F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2024
- Extent and Intensity
- 3/0/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Jana Musilová, CSc. (lecturer)
Mgr. Pavla Musilová, Ph.D. (lecturer) - Guaranteed by
- prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Timetable
- Mon 19. 2. to Sun 26. 5. Mon 8:00–10:50 F1 6/1014
- Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Learning outcomes
- At the end of the course student will be able to apply advanced concepts of the mathematical analysis and algebra (see Course Contents) to the situations typical for the bachelor course of general physics.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimensional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the second type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- required literature
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika II pro porozumění i praxi (Mathematics II for understanding and praxis). první. Brno: VUTIUM (Vysoké učení technické v Brně), 2012, 697 pp. ISBN 978-80-214-4071-5. info
- recommended literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis I). Vydání druhé, doplněné. Brno: VUTIUM, VUT Brno, 2009, 339 pp. Vysokoškolské učebnice. ISBN 978-80-214-3631-2. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Written examination, or successive oral examination. Student demonstrates his knowledge and practical skills of the topics of this course, and the ability do apply them to the concrete mathematics and physical situations.
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2025
- Extent and Intensity
- 3/0/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Jana Musilová, CSc. (lecturer)
- Guaranteed by
- prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Learning outcomes
- At the end of the course student will be able to apply advanced concepts of the mathematical analysis and algebra (see Course Contents) to the situations typical for the bachelor course of general physics.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimensional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the second type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- required literature
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika II pro porozumění i praxi (Mathematics II for understanding and praxis). první. Brno: VUTIUM (Vysoké učení technické v Brně), 2012, 697 pp. ISBN 978-80-214-4071-5. info
- recommended literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis I). Vydání druhé, doplněné. Brno: VUTIUM, VUT Brno, 2009, 339 pp. Vysokoškolské učebnice. ISBN 978-80-214-3631-2. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Written examination, or successive oral examination. Student demonstrates his knowledge and practical skills of the topics of this course, and the ability do apply them to the concrete mathematics and physical situations.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2023
- Extent and Intensity
- 3/0/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Jana Musilová, CSc. (lecturer)
- Guaranteed by
- prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Timetable
- Mon 12:00–14:50 F2 6/2012
- Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Learning outcomes
- At the end of the course student will be able to apply advanced concepts of the mathematical analysis and algebra (see Course Contents) to the situations typical for the bachelor course of general physics.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimensional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the second type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- required literature
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika II pro porozumění i praxi (Mathematics II for understanding and praxis). první. Brno: VUTIUM (Vysoké učení technické v Brně), 2012, 697 pp. ISBN 978-80-214-4071-5. info
- recommended literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis I). Vydání druhé, doplněné. Brno: VUTIUM, VUT Brno, 2009, 339 pp. Vysokoškolské učebnice. ISBN 978-80-214-3631-2. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Written examination, or successive oral examination. Student demonstrates his knowledge and practical skills of the topics of this course, and the ability do apply them to the concrete mathematics and physical situations.
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2022
- Extent and Intensity
- 3/0/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Jana Musilová, CSc. (lecturer)
- Guaranteed by
- prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Timetable
- Mon 12:00–14:50 F1 6/1014
- Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Learning outcomes
- At the end of the course student will be able to apply advanced concepts of the mathematical analysis and algebra (see Course Contents) to the situations typical for the bachelor course of general physics.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimensional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the second type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- required literature
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika II pro porozumění i praxi (Mathematics II for understanding and praxis). první. Brno: VUTIUM (Vysoké učení technické v Brně), 2012, 697 pp. ISBN 978-80-214-4071-5. info
- recommended literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis I). Vydání druhé, doplněné. Brno: VUTIUM, VUT Brno, 2009, 339 pp. Vysokoškolské učebnice. ISBN 978-80-214-3631-2. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Written examination, or successive oral examination. Student demonstrates his knowledge and practical skills of the topics of this course, and the ability do apply them to the concrete mathematics and physical situations.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2021
- Extent and Intensity
- 3/0/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Jana Musilová, CSc. (lecturer)
- Guaranteed by
- prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Timetable
- Mon 1. 3. to Fri 14. 5. Mon 12:00–14:50 F1 6/1014
- Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Learning outcomes
- At the end of the course student will be able to apply advanced concepts of the mathematical analysis and algebra (see Course Contents) to the situations typical for the bachelor course of general physics.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimensional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the second type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- required literature
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika II pro porozumění i praxi (Mathematics II for understanding and praxis). první. Brno: VUTIUM (Vysoké učení technické v Brně), 2012, 697 pp. ISBN 978-80-214-4071-5. info
- recommended literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis I). Vydání druhé, doplněné. Brno: VUTIUM, VUT Brno, 2009, 339 pp. Vysokoškolské učebnice. ISBN 978-80-214-3631-2. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Written examination, or successive oral examination. Student demonstrates his knowledge and practical skills of the topics of this course, and the ability do apply them to the concrete mathematics and physical situations.
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2020
- Extent and Intensity
- 3/0/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Jana Musilová, CSc. (lecturer)
Mgr. Pavla Musilová, Ph.D. (lecturer) - Guaranteed by
- prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Timetable
- Mon 11:00–13:50 F3,03015
- Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Learning outcomes
- At the end of the course student will be able to apply advanced concepts of the mathematical analysis and algebra (see Course Contents) to the situations typical for the bachelor course of general physics.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimensional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the second type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- required literature
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika II pro porozumění i praxi (Mathematics II for understanding and praxis). první. Brno: VUTIUM (Vysoké učení technické v Brně), 2012, 697 pp. ISBN 978-80-214-4071-5. info
- recommended literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis I). Vydání druhé, doplněné. Brno: VUTIUM, VUT Brno, 2009, 339 pp. Vysokoškolské učebnice. ISBN 978-80-214-3631-2. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Written examination, or successive oral examination. Student demonstrates his knowledge and practical skills of the topics of this course, and the ability do apply them to the concrete mathematics and physical situations.
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2019
- Extent and Intensity
- 3/0/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Jana Musilová, CSc. (lecturer)
- Guaranteed by
- prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Timetable
- Mon 18. 2. to Fri 17. 5. Mon 13:00–15:50 F4,03017
- Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimensional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the second type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- required literature
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika II pro porozumění i praxi (Mathematics II for understanding and praxis). první. Brno: VUTIUM (Vysoké učení technické v Brně), 2012, 697 pp. ISBN 978-80-214-4071-5. info
- recommended literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis I). Vydání druhé, doplněné. Brno: VUTIUM, VUT Brno, 2009, 339 pp. Vysokoškolské učebnice. ISBN 978-80-214-3631-2. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Oral examination. During individual discussion student demonstrate his theoretical knowledge of the topics of this course, and the ability do apply them to the concrete practical mathematics and physical situations.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of Sciencespring 2018
- Extent and Intensity
- 3/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
- Guaranteed by
- prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Timetable
- Wed 16:00–18:50 F4,03017
- Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimensional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the second type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- required literature
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika II pro porozumění i praxi (Mathematics II for understanding and praxis). první. Brno: VUTIUM (Vysoké učení technické v Brně), 2012, 697 pp. ISBN 978-80-214-4071-5. info
- recommended literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis I). Vydání druhé, doplněné. Brno: VUTIUM, VUT Brno, 2009, 339 pp. Vysokoškolské učebnice. ISBN 978-80-214-3631-2. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Oral examination. During individual discussion student demonstrate his theoretical knowledge of the topics of this course, and the ability do apply them to the concrete practical mathematics and physical situations.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2017
- Extent and Intensity
- 3/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
- Guaranteed by
- prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Timetable
- Mon 20. 2. to Mon 22. 5. Wed 17:00–19:50 F3,03015
- Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimensional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the second type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- required literature
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika II pro porozumění i praxi (Mathematics II for understanding and praxis). první. Brno: VUTIUM (Vysoké učení technické v Brně), 2012, 697 pp. ISBN 978-80-214-4071-5. info
- recommended literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis I). Vydání druhé, doplněné. Brno: VUTIUM, VUT Brno, 2009, 339 pp. Vysokoškolské učebnice. ISBN 978-80-214-3631-2. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Oral examination. During individual discussion student demonstrate his theoretical knowledge of the topics of this course, and the ability do apply them to the concrete practical mathematics and physical situations.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2016
- Extent and Intensity
- 3/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
- Guaranteed by
- prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Timetable
- Thu 12:00–14:50 F1 6/1014
- Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimensional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the second type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- required literature
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika II pro porozumění i praxi (Mathematics II for understanding and praxis). první. Brno: VUTIUM (Vysoké učení technické v Brně), 2012, 697 pp. ISBN 978-80-214-4071-5. info
- recommended literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis I). Vydání druhé, doplněné. Brno: VUTIUM, VUT Brno, 2009, 339 pp. Vysokoškolské učebnice. ISBN 978-80-214-3631-2. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Oral examination. During individual discussion student demonstrate his theoretical knowledge of the topics of this course, and the ability do apply them to the concrete practical mathematics and physical situations.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2015
- Extent and Intensity
- 3/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
- Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Timetable
- Thu 15:00–17:50 F1 6/1014
- Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimensional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the second type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- required literature
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika II pro porozumění i praxi (Mathematics II for understanding and praxis). první. Brno: VUTIUM (Vysoké učení technické v Brně), 2012, 697 pp. ISBN 978-80-214-4071-5. info
- recommended literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis I). Vydání druhé, doplněné. Brno: VUTIUM, VUT Brno, 2009, 339 pp. Vysokoškolské učebnice. ISBN 978-80-214-3631-2. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Oral examination. During individual discussion student demonstrate his theoretical knowledge of the topics of this course, and the ability do apply them to the concrete practical mathematics and physical situations.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2014
- Extent and Intensity
- 3/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
- Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Timetable
- Mon 13:00–15:50 F3,03015
- Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimensional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the second type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- required literature
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika II pro porozumění i praxi (Mathematics II for understanding and praxis). první. Brno: VUTIUM (Vysoké učení technické v Brně), 2012, 697 pp. ISBN 978-80-214-4071-5. info
- recommended literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis I). Vydání druhé, doplněné. Brno: VUTIUM, VUT Brno, 2009, 339 pp. Vysokoškolské učebnice. ISBN 978-80-214-3631-2. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Oral examination. During individual discussion student demonstrate his theoretical knowledge of the topics of this course, and the ability do apply them to the concrete practical mathematics and physical situations.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2013
- Extent and Intensity
- 3/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
- Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Timetable
- Wed 8:00–10:50 F1 6/1014
- Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimansional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the secnond type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- required literature
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika II pro porozumění i praxi (Mathematics II for understanding and praxis). první. Brno: VUTIUM (Vysoké učení technické v Brně), 2012, 697 pp. ISBN 978-80-214-4071-5. info
- recommended literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis I). Vydání druhé, doplněné. Brno: VUTIUM, VUT Brno, 2009, 339 pp. Vysokoškolské učebnice. ISBN 978-80-214-3631-2. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Oral examination.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2012
- Extent and Intensity
- 3/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
- Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Timetable
- Fri 7:00–9:50 F1 6/1014
- Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimansional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the secnond type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Written and oral examination.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2011
- Extent and Intensity
- 3/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
prof. RNDr. Jana Musilová, CSc. (lecturer) - Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D. - Timetable
- Mon 7:00–9:50 F4,03017
- Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimansional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the secnond type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Oral examination.
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2010
- Extent and Intensity
- 2/1. 4 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
Mgr. Marek Chrastina, Ph.D. (seminar tutor)
Mgr. Martin Bureš, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D. - Timetable
- Mon 8:00–9:50 F1 6/1014
- Timetable of Seminar Groups:
F2422/02: Wed 17:00–17:50 F3,03015, M. Chrastina
F2422/03: Wed 12:00–12:50 F3,03015, M. Bureš - Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra; to get routine numerical skills necessary for bachelor course of general physics.
- Syllabus
- 1. Double and triple integral, methods of calculation, physical and geometric applications (revision).
- 2. Surfaces in threedimansional euclidean space: parametrizations, cartesian equations.
- 3. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 4. Surface integral of the secnond type, physical applications (flow of a vector field).
- 5. Calculus of surface integrals.
- 6. Integral theorems.
- 7. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 8. Applications of integral theorems in fluid mechanics.
- 9. Series of functions: Taylor series, physical applications (estimations).
- 10. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 11. Elements of tensor algebra.
- Literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- Teaching methods
- Lectures: theoretical explanation with practical examples. Exercises: solving problems for understanding of basic concepts and theorems.
- Assessment methods
- graded credit (3 written tests during the semester, homeworks, necessity to frequent the course (this requirement is possible to compensate by solving examples))
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
F2422 Fundamental mathematical methods in physics
Faculty of ScienceSpring 2009
- Extent and Intensity
- 2/1. 4 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
Mgr. Marek Chrastina, Ph.D. (seminar tutor)
Mgr. Martin Bureš, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D. - Timetable
- Wed 7:00–8:50 F2 6/2012
- Timetable of Seminar Groups:
F2422/02: Wed 16:00–16:50 F1 6/1014, M. Bureš - Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra; to get routine numerical skills necessary for bachelor course of general physics.
- Syllabus
- 1. Double and triple integral, methods of calculation, physical and geometric applications (revision).
- 2. Surfaces in threedimansional euclidean space: parametrizations, cartesian equations.
- 3. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 4. Surface integral of the secnond type, physical applications (flow of a vector field).
- 5. Calculus of surface integrals.
- 6. Integral theorems.
- 7. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 8. Applications of integral theorems in fluid mechanics.
- 9. Series of functions: Taylor series, physical applications (estimations).
- 10. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 11. Elements of tensor algebra.
- Literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- Assessment methods
- graded credit (3 written tests during the semester, homeworks, necessity to frequent the course (this requirement is possible to compensate by solving examples))
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2008
- Extent and Intensity
- 2/1. 4 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
Mgr. Marek Chrastina, Ph.D. (seminar tutor)
Mgr. Martin Bureš, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D. - Timetable
- Fri 12:00–13:50 F1 6/1014
- Timetable of Seminar Groups:
F2422/02: Tue 12:00–12:50 F4,03017, M. Chrastina
F2422/03: Wed 13:00–13:50 F4,03017, M. Bureš - Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Course objectives (in Czech)
- Předmět je zaměřen na získání přehledu o základních matematických postupech používaných ve fyzikálních teoriích, především z oblasti matematické analýzy (diferenciální a integrální počet funkcí více proměnných, vektorová analýza, plošný integrál, integrální věty). Důraz je kladen na pochopení základních pojmů, výpočetní praxi a fyzikální aplikace.
- Syllabus
- 1. Double and triple integral, methods of calculation, physical and geometric applications (revision). 2. Surfaces in threedimansional euclidean space: parametrizations, cartesian equations. 3. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia). 4. Surface integral of the secnond type, physical applications (flow of a vector field). 5. Calculus of surface integrals. 6. Integral theorems. 7. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations. 8. Applications of integral theorems in fluid mechanics. 9. Series of functions: Taylor series, physical applications (estimations). 10. Series of functions: Fourier series, applications (Fourier analysis of a signal). 11. Elements of tensor algebra.
- Literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- Assessment methods (in Czech)
- přednáška+cvičení, klasifikovaný zápočet - viz podmínky v položce Informace učitele.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
F2422 Fundamental mathematical methods in physics
Faculty of ScienceSpring 2007
- Extent and Intensity
- 2/1. 4 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
Mgr. Marek Chrastina, Ph.D. (seminar tutor)
Mgr. Tomáš Nečas, Ph.D. (seminar tutor)
Mgr. Roman Šteigl, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D. - Timetable
- Wed 11:00–12:50 F2 6/2012
- Timetable of Seminar Groups:
F2422/02: Thu 16:00–16:50 F4,03017, T. Nečas
F2422/03: Thu 12:00–12:50 F3,03015, R. Šteigl - Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Course objectives (in Czech)
- Předmět je zaměřen na získání přehledu o základních matematických postupech používaných ve fyzikálních teoriích, především z oblasti matematické analýzy (diferenciální a integrální počet funkcí více proměnných, vektorová analýza, plošný integrál, integrální věty). Důraz je kladen na pochopení základních pojmů, výpočetní praxi a fyzikální aplikace.
- Syllabus
- 1. Double and triple integral, methods of calculation, physical and geometric applications (revision). 2. Surfaces in threedimansional euclidean space: parametrizations, cartesian equations. 3. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia). 4. Surface integral of the secnond type, physical applications (flow of a vector field). 5. Calculus of surface integrals. 6. Integral theorems. 7. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations. 8. Applications of integral theorems in fluid mechanics. 9. Series of functions: Taylor series, physical applications (estimations). 10. Series of functions: Fourier series, applications (Fourier analysis of a signal). 11. Elements of tensor algebra.
- Literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- Assessment methods (in Czech)
- přednáška+cvičení, klasifikovaný zápočet - viz podmínky v položce Informace učitele.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
F2422 Fundamental mathematical methods in physics
Faculty of ScienceSpring 2006
- Extent and Intensity
- 2/1. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (seminar tutor)
Mgr. Ondřej Přibyla (seminar tutor)
prof. RNDr. Jana Musilová, CSc. (lecturer)
Mgr. Tomáš Nečas, Ph.D. (seminar tutor)
Mgr. Roman Šteigl, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D. - Timetable
- Thu 15:00–16:50 F1 6/1014
- Timetable of Seminar Groups:
F2422/02: Mon 8:00–8:50 F2 6/2012, J. Musilová, T. Nečas
F2422/03: Mon 11:00–11:50 F1 6/1014, J. Musilová, O. Přibyla
F2422/04: Wed 18:00–18:50 F1 6/1014, J. Musilová, R. Šteigl - Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Course objectives (in Czech)
- Předmět je zaměřen na získání přehledu o základních matematických postupech používaných ve fyzikálních teoriích, především z oblasti matematické analýzy (diferenciální a integrální počet funkcí více proměnných, vektorová analýza, plošný integrál, integrální věty, diferenciální rovnice). Důraz je kladen na pochopení základních pojmů, výpočetní praxi a fyzikální aplikace.
- Syllabus
- 1. Surfaces in threedimansional euclidean space: parametrizations, cartesian equations. 2. Quadratic surfaces, classification, physical applications. 3. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia). 4. Surface integral of the secnond type, physical applications (flow of a vector field). 5. Calculus of surface integrals. 6. Integral theorems. 7. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations. 8. Applications of integral theorems in fluid mechanics. 9. Series of functions: Taylor series, physical applications (estimations). 10. Series of functions: Fourier series, applications (Fourier analysis of a signal). 11. Integral transforms (fundamental properties), Laplace and Fourier transforms, applications (solving differential equations). 12. Some aspects of solving differential equations. 13. Reserved time.
- Literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- Assessment methods (in Czech)
- přednáška+cvičení, klasifikovaný zápočet - viz podmínky v položce Informace učitele.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
F2422 Fundamental mathematical methods in physics
Faculty of ScienceSpring 2005
- Extent and Intensity
- 2/1. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- Mgr. Pavla Musilová, Ph.D. (lecturer)
Mgr. Ondřej Přibyla (assistant)
Mgr. Petr Velan (seminar tutor)
doc. Mgr. Josef Klusoň, Ph.D., DSc. (seminar tutor)
Mgr. Martin Netolický (seminar tutor)
Mgr. Roman Šteigl, Ph.D. (seminar tutor)
Mgr. Martin Mráz (assistant)
prof. RNDr. Jana Musilová, CSc. (lecturer) - Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Pavla Musilová, Ph.D. - Timetable
- Wed 11:00–12:50 U-aula
- Timetable of Seminar Groups:
F2422/02: Mon 17:00–18:50 F23-109, R. Šteigl
F2422/03: Tue 15:00–16:50 F23-106, J. Klusoň
F2422/04: Tue 10:00–11:50 F23-106, P. Velan - Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Course objectives (in Czech)
- Předmět je zaměřen na získání přehledu o základních matematických postupech používaných ve fyzikálních teoriích, především z oblasti matematické analýzy (diferenciální a integrální počet funkcí více proměnných, vektorová analýza, plošný integrál, integrální věty, diferenciální rovnice). Důraz je kladen na pochopení základních pojmů, výpočetní praxi a fyzikální aplikace.
- Syllabus
- 1. Surfaces in threedimansional euclidean space: parametrizations, cartesian equations. 2. Quadratic surfaces, classification, physical applications. 3. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia). 4. Surface integral of the secnond type, physical applications (flow of a vector field). 5. Calculus of surface integrals. 6. Integral theorems. 7. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations. 8. Applications of integral theorems in fluid mechanics. 9. Series of functions: Taylor series, physical applications (estimations). 10. Series of functions: Fourier series, applications (Fourier analysis of a signal). 11. Integral transforms (fundamental properties), Laplace and Fourier transforms, applications (solving differential equations). 12. Some aspects of solving differential equations. 13. Reserved time.
- Literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- Assessment methods (in Czech)
- přednáška+cvičení, klasifikovaný zápočet - viz podmínky v položce Informace učitele.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
F2422 Fundamental mathematical methods in physics
Faculty of ScienceSpring 2004
- Extent and Intensity
- 2/1. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- Mgr. Pavla Musilová, Ph.D. (seminar tutor)
Mgr. Ondřej Přibyla (seminar tutor)
prof. RNDr. Jana Musilová, CSc. (lecturer)
Mgr. Anna Campbellová, Ph.D. (seminar tutor)
doc. Mgr. Josef Klusoň, Ph.D., DSc. (seminar tutor)
Mgr. Aleš Paták, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc. - Timetable of Seminar Groups
- F2422/01: No timetable has been entered into IS. A. Paták
F2422/02: No timetable has been entered into IS. J. Klusoň
F2422/03: No timetable has been entered into IS. O. Přibyla
F2422/04: No timetable has been entered into IS. A. Campbellová - Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Course objectives (in Czech)
- Předmět je zaměřen na získání přehledu o základních matematických postupech používaných ve fyzikálních teoriích, především z oblasti matematické analýzy (diferenciální a integrální počet funkcí více proměnných, vektorová analýza, plošný integrál, integrální věty, diferenciální rovnice). Důraz je kladen na pochopení základních pojmů, výpočetní praxi a fyzikální aplikace.
- Syllabus
- 1. Surfaces in threedimansional euclidean space: parametrizations, cartesian equations. 2. Quadratic surfaces, classification, physical applications. 3. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia). 4. Surface integral of the secnond type, physical applications (flow of a vector field). 5. Calculus of surface integrals. 6. Integral theorems. 7. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations. 8. Applications of integral theorems in fluid mechanics. 9. Series of functions: Taylor series, physical applications (estimations). 10. Series of functions: Fourier series, applications (Fourier analysis of a signal). 11. Integral transforms (fundamental properties), Laplace and Fourier transforms, applications (solving differential equations). 12. Some aspects of solving differential equations. 13. Reserved time.
- Literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- Assessment methods (in Czech)
- přednáška+cvičení, klasifikovaný zápočet - viz podmínky v položce Informace učitele.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
F2422 Fundamental mathematical methods in physics
Faculty of ScienceSpring 2003
- Extent and Intensity
- 2/1. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- Mgr. Pavla Musilová, Ph.D. (seminar tutor)
Mgr. Ondřej Přibyla (seminar tutor)
prof. RNDr. Jana Musilová, CSc. (lecturer) - Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc. - Timetable of Seminar Groups
- F2422/01: No timetable has been entered into IS. P. Musilová, O. Přibyla
F2422/02: No timetable has been entered into IS. P. Musilová, O. Přibyla - Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Course objectives (in Czech)
- Předmět je zaměřen na získání přehledu o základních matematických postupech používaných ve fyzikálních teoriích, především z oblasti matematické analýzy (diferenciální a integrální počet funkcí více proměnných, vektorová analýza, křivkový a plošný integrál, integrální věty, diferenciální rovnice). Důraz je kladen na pochopení základních pojmů, výpočetní praxi a fyzikální aplikace.
- Syllabus
- 1. Basic operations with scalar and vector functions of many variables, derivative along a direction, gradient, divergence, rotation. 2. Double and triple integral, Fubini theorem, transformation of integrals. 3. Total differential of functions of many variables. 4. Curve integral of the first and second type, work of a force field. 5. Surface integral of the first and second type, flow of a vector field. 6. Integral theorems. 7. Physical applications of integrals. Integral and differential form of Maxwell equations. 8. Applications of integral theorems in fluid mechanics. 9. Fourier series, applications. 10.,11. Some aspects of solving differential equations.
- Assessment methods (in Czech)
- přednáška+cvičení, klasifikovaný zápočet - viz podmínky v položce Informace učitele.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
F2422 Základní matematické metody ve Fyzice 2
Faculty of ScienceSpring 2002
- Extent and Intensity
- 2/1. 4 credit(s). Type of Completion: graded credit.
- Teacher(s)
- doc. Franz Hinterleitner, Ph.D. (lecturer)
prof. RNDr. Jana Musilová, CSc. (lecturer) - Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Physics Section – Faculty of Science
Contact Person: doc. Franz Hinterleitner, Ph.D. - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Course objectives (in Czech)
- Základy vektorové analýzy: vektorové funkce v R^3, definice divergence, rotace, Laplaceova operátoru, pojem tenzoru, identity pro operátory vektorové analýzy; orientované integrační obory a jejich orientované okraje, integralní věty: Gaussova, Greeneova, Stokesova věta; jednoduché příklady Hamiltonových-Jacobiho diferenciálních rovnic, součtový ansatz k separaci proměnných; přehled o lineárních parciálních diferenciálních rovnic druheho řadu, součinový ansatz, příklady: jednorozměrné vedení tepla, jednorozměrná vlnová rovnice, Poissonova rovnice, Keplerův problém; metoda řešení diferenciálních rovnic pomoci Greenovy funkce.
- Syllabus (in Czech)
- Základy vektorové analýzy: vektorové funkce v R^3, definice divergence, rotace, Laplaceova operátoru, pojem tenzoru, identity pro operátory vektorové analýzy; orientované integrační obory a jejich orientované okraje, integralní věty: Gaussova, Greeneova, Stokesova věta; jednoduché příklady Hamiltonových-Jacobiho diferenciálních rovnic, součtový ansatz k separaci proměnných; přehled o lineárních parciálních diferenciálních rovnic druheho řadu, součinový ansatz, příklady: jednorozměrné vedení tepla, jednorozměrná vlnová rovnice, Poissonova rovnice, Keplerův problém; metoda řešení diferenciálních rovnic pomoci Greenovy funkce.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week.
F2422 Fundamental mathematical methods in physics 2
Faculty of Sciencespring 2012 - acreditation
The information about the term spring 2012 - acreditation is not made public
- Extent and Intensity
- 3/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
- Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science - Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, B-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimansional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the secnond type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Written and oral examination.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week.
F2422 Fundamental mathematical methods in physics 2
Faculty of ScienceSpring 2011 - only for the accreditation
- Extent and Intensity
- 3/0. 3 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
prof. RNDr. Jana Musilová, CSc. (lecturer) - Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D. - Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Course objectives
- The course gives the basic review of fundamental mathematical procedures used in physical theories, mainly those of mathematical analysis (differential and integral calculus of the many variables functions, vector analysis, surface integrals, integral theorems) and algebra (basic tensor calculus). The understanding of fundamental concepts, calculus, and physical applications are emphasized. The main objectives can be summarized as follows: to get prompt review of basic terms of mathematical analysis and algebra. Routine numerical skills necessary for bachelor course of general physics are obtained in seminar F2423.
- Syllabus
- 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
- 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
- 3. Surfaces in threedimansional euclidean space: parametrizations, cartesian equations.
- 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
- 5. Surface integral of the secnond type, physical applications (flow of a vector field).
- 6. Calculus of surface integrals.
- 7. Integral theorems.
- 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
- 9. Applications of integral theorems in fluid mechanics.
- 10. Series of functions: Taylor series, physical applications (estimations).
- 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
- 12. Elements of tensor algebra.
- Literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- Teaching methods
- Lectures: theoretical explanation with practical examples.
- Assessment methods
- Written and oral examination.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week.
F2422 Fundamental mathematical methods in physics
Faculty of ScienceSpring 2008 - for the purpose of the accreditation
- Extent and Intensity
- 2/1. 4 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- Mgr. Lenka Czudková, Ph.D. (lecturer)
Mgr. Marek Chrastina, Ph.D. (seminar tutor)
Mgr. Roman Šteigl, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D. - Prerequisites
- Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Course objectives (in Czech)
- Předmět je zaměřen na získání přehledu o základních matematických postupech používaných ve fyzikálních teoriích, především z oblasti matematické analýzy (diferenciální a integrální počet funkcí více proměnných, vektorová analýza, plošný integrál, integrální věty). Důraz je kladen na pochopení základních pojmů, výpočetní praxi a fyzikální aplikace.
- Syllabus
- 1. Double and triple integral, methods of calculation, physical and geometric applications (revision). 2. Surfaces in threedimansional euclidean space: parametrizations, cartesian equations. 3. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia). 4. Surface integral of the secnond type, physical applications (flow of a vector field). 5. Calculus of surface integrals. 6. Integral theorems. 7. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations. 8. Applications of integral theorems in fluid mechanics. 9. Series of functions: Taylor series, physical applications (estimations). 10. Series of functions: Fourier series, applications (Fourier analysis of a signal). 11. Elements of tensor algebra.
- Literature
- KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
- Assessment methods (in Czech)
- přednáška+cvičení, klasifikovaný zápočet - viz podmínky v položce Informace učitele.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
The course is taught: every week.
- Enrolment Statistics (recent)