F2423 Computing practice 2

Faculty of Science
Spring 2025
Extent and Intensity
0/3/0. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Ing. arch. Petr Kurfürst, Ph.D. (lecturer)
Guaranteed by
Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Prerequisites
Mastering mathematics at the level of the course F1422 Computing practice 1.
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
Course objectives
Acquiring routine numerical skills necessary for the bachelor course of physics and applied physics.
Learning outcomes
Students will be able to:
- solve the surface integrals of the 1st and 2nd types and the volume integrals and apply them to physical and geometric situations in Cartesian, cylindrical and spherical coordinates;
- solve the above-mentioned integrals using integral theorems - Green's, Stokes' and Gauss's;
- master the principles of the expansion of functions of one or more variables into series - Taylor and Fourier - and use these expansions to solve physical problems;
- understand the basics of computation with complex numbers and complex variable functions;
- understand the basics of tensor algebra.
Syllabus
  • 1. Double integral: Fubini's theorem, integral transformation theorem, physical applications (surface area, physical characteristics of two-dimensional structures with continuously distributed mass, i.e., total mass, center of gravity, moments of inertia).
  • 2. Triple integral: Fubini's theorem, integral transformation theorem, physical applications (volume, physical characteristics of three-dimensional structures with continuously distributed mass, i.e., total mass, center of gravity, moments of inertia).
  • 3. Surfaces in three-dimensional Euclidean space: parametrization, Cartesian equations.
  • 4. Surface integral of the first type, physical characteristics of surface formations (mass, center of gravity, moment of inertia).
  • 5. Surface integral of the second type, physical applications (vector field flux through the surface).
  • 6. Practical calculations of surface integrals.
  • 7. Integral theorems.
  • 8. Physical applications of multidimensional integrals and integral theorems: differential and integral forms of Maxwell equations.
  • 9. Applications of integral theorems in continuum mechanics.
  • 10. Expansion of functions to series: Taylor series, physical applications (estimates).
  • 11. Expansion of functions to series: Fourier series, applications (Fourier signal analysis).
  • 12. Fundamentals of tensor algebra.
Literature
    recommended literature
  • KURFÜRST, Petr. Početní praktikum. 2. vyd. Brno: Masarykova univerzita, 2017. Elportál. ISBN 978-80-210-8686-9. html PURL url info
  • KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
  • ARFKEN, George B. and Hans-Jurgen WEBER. Mathematical methods for physicists. 6th ed. Amsterdam: Elsevier, 2005, xii, 1182. ISBN 0120598760. info
Teaching methods
Practical course based on solving typical problems.
Assessment methods
According to the 'Masaryk University Study and Examination Regulations', Article 9 (2), attendance at lessons is obligatory for full-time students, only one unexcused absence during the semester is allowed. Attendance at lessons can be substituted by additional examples from the textbook "Kurfürst Petr, Computational Practice, 2017", published on the course pages, these examples will be individually assigned by the teacher. Additional examples must be submitted by the end of the examination period, but it is better to submit them continuously. The activity in the course is evaluated by crediting one point to the appropriate student for correct and complete solution of one of the given examples. The semestral stuff is divided into three sub-exams, which will be written during the semester, typically in the 5th, 9th and last week. A maximum of 10 points can be earned for each exam. Students who earn less than 15 points during the semester will write the fourth test of the whole semester. There is a time limit of 60 - 90 minutes per test. At their own discretion, previously successful students can also improve their grading by oral examination. Students in the combined form also write 3 sub-exams or they can write one summary exam in the exam period. The final grading is determined from the total number of points earned during the semester. All details regarding the method of grading and more are given on the course pages on my website.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught: every week.
Teacher's information
http://physics.muni.cz/~petrk/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024.

F2423 Computing practice 2

Faculty of Science
Spring 2024
Extent and Intensity
0/3/0. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Ing. arch. Petr Kurfürst, Ph.D. (lecturer)
Guaranteed by
Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable
Mon 19. 2. to Sun 26. 5. Wed 8:00–10:50 F3,03015
Prerequisites
Mastering mathematics at the level of the course F1422 Computing practice 1.
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
Course objectives
Acquiring routine numerical skills necessary for the bachelor course of physics and applied physics.
Learning outcomes
Students will be able to:
- solve the surface integrals of the 1st and 2nd types and the volume integrals and apply them to physical and geometric situations in Cartesian, cylindrical and spherical coordinates;
- solve the above-mentioned integrals using integral theorems - Green's, Stokes' and Gauss's;
- master the principles of the expansion of functions of one or more variables into series - Taylor and Fourier - and use these expansions to solve physical problems;
- understand the basics of computation with complex numbers and complex variable functions;
- understand the basics of tensor algebra.
Syllabus
  • 1. Double integral: Fubini's theorem, integral transformation theorem, physical applications (surface area, physical characteristics of two-dimensional structures with continuously distributed mass, i.e., total mass, center of gravity, moments of inertia).
  • 2. Triple integral: Fubini's theorem, integral transformation theorem, physical applications (volume, physical characteristics of three-dimensional structures with continuously distributed mass, i.e., total mass, center of gravity, moments of inertia).
  • 3. Surfaces in three-dimensional Euclidean space: parametrization, Cartesian equations.
  • 4. Surface integral of the first type, physical characteristics of surface formations (mass, center of gravity, moment of inertia).
  • 5. Surface integral of the second type, physical applications (vector field flux through the surface).
  • 6. Practical calculations of surface integrals.
  • 7. Integral theorems.
  • 8. Physical applications of multidimensional integrals and integral theorems: differential and integral forms of Maxwell equations.
  • 9. Applications of integral theorems in continuum mechanics.
  • 10. Expansion of functions to series: Taylor series, physical applications (estimates).
  • 11. Expansion of functions to series: Fourier series, applications (Fourier signal analysis).
  • 12. Fundamentals of tensor algebra.
Literature
    recommended literature
  • KURFÜRST, Petr. Početní praktikum. 2. vyd. Brno: Masarykova univerzita, 2017. Elportál. ISBN 978-80-210-8686-9. html PURL url info
  • KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
  • ARFKEN, George B. and Hans-Jurgen WEBER. Mathematical methods for physicists. 6th ed. Amsterdam: Elsevier, 2005, xii, 1182. ISBN 0120598760. info
Teaching methods
Practical course based on solving typical problems.
Assessment methods
According to the 'Masaryk University Study and Examination Regulations', Article 9 (2), attendance at lessons is obligatory for full-time students, only one unexcused absence during the semester is allowed. Attendance at lessons can be substituted by additional examples from the textbook "Kurfürst Petr, Computational Practice, 2017", published on the course pages, these examples will be individually assigned by the teacher. Additional examples must be submitted by the end of the examination period, but it is better to submit them continuously. The activity in the course is evaluated by crediting one point to the appropriate student for correct and complete solution of one of the given examples. The semestral stuff is divided into three sub-exams, which will be written during the semester, typically in the 5th, 9th and last week. A maximum of 10 points can be earned for each exam. Students who earn less than 15 points during the semester will write the fourth test of the whole semester. There is a time limit of 60 - 90 minutes per test. At their own discretion, previously successful students can also improve their grading by oral examination. Students in the combined form also write 3 sub-exams or they can write one summary exam in the exam period. The final grading is determined from the total number of points earned during the semester. All details regarding the method of grading and more are given on the course pages on my website.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~petrk/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2025.

F2423 Computing practice 2

Faculty of Science
Spring 2023
Extent and Intensity
0/3/0. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Ing. arch. Petr Kurfürst, Ph.D. (lecturer)
Guaranteed by
Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable of Seminar Groups
F2423/01: Fri 13:00–15:50 F1 6/1014
F2423/02: Wed 8:00–10:50 F4,03017
Prerequisites
Mastering mathematics at the level of the course F1422 Computing practice 1.
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
Course objectives
Acquiring routine numerical skills necessary for the bachelor course of physics and applied physics.
Learning outcomes
Students will be able to:
- solve the surface integrals of the 1st and 2nd types and the volume integrals and apply them to physical and geometric situations in Cartesian, cylindrical and spherical coordinates;
- solve the above-mentioned integrals using integral theorems - Green's, Stokes' and Gauss's;
- master the principles of the expansion of functions of one or more variables into series - Taylor and Fourier - and use these expansions to solve physical problems;
- understand the basics of computation with complex numbers and complex variable functions;
- understand the basics of tensor algebra.
Syllabus
  • 1. Double integral: Fubini's theorem, integral transformation theorem, physical applications (surface area, physical characteristics of two-dimensional structures with continuously distributed mass, i.e., total mass, center of gravity, moments of inertia).
  • 2. Triple integral: Fubini's theorem, integral transformation theorem, physical applications (volume, physical characteristics of three-dimensional structures with continuously distributed mass, i.e., total mass, center of gravity, moments of inertia).
  • 3. Surfaces in three-dimensional Euclidean space: parametrization, Cartesian equations.
  • 4. Surface integral of the first type, physical characteristics of surface formations (mass, center of gravity, moment of inertia).
  • 5. Surface integral of the second type, physical applications (vector field flux through the surface).
  • 6. Practical calculations of surface integrals.
  • 7. Integral theorems.
  • 8. Physical applications of multidimensional integrals and integral theorems: differential and integral forms of Maxwell equations.
  • 9. Applications of integral theorems in continuum mechanics.
  • 10. Expansion of functions to series: Taylor series, physical applications (estimates).
  • 11. Expansion of functions to series: Fourier series, applications (Fourier signal analysis).
  • 12. Fundamentals of tensor algebra.
Literature
    recommended literature
  • KURFÜRST, Petr. Početní praktikum. 2. vyd. Brno: Masarykova univerzita, 2017. Elportál. ISBN 978-80-210-8686-9. html PURL url info
  • KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
  • ARFKEN, George B. and Hans-Jurgen WEBER. Mathematical methods for physicists. 6th ed. Amsterdam: Elsevier, 2005, xii, 1182. ISBN 0120598760. info
Teaching methods
Practical course based on solving typical problems.
Assessment methods
According to the 'Masaryk University Study and Examination Regulations', Article 9 (2), attendance at lessons is obligatory for full-time students, only one unexcused absence during the semester is allowed. Attendance at lessons can be substituted by additional examples from the textbook "Kurfürst Petr, Computational Practice, 2017", published on the course pages, these examples will be individually assigned by the teacher. Additional examples must be submitted by the end of the examination period, but it is better to submit them continuously. The activity in the course is evaluated by crediting one point to the appropriate student for correct and complete solution of one of the given examples. The semestral stuff is divided into three sub-exams, which will be written during the semester, typically in the 5th, 9th and last week. A maximum of 10 points can be earned for each exam. Students who earn less than 15 points during the semester will write the fourth test of the whole semester. There is a time limit of 60 - 90 minutes per test. At their own discretion, previously successful students can also improve their grading by oral examination. Students in the combined form also write 3 sub-exams or they can write one summary exam in the exam period. The final grading is determined from the total number of points earned during the semester. All details regarding the method of grading and more are given on the course pages on my website.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~petrk/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2024, Spring 2025.

F2423 Computing practice 2

Faculty of Science
Spring 2022
Extent and Intensity
0/3/0. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Ing. arch. Petr Kurfürst, Ph.D. (lecturer)
Guaranteed by
Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable
Wed 15:00–17:50 F3,03015
Prerequisites
Mastering mathematics at the level of the course F1422 Computing practice 1.
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
Course objectives
Acquiring routine numerical skills necessary for the bachelor course of physics and applied physics.
Learning outcomes
Students will be able to:
- solve the surface integrals of the 1st and 2nd types and the volume integrals and apply them to physical and geometric situations in Cartesian, cylindrical and spherical coordinates;
- solve the above-mentioned integrals using integral theorems - Green's, Stokes' and Gauss's;
- master the principles of the expansion of functions of one or more variables into series - Taylor and Fourier - and use these expansions to solve physical problems;
- understand the basics of computation with complex numbers and complex variable functions;
- understand the basics of tensor algebra.
Syllabus
  • 1. Double integral: Fubini's theorem, integral transformation theorem, physical applications (surface area, physical characteristics of two-dimensional structures with continuously distributed mass, i.e., total mass, center of gravity, moments of inertia).
  • 2. Triple integral: Fubini's theorem, integral transformation theorem, physical applications (volume, physical characteristics of three-dimensional structures with continuously distributed mass, i.e., total mass, center of gravity, moments of inertia).
  • 3. Surfaces in three-dimensional Euclidean space: parametrization, Cartesian equations.
  • 4. Surface integral of the first type, physical characteristics of surface formations (mass, center of gravity, moment of inertia).
  • 5. Surface integral of the second type, physical applications (vector field flux through the surface).
  • 6. Practical calculations of surface integrals.
  • 7. Integral theorems.
  • 8. Physical applications of multidimensional integrals and integral theorems: differential and integral forms of Maxwell equations.
  • 9. Applications of integral theorems in continuum mechanics.
  • 10. Expansion of functions to series: Taylor series, physical applications (estimates).
  • 11. Expansion of functions to series: Fourier series, applications (Fourier signal analysis).
  • 12. Fundamentals of tensor algebra.
Literature
    recommended literature
  • KURFÜRST, Petr. Početní praktikum. 2. vyd. Brno: Masarykova univerzita, 2017. Elportál. ISBN 978-80-210-8686-9. html PURL url info
  • KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
  • ARFKEN, George B. and Hans-Jurgen WEBER. Mathematical methods for physicists. 6th ed. Amsterdam: Elsevier, 2005, xii, 1182. ISBN 0120598760. info
Teaching methods
Practical course based on solving typical problems.
Assessment methods
According to the 'Masaryk University Study and Examination Regulations', Article 9 (2), attendance at lessons is obligatory for full-time students, only one unexcused absence during the semester is allowed. Attendance at lessons can be substituted by additional examples from the textbook "Kurfürst Petr, Computational Practice, 2017", published on the course pages, these examples will be individually assigned by the teacher. Additional examples must be submitted by the end of the examination period, but it is better to submit them continuously. The activity in the course is evaluated by crediting one point to the appropriate student for correct and complete solution of one of the given examples. The semestral stuff is divided into three sub-exams, which will be written during the semester, typically in the 5th, 9th and last week. A maximum of 10 points can be earned for each exam. Students who earn less than 15 points during the semester will write the fourth test of the whole semester. There is a time limit of 60 - 90 minutes per test. At their own discretion, previously successful students can also improve their grading by oral examination. Students in the combined form also write 3 sub-exams or they can write one summary exam in the exam period. The final grading is determined from the total number of points earned during the semester. All details regarding the method of grading and more are given on the course pages on my website.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~petrk/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2023, Spring 2024, Spring 2025.

F2423 Computing practice 2

Faculty of Science
Spring 2021
Extent and Intensity
0/3/0. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Ing. arch. Petr Kurfürst, Ph.D. (lecturer)
Guaranteed by
Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable
Mon 1. 3. to Fri 14. 5. Thu 8:00–10:50 F3,03015
Prerequisites
Mastering mathematics at the level of the course F1422 Computing practice 1.
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
Course objectives
Acquiring routine numerical skills necessary for the bachelor course of physics and applied physics.
Learning outcomes
Students will be able to:
- solve the surface integrals of the 1st and 2nd types and the volume integrals and apply them to physical and geometric situations in Cartesian, cylindrical and spherical coordinates;
- solve the above-mentioned integrals using integral theorems - Green's, Stokes' and Gauss's;
- master the principles of the expansion of functions of one or more variables into series - Taylor and Fourier - and use these expansions to solve physical problems;
- understand the basics of computation with complex numbers and complex variable functions;
- understand the basics of tensor algebra.
Syllabus
  • 1. Double integral: Fubini's theorem, integral transformation theorem, physical applications (surface area, physical characteristics of two-dimensional structures with continuously distributed mass, i.e., total mass, center of gravity, moments of inertia).
  • 2. Triple integral: Fubini's theorem, integral transformation theorem, physical applications (volume, physical characteristics of three-dimensional structures with continuously distributed mass, i.e., total mass, center of gravity, moments of inertia).
  • 3. Surfaces in three-dimensional Euclidean space: parametrization, Cartesian equations.
  • 4. Surface integral of the first type, physical characteristics of surface formations (mass, center of gravity, moment of inertia).
  • 5. Surface integral of the second type, physical applications (vector field flux through the surface).
  • 6. Practical calculations of surface integrals.
  • 7. Integral theorems.
  • 8. Physical applications of multidimensional integrals and integral theorems: differential and integral forms of Maxwell equations.
  • 9. Expansion of functions to series: Taylor series, physical applications (estimates).
  • 10. Expansion of functions to series: Fourier series, applications (Fourier signal analysis).
  • 11. Complex numbers and functions of a complex variable.
  • 12. Fundamentals of tensor algebra.
Literature
    recommended literature
  • KURFÜRST, Petr. Početní praktikum. 2. vyd. Brno: Masarykova univerzita, 2017. Elportál. ISBN 978-80-210-8686-9. html PURL url info
  • KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
  • ARFKEN, George B. and Hans-Jurgen WEBER. Mathematical methods for physicists. 6th ed. Amsterdam: Elsevier, 2005, xii, 1182. ISBN 0120598760. info
Teaching methods
Practical course based on solving typical problems.
Assessment methods
According to the 'Masaryk University Study and Examination Regulations', Article 9 (2), attendance at lessons is obligatory for full-time students, only one unexcused absence during the semester is allowed. Attendance at lessons can be substituted by additional examples from the textbook "Kurfürst Petr, Computational Practice, 2017", published on the course pages, these examples will be individually assigned by the teacher. Additional examples must be submitted by the end of the examination period, but it is better to submit them continuously. The activity in the course is evaluated by crediting one point to the appropriate student for correct and complete solution of one of the given examples. The semestral stuff is divided into three sub-exams, which will be written during the semester, typically in the 5th, 9th and last week. A maximum of 10 points can be earned for each exam. Students who earn less than 15 points during the semester will write the fourth test of the whole semester. There is a time limit of 60 - 90 minutes per test. At their own discretion, previously successful students can also improve their grading by oral examination. Students in the combined form also write 3 sub-exams or they can write one summary exam in the exam period. The final grading is determined from the total number of points earned during the semester. All details regarding the method of grading and more are given on the course pages on my website.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~petrk/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2022, Spring 2023, Spring 2024, Spring 2025.

F2423 Computing practice 2

Faculty of Science
Spring 2020
Extent and Intensity
0/3/0. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Ing. arch. Petr Kurfürst, Ph.D. (lecturer)
Guaranteed by
Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable of Seminar Groups
F2423/01: Fri 13:00–15:50 F1 6/1014
Prerequisites
Mastering mathematics at the level of the course F1422 Computing practice 1.
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
Course objectives
Acquiring routine numerical skills necessary for the bachelor course of physics and applied physics.
Learning outcomes
Students will be able to:
- solve the surface integrals of the 1st and 2nd types and the volume integrals and apply them to physical and geometric situations in Cartesian, cylindrical and spherical coordinates;
- solve the above-mentioned integrals using integral theorems - Green's, Stokes' and Gauss's;
- master the principles of the expansion of functions of one or more variables into series - Taylor and Fourier - and use these expansions to solve physical problems;
- understand the basics of computation with complex numbers and complex variable functions;
- understand the basics of tensor algebra.
Syllabus
  • 1. Double integral: Fubini's theorem, integral transformation theorem, physical applications (surface area, physical characteristics of two-dimensional structures with continuously distributed mass, i.e., total mass, center of gravity, moments of inertia).
  • 2. Triple integral: Fubini's theorem, integral transformation theorem, physical applications (volume, physical characteristics of three-dimensional structures with continuously distributed mass, i.e., total mass, center of gravity, moments of inertia).
  • 3. Surfaces in three-dimensional Euclidean space: parametrization, Cartesian equations.
  • 4. Surface integral of the first type, physical characteristics of surface formations (mass, center of gravity, moment of inertia).
  • 5. Surface integral of the second type, physical applications (vector field flux through the surface).
  • 6. Practical calculations of surface integrals.
  • 7. Integral theorems.
  • 8. Physical applications of multidimensional integrals and integral theorems: differential and integral forms of Maxwell equations.
  • 9. Applications of integral theorems in continuum mechanics.
  • 10. Expansion of functions to series: Taylor series, physical applications (estimates).
  • 11. Expansion of functions to series: Fourier series, applications (Fourier signal analysis).
  • 12. Fundamentals of tensor algebra.
Literature
    recommended literature
  • KURFÜRST, Petr. Početní praktikum. 2. vyd. Brno: Masarykova univerzita, 2017. Elportál. ISBN 978-80-210-8686-9. html PURL url info
  • KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
  • ARFKEN, George B. and Hans-Jurgen WEBER. Mathematical methods for physicists. 6th ed. Amsterdam: Elsevier, 2005, xii, 1182. ISBN 0120598760. info
Teaching methods
Practical course based on solving typical problems.
Assessment methods
According to the 'Masaryk University Study and Examination Regulations', Article 9 (2), attendance at lessons is obligatory for full-time students, only one unexcused absence during the semester is allowed. Attendance at lessons can be substituted by additional examples from the textbook "Kurfürst Petr, Computational Practice, 2017", published on the course pages, these examples will be individually assigned by the teacher. Additional examples must be submitted by the end of the examination period, but it is better to submit them continuously. The activity in the course is evaluated by crediting one point to the appropriate student for correct and complete solution of one of the given examples. The semestral stuff is divided into three sub-exams, which will be written during the semester, typically in the 5th, 9th and last week. A maximum of 10 points can be earned for each exam. Students who earn less than 15 points during the semester will write the fourth test of the whole semester. There is a time limit of 60 - 90 minutes per test. At their own discretion, previously successful students can also improve their grading by oral examination. Students in the combined form also write 3 sub-exams or they can write one summary exam in the exam period. The final grading is determined from the total number of points earned during the semester. All details regarding the method of grading and more are given on the course pages on my website.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~petrk/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.

F2423 Computing practice 2

Faculty of Science
Spring 2019
Extent and Intensity
0/3. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Ing. arch. Petr Kurfürst, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable of Seminar Groups
F2423/01: Mon 18. 2. to Fri 17. 5. Fri 12:00–14:50 F1 6/1014
Prerequisites
Mastering of mathematics on the level of the course Computing practice 1.
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
Course objectives
Obtain routine numerical skills necessary for bachelor course of physics and applied physics.
Learning outcomes
Student will be able after completing the course:
- to solve surface integrals of 1st and 2nd type and volume integrals and to apply them to physical and geometrical situations in Cartesian, cylindrical and spherical coordinates;
- to solve the above integrals using integral theorems - Green, Stokes and Gauss;
- to master the principles of expansion of the functions of one or more variables in Taylor and Fourier series, and to use these expansions to solve physical problems;
- to understand the basics of calculating complex numbers and functions of complex variable;
- to understand the basics of tensor algebra.
Syllabus
  • 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, center of mass, moment of inertia of a surface).
  • 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, center of mass, moment of inertia of a body).
  • 3. Surfaces in three-dimensional Euclidean space: parameterizations, 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 (flux of a vector field).
  • 6. Practical calculations of surface integrals.
  • 7. Integral theorems.
  • 8. Physical applications of multidimensional integrals and integral theorems: differential and integral forms of Maxwell equations.
  • 9. Applications of integral theorems in fluid mechanics.
  • 10. Expansion of functions to series: Taylor series, physical applications (estimations).
  • 11. Expansion of functions to series: Fourier series, applications (Fourier analysis of a signal).
  • 12. Fundamentals of tensor algebra.
Literature
    recommended literature
  • KURFÜRST, Petr. Početní praktikum. 2. vyd. Brno: Masarykova univerzita, 2017. Elportál. ISBN 978-80-210-8686-9. html PURL url info
  • KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
  • ARFKEN, George B. and Hans-Jurgen WEBER. Mathematical methods for physicists. 6th ed. Amsterdam: Elsevier, 2005, xii, 1182. ISBN 0120598760. info
Teaching methods
Seminar based on the solution of typical problems.
Assessment methods
Based on 'Studijní a zkušební řád Masarykovy univerzity', chapter 9, section 2, the attendance on schooling is required for students of full-time form of study, there is only one unexcused absence tolerated during the semester. The absences can be compensated by elaboration of additional exercise from the set of examples in the textbook "Kurfürst Petr, Početní praktikum, 2017", published on the website of the course, selected individually by the teacher. Deadline for any additional homework is 30.6.2018, however, it is better to hand them over continually. Students also gain points for individual activity, each exercise activity is evaluated with one point for correct and complete solution of any of pre-assigned example. Subject stuff is divided into three particular credit tests, which are written during the semester, typically in the 5th, 9th and the last week. For each credit test student can obtain a maximum of 10 points. Student write fourth credit test from whole semester, if achieve less then 15 points. Time limit for each test is 60 - 90 minutes. The course is completed by oral examination. Students of combined form also write three particular tests or they can write one summary test during the exam period. Final grade will be determined from sum of all points gained by each student during the semester as well as from knowledges proven at the oral exam. All the detailed informations about the method of final classification, and others, are published on the website of the course on my website.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~petrk/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.

F2423 Computing practice 2

Faculty of Science
spring 2018
Extent and Intensity
0/3. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Ing. arch. Petr Kurfürst, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable of Seminar Groups
F2423/01: Thu 17:00–19:50 F4,03017
Prerequisites
Mastering of mathematics on the level of the course Computing practice 1.
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
Course objectives
Obtain routine numerical skills necessary for bachelor course of physics and applied physics.
Learning outcomes
Student will be able after completing the course:
- to solve surface integrals of 1st and 2nd type and volume integrals and to apply them to physical and geometrical situations in Cartesian, cylindrical and spherical coordinates;
- to solve the above integrals using integral theorems - Green, Stokes and Gauss;
- to master the principles of expansion of the functions of one or more variables in Taylor and Fourier series, and to use these expansions to solve physical problems;
- to understand the basics of calculating complex numbers and functions of complex variable;
- to understand the basics of tensor algebra.
Syllabus
  • 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, center of mass, moment of inertia of a surface).
  • 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, center of mass, moment of inertia of a body).
  • 3. Surfaces in three-dimensional Euclidean space: parameterizations, 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 (flux of a vector field).
  • 6. Practical calculations of surface integrals.
  • 7. Integral theorems.
  • 8. Physical applications of multidimensional integrals and integral theorems: differential and integral forms of Maxwell equations.
  • 9. Applications of integral theorems in fluid mechanics.
  • 10. Expansion of functions to series: Taylor series, physical applications (estimations).
  • 11. Expansion of functions to series: Fourier series, applications (Fourier analysis of a signal).
  • 12. Fundamentals of tensor algebra.
Literature
    recommended literature
  • KURFÜRST, Petr. Početní praktikum. 2. vyd. Brno: Masarykova univerzita, 2017. Elportál. ISBN 978-80-210-8686-9. html PURL url info
  • KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
  • ARFKEN, George B. and Hans-Jurgen WEBER. Mathematical methods for physicists. 6th ed. Amsterdam: Elsevier, 2005, xii, 1182. ISBN 0120598760. info
Teaching methods
Seminar based on the solution of typical problems.
Assessment methods
Based on 'Studijní a zkušební řád Masarykovy univerzity', chapter 9, section 2, the attendance on schooling is required for students of full-time form of study, there is only one unexcused absence tolerated during the semester. The absences can be compensated by elaboration of additional exercise from the set of examples in the textbook "Kurfürst Petr, Početní praktikum, 2017", published on the website of the course, selected individually by the teacher. Deadline for any additional homework is 30.6.2018, however, it is better to hand them over continually. Students also gain points for individual activity, each exercise activity is evaluated with one point for correct and complete solution of any of pre-assigned example. Subject stuff is divided into three particular credit tests, which are written during the semester, typically in the 5th, 9th and the last week. For each credit test student can obtain a maximum of 10 points. Student write fourth credit test from whole semester, if achieve less then 15 points. Time limit for each test is 60 - 90 minutes. The course may be completed also by oral examination. Students of combined form also write three particular tests or they can write one summary test during the exam period. Final grade will be determined from sum of all points gained by each student during the semester and eventually from knowledges proven at the oral exam. All the detailed informations about the method of final classification, and others, are also published on the website of the course on my website.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~petrk/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.

F2423 Computing practice 2

Faculty of Science
Spring 2017
Extent and Intensity
0/3. 3 credit(s). Type of Completion: graded credit.
Teacher(s)
Mgr. Ing. arch. Petr Kurfürst, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable of Seminar Groups
F2423/01: Mon 20. 2. to Mon 22. 5. Tue 17:00–19:50 F3,03015
F2423/02: Mon 20. 2. to Mon 22. 5. Mon 17:00–19:50 F3,03015
Prerequisites
Mastering of mathematics on the level of the course Computing practice 1.
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
Course objectives
Obtain routine numerical skills necessary for bachelor course of general physics and basic biophysics.
Syllabus
  • 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, center of mass, moment of inertia of a surface).
  • 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, center of mass, moment of inertia of a body).
  • 3. Surfaces in three-dimensional Euclidean space: parameterizations, 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 (flux of a vector field).
  • 6. Practical calculations of surface integrals.
  • 7. Integral theorems.
  • 8. Physical applications of multidimensional integrals and integral theorems: differential and integral forms of Maxwell equations.
  • 9. Applications of integral theorems in fluid mechanics.
  • 10. Expansion of functions to series: Taylor series, physical applications (estimations).
  • 11. Expansion of functions to series: Fourier series, applications (Fourier analysis of a signal).
  • 12. Fundamentals of tensor algebra.
Literature
    recommended literature
  • KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
  • ARFKEN, George B. and Hans-Jurgen WEBER. Mathematical methods for physicists. 6th ed. Amsterdam: Elsevier, 2005, xii, 1182. ISBN 0120598760. info
  • KURFÜRST, Petr. Početní praktikum. 2. vyd. Brno: Masarykova univerzita, 2017. Elportál. ISBN 978-80-210-8686-9. html PURL url info
Teaching methods
Seminar based on the solution of typical problems.
Assessment methods
Based on 'Studijní a zkušební řád Masarykovy univerzity', chapter 9, section 2 the attendance on schooling is required. The absence can be compensated by elaboration of additional exercise from the set of examples in the textbook "Kurfürst Petr, Početní praktikum, 2015", published on the website of the course, selected individually by the teacher. Deadline for additional homeworks is 30.6.2017, however, better is to hand them over continually. Students harvest points for lecture activity. Each lecture activity is evaluated with one point for correct and complete solution of any of pre-assigned example. Subject matter is divided into three particular tests, which are written during the semester. For each test student can obtain a maximum of 10 points. Student write fourth test from whole semester, if achieve less then 15 points. Time limit for each test is 60 minutes. Students of combined form also write three particular tests. Final grade will be determinated from sum of all points gained by each student during the semester, the methodic of grading is published on course website.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~petrk/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.

F2423 Computing practice 2

Faculty of Science
Spring 2016
Extent and Intensity
0/3. 3 credit(s). Type of Completion: graded credit.
Teacher(s)
Mgr. Ing. arch. Petr Kurfürst, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable of Seminar Groups
F2423/01: Mon 17:00–19:50 F3,03015
F2423/02: Thu 17:00–19:50 F3,03015
Prerequisites
Mastering of mathematics on the level of the course Computing practice 1.
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
Course objectives
Obtain routine numerical skills necessary for bachelor course of general physics and basic biophysics.
Syllabus
  • 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, center of mass, moment of inertia of a surface).
  • 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, center of mass, moment of inertia of a body).
  • 3. Surfaces in three-dimensional Euclidean space: parameterizations, 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 (flux of a vector field).
  • 6. Practical calculations of surface integrals.
  • 7. Integral theorems.
  • 8. Physical applications of multidimensional integrals and integral theorems: differential and integral forms of Maxwell equations.
  • 9. Applications of integral theorems in fluid mechanics.
  • 10. Expansion of functions to series: Taylor series, physical applications (estimations).
  • 11. Expansion of functions to series: Fourier series, applications (Fourier analysis of a signal).
  • 12. Fundamentals of tensor algebra.
Literature
    recommended literature
  • KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
  • ARFKEN, George B. and Hans-Jurgen WEBER. Mathematical methods for physicists. 6th ed. Amsterdam: Elsevier, 2005, xii, 1182. ISBN 0120598760. info
Teaching methods
Seminar based on the solution of typical problems.
Assessment methods
Based on 'Studijní a zkušební řád Masarykovy univerzity', chapter 9, section 2 the attendance on schooling is required. The absence can be compensated by elaboration of additional exercise from the set of examples in the textbook "Kurfürst Petr, Početní praktikum, 2015", published on the website of the course, selected individually by the teacher. Deadline for additional homeworks is 1.7.2016, however, better is to hand them over continually. Students harvest points for lecture activity. Each lecture activity is evaluated with one point for correct and complete solution of any of pre-assigned example. Subject matter is divided into three particular tests, which are written during the semester. For each test student can obtain a maximum of 10 points. Student write fourth test from whole semester, if achieve less then 15 points. Time limit for each test is 60 minutes. Students of combined form also write three particular tests. Final grade will be determinated from sum of all points gained by each student during the semester, the methodic of grading is published on course website.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~petrk/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.

F2423 Computing practice 2

Faculty of Science
Spring 2015
Extent and Intensity
0/3. 3 credit(s). Type of Completion: graded credit.
Teacher(s)
Mgr. Ing. arch. Petr Kurfürst, 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. Ing. arch. Petr Kurfürst, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable of Seminar Groups
F2423/01: Wed 17:00–19:50 F3,03015
F2423/02: Tue 17:00–19:50 F3,03015
Prerequisites
The mastering of mathematics on the level of the course Computing practice 1.
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
Course objectives
Routine numerical skills necessary for bachelor course of general physics and basic biophysics.
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 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
  • ARFKEN, George B. and Hans-Jurgen WEBER. Mathematical methods for physicists. 6th ed. Amsterdam: Elsevier, 2005, xii, 1182. ISBN 0120598760. info
  • KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 1. Praha: Academia, 1989, 383 s. ISBN 8020000887. info
Teaching methods
Seminar based on the solution of the typical problems.
Assessment methods
Based on 'Studijní a zkušební řád Masarykovy univerzity', chapter 9, section 2 the attendance on schooling is required. The absence can be compensated by additional homework. Correct solution of each additional homework can be achieved in two attempts. Deadline for additional homeworks is 3.7.2015. Students harvest points for lecture activity. Each lecture activity is evaluated with one point for correct and complete solution of any of pre-assigned example. Subject matter is divided into three particular tests, which are written during the semester. For each test the student can obtain a maximum of 10 points. Student write fourth test from whole semester, if achieve less then 15 points. Time limit for each test is 60 minutes. Students of combined form also write three particular tests. Final grade will be determinated from unweighted mean of all tests supplemented by points obtained for activity.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~petrk/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.

F2423 Computing practice 2

Faculty of Science
Spring 2014
Extent and Intensity
0/3. 3 credit(s). Type of Completion: graded credit.
Teacher(s)
Mgr. Marek Chrastina, 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. Marek Chrastina, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable of Seminar Groups
F2423/01: Wed 13:00–15:50 F1 6/1014
F2423/02: Tue 10:00–12:50 F1 6/1014
Prerequisites
It is recommended to master basic operations of differential and integral calculus on the secondary school level.
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
Course objectives
Routine numerical skills necessary for bachelor course of general physics and basic biophysics.
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 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. 1. Praha: Academia, 1989, 383 s. ISBN 8020000887. info
Teaching methods
Seminar based on the solution of the typical problems.
Assessment methods
Based on 'Studijní a zkušební řád Masarykovy univerzity', chapter 9, section 2 the attendance on schooling is required. The absence can be compensated by compensatory homework. Correct solution of each compensatory homework can be achieved in two attempts. Deadline for compensatory homework is 25.6.2012. Students harvest points for lecture activity. Each lecture activity has value of one point. At the end of semester, paramater P is calculated as the maximum of number one and numbers of points, which were harvested by individual student during whole semester. Subject matter is divided into three particular tests, which are written during the semester. Student write fourth test from whole semester, if achieve less then P/2 points. Time limit for each test is 60 minutes. Students of combined form write three particular tests. Final grade will be determinated from unweighted mean of all tests.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~chm/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.

F2423 Computing practice 2

Faculty of Science
Spring 2013
Extent and Intensity
0/3. 3 credit(s). Type of Completion: graded credit.
Teacher(s)
Mgr. Marek Chrastina, 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. Marek Chrastina, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable of Seminar Groups
F2423/01: Tue 7:00–9:50 F4,03017
F2423/02: Wed 16:00–18:50 F4,03017
Prerequisites
It is recommended to master basic operations of differential and integral calculus on the secondary school level.
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
Course objectives
Routine numerical skills necessary for bachelor course of general physics and basic biophysics.
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. 1. Praha: Academia, 1989, 383 s. ISBN 8020000887. info
Teaching methods
Seminar based on the solution of the typical problems.
Assessment methods
Based on 'Studijní a zkušební řád Masarykovy univerzity', chapter 9, section 2 the attendance on schooling is required. The absence can be compensated by compensatory homework. Correct solution of each compensatory homework can be achieved in two attempts. Deadline for compensatory homework is 24.6.2012. Students harvest points for lecture activity. Each lecture activity has value of one point. At the end of semester, paramater P is calculated as the maximum of number one and numbers of points, which were harvested by individual student during whole semester. Subject matter is divided into three particular tests, which are written during the semester. Student write fourth test from whole semester, if achieve less then P/2 points. Time limit for each test is 60 minutes. Students of combined form write three particular tests. Final grade will be determinated from unweighted mean of all tests.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~chm/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.

F2423 Computing practice 2

Faculty of Science
Spring 2012
Extent and Intensity
0/3. 3 credit(s). Type of Completion: graded credit.
Teacher(s)
Mgr. Marek Chrastina, 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. Marek Chrastina, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable of Seminar Groups
F2423/01: Thu 13:00–15:50 F4,03017
F2423/02: Tue 15:00–17:50 F3,03015
Prerequisites
It is recommended to master basic operations of differential and integral calculus on the secondary school level.
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
Course objectives
Routine numerical skills necessary for bachelor course of general physics and basic biophysics.
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. 1. Praha: Academia, 1989, 383 s. ISBN 8020000887. info
Teaching methods
Seminar based on the solution of the typical problems.
Assessment methods
Based on 'Studijní a zkušební řád Masarykovy univerzity', chapter 9, section 2 the attendance on schooling is required. The absence can be compensated by compensatory homework. Correct solution of each compensatory homework can be achieved in two attempts. Deadline for compensatory homework is 25.6.2012. Students harvest points for lecture activity. Each lecture activity has value of one point. At the end of semester, paramater P is calculated as the maximum of number one and numbers of points, which were harvested by individual student during whole semester. Subject matter is divided into three particular tests, which are written during the semester. Student write fourth test from whole semester, if achieve less then P/2 points. Time limit for each test is 60 minutes. Students of combined form write three particular tests. Final grade will be determinated from unweighted mean of all tests.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~chm/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.

F2423 Computing practice 2

Faculty of Science
Spring 2011
Extent and Intensity
0/3. 3 credit(s). Type of Completion: graded credit.
Teacher(s)
Mgr. Marek Chrastina, 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. Marek Chrastina, Ph.D.
Timetable
Wed 8:00–10:50 F3,03015
Prerequisites
It is recommended to master basic operations of differential and integral calculus on the secondary school level.
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
Course objectives
Routine numerical skills necessary for bachelor course of general physics and basic biophysics.
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. 1. Praha: Academia, 1989, 383 s. ISBN 8020000887. info
Teaching methods
Seminar based on the solution of the typical problems.
Assessment methods
Final grade will be determinated from the sum of marks achieved from 3 particular written tests. 5 marks can be achieved in each particular test. Based on 'Studijní a zkušební řád Masarykovy univerzity', chapter 9, section 2 the attendance on schooling is required. The absence can be compensated by compensatory homework. Deadline for compensatory homework is 27.6.2011.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~chm/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.

F2423 Computing practice 2

Faculty of Science
spring 2012 - acreditation

The information about the term spring 2012 - acreditation is not made public

Extent and Intensity
0/3. 3 credit(s). Type of Completion: graded credit.
Teacher(s)
Mgr. Marek Chrastina, 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. Marek Chrastina, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Prerequisites
It is recommended to master basic operations of differential and integral calculus on the secondary school level.
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
Course objectives
Routine numerical skills necessary for bachelor course of general physics and basic biophysics.
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. 1. Praha: Academia, 1989, 383 s. ISBN 8020000887. info
Teaching methods
Seminar based on the solution of the typical problems.
Assessment methods
Final grade will be determinated from the sum of marks achieved from 3 particular written tests. 5 marks can be achieved in each particular test. Based on 'Studijní a zkušební řád Masarykovy univerzity', chapter 9, section 2 the attendance on schooling is required. The absence can be compensated by compensatory homework. Deadline for compensatory homework is 27.6.2011
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught: every week.
Teacher's information
http://physics.muni.cz/~chm/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.

F2423 Computing practice 2

Faculty of Science
Spring 2011 - only for the accreditation
Extent and Intensity
0/3. 3 credit(s). Type of Completion: graded credit.
Teacher(s)
Mgr. Marek Chrastina, 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. Marek Chrastina, 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
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.