BOMA0222p Mathematics II - lecture
Faculty of Medicinespring 2024
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
Taught in person. - Teacher(s)
- Mgr. Jakub Záthurecký, Ph.D. (lecturer)
doc. RNDr. Lenka Přibylová, Ph.D. (alternate examiner) - Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Lenka Herníková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Fri 23. 2. 12:00–13:40 M2,01021, Fri 1. 3. 12:00–13:40 M2,01021, Fri 8. 3. 12:00–13:40 M2,01021, Fri 15. 3. 12:00–13:40 M2,01021, Fri 22. 3. 12:00–13:40 M2,01021, Fri 5. 4. 12:00–13:40 M2,01021, Fri 12. 4. 12:00–13:40 M2,01021, Fri 19. 4. 12:00–13:40 M2,01021, Fri 26. 4. 12:00–13:40 M2,01021, Fri 3. 5. 12:00–13:40 M2,01021, Fri 10. 5. 12:00–13:40 M2,01021, Fri 17. 5. 12:00–13:40 M2,01021, Fri 24. 5. 12:00–13:40 M2,01021, Fri 31. 5. 12:00–13:40 M2,01021
- Prerequisites
- BOMA0121c Mathematics I-p
BOMA0121c - Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-OPOP)
- Optics and Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Learning outcomes
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
Information on the extent and intensity of the course: 30. - Listed among pre-requisites of other courses
- Teacher's information
- https://is.muni.cz/auth/el/med/jaro2022/BOMA0222p/index.qwarp
BOMA0222p Mathematics II - lecture
Faculty of Medicinespring 2023
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
Taught in person. - Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor), RNDr. Veronika Eclerová, Ph.D. (deputy)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Lenka Herníková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Mon 13. 2. 12:00–13:40 M6,01011, Mon 20. 2. 12:00–13:40 M6,01011, Mon 27. 2. 12:00–13:40 M6,01011, Mon 6. 3. 12:00–13:40 M6,01011, Mon 13. 3. 12:00–13:40 M6,01011, Mon 20. 3. 12:00–13:40 M6,01011, Mon 27. 3. 12:00–13:40 M6,01011, Mon 3. 4. 12:00–13:40 M6,01011, Mon 17. 4. 12:00–13:40 M6,01011, Mon 24. 4. 12:00–13:40 M6,01011, Mon 15. 5. 12:00–13:40 M6,01011, Mon 22. 5. 12:00–13:40 M6,01011
- Prerequisites
- BOMA0121c Mathematics I-p
BOMA0121c - Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-OPOP)
- Optics and Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Learning outcomes
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
Information on the extent and intensity of the course: 30. - Listed among pre-requisites of other courses
- Teacher's information
- https://is.muni.cz/auth/el/med/jaro2022/BOMA0222p/index.qwarp
BOMA0222p Mathematics II - lecture
Faculty of Medicinespring 2022
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
Taught in person. - Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor), RNDr. Veronika Eclerová, Ph.D. (deputy)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Lenka Herníková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Mon 14. 2. to Mon 23. 5. Mon 12:00–13:40 M2,01021
- Prerequisites
- BOMA0121c Mathematics I-p
BOMA0121c - Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-OPOP)
- Optics and Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Learning outcomes
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
Information on the extent and intensity of the course: 30. - Listed among pre-requisites of other courses
- Teacher's information
- https://is.muni.cz/auth/el/med/jaro2022/BOMA0222p/index.qwarp
BOMA0222p Mathematics II - lecture
Faculty of Medicinespring 2021
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
Taught online. - Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor), RNDr. Veronika Eclerová, Ph.D. (deputy)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Lenka Herníková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Mon 1. 3. 12:00–13:40 M2,01021, Mon 8. 3. 12:00–13:40 M2,01021, Mon 15. 3. 12:00–13:40 M2,01021, Mon 22. 3. 12:00–13:40 M2,01021, Mon 29. 3. 12:00–13:40 M2,01021, Mon 12. 4. 12:00–13:40 M2,01021, Mon 19. 4. 12:00–13:40 M2,01021, Mon 26. 4. 12:00–13:40 M2,01021, Mon 3. 5. 12:00–13:40 M2,01021, Mon 10. 5. 12:00–13:40 M2,01021, Mon 17. 5. 12:00–13:40 M2,01021, Mon 24. 5. 12:00–13:40 M2,01021, Mon 31. 5. 12:00–13:40 M2,01021, Mon 7. 6. 12:00–13:40 M2,01021
- Prerequisites
- BOMA0121c Mathematics I-p
BOMA0121c - Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-OPOP)
- Optics and Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Learning outcomes
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
Information on the extent and intensity of the course: 30. - Listed among pre-requisites of other courses
- Teacher's information
- https://is.muni.cz/auth/elearning/warp?kod=BOMA0222p;predmet=1014550;qurl=%2Fel%2F1411%2Fjaro2018%2FBOMA0222p%2Findex.qwarp;zpet=%2Fauth%2Fel%2F1411%2Fjaro2018%2FBOMA0222p%2Findex.qwarp%3Finfo;zpet_text=Zp%C4%9Bt%20do%20Spr%C3%A1vce%20soubor%C5%AF
BOMA0222p Mathematics II - lecture
Faculty of Medicinespring 2020
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor), RNDr. Veronika Eclerová, Ph.D. (deputy)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Lenka Herníková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Thu 12:00–13:40 M1,01017
- Prerequisites
- BOMA0121c Mathematics I-p
BOMA0121c - Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-OPOP)
- Optics and Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Learning outcomes
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
Information on the extent and intensity of the course: 30. - Listed among pre-requisites of other courses
- Teacher's information
- https://is.muni.cz/auth/elearning/warp?kod=BOMA0222p;predmet=1014550;qurl=%2Fel%2F1411%2Fjaro2018%2FBOMA0222p%2Findex.qwarp;zpet=%2Fauth%2Fel%2F1411%2Fjaro2018%2FBOMA0222p%2Findex.qwarp%3Finfo;zpet_text=Zp%C4%9Bt%20do%20Spr%C3%A1vce%20soubor%C5%AF
BOMA0222p Mathematics II - lecture
Faculty of Medicinespring 2019
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (lecturer), RNDr. Veronika Eclerová, Ph.D. (deputy)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Lenka Herníková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Fri 7:00–10:50 KOM S117
- Prerequisites
- BOMA0121c Mathematics I-p
BOMA0121c - Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Learning outcomes
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
Information on the extent and intensity of the course: 30. - Listed among pre-requisites of other courses
- Teacher's information
- https://is.muni.cz/auth/elearning/warp?kod=BOMA0222p;predmet=1014550;qurl=%2Fel%2F1411%2Fjaro2018%2FBOMA0222p%2Findex.qwarp;zpet=%2Fauth%2Fel%2F1411%2Fjaro2018%2FBOMA0222p%2Findex.qwarp%3Finfo;zpet_text=Zp%C4%9Bt%20do%20Spr%C3%A1vce%20soubor%C5%AF
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2018
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor), RNDr. Veronika Eclerová, Ph.D. (deputy)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Lenka Herníková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Fri 7:30–11:20 KOM S117
- Prerequisites
- BOMA0121c Mathematics I-p
BOMA0121c - Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Learning outcomes
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
Information on the extent and intensity of the course: 30. - Listed among pre-requisites of other courses
- Teacher's information
- https://is.muni.cz/auth/elearning/warp?kod=BOMA0222p;predmet=1014550;qurl=%2Fel%2F1411%2Fjaro2018%2FBOMA0222p%2Findex.qwarp;zpet=%2Fauth%2Fel%2F1411%2Fjaro2018%2FBOMA0222p%2Findex.qwarp%3Finfo;zpet_text=Zp%C4%9Bt%20do%20Spr%C3%A1vce%20soubor%C5%AF
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2017
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor), RNDr. Veronika Eclerová, Ph.D. (deputy)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Anna Petruželková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Fri 7:30–11:20 KOM S117
- Prerequisites
- BOMA0121c Mathematics I-p
BOMA0121c - Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Learning outcomes
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually. - Listed among pre-requisites of other courses
- Teacher's information
- https://is.muni.cz/auth/elearning/warp?kod=BOMA0222p;predmet=1014550;qurl=%2Fel%2F1411%2Fjaro2018%2FBOMA0222p%2Findex.qwarp;zpet=%2Fauth%2Fel%2F1411%2Fjaro2018%2FBOMA0222p%2Findex.qwarp%3Finfo;zpet_text=Zp%C4%9Bt%20do%20Spr%C3%A1vce%20soubor%C5%AF
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2016
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Anna Petruželková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Fri 8:30–12:20 KOM S117
- Prerequisites (in Czech)
- BOMA0121c Mathematics I-p
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually. - Listed among pre-requisites of other courses
- Teacher's information
- http://www.math.muni.cz/~pribylova/vyuka.html
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2015
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Anna Petruželková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Fri 7:30–11:20 KOM 257
- Prerequisites (in Czech)
- BOMA0121c Mathematics I-p
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually. - Listed among pre-requisites of other courses
- Teacher's information
- http://www.math.muni.cz/~pribylova/vyuka.html
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2014
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Anna Petruželková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Fri 7:30–11:20 KOM 257
- Prerequisites (in Czech)
- BOMA0121c Mathematics I-p && ZC011 Handling chemical substances
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually. - Listed among pre-requisites of other courses
- Teacher's information
- http://www.math.muni.cz/~pribylova/vyuka.html
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2013
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Anna Petruželková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Fri 7:30–11:20 KOM 257
- Prerequisites (in Czech)
- BOMA0121c Mathematics I-p && ZC011 Handling chemical substances
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually. - Listed among pre-requisites of other courses
- Teacher's information
- http://www.math.muni.cz/~pribylova/vyuka.html
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2012
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Anna Petruželková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Fri 7:30–11:20 KOM 257
- Prerequisites (in Czech)
- BOMA0121c Mathematics I-p && ZC011 Handling chemical substances
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually. - Listed among pre-requisites of other courses
- Teacher's information
- http://www.math.muni.cz/~pribylova/vyuka.html
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2011
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Anna Petruželková - Timetable
- Fri 7:30–11:20 KOM 257
- Prerequisites (in Czech)
- BOMA0121c Mathematics I-p && ZC011 Handling chemical substances
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually. - Listed among pre-requisites of other courses
- Teacher's information
- http://www.math.muni.cz/~pribylova/vyuka.html
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2010
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Anna Petruželková - Timetable
- Fri 7:30–11:20 KOM 257
- Prerequisites (in Czech)
- BOMA0121c Mathematics I-p && ZC011 Handling chemical substances
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optometry (programme LF, B-SZ) (2)
- Course objectives
- At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Teaching methods
- lectures
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually. - Listed among pre-requisites of other courses
- Teacher's information
- http://www.math.muni.cz/~pribylova/vyuka.html
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2009
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor)
- Guaranteed by
- doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Anna Petruželková - Timetable
- Fri 12:00–13:50 KOM 200
- Prerequisites (in Czech)
- BOMA0121c Mathematics I-p
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optometry (programme LF, B-SZ) (2)
- Course objectives
- The course provides an introduction to differential and integral calculus of functions of one real variable and introduces basics of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Assessment methods
- written and oral exam
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually. - Listed among pre-requisites of other courses
- Teacher's information
- http://www.math.muni.cz/~pribylova/vyuka.html
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2008
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Ivo Moll, CSc. (lecturer)
RNDr. Ivo Moll, CSc. (seminar tutor) - Guaranteed by
- RNDr. Ivo Moll, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Anna Petruželková - Timetable
- Wed 16:00–20:00 KOM 257
- Prerequisites (in Czech)
- BOMA0121c Mathematics I-p
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optometry (programme LF, B-SZ)
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
- Listed among pre-requisites of other courses
- Teacher's information
- http://www.math.muni.cz/~pribylova/vyuka.html
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2007
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Ivo Moll, CSc. (lecturer)
doc. RNDr. Lenka Přibylová, Ph.D. (lecturer)
RNDr. Ivo Moll, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Zdeněk Pospíšil, Dr.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Anna Petruželková - Timetable
- Mon 17:50–19:30 KOM 257
- Prerequisites (in Czech)
- BOMA0121c Mathematics I-p
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- Syllabus
- Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
- Literature
- PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
- http://www.math.muni.cz/~pribylova/prednaska.pdf
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
- SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually. - Listed among pre-requisites of other courses
- Teacher's information
- http://www.math.muni.cz/~pribylova/vyuka.html
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2006
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Zdeněk Pospíšil, Dr. (lecturer)
- Guaranteed by
- prof. RNDr. Zdeněk Pospíšil, Dr.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Anna Petruželková - Timetable
- Mon 20. 2. to Mon 22. 5. Tue 6:50–8:20 LF, Tue 8:30–10:00 LF
- Prerequisites (in Czech)
- BOMA0121c Mathematics I-p
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ)
- Syllabus
- Diferenciální počet funkcí jedné reálné proměnné. Elememtární funkce (včetně cyklometrických). Derivace a její geometrický a fyzikální význam. Extrémy, inflexní body. Diferenciál a jeho užití. l'Hospitalovo pravidlo. Průběh funkce. Funkce zadané parametricky. Taylorova věta. Integrální počet funkcí jedné reálné proměnné. Primitivní funkce, základní vzorce pro integrování. Metoda integrace per partes a substituce. Riemannův určitý integrál a jeho geometrické aplikace. Nevlastní integrál v neomezeném intervalu. Diferenciální počet funkcí dvou reálných proměnných. Základní pojmy, definiční obor, graf. Limita a spojitost. Parciální derivace. Tečná rovina plochy. Diferenciál. Lokální extrémy. Taylorův vzorec. Integrální počet funkcí více reálných proměnných. Dvojnásobný a dvojný integrál, Fubiniho věta, transformace do polárních souřadnic. Trojnásobný a trojný integrál, Fubiniho věta, transformace do cylindrických a sférických souřadnic. Geometrické aplikace dvojných a trojných integrálů.
- Literature
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
- Listed among pre-requisites of other courses
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2005
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Štěpán Mikoláš (lecturer)
- Guaranteed by
- RNDr. Štěpán Mikoláš
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Anna Petruželková - Prerequisites (in Czech)
- BOMA0121c Mathematics I-p
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ)
- Syllabus
- Diferenciální počet funkcí jedné reálné proměnné. Elememtární funkce (včetně cyklometrických). Derivace a její geometrický a fyzikální význam. Extrémy, inflexní body. Diferenciál a jeho užití. l'Hospitalovo pravidlo. Průběh funkce. Funkce zadané parametricky. Taylorova věta. Integrální počet funkcí jedné reálné proměnné. Primitivní funkce, základní vzorce pro integrování. Metoda integrace per partes a substituce. Riemannův určitý integrál a jeho geometrické aplikace. Nevlastní integrál v neomezeném intervalu. Diferenciální počet funkcí dvou reálných proměnných. Základní pojmy, definiční obor, graf. Limita a spojitost. Parciální derivace. Tečná rovina plochy. Diferenciál. Lokální extrémy. Taylorův vzorec. Integrální počet funkcí více reálných proměnných. Dvojnásobný a dvojný integrál, Fubiniho věta, transformace do polárních souřadnic. Trojnásobný a trojný integrál, Fubiniho věta, transformace do cylindrických a sférických souřadnic. Geometrické aplikace dvojných a trojných integrálů.
- Literature
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week. - Listed among pre-requisites of other courses
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2004
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Štěpán Mikoláš (lecturer)
- Guaranteed by
- RNDr. Štěpán Mikoláš
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Anna Petruželková - Prerequisites (in Czech)
- BOMA0121c Mathematics I-p
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ)
- Syllabus
- Diferenciální počet funkcí jedné reálné proměnné. Elememtární funkce (včetně cyklometrických). Derivace a její geometrický a fyzikální význam. Extrémy, inflexní body. Diferenciál a jeho užití. l'Hospitalovo pravidlo. Průběh funkce. Funkce zadané parametricky. Taylorova věta. Integrální počet funkcí jedné reálné proměnné. Primitivní funkce, základní vzorce pro integrování. Metoda integrace per partes a substituce. Riemannův určitý integrál a jeho geometrické aplikace. Nevlastní integrál v neomezeném intervalu. Diferenciální počet funkcí dvou reálných proměnných. Základní pojmy, definiční obor, graf. Limita a spojitost. Parciální derivace. Tečná rovina plochy. Diferenciál. Lokální extrémy. Taylorův vzorec. Integrální počet funkcí více reálných proměnných. Dvojnásobný a dvojný integrál, Fubiniho věta, transformace do polárních souřadnic. Trojnásobný a trojný integrál, Fubiniho věta, transformace do cylindrických a sférických souřadnic. Geometrické aplikace dvojných a trojných integrálů.
- Literature
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week. - Listed among pre-requisites of other courses
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2003
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Štěpán Mikoláš (lecturer)
- Guaranteed by
- RNDr. Štěpán Mikoláš
Department of Mathematics and Statistics – Departments – Faculty of Science - Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ)
- Syllabus
- Diferenciální počet funkcí jedné reálné proměnné. Elememtární funkce (včetně cyklometrických). Derivace a její geometrický a fyzikální význam. Extrémy, inflexní body. Diferenciál a jeho užití. l'Hospitalovo pravidlo. Průběh funkce. Funkce zadané parametricky. Taylorova věta. Integrální počet funkcí jedné reálné proměnné. Primitivní funkce, základní vzorce pro integrování. Metoda integrace per partes a substituce. Riemannův určitý integrál a jeho geometrické aplikace. Nevlastní integrál v neomezeném intervalu. Diferenciální počet funkcí dvou reálných proměnných. Základní pojmy, definiční obor, graf. Limita a spojitost. Parciální derivace. Tečná rovina plochy. Diferenciál. Lokální extrémy. Taylorův vzorec. Integrální počet funkcí více reálných proměnných. Dvojnásobný a dvojný integrál, Fubiniho věta, transformace do polárních souřadnic. Trojnásobný a trojný integrál, Fubiniho věta, transformace do cylindrických a sférických souřadnic. Geometrické aplikace dvojných a trojných integrálů.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week. - Listed among pre-requisites of other courses
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2002
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Štěpán Mikoláš (lecturer)
- Guaranteed by
- RNDr. Štěpán Mikoláš
Department of Mathematics and Statistics – Departments – Faculty of Science - Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ)
- Syllabus
- Diferenciální počet funkcí jedné reálné proměnné. Elememtární funkce (včetně cyklometrických). Derivace a její geometrický a fyzikální význam. Extrémy, inflexní body. Diferenciál a jeho užití. l'Hospitalovo pravidlo. Průběh funkce. Funkce zadané parametricky. Taylorova věta. Integrální počet funkcí jedné reálné proměnné. Primitivní funkce, základní vzorce pro integrování. Metoda integrace per partes a substituce. Riemannův určitý integrál a jeho geometrické aplikace. Nevlastní integrál v neomezeném intervalu. Diferenciální počet funkcí dvou reálných proměnných. Základní pojmy, definiční obor, graf. Limita a spojitost. Parciální derivace. Tečná rovina plochy. Diferenciál. Lokální extrémy. Taylorův vzorec. Integrální počet funkcí více reálných proměnných. Dvojnásobný a dvojný integrál, Fubiniho věta, transformace do polárních souřadnic. Trojnásobný a trojný integrál, Fubiniho věta, transformace do cylindrických a sférických souřadnic. Geometrické aplikace dvojných a trojných integrálů.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week. - Listed among pre-requisites of other courses
BOMA0222p Mathematics II - lecture
Faculty of MedicineSpring 2001
- Extent and Intensity
- 2/0/0. 0 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Štěpán Mikoláš (lecturer)
- Guaranteed by
- RNDr. Štěpán Mikoláš
Department of Mathematics and Statistics – Departments – Faculty of Science - Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ)
- Syllabus
- Diferenciální počet funkcí jedné reálné proměnné. Elememtární funkce (včetně cyklometrických). Derivace a její geometrický a fyzikální význam. Extrémy, inflexní body. Diferenciál a jeho užití. l'Hospitalovo pravidlo. Průběh funkce. Funkce zadané parametricky. Taylorova věta. Integrální počet funkcí jedné reálné proměnné. Primitivní funkce, základní vzorce pro integrování. Metoda integrace per partes a substituce. Riemannův určitý integrál a jeho geometrické aplikace. Nevlastní integrál v neomezeném intervalu. Diferenciální počet funkcí dvou reálných proměnných. Základní pojmy, definiční obor, graf. Limita a spojitost. Parciální derivace. Tečná rovina plochy. Diferenciál. Lokální extrémy. Taylorův vzorec. Integrální počet funkcí více reálných proměnných. Dvojnásobný a dvojný integrál, Fubiniho věta, transformace do polárních souřadnic. Trojnásobný a trojný integrál, Fubiniho věta, transformace do cylindrických a sférických souřadnic. Geometrické aplikace dvojných a trojných integrálů.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week. - Listed among pre-requisites of other courses
BOMA0222p mathematics
Faculty of MedicineSpring 2000
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Štěpán Mikoláš (lecturer)
- Guaranteed by
- RNDr. Štěpán Mikoláš
Department of Mathematics and Statistics – Departments – Faculty of Science - Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Optics and Optometry (programme LF, B-SZ)
- Syllabus
- Diferenciální počet funkcí jedné reálné proměnné. Elememtární funkce (včetně cyklometrických). Derivace a její geometrický a fyzikální význam. Extrémy, inflexní body. Diferenciál a jeho užití. l'Hospitalovo pravidlo. Průběh funkce. Funkce zadané parametricky. Taylorova věta. Integrální počet funkcí jedné reálné proměnné. Primitivní funkce, základní vzorce pro integrování. Metoda integrace per partes a substituce. Riemannův určitý integrál a jeho geometrické aplikace. Nevlastní integrál v neomezeném intervalu. Diferenciální počet funkcí dvou reálných proměnných. Základní pojmy, definiční obor, graf. Limita a spojitost. Parciální derivace. Tečná rovina plochy. Diferenciál. Lokální extrémy. Taylorův vzorec. Integrální počet funkcí více reálných proměnných. Dvojnásobný a dvojný integrál, Fubiniho věta, transformace do polárních souřadnic. Trojnásobný a trojný integrál, Fubiniho věta, transformace do cylindrických a sférických souřadnic. Geometrické aplikace dvojných a trojných integrálů.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week. - Listed among pre-requisites of other courses
- Enrolment Statistics (recent)