BOMA0222p Mathematics II - lecture

Faculty of Medicine
spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, 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.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, 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 2024.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, spring 2019, spring 2020, spring 2021, spring 2023, spring 2024.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, spring 2019, spring 2020, spring 2022, spring 2023, spring 2024.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, spring 2019, spring 2021, spring 2022, spring 2023, spring 2024.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, spring 2020, spring 2021, spring 2022, spring 2023, spring 2024.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2019, spring 2020, spring 2021, spring 2022, spring 2023, spring 2024.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2018, spring 2019, spring 2020, spring 2021, spring 2022, spring 2023, spring 2024.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2017, Spring 2018, spring 2019, spring 2020, spring 2021, spring 2022, spring 2023, spring 2024.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2016, Spring 2017, Spring 2018, spring 2019, spring 2020, spring 2021, spring 2022, spring 2023, spring 2024.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2015, Spring 2016, Spring 2017, Spring 2018, spring 2019, spring 2020, spring 2021, spring 2022, spring 2023, spring 2024.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, spring 2019, spring 2020, spring 2021, spring 2022, spring 2023, spring 2024.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, spring 2019, spring 2020, spring 2021, spring 2022, spring 2023, spring 2024.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, 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.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, 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.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2010, 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.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2009, Spring 2010, 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.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2008, Spring 2009, Spring 2010, 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.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
  • Minorskij V.P.:Sbírka úloh z vyšší matematiky, SNTL Praha,1958
  • HRADILEK, Ludvík and Eduard STEHLÍK. Matematika pro geology. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1985, 338 s. info
  • KNICHAL, Vladimír. Matematika. Vyd. 1. Praha: Státní nakladatelství technické literatury, 1965, 541 s. info
Language of instruction
Czech
Further Comments
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2007, Spring 2008, Spring 2009, Spring 2010, 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.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
  • Minorskij V.P.:Sbírka úloh z vyšší matematiky, SNTL Praha,1958
  • HRADILEK, Ludvík and Eduard STEHLÍK. Matematika pro geology. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1985, 338 s. info
  • KNICHAL, Vladimír. Matematika. Vyd. 1. Praha: Státní nakladatelství technické literatury, 1965, 541 s. info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, 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.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
  • Minorskij V.P.:Sbírka úloh z vyšší matematiky, SNTL Praha,1958
  • HRADILEK, Ludvík and Eduard STEHLÍK. Matematika pro geology. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1985, 338 s. info
  • KNICHAL, Vladimír. Matematika. Vyd. 1. Praha: Státní nakladatelství technické literatury, 1965, 541 s. info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, 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.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, 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.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, 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.

BOMA0222p Mathematics II - lecture

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2000, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, 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.

BOMA0222p mathematics

Faculty of Medicine
Spring 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
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
The course is also listed under the following terms Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, 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.
  • Enrolment Statistics (recent)