Course: Mathematics for Physics Students 2

« Back
Course title Mathematics for Physics Students 2
Course code KMT/MPF2
Organizational form of instruction Lecture + Tutorial
Level of course Bachelor
Year of study 1
Semester Summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Hošková Prokšová Jitka, RNDr. Ph.D.
  • Remiš Tomáš, Mgr. Ph.D.
  • Rauner Karel, Doc. Dr. Ing.
  • Kohout Jiří, Doc. Mgr. Ph.D.
Course content
1. Introduction to the continuation of the subject, classification conditions 2. Use of integral calculus in physics 3. Vector analysis (operators - gradient, divergence, rotation) 4. Ordinary differential equations 5. Final summary and repetition

Learning activities and teaching methods
Lecture, Seminar
  • Contact hours - 26 hours per semester
  • Preparation for formative assessments (2-20) - 12 hours per semester
  • Preparation for an examination (30-60) - 30 hours per semester
prerequisite
Knowledge
Knowledge of high-school mathematics, understanding of introductory lessons in the FPV course. Managing of the MPF1 course subject matter.
Skills
knows parts of algebra, correctly calculates derivatives and integrals of functions
Competences
N/A
N/A
N/A
N/A
learning outcomes
Knowledge
The students are able to solve indefinite and definite integrals, apply elements of the integral calculus to physics, to classify differential equations and solve ordinary 1st order differential equations. They are able to solve 2nd order linear differential equations with constant coefficients and to apply them to oscillations problems. They are able to employ elements of the field theory and corresponding vector analysis operations.
Skills
the student can recognize and use indefinite and definite integrals in problems classify differential equations and solve ordinary differential equations of 1st order. Correctly uses elements of field theory and appropriate vector analysis operations
Competences
N/A
N/A
teaching methods
Knowledge
Lecture
Seminar
Skills
Seminar
Competences
Practicum
Lecture with visual aids
assessment methods
Knowledge
Oral exam
Test
Skills
Test
Skills demonstration during practicum
Competences
Skills demonstration during practicum
Recommended literature
  • Courant, R., Hilbert, D. Methods of mathematical physics. 1989.
  • Čihák, Pavel a kol. Příklady z matematiky pro fyziky. Praha. 2003.
  • Čihák, Pavel. Matematická analýza pro fyziky. Praha, 2003. ISBN 80-86732-12-6.
  • Kopáček, Jiří. Matematická analýza nejen pro fyziky I.. Praha, 2016. ISBN 978-80-7378-323-5.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Geography in Education (18) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Technology and Design in Education (19) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Geography in Education (16) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Geography in Education (17) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (18) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (18) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (19) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (19) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): German Language in Education (18) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Biology in Education (17) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Biology in Education (18) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Technology and Design in Education (17) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): English Language in Education (17) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Physics in Education (19) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Studies in Mathematics (19) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Studies in Mathematics (18) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (19) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Technology and Design in Education (16) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Studies in Mathematics (17) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (17) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): German Language in Education (17) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (18) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): English Language in Education (18) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (17) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (17) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Physics in Education (17) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Biology in Education (19) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Geography in Education (19) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Technology and Design in Education (18) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (16) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Biology in Education (16) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (16) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Physics in Education (16) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Summer