Course: Mathematics 2

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Course title Mathematics 2
Course code KMA/MT2
Organizational form of instruction Lecture + Seminar
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 6
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)
  • Fišer Jiří, RNDr. Ph.D.
  • Pastor Karel, doc. Mgr. Ph.D.
  • Pavlačka Ondřej, RNDr. Ph.D.
Course content
1. Fundamentals of integral calculus: Indefinite integral, the Riemann integral, application in determination of curve length, area, surface and volume of a solid of revolution. 2. Functions of two variables: Partial derivative, local extremes, differential. 3. Applications of differential and integral calculus in chemistry. 4. Fundamentals of numerical mathematics: Numerical solving of equations with one unknown variable - iterative method. Interpolation, least squares approximation method, differences, numerical differentiation and integration.

Learning activities and teaching methods
Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
  • Attendace - 52 hours per semester
  • Preparation for the Course Credit - 30 hours per semester
  • Preparation for the Exam - 70 hours per semester
  • Homework for Teaching - 30 hours per semester
Learning outcomes
Understand the principles ofintegral calculus and theory of differential equations.
Comprehension Understand basic principles ofintegral calculus and theory of differential equations.
Prerequisites
Differential calculus of functions of one variable.

Assessment methods and criteria
Oral exam, Written exam

Credit: Passing written tests (i.e. obtaining at least half of the possible points in each test). Exam: Written and oral.
Recommended literature
  • Bartch H. J. (1983). Matematické vzorce. SNTL, Praha.
  • Kolda S., Krajňáková D., Kimla A. (1990). Matematika pro chemiky II. SNTL Praha.
  • Kolda S., Krajňáková D., Kimla A. (1989). Matematika pro chemiky I. SNTL Praha.
  • Tebbut P. (1995). Basic Mathematics for Chemists. Chichester.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Science Chemistry (1) Chemistry courses 1 Summer