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.
