Lecturer(s)


Pastor Karel, doc. Mgr. Ph.D.

Pavlačka Ondřej, RNDr. Ph.D.

Fišer Jiří, RNDr. Ph.D.

Course content

1. Mathematical preliminaries: Numbers, algebraic expressions, algebraic equations and inequalities. 2. Linear algebra: Vectors, matrices, determinants, systems of linear equations (Frobenius Theorem and the Cramer's Rule). 3. Sequences, limits of sequences, infinite series. 4. Functions (real functions of a single real variable): The notion of functions, inverse functions, composition of functions. 5. Elementary functions: Exponential, logarithmic, trigonometric functions. 6. Limit and continuity of a function. 8. Fundamentals of differential calculus: Derivative and its geometrical and physical meanings, differential, properties of functions.

Learning activities and teaching methods

Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
 Attendace
 52 hours per semester
 Preparation for the Exam
 70 hours per semester
 Homework for Teaching
 60 hours per semester

Learning outcomes

Understand the basics of mathematical analysis, linear algebra and statistical analysis.
Comprehension Understand the basics of mathematical analysis, linear algebra and statistical analysis.

Prerequisites

Mathematics of secondary school.

Assessment methods and criteria

Written exam, Dialog
Colloquium: Passing two written tests (i.e. obtaining at least half of the possible points in each test) and a short discussion on the topic.

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.

Tebbutt P. (1995). Basic Mathematics for Chemists. John Wiley & Sons, Chichester.
