Course: Mathematics 1

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Course title Mathematics 1
Course code KMA/MT1
Organizational form of instruction Lecture + Seminar
Level of course Bachelor
Year of study not specified
Semester Winter
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)
  • 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.


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 Winter