Course details
Seminar of Mathematics
Guarantor
Language of instruction
Completion
Time span
- 26 hrs exercises
Department
Subject specific learning outcomes and competences
Improving or repeating knowledge of high school mathematics.
The ability of formal mathematical expression.
Learning objectives
The goal is to improve or to repeat knowledge of high school mathematics needed for further study. The course is suitable for students who obtained less than 500 points in admission test in mathematics.
Prerequisite knowledge and skills
There are no prerequisites
Syllabus of seminars
- Basic concepts of the set theory
- Propositional and predicate logic
- Methods of proof and mathematical induction
- Vectors and analytic geometry
- Systems of linear equations and matrices
- Polynomials
- Exponential functions and logarithm
- Elementary functions and the concept of a limit
- Equations and inequations
- Sequences and series
- Complex numbers
- Combinatorics
Syllabus of numerical exercises
- Basic concepts of the set theory
- Propositional and predicate logic
- Methods of proof and mathematical induction
- Vectors and analytic geometry
- Systems of linear equations and matrices
- Polynomials
- Exponential functions and logarithm
- Elementary functions and the concept of a limit
- Equations and inequations
- Sequences and series
- Complex numbers
- Combinatorics
Progress assessment
For the course-unit credit, it is necessary:
- To attend exercises (no absence without an excuse is allowed and at most three absences with accepted excuse are allowed).
- To obtain at least a 50% score from any of two control tests during the semester.
Controlled instruction
The presence is monitored. At most three absences can be excused.
Course inclusion in study plans