# Courses taught

Below is the list of courses taught by the Department of Mathematical Analysis and Probability Theory to students at the Faculty of Physics and Mathematics. The titles do not exhaust the whole curricula for mathematics, the other courses (like algebra, geometry etc.) are taught by other Departments.

## BACHELOR LEVEL

### Semester 1

- Calculus: Functions of a Single Argument
- Basics of Financial Mathematics
- Introduction to Probability Theory

### Semester 2

- Calculus: Functions of a Single Argument
- Discrete Mathematics

### Semester 3

- Calculus: Functions of Several Arguments
- Complex Analysis

### Semester 4

- Calculus: Functions of Several Arguments
- Complex Analysis

### Semester 5

- Theory of Probability
- Measure Theory and Lebesgue Integral

### Semester 6

- Function Analysis

### Semester 7

- Probabilistic Number Theory and Cryptography
- Mathematical Statistics and Stochastic Processes

### Semester 8

- Advanced Probability Theory

## MASTER LEVEL

### Semester 1

- Time Series Analysis
- Foundations of Scientific Researches
- Pedagogical Aspects of Education at University
- Stochastic Differential Equations and Their Applications
- Finance Mathematics of Stock Markets

### Semester 2

- Computer Statistics
- Markov Chains and Processes
- Monte Carlo Methods
- Methods of Mathematical Economics
- Applications of Regularly Varying Functions in Probability Theory

### Semester 3

- Linear Regression Analysis
- Randomized Algorithms
- Information and Communication Technology for Teaching Higher Mathematics
- Teaching Methdology of Higher Mathematics

## PhD LEVEL

### Semester 1

- Limit Theorems for Stochastic Processes

### Semester 2

- Generalized Renewal Processes