ID: 3828

6 credits

Prerequisites: none

This course will introduce to the elements of linear algebra and analytic geometry with examples from real life and various sciences. In selecting such problems for our examples and exercises we highlighted this motivation by references to applications in the social, business, and life sciences. The course was prepared with three related objectives: concreteness, motivation and applicability. The course is recommended for AMI and SFW students.

**MAT 131.1: Linear Algebra and Analytic Geometry for Economics and Business Administration Programs**

ID: 3827

6 credits

Prerequisites: none

This course is the introduction to the basics of linear algebra and analytic geometry models. These models describe real life problems related to economics and business. The course was prepared with three related objectives: concreteness, motivation and applicability. The course is recommended for ECO students.

**MAT 132: ****Mathematics for Business and Economics I**

ID: 2924** **

6 credits

Prerequisites: none

This course is the introduction to the basics of linear algebra and analytic geometry models. These models describe real life problems related to economics and business. The course was prepared with three related objectives: concreteness, motivation and applicability. The course is recommended for BA students.

**MAT 234: ****Mathematics for Business and Economics II**

6 credits

Prerequisites: MAT 132

This course will introduce to the basics of Mathematical Analysis, following topics will be presented. Functions, limit of the functions and basics of differential calculus and its applications. Derivative: First Derivative Test. Concavity: Second Derivative Test. Relative Maxima and Relative Minima. Optimization Problems. Functions of two variables. Local Extremum. Partial Derivatives. Conditional Extremum. Lagrange Multiplier method. Indefinite and definite integrals. Integration by substitution. Integration by Parts. Applications of a Definite Integral. The course is recommended for BA students.

**MAT 307: The Theory of Probabilities and Mathematical Statistics**

ID: 3215** **

6 credits

Prerequisites: MAT 131.1 or MAT 131.2 or MAT 132

This course will introduce the basic tools of theory of probability and statistics with applications to natural and social sciences, business. The course consists of the following topics: counting techniques; basic probability concepts and theorems; discrete and continuous probability distributions; statistical inference and sampling, the central limit theorem, confidence intervals for the mean of a normal population, hypothesis testing for the mean of a normal population. The course is recommended for BA, ECO, AMI and SFW students.

**MAT 233: Mathematical Analysis I **

6 credits

Prerequisites: MAT 131

This course will introduce to the basics of Mathematical Analysis, following topics will be presented. Functions: limit of the functions and basics of differential calculus and its applications. Derivative: first derivative test; concavity, second derivative test. Relative maxima and relative minima; optimization problems. Functions of two variables:local extremum, partial derivatives. Conditional extremum; Lagrange Multiplier method. Indefinite and definite integrals: integration by substitution, integration by parts. Applications of a definite integral. Basics of differential equations. The course is recommended for BA, ECO, AMI and SFW students.

**MAT 317: Mathematical Analysis II **

ID: 3365

6 credits

Prerequisites: MAT 227 or MAT 233

This course will focus on advanced sections of mathematical analysis. The course consists of the following topics: functions of several variables; differential calculus of functions of several variables; multiple integrals; infinite series with constant and variable terms. The course is recommended specially for SFW and AMI students.

**MAT 407: Numerical Methods for Equations of Mathematical Physics**

ID:3968

6 credits

Prerequisites: MAT 317; additionally, skills of programming on one of a high level programming language are necessary.

Course will focus on a base material of two classical sections of numerical mathematics: numerical methods of Algebra, Analysis and methods for solving of ordinary differential equations. Students will familiarize with following topics: characteristics of computer arithmetic, polynomial and spline interpolation, direct and iterative methods for solving linear and nonlinear systems of equations, numerical integration, and numerical methods for solving ordinary differential equations. The course is recommended specially for SFW and AMI students.