Abstract:

This course contains review on algebraic operations,

solution of inequalities, solution of equations with parameters,

investigation of linear and quadratic equations. Definition of

the exponential func tion and the logarithm and their properties.

In addition, mathematical induction is studied and complex numbers,

elementary introduction in geometry and trigonometric identities.

The course also includes elementary concepts in

Abstract:

This course contains review on algebraic operations,

solution of inequalities, solution of equations with parameters,

investigation of linear and quadratic equations.

Definition of the exponential func tion and the logarithm

and their properties. In addition, mathematical induction is

studied and complex numbers, elementary introduction in geometry

and trigonometric identities.

The course also includes elementary concepts in differential

Abstract:

The first part of the course is dedicated to study of techniques for

solving systems of linear equations. Several basic methods are presented:

Gauss elimination, matrix solution, Cramer rule.

The last two methods involve matrix arithmetic,

which is also presented in this part. The second part discusses vector spaces and linear transformations. Most attention is given

to the matrix approach. Matrix diagonalization issues summarize this part.

Abstract:

Interpolation and approximations methods, error analysis.

Numerical integration, differentiation.

Ordinary differential equations solution, Solutions to non-linear equations.