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Mathematics I NO1050
Course content:LINEAR ALGEBRA WITH ELEMENTS OF ANALYTIC GEOMETRY
Complex numbers.
Matrix calculus.
Determinant.
Singular matrix.
Inverse matrix.
Solving of linear systems of equations.
Eigenvalues and eigenvectors of a symmetric matrix.
Elements of analytic geometry.
MATHEMATICAL ANALYSIS
Sequences and series of numbers.
The analysis of functions of one variable: limit, continuity, differentiability, extrema, variability of functions.
Indefinite integrals, integration by part and by substitution.
Definite (Riemann) integrals.
Improper integrals.
Learning outcomes:- the ability of solving problems formulated in the form of algebraic description;
- the knowledge of operations on complex numbers, vectors and matrices
- the knowle;dge of differential and integral calculus of functions of one variable.
Course coordinators
Bibliography
a) basic references:
A course of higher mathematics : integral calculus, differential equations, vector analysis / A.A. Shestakov, I.M. Malysheva, and D.P. Polozkov, 1990;
Single-variable calculus / Robert A. Adams, 1983.
b) supplementary references:
Calculus I, II, III / Jerrold Marsden, Alan Weinstein, 1985.