Syllabus
Integral calculus - antiderivative, indefinite integral, calculation methods, Newton's and Riemann's definite integral, basic theorem of integral calculus Newton - Leibniz formula.
Differential equation - existence, unicity of solution of differential equations, methods of solving (separation of variables, linear differential equations, variation of a constant), use of differetial equations.
Series - convergence criteria (comparative, integral, quotient, square root, Leibniz), absolute convergence, sums of series.
Sequences and series of functions - uniform convergence of sequences and series, Weierstrass criterion, power series, expansion of basic functions in power series, using for calculating limits.
Annotation
Basics of integral calculus, differential equations, infinite series and sequences, and series of functions.