MATHEMATICS II - LECTURES
doc. RNDr. Daniela Velichová, CSc.
Lecture 1 - Power series - radius and interval of convergence
Expansions of functions to Taylor and McLaurin series
Lecture 2 - Ordinary differential equations - basic concepts
ODE with separated and separable variables
Lecture 3 - Ordinary linear differential equations - order 1
Ordinary differential equations of order 2 - homogeneous
Lecture 4 - Non-homogeneous ordinary differential equations of order 2 with special right-hand members
Lecture 5 - Non-homogeneous ordinary difrerential equations of order 2 - variation of constants
Summary of ordinary difrerential equations
Lecture 6 - Euclidean space En
Introduction to vector algebra
Lecture 7 - Linear figures in the Euclidean space
Quadric surfaces
Lecture 8 - Functions in more variables - definition, domain, graph, limit and continuity
Lecture 9 - Partial derivatives and differential of functions in two variables
Lecture 10 - Local extrema of functions in two variables
Constrained and global extrema of functions in two variables
Lecture 11 - Multiple integrals
Double and triple integrals
Lecture 12 - Integral transformations
Lecture 13 - Applications of multiple integrals