



Basic course in Calculus for students in bachelor program. It provides mathematical skills necessary for other subjects (physics, physical chemistry,...) in bachelor program. Success in Mathematics I is a prerequisite for Mathematics II. Last update: Pokorný Pavel (01.08.2013)



General skills: 1. basic mathematical terms 2. knowledge and understanding of basic algorithms 3. individual problem solving 4. basic mathematical background for formulation and solving of natural and engineering problems 5. numerical algorithms (algebraic equations, integration). Last update: Pokorný Pavel (01.08.2013)



R: Porubský: Fundamental Mathematics for Engineers, Vol.I, VŠCHT, 2001, ISBN: 8070804181 Last update: Pokorný Pavel (01.08.2013)



1. Elements of Mathematical Logic. Introduction to calculus 2. Continuity and limits of the functions of one and two variables. 3. Derivatives, Mean value theorem, L’ Hospital’s rule. Partial derivatives. 4. Monotone functions, extreme values of a function, asymptotes of the graph. 5. Newton’s methods. Taylor’s formula with remainder. Differential. 6. Curves in plane, tangent vector. Polar coordinates. 7. Antiderivative. Definite integral. Geometric and physical applications. 8. Techniques of integration. 9. Improper integrals. Numerical integration. The mean value theorem for integrals. 10. Ordinary differential equations of the first order. Separable equations. Euler’s method. 11. Linear differential equations of the first and second order and their applications. Last update: Axmann Šimon (14.01.2020)



No requirements Last update: Pokorný Pavel (01.08.2013)
