SubjectsSubjects(version: 953)
Course, academic year 2021/2022
Mathematics I - S413022
Title: Mathematics I
Guaranteed by: Department of Mathematics, Informatics and Cybernetics (446)
Faculty: Faculty of Chemical Engineering
Actual: from 2021 to 2021
Semester: both
Points: 10
E-Credits: 10
Examination process:
Hours per week, examination: 3/4, C+Ex [HT]
Capacity: winter:unknown / unknown (unknown)
summer:unknown / unknown (unknown)
Min. number of students: unlimited
State of the course: taught
Language: English
Teaching methods: full-time
Teaching methods: full-time
Is provided by: AB413001
Additional information: http://The course is lectured in winter semester exclusively
Note: you can enroll for the course in winter and in summer semester
Guarantor: Pokorný Pavel RNDr. Ph.D.
Is interchangeable with: AB413001
In complex pre-requisite: AB413003, B413003
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)
Aim of the course

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: 80-7080-418-1

Last update: Pokorný Pavel (01.08.2013)
Syllabus - Czech

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)
Registration requirements

No requirements

Last update: Pokorný Pavel (01.08.2013)