SubjectsSubjects(version: 901)
Course, academic year 2021/2022
Elementary Mathematics - Z413019
Title: Základy matematiky
Guaranteed by: Department of Mathematics (413)
Actual: from 2007
Semester: summer
Points: summer s.:5
E-Credits: summer s.:5
Examination process: summer s.:
Hours per week, examination: summer s.:2/2 C+Ex [hours/week]
Capacity: unknown / unknown (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
For type:  
Is interchangeable with: B413008, N413019
Examination dates   Schedule   
Annotation -
Last update: Šmídová Ludmila (20.01.2006)
The semestral course presents the basic of Mathematics for Bachelors Studies. The exam is only in written form.
Literature - Czech
Last update: Šmídová Ludmila (20.01.2006)

1. Klíč, Hapalová: Úvod do studia matematiky na VŠCHT

2. Klíč a kol.: Matematika I ve strukturovaném studiu

3. Petáková: Matematika - příprava k maturitě a k přijímacím zkouškám na vysoké školy

4. Heřmánek a kol.: Sbírka příkladů k Matematice I ve strukturovaném studiu

5. Porubský: Fundamental Mathematics for Engineers,Vol.I

Syllabus -
Last update: Šmídová Ludmila (20.01.2006)

1. The Real Number System, Polynomials, Absolute Value

2. Functions and Graphs, Polynomial and Rational Functions

3. Right-Angled Triangles, Pythagorean Theorem, Trigonometric Functions

4. Equations and Inequalities

5. Exponential, Logarithmic and Trigonometric Equations

6. Arithmetic and Geometric Sequences, Simple and Compound Interest

7. Analytical Geometry in Plane and Space

8. Basic Notions and Proofs of Mathematical Logic

9. Limits and Continuity of Functions

10. Derivatives, Applications, L´Hospitals rule,

11. Graphs of Functions

12. Antiderivative, Techniques of Integration, Definite Integral, Geometric Applications

13. System of Linear Algebraic Equations

14. Basics of Combinatorics, Pascals Triangle, Binomial Theorem