714-0236/01 – Repetition of Mathematics 1 (Repet 1)
| Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 1 |
| Subject guarantor | RNDr. Petr Volný, Ph.D. | Subject version guarantor | RNDr. Petr Volný, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Optional |
| Year | 1 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2013/2014 | Year of cancellation | 2019/2020 |
| Intended for the faculties | FAST | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
Goals and competence
Mathematics is an essential part of education on technical universities.
It should be considered rather the method in the study of technical
courses than a goal. Thus the goal of mathematics is train logical
reasoning than mere list of mathematical notions, algorithms and
methods.
Students should learn
how to analyse problems,
distinguish between important and unimportant,
suggest a method of solution,
verify each step of a method,
generalize achieved results,
analyse correctness of achieved results with respect to given conditions,
apply these methods while solving technical problems,
understand that mathematical methods and theoretical advancements outreach the field mathematics.
Teaching methods
Tutorials
Summary
Repetition of Mathematics 1 is intended for students who, for whatever reasons,
fail the exam of Mathematics I and are interested in passing this exam. Its content essentially coincides with the content of the course Mathematics I. The aim is to enable better understanding of mathematics by the solving of concrete examples and problems. Repetition will focus on the practical part of the exam and they will be solved examples matching the written part of the exam.
Compulsory literature:
Recommended literature:
Additional study materials
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
There are no additional requirements.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Syllabus of tutorial
1. Domain of a real function of one real variable.
2. Bounded function, monotonic functions, even, odd and periodic functions.
3. One-to-one functions, inverse and composite functions. Elementary functions.
4. Inverse trigonometric functions. Limit of functions.
5. Derivative and differential of functions.
6. l’Hospital rule. Monotonic functions, extrema of functions.
7. Concave up function, concave down function, inflection point.
8. Asymptotes. Course of a function.
9. Matrix operations.
10. Elementary row operations, rank of a matrix, inverse.
11. Determinants.
12. Solution of systems of linear equations. Gaussian elimination algorithm.
13. Analytic geometry.
14. Reserve.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction