714-0331/01 – Compendium of Mathematics (RzM)
Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 0 |
Subject guarantor | Mgr. Milena Luňáčková, Ph.D. | Subject version guarantor | Mgr. Milena Luňáčková, Ph.D. |
Study level | undergraduate or graduate | Requirement | Optional |
Year | 1 | Semester | summer |
| | Study language | Czech |
Year of introduction | 2002/2003 | Year of cancellation | 2013/2014 |
Intended for the faculties | FS | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
Mathematics is 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
analyze problems,
distinguish between important and unimportant,
suggest a method of solution,
verify each step of a method,
generalize achieved results,
analyze 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
Individual consultations
Tutorials
Other activities
Summary
Compendium of Mathematics is destined to students, who from any reason did not pass the exam from subject Mathematics I. Its content is in substantial agreement with synopses of this subject. The aim of Repetitorium is to enable the understanding of mathematics subject matter by solving concrete exercises. Repetitorium will be primarily focused on practical part of the exam; the exercises that correspond to the written part of the exam will be solved there.
Compulsory literature:
Recommended literature:
Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990
Way of continuous check of knowledge in the course of semester
E-learning
http://www.studopory.vsb.cz
http://mdg.vsb.cz
Other requirements
Other requirements are not.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1 The sets of real numbers, basic properties
2 Determinants (calculation, evaluation)
3 Matrix operations
4 Matrix inversion
5 Systems of linear equations, Cramer’s rule
6 Gaussian elimination
7 Functions of one real variable (definitions and basic properties)
8 Inverse functions
9 Derivatives of selected functions
10 Monotonic functions and extremes of function
11 Convexity and concavity of a function
12 Product of vectors (basic properties)
13 Analytical geometry in E3
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction