310-2110/05 – Basics of Mathematics (ZM)
| Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 2 |
| Subject guarantor | Mgr. Monika Jahodová, Ph.D. | Subject version guarantor | RNDr. Jan Kotůlek, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Optional |
| Year | 1 | Semester | winter |
| | Study language | English |
| Year of introduction | 2021/2022 | Year of cancellation | |
| Intended for the faculties | FS | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
The set of real numbers, operations with algebraic expressions, equations and
inequalities, functions, exponential and logarithmic equations, trigonometric
functions and equations, analytic geometry, arithmetic and geometric sequences.
Teaching methods
Seminars
Tutorials
Other activities
Summary
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.
Compulsory literature:
Recommended literature:
http://education-portal.com/academy/course/precalculus-course.html
Additional study materials
Way of continuous check of knowledge in the course of semester
Credit is given to those students who reach at least 51 points (out of 100) in the final test.
E-learning
http://mdg.vsb.cz/portal/
Other requirements
Compulsory attendance or activity assigned by the teacher.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Numeracy. Computation wit rational and irrational numbers, intervals, operations on intervals (intersection, union, complement), absolute value of real numbers.
2-3. Polynomials and rational expressions, computation with powers and roots. Simplification of the expressions.
4-5. Linear and quadratic equations and inequalities.
6. Exponentiation with integer, whole and rational powers. Power and exponential functions.
7. Introduction to logarithms.
8. Trigonometry, sine, cosine and tangent functions as ratios between edges of a right triangle, definition by means of the unit circle. Oriented angles, their measures in degrees and radians.
9. Algebraic expressions containing elementary functions.
10. Sequences, their limits and sums. Arithmetic and geometric sequences.
11-12. Analytic geometry in a geometric plane: coordinates of a point and vector, line (equation and graph), metric properties in the plane.
13. The conic sections, their properties, and equations.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.