310-2110/05 – Basics of Mathematics (ZM)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits2
Subject guarantorMgr. Monika Jahodová, Ph.D.Subject version guarantorMgr. Monika Jahodová, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year1Semesterwinter
Study languageEnglish
Year of introduction2021/2022Year of cancellation
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
JAH0037 Mgr. Monika Jahodová, Ph.D.
KOT31 RNDr. Jan Kotůlek, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+2
Part-time Credit 0+8

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:

[1] BIRD, J.: Engineering Mathematics, 4th ed. Newnes 2003. [2] https://www.khanacademy.org/math/ Harshbarger, R.J. - Teynolds, J.J.: Calculus with Applications. D.C. Heath and Company, Lexington 1990, ISBN 0-669-21145-1

Recommended literature:

http://education-portal.com/academy/course/precalculus-course.html

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. 14. Complex numbers.

Conditions for subject completion

Full-time form (validity from: 2021/2022 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit Credit   3
Mandatory attendence participation: Lessons are obligatory, 20% absence can be excused.

Show history

Conditions for subject completion and attendance at the exercises within ISP: Compulsory participation in tests, participation in exercises can be replaced by solving homework.

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2023/2024 (B0713A070003) Energetics and Environments P English Ostrava 1 Optional study plan
2023/2024 (B0715A270012) Engineering P English Ostrava 1 Optional study plan
2022/2023 (B0713A070003) Energetics and Environments P English Ostrava 1 Optional study plan
2022/2023 (B0715A270012) Engineering P English Ostrava 1 Optional study plan
2021/2022 (B0715A270012) Engineering P English Ostrava 1 Optional study plan
2021/2022 (B0713A070003) Energetics and Environments P English Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

Předmět neobsahuje žádné hodnocení.