VŠTE:ZAM Grounding in mathematics

ZAM Grounding in mathematics

Institute of Technology and Business in České Budějovice
summer 2011

Extent and Intensity

0/2. 2 credit(s). Type of Completion: z (credit).

Guaranteed by

Course Enrolment Limitations

The course is offered to students of any study field.

Course objectives supported by learning outcomes

Supplementation of knowledge of mathematics at the level of required introductory mathematics courses.

Syllabus

Adjustment of algebraic expressions, working with compound fractions and exponential expressions. Using of basic algebraic relations for adjustments
Solving equations and inequalities, absolute value, solving irrational equations
Solving systems of linear equations
Solving quadratic equations
Solving exponential and logarithmic equations, logarithms work
Trigonometric functions and their properties, trigonometric equations
Angular linear function, inverse function
Polynomial functions and their properties, the root of the polynomial, and Horner's finding rational roots of polynomials
Graph representation of all basic functions and its modifications
The term limits of functions, simple applications
Derivative product and share functions and derivative of a composite function
Derivative function and its geometrical meaning, the tangent
The importance of derivative functions for determining their properties

Literature

required literature

PUCHÝŘOVÁ, J.: Sbírka příkladů z matematiky k příjímacím zkouškám na vysoké školy. Akademické nakladatelství CERM, 2005. ISBN 80-7204-375-7

recommended literature

PETÁKOVÁ, J. Matematika – příprava k maturitě a k přijímacím zkouškám na vysoké školy. Praha: Prometheus, 2006. ISBN 80-7196-099-3.
KAŇKA, M., COUFAL, J., KLŮFA, J.: Učebnice matematiky pro ekonomy. Praha: Ekopress, 2007. ISBN 978-80-86929-24-8

Forms of Teaching

Seminar

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Group Teaching - Collaboration

Student Workload

Activities	Number of Hours of Study Workload
Activities	Daily Study	Combined Study
Preparation for Seminars, Exercises, Tutorial	20
Preparation for the Final Test	6
Attendance on Seminars/Exercises/Tutorial/Excursion	26
Total:	52	0

Assessment Methods and Assesment Rate

Exam – oral 5 %
Test – final 95 %

Language of instruction

Czech

Further Comments

The course is taught: every week.

Teacher's information

http://is.vstecb.cz/publication/11741