VŠTE:ZAM Grounding in mathematics - Course Information

ZAM Grounding in mathematics

Extent and Intensity

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

Teacher(s)

RNDr. Jaroslav Krieg (seminar tutor)

Guaranteed by

RNDr. Jaroslav Krieg
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

ZAM/S01: Tue 13:10–14:40 D415, J. Krieg

Prerequisites (in Czech)

FORMA ( P )

Course Enrolment Limitations

The course is offered to students of any study field.
The capacity limit for the course is 30 student(s).
Current registration and enrolment status: enrolled: 0/30, only registered: 0/30

Course objectives supported by learning outcomes

The aim of the course is the complemention of mathematical knowledge to the required level needed for MAT_1 course. After the successful completion of the course, the student is able to modify algebraic expressions, working with compound fractions and exponential expressions. The student will be able to solve equations and inequalities with absolute value, solve irrational equations, quadratic equations, systems of linear equations, exponential and logarithmic equations. The student can work with logarithms, he/she knows trigonometric functions and their properties, trigonometric equations, linear fractional functions, the inverse, polynomial functions and their properties. The student is able to depict graphs of all elementary functions and their modifications. The student also understands the concept of function limits, derivative, derivative product, share and compound function, geometric derivative, derivative importance for determining the properties of functions. Everything is at the level of the secondary school knowledge.

Syllabus

• 1. Algebraic expressions adjustment, work with coumpound fractions and exponential expressions. 2. Use of basic formulas for algebraic adjustments. 3. Solving of equations and inequalities, absolute value, solving of irrational equations. 4. Solving of quadratic equations. Solving systems of linear equations. 5. Solving of exponential and logarithmic equations, work with logarithms. 6. Trigonometric functions and their properties, trigonometric equations. 7. Linear fractional function, inverse. 8. Polynomial functions and their properties. 9. Depicting of graphs of all elementary functions and their modifications. 10. Function limits, simple applications. 11. Derivative product and share functions and derivatives of composite functions. 12. Derivative of a function and its geometric meaning, the tangent function. 13. The importance of derivative function for determining of its properties.

Literature

required literature
• PETÁKOVÁ, J. Matematika – příprava k maturitě a k přijímacím zkouškám na vysoké školy. Praha: Prometheus, 2006. ISBN 80-7196-099-3.

recommended literature
• KAŇKA, M., COUFAL, J., KLŮFA, J.: Učebnice matematiky pro ekonomy. Praha: Ekopress, 2007. ISBN 978-80-86929-24-8
• PUCHÝŘOVÁ, J.: Sbírka příkladů z matematiky k příjímacím zkouškám na vysoké školy. Akademické nakladatelství CERM, 2005. ISBN 80-7204-375-7

Forms of Teaching

Seminar

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Group Teaching - Collaboration

Student Workload

Activities	Number of Hours of Study Workload
	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

Follow-Up Courses

• MAT_1 Mathematics I

• Enrolment Statistics (summer 2012, recent)
  
• Permalink: https://is.vstecb.cz/course/vste/summer2012/ZAM