ZAM Grounding in mathematics

Institute of Technology and Business in České Budějovice
winter 2012
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: Thu 9:55–11:25 A6, J. Krieg
ZAM/S02: Wed 17:55–19:25 B4, 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 80 student(s).
Current registration and enrolment status: enrolled: 0/80, only registered: 0/80
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
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for Seminars, Exercises, Tutorial20 
Preparation for the Final Test6 
Attendance on Seminars/Exercises/Tutorial/Excursion26 
Total:520
Assessment Methods and Assesment Rate
Exam – oral 5 %
Test – final 95 %
Language of instruction
Czech
Follow-Up Courses
The course is also listed under the following terms Summer 2010, Winter 2010, summer 2011, winter 2011, summer 2012, summer 2013, winter 2013, summer 2014, winter 2014, summer 2015, winter 2015, Summer 2016, winter 2016, winter 2017, winter 2018, winter 2019, summer 2020, winter 2020, summer 2021, winter 2021, summer 2022, winter 2022, SUMMER 2023, summer 2024, winter 2024.
  • Enrolment Statistics (winter 2012, recent)
  • Permalink: https://is.vstecb.cz/course/vste/winter2012/ZAM