ZAM Grounding in mathematics

Institute of Technology and Business in České Budějovice
summer 2021
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
Ing. Květa Papoušková (seminar tutor)
Guaranteed by
doc. RNDr. Zdeněk Dušek, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Timetable of Seminar Groups
ZAM/Q2: Sun 7. 3. 8:00–9:30 B4, 9:40–11:10 B4, Sun 28. 3. 8:00–9:30 B5, 9:40–11:10 B5, K. Papoušková
ZAM/S01: Tue 9:40–11:10 D515, K. Papoušková
Course Enrolment Limitations
The course is offered to students of any study field.
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.
Learning outcomes
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
Exercise
Consultation
Teaching Methods
Frontal Teaching
Group Teaching - Cooperation
Group Teaching - Collaboration
Teaching Supported by Multimedia Technologies
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
Test – final 70 %
activity during seminar 30 %
Exam conditions
Write one final test. Test contains 3 examples for 30, 20 and 20 points. For class activity can earn up to 30 points.

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points) Final Test: maximum 70% (0-70 points) Successful graduates of the course have to get totally at least 70 points.

Language of instruction
Czech
Follow-Up Courses
Teacher's information
Attendance at classes in all forms is governed by a separate internal standard of VŠTE (Records of student attendance at VŠTE). For full-time students, 70% attendance is required for contact classes, ie everything except lectures.
The course is also listed under the following terms Summer 2010, Winter 2010, summer 2011, winter 2011, summer 2012, winter 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, winter 2021, summer 2022, winter 2022, SUMMER 2023, summer 2024, winter 2024.
  • Enrolment Statistics (summer 2021, recent)
  • Permalink: https://is.vstecb.cz/course/vste/summer2021/ZAM