ZAM Grounding in mathematics

Institute of Technology and Business in České Budějovice
summer 2024
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
Ing. Květa Papoušková (seminar tutor)
Guaranteed by
Ing. Jiří Čejka, 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/PS4: Sat 13. 4. 13:05–14:35 B5, 14:50–16:20 B5, Sat 27. 4. 13:05–14:35 B5, 14:50–16:20 B5, K. Papoušková
Prerequisites (in Czech)
MAX_KOMBINOVANYCH ( 35 )
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, 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.
Syllabus
  • 1. Fractions, work with coumpound fractions
  • 2. Algebraic expressions adjustment, formulas for algebraic adjustments
  • 3. Solving equations, expressing formulas, equations with absolute value
  • 4. Quadratic equations, polynomials
  • 5. Exponential and logarithmic equations, definition of logarithm
  • 6. Goniometric equalities
  • 7. Complex numbers
  • 8. Graphs of elementary functions
  • 9. Graphs of advanced functions
  • 11. Transformations of graphs
  • 12. Inverse functions
  • 13. Applied problems
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
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, Tutorial1331
Preparation for the Final Test1313
Attendance on Seminars/Exercises/Tutorial/Excursion268
Total:5252
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 in lessons is defined in a separate internal standard of ITB (Evidence of attendance of students at ITB). It is compulsory, except of the lectures, for full-time students to attend 70 % lesson of the subjet in a semester.
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, summer 2021, winter 2021, summer 2022, winter 2022, SUMMER 2023.
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