MAT_1 Mathematics I

Institute of Technology and Business in České Budějovice
summer 2011
Extent and Intensity
2/2. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Jaroslav Krieg (lecturer)
Mgr. František Šíma, Ph.D. (seminar tutor)
RNDr. Milan Vacka (seminar tutor)
Mgr. Radek Vejmelka (seminar tutor)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)
Ing. Petra Bednářová, Ph.D. (assistant)
Guaranteed by
doc. RNDr. Jaroslav Stuchlý, CSc.
Department of Civil Engineering – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Timetable of Seminar Groups
MAT_1/ccv: Sat 16. 4. 8:15–9:45 D616, 9:55–11:25 D616, 12:10–13:40 D616, 13:50–15:20 D616, 15:30–17:00 D616, Sun 17. 4. 8:15–9:45 D616, 9:55–11:25 D616, 12:10–13:40 D616
MAT_1/KOPAK: Sat 16. 4. 8:15–9:45 A1, 9:55–11:25 A1, 12:10–13:40 A1, 13:50–15:20 A1, 15:30–17:00 A1, Sun 17. 4. 8:15–9:45 A1, 9:55–11:25 A1, 12:10–12:55 A1, J. Krieg
MAT_1/K7: Sun 6. 3. 12:10–13:40 A4, Sat 19. 3. 13:50–15:20 B4, Sun 20. 3. 12:10–13:40 A4, Sun 17. 4. 8:15–9:45 B4, 9:55–11:25 B4, Sat 23. 4. 8:15–9:45 B4, 9:55–11:25 B4, Sat 14. 5. 9:55–11:25 B1, M. Vacka
MAT_1/K8: Sat 19. 3. 15:30–17:00 B1, 17:10–18:40 B1, Sat 2. 4. 12:10–13:40 B1, Sun 1. 5. 8:15–9:45 B4, 9:55–11:25 B4, Sat 14. 5. 8:15–9:45 B1, Sun 22. 5. 12:10–13:40 B1, 13:50–14:35 B1, M. Vacka
MAT_1/01: Tue 14:25–15:55 Bazilika, M. Vacka
MAT_1/02: Wed 9:55–11:25 D515, J. Krieg
MAT_1/03: Wed 12:10–13:40 D616, J. Krieg
MAT_1/04: Wed 8:15–9:45 D617, J. Krieg
MAT_1/05: Thu 12:10–13:40 D516, F. Šíma
MAT_1/06: Wed 13:50–15:20 D515, F. Šíma
MAT_1/07: Thu 17:10–18:40 D616, F. Šíma
MAT_1/08: Wed 9:55–11:25 D516, F. Šíma
MAT_1/09: Wed 8:15–9:45 D415, F. Šíma
MAT_1/10: Wed 9:55–11:25 D416, M. Vacka
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives supported by learning outcomes
The content of the course are basic concepts of analytic geometry, linear algebra and mathematical analysis (differential calculus of functions of one variable).
Syllabus
  • Analytic geometry (line, plane, position, and metric problems) Vector, vector space, linear combinations of vectors, linear dependence of vectors, basis and dimension of vector space Matrices, matrix operations, matrix rank, the inverse matrix Solving linear equations, Gauss´s elimination Determinants, Cramer's rule Real Functions of One Real Variable Algebraic functions and nonalgebraic functions, inverse function Continuity of function(bilateral and unilateral continuity, discontinuity points), Limits of function (intrinsic or limits, limit of their points in half-point, levels of double-sided) Derivative of functions, differentiation rules, derivative of composite functions and implicit tangent function graph L´Hospital´s rule.Asymptotes of the graph feature. Graph Sketching
Literature
    required literature
  • Kaňka, M., Coufal, J., Klůfa, J., Učebnice matematiky pro ekonomy, Praha, Ekopress, 2007, 198 stran, ISBN 978-80-86929-24-8
    recommended literature
  • Charvát, J., Kelar, V., Šibrava, Z., Matematika 1, Sbírka příkladů, Česká technika - nakladatelství ČVUT, 2005, 1. vydání, ISBN 80-01-03323-6
Forms of Teaching
Lecture
Seminar
Tutorial
Consultation
Teaching Methods
Frontal Teaching
Group Teaching - Cooperation
Group Teaching - Collaboration
Critical Thinking
Teaching Supported by Multimedia Technologies
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for Lectures26 
Preparation for Seminars, Exercises, Tutorial52115
Attendance on Lectures26 
Attendance on Seminars/Exercises/Tutorial/Excursion2615
Total:130130
Assessment Methods and Assesment Rate
Exam – oral 5 %
Exam – written 95 %
Language of instruction
Czech
Follow-Up Courses
Further Comments
The course is taught each semester.
Teacher's information
http://cantor.vstecb.cz/mediawiki/index.php/MATEMATIKA_1
The course is also listed under the following terms Summer 2007, Winter 2007, Summer 2008, Winter 2008, Summer 2009, Winter 2009, Summer 2010, Winter 2010, winter 2011, summer 2012, winter 2012, summer 2013, winter 2013, summer 2014, winter 2014, summer 2015, winter 2015, Summer 2016, winter 2016, summer 2017, winter 2017, summer 2018, winter 2018, summer 2019, winter 2019, winter 2020.
  • Enrolment Statistics (summer 2011, recent)
  • Permalink: https://is.vstecb.cz/course/vste/summer2011/MAT_1