MAT_1 Mathematics I

Institute of Technology and Business in České Budějovice
Winter 2010
Extent and Intensity
2/2. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Jaroslav Krieg (lecturer)
Mgr. Petr Janáček (seminar tutor)
RNDr. Petr Šebelík, CSc. (seminar tutor)
RNDr. Milan Vacka (seminar tutor)
Mgr. Radek Vejmelka (seminar tutor)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)
Guaranteed by
RNDr. Jana Vysoká, Ph.D.
Department of Civil Engineering – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Timetable of Seminar Groups
MAT_1/K1: Mon 15. 11. 8:30–11:30 A4, Mon 29. 11. 8:30–11:30 A4, Mon 13. 12. 8:30–11:30 B4, Mon 3. 1. 8:30–11:30 A4, R. Vejmelka
MAT_1/K2: Mon 11. 10. 8:30–11:30 A4, Mon 25. 10. 8:30–11:30 A4, Mon 22. 11. 8:30–11:30 A4, Mon 20. 12. 8:30–11:30 A4, R. Vejmelka
MAT_1/K3: Sat 6. 11. 12:00–15:00 B1, Sun 7. 11. 12:45–16:30 Bazilika, Sun 5. 12. 8:30–11:30 B1, Sun 9. 1. 8:30–10:00 B1, R. Vejmelka
MAT_1/K4: Sun 7. 11. 12:45–16:30 Bazilika, Sun 21. 11. 12:00–15:00 A4, Sun 5. 12. 12:00–15:00 A4, Sun 19. 12. 12:00–15:00 A4, R. Vejmelka
MAT_1/K5: Sat 30. 10. 13:30–15:00 B1, Sun 7. 11. 12:45–13:30 Bazilika, 13:30–15:00 Bazilika, Sat 13. 11. 12:00–15:00 B1, Sat 27. 11. 8:30–11:30 B1, R. Vejmelka
MAT_1/K6: Sun 31. 10. 8:30–11:30 A4, Sun 7. 11. 12:45–16:30 Bazilika, Sat 13. 11. 8:30–11:30 A4, Sun 12. 12. 10:00–11:30 A4, R. Vejmelka
MAT_1/01: Mon 11:35–13:05 Bazilika, J. Krieg
MAT_1/02: Tue 11:10–12:40 Bazilika, J. Krieg
MAT_1/03: Thu 12:00–13:30 B3, R. Vejmelka
MAT_1/04: Wed 12:00–13:30 A3, R. Vejmelka
MAT_1/05: Tue 8:30–10:00 A2, P. Janáček
MAT_1/06: Tue 10:10–11:40 A2, P. Janáček
MAT_1/07: Wed 8:30–10:00 A6, R. Vejmelka
MAT_1/08: Wed 8:30–10:00 A5, J. Krieg
MAT_1/09: Wed 10:10–11:40 A5, J. Krieg
MAT_1/10: Wed 12:00–13:30 A5, J. Krieg
MAT_1/11: Wed 15:10–16:40 A5, J. Krieg
MAT_1/12: Wed 16:45–18:15 A5, J. Krieg
MAT_1/13: Thu 12:00–13:30 A4, J. Krieg
MAT_1/14: Thu 13:35–15:05 A4, J. Krieg
MAT_1/15: Thu 15:10–16:40 D416, J. Krieg
MAT_1/16: Thu 16:45–18:15 D416, J. Krieg
MAT_1/17: Mon 16:45–18:15 A3, M. Vacka
MAT_1/19: Tue 15:10–16:40 A2, M. Vacka
MAT_1/20: Wed 8:30–10:00 D616, J. Vysoká
MAT_1/21: Wed 10:10–11:40 A4, J. Vysoká
MAT_1/22: Thu 10:10–11:40 A1, J. Vysoká
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 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
  • Asymptotes of graphs
  • Graph Sketching
Literature
  • Charvát, J., Kelar, V., Šibrava, Z., Matematika 1, Sbírka příkladů, Česká technika - nakladatelství ČVUT, 2005, 1. vydání, ISBN 80-01-03323-6
  • Kaňka, M., Coufal, J., Klůfa, J., Učebnice matematiky pro ekonomy, Praha, Ekopress, 2007, 198 stran, ISBN 978-80-86929-24-8
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, summer 2011, 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 (Winter 2010, recent)
  • Permalink: https://is.vstecb.cz/course/vste/winter2010/MAT_1