MAT_3 Mathematics III

Institute of Technology and Business in České Budějovice
Winter 2010
Extent and Intensity
0/2. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jaroslav Stuchlý, CSc.
Department of Civil Engineering – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Prerequisites (in Czech)
MTT_1 Mathematics for technicians I || MTE Mathematics for economists || MA_ST_II Matematika SM II || MTT_2 Mathematics II (Civil engineering)
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives supported by learning outcomes
The goal is to add lots of mathematics content courses related to Mathematics I and Mathematics II. Emphasis will be placed on the application tasks. The subject is the solution of ordinary differential equations, as well as an introduction to integral calculus.
Syllabus
  • 1.Continuation of ordinary differential equation 1 Procedure type ^ y / = f (y / x). 2. Differential equation 1 Procedure type ^ y / f = (((a_1 x + b_1 y + c_1 ))/(( a_2 x + b_2 y + c_2))) 3. Differential equation 1 Procedure type ^ y / + a (x). y = b (x) 4. Introduction to differential equations of second Procedure type ^(//)= y f (y, s ^ /) and y ^(//)= f (xy ^ /) 5. Homogeneous linear differential equations with constant coefficients 6. Inhomogeneous linear differential equations with constant coefficients  , variation of constants 7. Double integral in the rectangular area 8. Double integral in general concluded 9. Substitution method for double integrals 10. Geometric and physical applications of double integrals 11. Definition of triple integrals 12. Substitution method for integrals 13. Geometric and physical applications of triple integrals
Literature
    required literature
  • NAVRÁTIL, M. Diferenciální a integrální počet funkcí dvou a více proměnných. Vydavatelství Mendelovy zemědělské a lesnické univerzity Brno, ISBN 978-8071579038.
  • REKTORYS, K. Přehled užité matematiky. Praha : Prometheus, 2000. 7. vydání. ISBN 80-7196-181-72
  • ZINDULKA, O. Matematika 3. Česká technika - nakladatelství ČVUT, 2007, 1. vydání, ISBN 978-80-01-03678-5.
Forms of Teaching
Seminar
Teaching Methods
Frontal Teaching
Group Teaching - Cooperation
Critical Thinking
Individual Work– Individual or Individualized Activity
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for Seminars, Exercises, Tutorial16 
Preparation for the Final Test10 
Attendance on Seminars/Exercises/Tutorial/Excursion26 
Total:520
Assessment Methods and Assesment Rate
Exam – oral 5 %
Test – final 95 %
Exam conditions
The student gains the credit on the base of the attendance and the result of the final written test. The student has to attend 70% of seminars. The final test consists of four examples with a total of 50 points. It is necessary to reach 30 points to gain the credit. Students have the possibility of a reparative test.
Language of instruction
Czech
Further Comments
The course is taught: every week.
The course is also listed under the following terms 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, summer 2018, winter 2018, winter 2019, winter 2020.
  • Enrolment Statistics (Winter 2010, recent)
  • Permalink: https://is.vstecb.cz/course/vste/winter2010/MAT_3