MAT_3 Mathematics III

Institute of Technology and Business in České Budějovice
summer 2011
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.
Timetable
each odd Tuesday 17:10–18:40 B5, each odd Tuesday 18:45–20:15 B5
Prerequisites
MTT_1 Mathematics for technicians I || MTE Mathematics for economists || MA_ST_II Matematika SM II || MTT_2 Mathematics II (Civil engineering)
Mathematics I, II.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives supported by learning outcomes
The goal is to add the parts of mathematics concerning the courses Mathematics 1 and Mathematics 2. Emphasis will be placed on the application tasks. The subject is devoted to the solution of ordinary differential equations and systems and introduction to integral calculus of two and three variables.
Syllabus
  • The ordinary linear differential equations of the first and higher order with constant coefficients. The characteristic equation, variation of parameters, estimation method. The principle of superposition. Systems of differential equations. Functions of several variables. Polar, circular, spherical coordinates. Double and triple integral, Fubini's theorem. Solving application problems. Curve integral. Green's theorem. Application tasks.
Literature
    required literature
  • Zindulka, O.: Matematika 3, Česká technika - nakladatelství ČVUT, 2007, 1. vydání, 155 stran, ISBN 978-80-01-03678-5
    recommended literature
  • Bubeník, F., Zindulka, O., Matematika 1, Česká technika - nakladatelství ČVUT, 2005, 1. vydání, ISBN 80-01-03309-0
  • Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, ISBN 80-01-03535-2
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
The course is also listed under the following terms Winter 2010, 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 (summer 2011, recent)
  • Permalink: https://is.vstecb.cz/course/vste/summer2011/MAT_3