Course syllabus MT1A - Mathematics I (FBE - WS 2019/2020)


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Course code:
MT1A
Course title in Czech:
Mathematics I
Course title in English:
Mathematics I
Semester: WS 2019/2020
Mode of completion and number of credits: Exam (5 credits)
Mode of delivery and timetabled classes:
full-time, 2/2 (hours of lectures per week / hours of seminars per week)
Level of course:
bachelor
Course type:
required
Type of delivery:
usual
Mode of delivery for our mobility students abroad:
-- item not defined --
Language of instruction:
English
Course supervisor:
Course supervising department: Department of Statistics and Operation Analysis (FBE)
Faculty:
Faculty of Business and Economics
Teachers: RNDr. Karel Mikulášek, Ph.D. (supervisor)
Prerequisites: not Aplied Mathematics I
 
Timetable in this semester:
DayFrom-tillRoomTeacher
Entry
Frequency
Capacity
Tuesday
15.00-16.50Q25
not set
Lecture
Every week
30
Tuesday
17.00-18.50
Q25
not setSeminar
Every week
30
 
Aim of the course and learning outcomes:
Students should get an understanding of the basic concepta and methods of linear algebra and calculus. Solving suitable problems at workhops, they will prepare to tackle simple mathematical problems they may come across in practice.
 
Course content:
1.
Linear algebra (allowance 8/8)
 
a.Vector spaces
b.
Matrices
c.
Determinants
d.
Systems of linear equations
e.Matrix algebra

2.
Calculus (allowance 14/14)
 
a.
Functions, properties of functions, parametric functions
b.
Limits of functions, continuous functions
c.
Derivatives of functions, methods of differentiating
d.Applications of derivatives, sketching the graph of a function
e.
Sequences, power series

3.
Integral calculus (allowance 6/6)
 
a.
Rieman integral, antiderivative
b.Integration rules
c.
Applications of integrals

Learning activities and teaching methods:
Type of teaching method
Daily attendance
lecture
28 h
practice
28 h
seminar
0 h
preparation for exam
36 h
preparation for regular assessment12 h
preparation for regular testing
36 h
elaboration and execution of projects0 h
Total
140 h
 
Assessment methods:
At mid-term, in a written test, students are required to submit solutions to several practical problems for them to see the improvement needed. To complete the course a written test consisting of practical and theoretical parts is required. In the practical part, students have to solve 3 to 4 problems and, in the theoretical part, to give correct answers to 3 to 4 questions to see whether they have a good understanding of the background theory. The points obtained in both parts are then added. To pass the examination, a student has to achieve at least 50 percent of the total number of points.
 
Assessment criteria ratio:
Requirement type
Daily attendance
Total
0 %
 
Recomended reading and other learning resources:
Basic:
BENCE, S. -- HOBSON, M. -- RILEY, K. Mathematical Methods For Physics and Engineering. Cambridge: Cambridge University Press, 2006. 1362 p. ISBN 978-0-521-86153-3.
LANG, S. A Firtst Course in Calculus. New York: Springer Verlag, 1993. 624 p. ISBN 0-387-96201-8.
STROUD, K. Engineering Mathematics. New York: Palgrave acmillan, 2001. 1220 p. ISBN 978-1-4039-4246-3.

Course listed in study plans for this semester:
Field of study B-EMEN-MEEN Business Economics and Management, full-time form, initial period WS 2019/2020
 
Course listed in previous semesters: SS 2019/2020, SS 2018/2019, WS 2018/2019, SS 2017/2018, WS 2017/2018, SS 2016/2017 (and older)
Teaching place:
Brno


Last modification made by Ing. Jiří Gruber on 05/22/2019.

Type of output: