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


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Course code: AMA
Course title in Czech:
Aplied Mathematics I
Course title in English:
Aplied Mathematics I
Semester: WS 2019/2020
Mode of completion and number of credits:
Exam (5 credits)
Mode of delivery and timetabled classes:
full-time, 3/2 (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: Czech
Course supervisor: doc. Ing. Mgr. Jitka Janová, Ph.D.
Course supervising department:
Faculty:
Teachers: doc. Ing. Mgr. Jitka Janová, Ph.D. (supervisor)
RNDr. Dana Říhová, Ph.D. (examiner, instructor, lecturer)
Prerequisites: Physical Principles of Engineering Technologies or now Physical Principles of Engineering Technologies
 
Timetable in this semester:
Day
From-tillRoomField of studyYear of study
Group
Teacher
Entry
Frequency
Capacity
Monday
9.00-10.50
Q16
B-II-ARI
 
1
2
 
 
D. Říhová
Lecture
Every week
80
Monday
13.00-14.50
Q28
B-II-ARI
 
1
2
1
 
D. Říhová
Seminar
Every week25
Tuesday
15.00-16.50
Q46
B-II-ARI
 
1
2
2
 
Seminar
Every week25
 
Aim of the course and learning outcomes:
Achieving the level of mathematical knowledge, strenghening mathematical skills and development of logical thinking.
Mastery of mathematical tools necessary to formulate and solve real problems.
Obtaining mathematical knowledge needed for applications in professional cources and other separate knowledge gathering by studying professional literature.
 
Course content:
1.Introduction (allowance 1/1)
 
a.
Set theory
b.Propositional calculus

2.
Differential calculus (allowance 12/9)
 
a.
Function, basis concepts and properties
b.
Sequences
c.
Limit and continuity of function
d.
Derivative of function
e.
Applications of derivatives and curve sketching

3.
Integral calculus (allowance 10/7)
 
a.
Indefinite integral
b.
Definite integral and its applications
c.Improper integral

4.
Linear algebra (allowance 12/7)
 
a.Vectors. Linear dependence and independence of vectors. Vector space
b.Matrices and determinants
c.
Systems of linear equations

5.Polynomial approximation (allowance 7/4)
 
a.
Solution of algebraic equations
b.
Taylors polynomial, Lagranges interpolation formula
c.
Least square method

Learning activities and teaching methods:
Type of teaching methodDaily attendance
lecture
42 h
practice
28 h
preparation for exam40 h
preparation for regular assessment
10 h
preparation for regular testing20 h
Total
140 h
 
Assessment methods:
The exam is written and consists of two parts: computer-based test and a written exam. To pass the exam, it is necessary to get at least 50% in each part.


 
Assessment criteria ratio:
Requirement type
Daily attendance
Total0 %
 
Recomended reading and other learning resources:
Basic:
RÁDL, P. -- ČERNÁ, B. -- STARÁ, L. Základy vyšší matematiky. 3rd ed. Mendelova univerzita v Brně, 2014. 176 p. ISBN 978-80-7509-110-9.
ČERNÁ, B. -- RÁDL, P. AMA 1 oboru ARI - eLearningová opora.  [online]. 2013. URL: https://is.mendelu.cz/auth/eknihovna/opory/index.pl?opora=3102.

Recommended:
DOŠLÁ, Z. -- LIŠKA, P. Matematika pro nematematické obory: s aplikacemi v přírodních a technických vědách. 1st ed. Praha: Grada, 2014. 304 p. Expert. ISBN 978-80-247-5322-5.
RÁDL, P. -- MOUČKA, J. Matematika pro studenty ekonomie, 2., upravené a doplněné vydání. Praha: Grada, 2015. 272 p. ISBN 978-80-247-5406-2.
ČERNÁ, B. Matematika - lineární algebra. 4th ed. Brno: Mendelova zemědělská a lesnická univerzita v Brně, 2007. 129 p. ISBN 978-80-7375-080-0.
Thomas' calculus. Boston: Pearson, 2016. 1 p. ISBN 978-1-292-08979-9.
Applied calculus. 6th ed. Boston, MA: Brooks/Cole, Cengage Learning, 2013. 801 p. ISBN 978-1-133-10393-6.

Course listed in study plans for this semester:
Field of study B-II-CAI Automation Control and Informatics, full-time form, initial period WS 2019/2020
 
Course listed in previous semesters:
Teaching place:
Brno


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

Type of output: