Veidlapa Nr. M-3 (8)
Study Course Description
Mathematics
Course Code
SZF_082
Branch of Science
Mathematics
ECTS
5.00
Target Audience
Management Science; Marketing and Advertising
LQF
Level 6
Study Type And Form
Full-Time; Part-Time
Study Course Implementer
Course Supervisor
Evija Liepa-Hazeleja
Structure Unit Manager
Ieva Puzo
Structural Unit
Faculty of Social Sciences
Contacts
Dzirciema street 16, Rīga, szf@rsu.lv
About Study Course
Objective
To provide knowledge of advanced mathematical methods related to solving various economic problems. To form a notion of possibilities for mathematical modelling and analysis of economic and business management situations.
Preliminary Knowledge
Basic economics and mathematics at the secondary school level.
Learning Outcomes
Knowledge
1.After the completion of the course, students acquire knowledge in advanced mathematics.
Skills
1.Students will be able to create and solve linear equation systems, work with matrices, study functions and solve tasks in financial mathematics.
Competences
1.Students will be able to classify sets, perform economic interpretation of matrices, explain function research algorithm, define concepts of financial mathematics.
Assessment
Individual work
|
Title
|
% from total grade
|
Grade
|
|---|---|---|
|
1.
Individual work |
-
|
-
|
|
Learning and completing assignments on each topic.
In order to evaluate the quality of the study course as a whole, the student must fill out the study course evaluation questionnaire on the Student Portal.
|
||
Examination
|
Title
|
% from total grade
|
Grade
|
|---|---|---|
|
1.
Examination |
-
|
-
|
|
All completed practical work and acquisition of theory, report, exam.
|
||
Study Course Theme Plan
FULL-TIME
Part 1
-
Lecture
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Logical operations with expressions. Predicates. Quantifiers.
|
-
Lecture
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Function boundary concept, continuous, interrupted functions.
|
-
Lecture
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
The first order derivative of a function.
|
-
Class/Seminar
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Annuity. Loans.
|
-
Class/Seminar
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Annuity. Loans.
|
-
Lecture
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Function research algorithm.
|
-
Class/Seminar
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Determinants. Matrices, operations with them.
|
-
Lecture
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Concepts of financial mathematics.
|
-
Lecture
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Concept of function, properties of functions.
|
-
Class/Seminar
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Calculation of the definite integral. Improper integrals.
|
-
Lecture
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Determinants. Matrices, operations with them.
|
-
Class/Seminar
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Functions of two variables.
|
-
Class/Seminar
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Calculation of the indefinite integral. Integration technique.
|
-
Class/Seminar
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Concept of function, properties of functions.
|
Total ECTS (Creditpoints):
5.00
Contact hours:
28 Academic Hours
Final Examination:
Exam (Written)
PART-TIME
Part 1
-
Lecture
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Function research algorithm.
|
-
Class/Seminar
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Calculation of the definite integral. Improper integrals.
|
-
Class/Seminar
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Functions of two variables.
|
-
Class/Seminar
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Calculation of the indefinite integral. Integration technique.
|
-
Lecture
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Logical operations with expressions. Predicates. Quantifiers.
|
-
Lecture
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Determinants. Matrices, operations with them.
|
-
Lecture
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Function boundary concept, continuous, interrupted functions.
|
-
Class/Seminar
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Determinants. Matrices, operations with them.
|
-
Lecture
|
Modality
|
Location
|
Contact hours
|
|---|---|---|
|
On site
|
Auditorium
|
2
|
Topics
|
Concept of function, properties of functions.
|
Total ECTS (Creditpoints):
5.00
Contact hours:
18 Academic Hours
Final Examination:
Exam (Written)
Bibliography
Required Reading
1.
Āboliņa B. Rokasgrāmata matemātikā: vecāko klašu skolēniem un studentiem. R: 2017
2.
Revina I., Peļņa M., Bāliņa S. Uzdevumu krājums matemātikā ekonomistiem. R: Zvaigzne ABC, 2002.
3.
Vintere A., Čerņajeva S. Mācību līdzeklis augstākās matemātikas pamatu apguvei. Jelgava: 2016.
4.
Volodko I. Augstākā matemātika. Īss teorijas izklāsts. Uzdevumu risinājumu paraugi. I daļa, Rīga, Zvaigzne ABC, 2007, 294. lpp.
Additional Reading
1.
Mizrahi A., Sullivan M. Mathematics for Business and Social Sciences. Wiley&Sons, 1998. - 696.p.
2.
Veģere S., Volodko I., Koliškins A., Kremeņeckis V. Matemātikas uzdevumu risināšana ar Mathematica 5. Rīga, 2009
3.
Stillwell J. Mathematics and Its History. 2nd edition. Springer, 2010.
4.
Tucker A. Applied Combinatorics. Wiley, 2012.
5.
Buiķis M., Siliņa B. Matemātika. Definīcijas. Formulas. Aprēķinu algoritmi. Zvaigzne ABC, 1997, 288 lpp.