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Mathematics

Study Course Description

Course Description Statuss:Approved
Course Description Version:5.00
Study Course Accepted:03.03.2020
Study Course Information
Course Code:SBUEK_046LQF level:Level 6
Credit Points:3.00ECTS:4.50
Branch of Science:MathematicsTarget Audience:Marketing and Advertising; Management Science
Study Course Supervisor
Course Supervisor:Evija Liepa
Study Course Implementer
Structural Unit:Department of International Business and Economics
The Head of Structural Unit:Romāns Putāns
Contacts:Riga, 16 Dzirciema Street, C block, Room C-215, sbekatrsu[pnkts]lv, +371 67409184
Study Course Planning
Full-Time - Semester No.1
Lectures (count)7Lecture Length (academic hours)2Total Contact Hours of Lectures14
Classes (count)7Class Length (academic hours)2Total Contact Hours of Classes14
Total Contact Hours28
Part-Time - Semester No.1
Lectures (count)5Lecture Length (academic hours)2Total Contact Hours of Lectures10
Classes (count)4Class Length (academic hours)2Total Contact Hours of Classes8
Total Contact Hours18
Study course description
Preliminary Knowledge:
Basic economics and mathematics at the secondary school level.
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.
Topic Layout (Full-Time)
No.TopicType of ImplementationNumberVenue
1Clusters, classification thereof. Cluster operations. Visualisation of clusters.Lectures2.00auditorium
2Logical operations with expressions. Predicates. Quantifiers.Lectures1.00auditorium
3Determinants. Matrices, operations with them.Lectures1.00auditorium
4Concept of function, properties of functions.Lectures1.00auditorium
5Function boundary concept, continuous, interrupted functions.Lectures1.00auditorium
6The first order derivative of a function.Lectures1.00auditorium
7Function research algorithm.Classes1.00auditorium
8Functions of two variables.Classes1.00auditorium
9Calculation of the indefinite integral. Integration technique.Classes1.00auditorium
10Calculation of the definite integral. Improper integrals.Classes1.00auditorium
11Concepts of financial mathematics.Classes1.00auditorium
12Annuity. Loans.Classes2.00auditorium
Topic Layout (Part-Time)
No.TopicType of ImplementationNumberVenue
1Clusters, classification thereof. Cluster operations. Visualisation of clusters.Lectures1.00auditorium
2Logical operations with expressions. Predicates. Quantifiers.Lectures1.00auditorium
3Determinants. Matrices, operations with them.Lectures1.00auditorium
4Concept of function, properties of functions.Lectures1.00auditorium
5Function boundary concept, continuous, interrupted functions.Lectures1.00auditorium
7Function research algorithm.Classes1.00auditorium
8Functions of two variables.Classes1.00auditorium
9Calculation of the indefinite integral. Integration technique.Classes1.00auditorium
10Calculation of the definite integral. Improper integrals.Classes1.00auditorium
Assessment
Unaided Work:
Learning and completing assignments on each topic.
Assessment Criteria:
All completed practical work and acquisition of theory, report, exam.
Final Examination (Full-Time):Exam (Written)
Final Examination (Part-Time):Exam (Written)
Learning Outcomes
Knowledge:After the completion of the course, students acquire knowledge in advanced mathematics.
Skills:Students will be able to create and solve linear equation systems, work with matrices, study functions and solve tasks in financial mathematics.
Competencies:Students will be able to classify sets, perform economic interpretation of matrices, explain function research algorithm, define concepts of financial mathematics.
Bibliography
No.Reference
Required Reading
1Bože Dz., Biezā L., Siliņa B., Strence A. Uzdevumu krājums augstākajā matemātikā, R: Zvaigzne ABC, 1996.
2Koliškins A., Volodko I., Antimirovs M. Matemātika I tehnisko augstskolu studentiem, R: RTU, 2004-2005.
3Koliškins A., Volodko I., Antimirovs M. Matemātika II tehnisko augstskolu studentiem, R: RTU, 2005.
4Kronbergs E., Rivža P., Bože Dz., Augstākā matemātika,1.daļa, R: Zvaigzne, 1988.
5Kronbergs E., Rivža P., Bože Dz., Augstākā matemātika, 2.daļa, R: Zvaigzne, 1988.
6Revina I., Peļņa M., Bāliņa S. Uzdevumu krājums matemātikā ekonomistiem. R: Zvaigzne ABC, 2002.
Additional Reading
1Hazans M., Bāliņa S. Funkcijas un tirgus modeļi. - R:1996. - 127 lpp.
2Mizrahi A., Sullivan M. Mathematics for Business and Social Sciences. - Wiley&Sons, 1998. - 696.p.
3Peļņa M. Kopu teorijas pamatjēdzieni. - R: LU, 1992.
4Šteiners K. Matemātiskās analīzes elementi. - R: Zvaigzne, 1993. - 319 lpp.