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Mathematics

Study Course Description

Course Description Statuss:Approved
Course Description Version:1.00
Study Course Accepted:02.04.2024 15:16:21
Study Course Information
Course Code:SZF_082LQF level:Level 6
Credit Points:3.33ECTS:5.00
Branch of Science:MathematicsTarget Audience:Management Science; Marketing and Advertising
Study Course Supervisor
Course Supervisor:Evija Liepa-Hazeleja
Study Course Implementer
Structural Unit:Faculty of Social Sciences
The Head of Structural Unit:
Contacts:Dzirciema street 16, Rīga, szfatrsu[pnkts]lv
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
1Logical operations with expressions. Predicates. Quantifiers.Lectures1.00auditorium
2Determinants. Matrices, operations with them.Lectures1.00auditorium
Classes1.00auditorium
3Concept of function, properties of functions.Lectures1.00auditorium
Classes1.00auditorium
4Function boundary concept, continuous, interrupted functions.Lectures1.00auditorium
5The first order derivative of a function.Lectures1.00auditorium
6Function research algorithm.Lectures1.00auditorium
7Functions of two variables.Classes1.00auditorium
8Calculation of the indefinite integral. Integration technique.Classes1.00auditorium
9Calculation of the definite integral. Improper integrals.Classes1.00auditorium
10Concepts of financial mathematics.Lectures1.00auditorium
11Annuity. Loans.Classes2.00auditorium
Topic Layout (Part-Time)
No.TopicType of ImplementationNumberVenue
1Logical operations with expressions. Predicates. Quantifiers.Lectures1.00auditorium
2Determinants. Matrices, operations with them.Lectures1.00auditorium
Classes1.00auditorium
3Concept of function, properties of functions.Lectures1.00auditorium
4Function boundary concept, continuous, interrupted functions.Lectures1.00auditorium
6Function research algorithm.Lectures1.00auditorium
7Functions of two variables.Classes1.00auditorium
8Calculation of the indefinite integral. Integration technique.Classes1.00auditorium
9Calculation of the definite integral. Improper integrals.Classes1.00auditorium
Assessment
Unaided 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.
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
1Āboliņa B. Rokasgrāmata matemātikā: vecāko klašu skolēniem un studentiem. R: 2017
2Revina I., Peļņa M., Bāliņa S. Uzdevumu krājums matemātikā ekonomistiem. R: Zvaigzne ABC, 2002.
3Vintere A., Čerņajeva S. Mācību līdzeklis augstākās matemātikas pamatu apguvei. Jelgava: 2016.
4Volodko I. Augstākā matemātika. Īss teorijas izklāsts. Uzdevumu risinājumu paraugi. I daļa, Rīga, Zvaigzne ABC, 2007, 294. lpp.
Additional Reading
1Mizrahi A., Sullivan M. Mathematics for Business and Social Sciences. Wiley&Sons, 1998. - 696.p.
2Veģere S., Volodko I., Koliškins A., Kremeņeckis V. Matemātikas uzdevumu risināšana ar Mathematica 5. Rīga, 2009
3Stillwell J. Mathematics and Its History. 2nd edition. Springer, 2010.
4Tucker A. Applied Combinatorics. Wiley, 2012.
5Buiķis M., Siliņa B. Matemātika. Definīcijas. Formulas. Aprēķinu algoritmi. Zvaigzne ABC, 1997, 288 lpp.