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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_082 | LQF level: | Level 6 | ||||||
| Credit Points: | 3.33 | ECTS: | 5.00 | ||||||
| Branch of Science: | Mathematics | Target 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, szf rsu[pnkts]lv | ||||||||
| Study Course Planning | |||||||||
| Full-Time - Semester No.1 | |||||||||
| Lectures (count) | 7 | Lecture Length (academic hours) | 2 | Total Contact Hours of Lectures | 14 | ||||
| Classes (count) | 7 | Class Length (academic hours) | 2 | Total Contact Hours of Classes | 14 | ||||
| Total Contact Hours | 28 | ||||||||
| Part-Time - Semester No.1 | |||||||||
| Lectures (count) | 5 | Lecture Length (academic hours) | 2 | Total Contact Hours of Lectures | 10 | ||||
| Classes (count) | 4 | Class Length (academic hours) | 2 | Total Contact Hours of Classes | 8 | ||||
| Total Contact Hours | 18 | ||||||||
| 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. | Topic | Type of Implementation | Number | Venue | |||||
| 1 | Logical operations with expressions. Predicates. Quantifiers. | Lectures | 1.00 | auditorium | |||||
| 2 | Determinants. Matrices, operations with them. | Lectures | 1.00 | auditorium | |||||
| Classes | 1.00 | auditorium | |||||||
| 3 | Concept of function, properties of functions. | Lectures | 1.00 | auditorium | |||||
| Classes | 1.00 | auditorium | |||||||
| 4 | Function boundary concept, continuous, interrupted functions. | Lectures | 1.00 | auditorium | |||||
| 5 | The first order derivative of a function. | Lectures | 1.00 | auditorium | |||||
| 6 | Function research algorithm. | Lectures | 1.00 | auditorium | |||||
| 7 | Functions of two variables. | Classes | 1.00 | auditorium | |||||
| 8 | Calculation of the indefinite integral. Integration technique. | Classes | 1.00 | auditorium | |||||
| 9 | Calculation of the definite integral. Improper integrals. | Classes | 1.00 | auditorium | |||||
| 10 | Concepts of financial mathematics. | Lectures | 1.00 | auditorium | |||||
| 11 | Annuity. Loans. | Classes | 2.00 | auditorium | |||||
| Topic Layout (Part-Time) | |||||||||
| No. | Topic | Type of Implementation | Number | Venue | |||||
| 1 | Logical operations with expressions. Predicates. Quantifiers. | Lectures | 1.00 | auditorium | |||||
| 2 | Determinants. Matrices, operations with them. | Lectures | 1.00 | auditorium | |||||
| Classes | 1.00 | auditorium | |||||||
| 3 | Concept of function, properties of functions. | Lectures | 1.00 | auditorium | |||||
| 4 | Function boundary concept, continuous, interrupted functions. | Lectures | 1.00 | auditorium | |||||
| 6 | Function research algorithm. | Lectures | 1.00 | auditorium | |||||
| 7 | Functions of two variables. | Classes | 1.00 | auditorium | |||||
| 8 | Calculation of the indefinite integral. Integration technique. | Classes | 1.00 | auditorium | |||||
| 9 | Calculation of the definite integral. Improper integrals. | Classes | 1.00 | auditorium | |||||
| 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 | |||||||||
| 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. | ||||||||
