Course Code:
MATH 175
Course Period:
Autumn
Course Type:
Core
P:
3
Application:
0
Credits:
3
ECTS:
6
Course Language:
Almanca
Course Objectives:
In this course the most important mathematical tools and methods are introduced and it is aimed to teach the math-related basic principles of business and economics environments.
Course Content:

Linear Algebra-Matrices, Vectors, Geometric series, Interest rate calculations, Bonds, Annuities, Nominal value, Coordinates, Differential Equations, Linear Optimization

Course Methodology:
1: Lecture, 2: Question-Answer, 3: Discussion, 9: Simulation, 12: Case Study
Course Evaluation Methods:
A: Testing, B: Homework, C: Performance

## Vertical Tabs

### Course Learning Outcomes

 Learning Outcomes Program Learning Outcomes Teaching Methods Assessment Methods Learning how to calculate the matrix 4,20 1,2 A The linear combination of vectors calculations 1,20 1,2,3 A Learning how to solve systems of linear equations 1,20 1,2 A Retirement, learn about credit and interest rate calculation 1,5 1,2,3 A Calculation of the linear optimization 6,20 1,2,3 A

### Course Flow

 Week Topics Study Materials 1 Introduction-Linear Algebra-Matrices 2 Matrix calculation rules, Reverse and Transpose Matrix 3 Vectors, row and column vectors, scalar product, vector length, linear combination of vectors and linear independence 4 Systems of Linear Equations, Input and Output Models 5 Gauss Elimination Method 6 Determinant calculation rules, the Laplace method, Sarrus Rule 7 The solution of linear equation systems, Kramer Rule 8 Geometric series and Interest Calculations 9 Bonds, Annuities, the final and the nominal value of continuity 10 Pension funds, the method of Compound Interest, Credit and Interest Calculation 11 Coordinates and Coordinate Systems, Length, Slope, Slope of a line mid-point, linear equations 12 The point of intersection of two lines and Linear Optimization 13 Differential equations are one-dimensional, local or global extreme values 14 Local or global extreme values 15 Case Studies 16 Final Exam

### Recommended Sources

 Textbook Leydold- Mathematik für Ökonomen , Oldenburg- Wolls Lehr- und Handbücher der Wirtschafts- und Sozialwissenschaften Additional Resources Univ. Doz. Dr. Wolfgang Hörmann, Mathematik für Wissenschaftler

### Material Sharing

 Documents Assignments Exams

### Assessment

 IN-TERM STUDIES NUMBER PERCENTAGE Mid-terms 1 100 Quizzes Assignment Total 100 CONTRIBUTION OF FINAL EXAMINATION TO OVERALL GRADE 60 CONTRIBUTION OF IN-TERM STUDIES TO OVERALL GRADE 40 Total 100

 COURSE CATEGORY Expertise/Field Courses