| Academic Unit: |
Faculty of Administrative and Social Sciences |
| Mode of Delivery: |
Face to face |
| Prerequisites: |
None |
| Language of Instruction: |
English |
| Level of Course Unit: |
Undergraduate |
| Course Coordinator: |
- - |
| Course Objectives: |
1. To identify and evaluate functions of two or more independent variables and to solve problems involving Lagrange multipliers
2. To define the antiderivatives and the indefinite integral and to apply basic integration formulas
3. To apply the properties of the definite integral and be able to evaluate definite integrals
4. To determine the area, and solve an application involving income distribution
5. To evaluate consumers’ and producers’ surplus
6. To develop and apply the formula for integration by parts
7. To introduce the concept of matrix and determinants
8. To solve applications using matrix equations
9. To formulate and solve the two-and three-industry model of Leontief input-output analysis |
| Course Contents: |
In economics and administrative sciences, mathematics constitutes one of the main instruments to prepare and use quantitative models useful for description, analysis and solution of problematic situations. The course is designed to provide a mathematical foundation, including multivariable calculus, integration, methods and applications of integration, matrix algebra, determinants and some economics and business applications, for those students who are enrolled in economics and administrative sciences. |
| Learning Outcomes of the Course Unit (LO): |
- 1- Ability to evaluate accurately definite and indefinite integrations by using integration by parts, substitution, inverse substitution
- 2- Ability to use integration as a mathematical and an economic tool
- 3- Ability to apply functions of several variables to economic conditions
- 4- Ability to make optimization of functions of several variables
- 5- Ability to apply matrices and vectors to systems of equations with functions of several variables
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| Planned Learning Activities and Teaching Methods: |
Theory and Problem solving |
| Week | Subjects | Related Preperation |
| 1 |
Course introduction, Review of Derivatives |
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| 2 |
Differencials, Indefinite Integral, |
Introductory Mathematical Analysis Chapter 14.1, 14.2 |
| 3 |
Integration with initial conditions, Techniques of Integration |
Introductory Mathematical Analysis Chapter 14.3, 14.4, 14.5 |
| 4 |
Definite Integral, Approximate integration |
Introductory Mathematical Analysis Chapter 14.6, 14.8 |
| 5 |
Area and Area between Curves and Surfaces |
Introductory Mathematical Analysis Chapter 14.9 |
| 6 |
Consumers’ and Producers’ Surplus |
Introductory Mathematical Analysis Chapter 14.10 |
| 7 |
Methods of Applications of Integration: Integration by parts |
Introductory Mathematical Analysis Chapter 15.1 |
| 8 |
Integration by Partial Fractions |
Introductory Mathematical Analysis Chapter 15.2 |
| 9 |
Multivariable Calculus: Functions of Several Variables, Partial Derivatives, Applications of Partial Derivatives |
Introductory Mathematical Analysis Chapter 17.1, 17.2 |
| 10 |
Implicit Partial Differentiation, Higher Order Partial Derivatives |
Introductory Mathematical Analysis Chapter 17.3, 17.4 |
| 11 |
Chain Rule, Maxima and Minima for Functions of Two Variables |
Introductory Mathematical Analysis Chapter 17.5, 17.6 |
| 12 |
Lagrange Multipliers |
Introductory Mathematical Analysis Chapter 17.7 |
| 13 |
Matrix Algebra: Matrices, matrix operations |
Introductory Mathematical Analysis Chapter 6 |
| 14 |
Determinants: Cramer’s rule |
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At Kadir Has University, a Semester is 14 weeks; The weeks 15 and 16 are reserved for final exams.
THE RELATIONSHIP BETWEEN COURSE LEARNING OUTCOMES (LO) AND PROGRAM QUALIFICATIONS (PQ)
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Contribution: 1 Low, 2 Average, 3 High
