| Course Description |
|
| Course Name |
: |
Mathematics I |
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| Course Code |
: |
EAS105 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
|
| Year of Study |
: |
1 |
|
| Course Semester |
: |
Fall (16 Weeks) |
|
| ECTS |
: |
4 |
|
| Name of Lecturer(s) |
: |
Asst.Prof.Dr. SEMİN PAKSOY
Assoc.Prof.Dr. S.BİLGİN KILIÇ
Asst.Prof.Dr. ERSİN KIRAL
|
|
| Learning Outcomes of the Course |
: |
Gives the ability to apply to business, economics and social sciences problems by using information about mathematics.
Creates and solves mathematical model of economics problems encountered in business area.
Defines and formulates the problem.
Interprets by analyzing the results obtained from the solutions.
|
|
| Mode of Delivery |
: |
Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
In this course, basic concepts of mathematics will be given to form theoretical background
|
|
| Course Contents |
: |
Functions, Functions and Their Graphs, Limits and Continuity, Derivates, Economics Applications of Derivates,
Indeterminate Forms in Limits, Graphical Illustration of Polynomial and Rational Function.Graphical Illustration
of Exponantial Function.Graphical Illustration of Logarithmic Function. |
|
| Language of Instruction |
: |
Turkish |
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| Work Place |
: |
Classroom |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
1 |
ELEMENTARY FUNCTIONS (I)
Linear Equations and Inequalities
Graphs and Lines
Business, Economics and Social Sciences Applications |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
|
2 |
ELEMENTARY FUNCTIONS (II)
Functions
Elementary Functions: Graphs and Transformations
Quadratic Functions
Business, Economics and Social Sciences Applications |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
|
3 |
ELEMENTARY FUNCTIONS (III)
Polynomials and rational functions
Exponential Functions
Logarithmic functions
Business, Economics and Social Sciences Applications |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
|
4 |
LIMIT (I)
Introduction to the limit
Infinite Limits and Limits at Infinity |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
|
5 |
LIMIT (II)
Continuity
Limits and continuity applications
Business, Economics and Social Sciences Applications |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
|
6 |
DERIVATIVE (I)
Rate of Change, Instantaneous Rate of Change, The slope of a graph, Definition of Derivative,Finding Derivatives, Slope of the tangent line |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
|
7 |
DERIVATIVE (II)
Basic Rules of Differentiation
Business, Economics and Social Sciences Applications |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
|
8 |
Midterm examination
|
- |
- |
|
9 |
DERIVATIVE (III)
The concept of differential
Additional Derivative Topics
Business, Economics and Social Sciences Applications |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
|
10 |
DERIVATIVE (IV)
Marginal Analysis for Business and Economics
Marginal Cost, Revenue and Profit
Cost Analysis
Marginal Cost and Full Cost |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
|
11 |
Constant-e and continuous compound interest
Derivatives of Exponential and Logarithmic Functions
Product and Quotient Rules |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
|
12 |
The Chain Rule
Implicit Differentiation |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
|
13 |
Constant-e and Continuous Compound Interest
Derivatives of Exponential and Logarithmic Functions
Product and Quotient Rules |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
|
14 |
First Derivative and Graphs
Second Derivatives and Graphs
Applications |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
|
15 |
L´Hopital´s Rule
Curve Drawing Techniques
Optimization |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
|
16/17 |
Final examination
|
- |
- |
|
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Develops skills of defining and analyzing the international, regional and national oriented issues, producing appropriate conflict-resolution techniques and negotiation skills. |
4 |
|
2 |
Becomes skilful at following and interpreting different social areas in international and national levels and also applies the problem-solving oriented practices. |
3 |
|
3 |
Uses Turkish, and at least one more foreign language, in accordance with the requirements of academic and work life. |
1 |
|
4 |
Understands and interprets the feelings, thoughts and behaviors of related persons correctly; and expresses himself/herself in written and oral forms accurately. |
1 |
|
5 |
Questions traditional approaches, practices and methods; and develops and applies new study methods if necessary. |
3 |
|
6 |
Recognizes and implements social, scientific and professional ethical values. |
2 |
|
7 |
Has the conceptual and theoretical competence to explain the phenomena in the disciplines of Political Science and International Relations. |
3 |
|
8 |
Collects, reviews and analyzes the data obtained which necessary for modelling applications in the Social Science. |
4 |
|
9 |
Improves his/herself constantly by defining educational requirements considering interests and talents in scientific, cultural, art and social fields besides career development. |
3 |
|
10 |
Develops critical thinking skills. |
3 |
|
11 |
In recognition of the need for lifelong learning, follows the latest developments in the field and improves himself/herself. |
4 |
|
12 |
Individually and/or in a team, takes responsibility, leadership, and works effectively. |
3 |
|
13 |
Identifies the international and national issues by methodologies used in the disciplines of Political Science and International Relations; chooses the appropriate analysis techniques across the issues and applies the appropriate empirical studies. |
3 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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