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| Course Description |
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| 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 |
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| Year of Study |
: |
1 |
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| Course Semester |
: |
Fall (16 Weeks) |
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| ECTS |
: |
4 |
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| Name of Lecturer(s) |
: |
Asst.Prof.Dr. ERSİN KIRAL
Assoc.Prof.Dr. S.BİLGİN KILIÇ
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| Learning Outcomes of the Course |
: |
Gain the ability to apply knowledge in Mathematics in the fields of business, economics and problems in social sciences.
Create and solve mathematical model of economic problems encountered in the field of business
Define and formulate the problem
Interpret solutions by analyzing obtained results
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| 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 taught to form theoretical background. |
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| 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.
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| 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 |
Linear Equations and Inequalities
Graphs and Lines |
Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
|
2 |
Functions
Elementary Functions: Graphs and Transformations
Quadratic Functions
|
Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
|
3 |
Polynomials and Rational Functions
Exponential Functions
Logarithmic Functions |
Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
|
4 |
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 |
lecture, problem solving |
|
5 |
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 |
lecture, problem solving |
|
6 |
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 |
lecture, problem solving |
|
7 |
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 |
lecture, problem solving |
|
8 |
Mid-term examination |
Prepare for the exam |
written exam |
|
9 |
The Concept of Differential
Additional Derivative Topics
|
Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
|
10 |
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 |
lecture, problem solving |
|
11 |
Constant-e and continuous compound interest
Derivation of Exponential and Logarithmic Functions
Product and Quotient Rules |
Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
|
12 |
The Chain Rule
Implicit Differentiation |
Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, 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 |
lecture, problem solving |
|
14 |
First Derivative and Graphs
Second Derivatives and Graphs
ApplicatL´Hopital´s Rule
Curve Drawing Techniques
Optimizationions
|
Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
|
15 |
L´Hopital Rule and Optimization |
Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
|
16/17 |
Final examination |
Prepare for the exam |
written exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Haeussler, E. R., Paul, R. S., Introductory Mathematical Analysis- For Business, Economics and the life and Social Sciences, Prentice-Hall, 1996
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| |
| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
100 |
|
Homeworks/Projects/Others |
0 |
0 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
| |
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Final Assessments
|
100 |
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Rate of Final Assessments to Success
|
60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Explain the importance of demand and supply in economy science and the well-running conditions of the market economy |
4 |
|
2 |
Define the role of pricing within the event advantage of the market economy. |
5 |
|
3 |
Define the role of the state in economy, money and financial policies, the central bank and the structure of the market. |
2 |
|
4 |
Perceive the costs and benefits arising from the global economy |
3 |
|
5 |
Produce numerical and policy options when confronted with problems. |
5 |
|
6 |
Use quantitative and qualitative techniques of model building, decoding and interpretation. |
2 |
|
7 |
Use the theory of economics in the analysis of economic events. |
4 |
|
8 |
Use computer programs, do synthesis and present prepared data efficiently. |
3 |
|
9 |
Apply the methods of economic analysis. |
1 |
|
10 |
Analyze at conceptual level and acquires ability in comparing, interpreting, evaluating and synthesizing in order to develop solutions to problems |
3 |
|
11 |
Take responsibility individually and / or in a team, take leadership and work effectively. |
5 |
|
12 |
Follow innovative developments in the field being aware of the necessity of lifelong learning and improving him-/herself.. |
3 |
|
13 |
Use of different sources about an unfamiliar field within academic principles, synthesize gained data and presents effectively. |
4 |
|
14 |
Use Turkish and at least one foreign language in accordance with the requirements of academic and work life. |
5 |
|
15 |
Understand and interpret related people´s feelings, thoughts, and behaviours correctly; expresse him-/herself accurately in written and oral language. |
5 |
|
16 |
Question traditional attitudes, applications and methods, develop and apply new methods when needed. |
5 |
|
17 |
Recognize and apply social, scientific and professional ethical values. |
5 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
|
Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
|
Out of Class Study (Preliminary Work, Practice) |
14 |
4 |
56 |
| Assesment Related Works |
|
Homeworks, Projects, Others |
0 |
0 |
0 |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
5 |
5 |
|
Final Exam |
1 |
5 |
5 |
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Total Workload: | 108 |
| Total Workload / 25 (h): | 4.32 |
| ECTS Credit: | 4 |
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