| Course Type | Compulsory Course |
|---|
| Course Level | Bachelor's Degree |
|---|
| Year of Study | 1 |
|---|
| Semester | First Term (Fall) |
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| ECTS | 6 |
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| Name of Lecturer(s) |
|
| Learning Outcomes |
At the end of this course, the students;
- Develop the ability to understand the coordinate systems in the plane by defining concepts such as real numbers, absolute value, number line, and intervals.
- Gain the skills to define functions and elementary transformations, draw their graphs, and perform applications.
- Enhance students' ability to analyze linear, quadratic, polynomial, and rational functions and to solve problems using these equations.
- Improve the ability to comprehend the properties of exponential and logarithmic functions, calculate compound interest, and perform related applications.
- Understand the concepts of limits, continuity, derivatives, and asymptotes, and analyze the relationships among them.
- Acquire the ability to calculate the derivatives of constant functions, sums, differences, products, and quotients using differentiation rules and perform marginal analysis.
|
| Mode of Delivery | Face to face |
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| Prerequisites | No |
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| Recommended Optional Programme Components | None |
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| Course Description | This course covers topics such as number sets, absolute value, inequalities, the concept of functions, basic functions, limits, continuity, derivatives, increasing-decreasing functions, the second derivative test, L'Hopital's rule, graph drawing, maximum-minimum problems, logarithmic and exponential functions, integrals and methods of integration. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Sets, real numbers, absolute value, sigma notation and proof by mathematical induction, equations and inequalities, number line, intervals, coordinates in the plane, symmetry, mathematical modeling |
|
2nd Week |
Functions, functions in economics, basic functions, graphs and basic transformations, applications |
|
3rd Week |
Limits, continuity, infinite limits and vertical asymptotes, limits at infinity and horizontal asymptotes, infinite limits at infinity |
|
4th Week |
Polynomials, constant functions, linear functions and linear equations, equations of lines, quadratic functions,rational functions, applications, piecewise-defined functions |
|
5th Week |
Exponential functions, interest calculations, logarithmic functions, exponential and logarithmic equations, annuities, amortization |
|
6th Week |
Derivatives, rules of differentiation; derivatives of constant functions, sums, differences, products, quotients, and piecewise functions, approximate values, marginal analysis |
|
7th Week |
Review and applications |
|
8th Week |
Midterm exam |
|
9th Week |
The chain rule, derivatives of logarithmic and exponential functions, marginal analysis, l?hopital?s rule |
|
10th Week |
Increasing and decreasing functions, concavity, local maximum and local minimum, graphing, applications |
|
11th Week |
Critical points, first and second derivative tests, absolute maximum and absolute minimum |
|
12th Week |
Implicit differentiation, related rates problems |
|
13th Week |
Antiderivatives, indefinite integrals, substitution, integration by parts |
|
14th Week |
Definite integrals, fundamental theorem of calculus, area and volume calculations, rent, income distribution?lorenz curve, applications |
|
| Recommended or Required Reading | a) Internet :The primary resources for this course will consist of the first book listed below and the materials provided on the website oys.baskent.edu.tr.
b) Books: The books listed below are available in our university library.
Karakaş, H. İ. (2024). Sosyal ve Beşeri Bilimlerde Matematik?I. AKADEMİ Consulting & Training, Ankara, 3. Baskı. (Primary Textbook).
Barnett, R. A., Zeigler, M. R., & Byleen, K. E. (2008). Calculus for business, economics, life sciences, and social sciences. Prentice Hall.
Budnick, F. S. (1993). Applied mathematics for business, economics, and social sciences. McGraw-Hill.
Adams, R. A. (2003). Calculus: A complete course. Addison-Wesley, Longman.
Thomas, G. B., & Finney, R. L. (1990). Calculus and analytic geometry. Addison-Wesley Publishing.
Stewart, J. (1995). Calculus. Brooks/Cole Publishing.
Edwards, C. H., Jr., & Penney, D. E. (1986). Calculus and analytic geometry. Prentice Hall.
|
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Discussion
- Problem Solving
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
40 |
| Total(%) |
|
40 |
| Contribution of In-term Studies to Overall Grade(%) |
|
40 |
| Contribution of Final Examination to Overall Grade(%) |
|
60 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
1 |
1 |
| Preparation for Quiz |
|
|
|
| Individual or group work |
14 |
4 |
56 |
| Preparation for Final exam |
1 |
42 |
42 |
| Course hours |
14 |
3 |
42 |
| Preparation for Midterm exam |
1 |
21 |
21 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
1 |
1 |
| Homework |
|
|
|
| Total Work Load | 163 |
| Total Work Load / 30 (h) | 5.43 |
| ECTS Credit of the Course | 6 |
|
| Language of Instruction | Turkish |
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| Work Placement(s) | No |
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