| Course Type | Compulsory Course |
|---|
| Course Level | Bachelor's Degree |
|---|
| Year of Study | 1 |
|---|
| Semester | First Term (Fall) |
|---|
| ECTS | 6 |
|---|
| Name of Lecturer(s) |
|
| Learning Outcomes |
At the end of this course, the students;
- Understand and use the language of mathematics
- Analyze and solve the problems encountered by mathematical thinking and derive conclusions and apply them
- Know the basic mathematical concepts such as limit, derivative and integral function and be capable to apply them in their field of study.
|
| Mode of Delivery | Face to face |
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| Prerequisites | No |
|---|
| Recommended Optional Programme Components | None |
|---|
| Course Description | Sets of numbers, absolute value and inequalities; the concepts of function, limit and continuity; differentiation, increasing and decreasing functions, first and second derivative tests, extreme value problems, L'Hospital's Rule, graphs of functions, inverse function, logarithmic and exponential functions will be covered.
Students who miss more than 30% of total class hours receive an F2 grade. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Real Numbers, absolute value, cartesian coordinates in the plane |
|
2nd Week |
Function, domain and graphs, odd function, even function, composite function, piecewise-defined function |
|
3rd Week |
Trigonometric functions, periodic functions |
|
4th Week |
Definition of limit, right and left limits, limits of infinity, infinite limit |
|
5th Week |
Continuity, right and left continuity |
|
6th Week |
Definition of derivative, geometric interpretation of derivative |
|
7th Week |
Midterm |
|
8th Week |
Differentiation rules |
|
9th Week |
Chain rule, increasing and decreasing functions, higher-order derivatives |
|
10th Week |
Inverse function, exponential and logaritmic functions |
|
11th Week |
Extreme values, concavity, max-min problems |
|
12th Week |
Sketching the graph of a function |
|
13th Week |
Graphing functions |
|
14th Week |
Indeterminate forms, L'Hospital's Rule |
|
| Recommended or Required Reading | Temel Matematiksel Analiz; İşletme, İ;ktisat, Yaşam Bilimleri ve Soyal bilimler için, Ernest F. Haeussler, Richard S. Paul, Richard Wood.
Sosyal ve Beşeri Bilimlerde Matematik I, Prof. Dr. Halil İbrahim Karakaş, Akademi Consulting & Training (Yayınevi)
|
|---|
| 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 |
2 |
2 |
| Preparation for Quiz |
|
|
|
| Individual or group work |
14 |
4 |
56 |
| Preparation for Final exam |
1 |
40 |
40 |
| Course hours |
14 |
4 |
56 |
| Preparation for Midterm exam |
1 |
25 |
25 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
3 |
3 |
| Homework |
|
|
|
| Total Work Load | 182 |
| Total Work Load / 30 (h) | 6.06 |
| ECTS Credit of the Course | 6 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
