| 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 a function and be capable to apply them in their field of study.
|
| Mode of Delivery | Face to face |
|---|
| 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. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Real numbers, absolute value, rectangular coordinates in the plane |
|
2nd Week |
Concept of functions, domains and graphs, odd functions, even functions, composite functions, piecewise-defined functions |
|
3rd Week |
Trigonometric functions, trigonometric identities, periodic functions |
|
4th Week |
Concept of limits, right-hand and left-hand limits, limits at infinity, infinite limits |
|
5th Week |
Continuity, right-hand and left-hand continuity |
|
6th Week |
Concept of derivatives, geometric interpretation of the derivative |
|
7th Week |
Midterm Exam |
|
8th Week |
Rules of differentiation |
|
9th Week |
Chain rule, increasing-decreasing functions, higher-order derivatives |
|
10th Week |
Implicit differentiation |
|
11th Week |
Inverse functions, exponential and logarithmic functions, logarithmic differentiation |
|
12th Week |
Extrema, concavity, max-min problems |
|
13th Week |
Graphing functions |
|
14th Week |
Indeterminate forms, L'Hospital's Rule |
|
| Recommended or Required Reading | 1)Temel Matematiksel Analiz; İşletme, İ;ktisat, Yaşam Bilimleri ve Soyal bilimler için, Ernest F. Haeussler, Richard S. Paul, Richard Wood.
2)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 |
0 |
0 |
0 |
| 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) |
0 |
0 |
0 |
| Final exam |
1 |
3 |
3 |
| Homework |
0 |
0 |
0 |
| 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 |
|---|
