- Course Code
- TKM114
- Semester
- Second Term (Spring)
- Theory+Practice
- 4 + 0
- ECTS
- 6
| Course Type | Compulsory Course |
|---|
| Course Level | Bachelor's Degree |
|---|
| Year of Study | 1 |
|---|
| Semester | Second Term (Spring) |
|---|
| 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 derivative and integral function and be capable to apply them in their field of study.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | Yes(TKM113) |
|---|
| Recommended Optional Programme Components | None |
|---|
| Course Description | Definite and indefinite integrals, matrices, determinants, systems of linear equations; functions of several variables: limit, differentiation and chain rule, gradient vector, tangent plane, extreme-value problems, the method of Langrange multipliers; double integrals. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Indefinite Integral, Techniques of Integration |
|
2nd Week |
Definite Integral, Properties of definite integral, Area between curves |
|
3rd Week |
Improper Integrals, Matrices, Matrix Operation, Inverse Matrix, Row Operations |
|
4th Week |
System of linear equations and solution methods |
|
5th Week |
Determinant and properties, Cramer Rule |
|
6th Week |
Linear Inequalities, System of linear inequalities, Linear Programming |
|
7th Week |
Multiple Optimum Solutions |
|
8th Week |
Midterm |
|
9th Week |
Functions of several variables, Graphs in R3 |
|
10th Week |
Partial derivatives, Application of partial derivatives, Implicit differentiation |
|
11th Week |
High order partial derivatives, chain rule |
|
12th Week |
Maximum and minimum for function of several variables |
|
13th Week |
Lagrange multipliers |
|
14th Week |
Double Integrals |
|
| Recommended or Required Reading | Temel matematiksel analiz; işletme, iktisat, yaşam bilimleri ve sosyal bilimler için, Ernest F. Haeussler, Richard S. Paul, Richard Wood.
Sosyal ve Beşeri bilimlerde Matematik II, Prof. Dr. Halil İbrahim Karakaş, Akademik Consulting & Training (Yayınevi). |
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Problem Solving
- Discussion
|
|---|
| 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 |
70 |
70 |
| Course hours |
14 |
4 |
56 |
| Preparation for Midterm exam |
1 |
50 |
50 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
3 |
3 |
| Homework |
|
|
|
| Total Work Load | 237 |
| Total Work Load / 30 (h) | 7.9 |
| ECTS Credit of the Course | 6 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
Programme Qualifications / Learning Outcomes
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LO1 |
LO2 |
LO3 |
| K1 |
X |
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X |
| K2 |
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X |
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| K3 |
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| K4 |
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| K5 |
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| K6 |
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| K7 |
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| K8 |
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| K9 |
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| K10 |
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| K11 |
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| K12 |
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| K13 |
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| K14 |
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| K15 |
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