| Course Type | Elective Course |
|---|
| Course Level | Master's Degree With Thesis |
|---|
| Year of Study | - |
|---|
| Semester | - |
|---|
| ECTS | 10 |
|---|
| Name of Lecturer(s) |
|
| Learning Outcomes |
At the end of this course, the students;
- Make calculations with univariate and multivariate functions, evaluate the ability to apply these calculations into reallife problems.
- Calculate interest, anuity and amortisation.
- Solve exchange ratio and maximum-minimum problems.
- Can clculate integrals, make rant analysis.
- Solve differential equations and equation systems and apply on problems.
- Have knowledge about matrices and determinants and solve linear equation systems.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | None |
|---|
| Course Description | The aim of this course is to understand and practice actuarial mathematic methods in insurance and risk management area. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Polar coordinates, analytic geometry in three dimensional space |
|
2nd Week |
Vectors in the plane and in space, skaler multiplied, vectorial product, mixed product and applications |
|
3rd Week |
Definition of functions of several variables, domain sets, limit and continuity |
|
4th Week |
Partial derivatives, higher-order derivatives, the chain rule |
|
5th Week |
Extreme values, lagrange multipliers |
|
6th Week |
Double integrals in cartesian and polar coordinates, |
|
7th Week |
Coordinate transformations |
|
8th Week |
Midterm |
|
9th Week |
Vectors in plane and in three dimensional space. Algebra of vectors. Lines, planes and curves in space. |
|
10th Week |
Differential equations, seperable equations, homogeneous equations |
|
11th Week |
Exact equations and integrating factors, firs-order linear equations. |
|
12th Week |
Complex numbers , properties, geometric representation, complex conjugates, the polar form, product, powers |
|
13th Week |
Functions of a complex variable, limits, theorems on limits and continuity, the derivative, differentiation formulas |
|
14th Week |
The exponential function, the trigonometric functions,the hyperbolic funtions, the logatrithmic function, the root function |
|
| Recommended or Required Reading | Adams, R. A., Calculus: a complete course, 6th edition, Pearson/Addison Wesley, 2006
Kolman, B., Introductory Linear Algebra with applications, Prentice Hall, 1997
Barnett, R. A., Ziegler, M. R., Byleen, K. E., Calculus, 11th edition, Pearson International Edition, 2008
Barnett, R. A., Ziegler, M. R., Byleen, K. E., Finite Mathematics, 11th edition, Pearson International Edition, 2008
Ross, S. L., Differential Equations, John Wiley and Sons, 1993 |
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Discussion
- Questions/Answers
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
40 |
| Assignment |
1 |
10 |
| Total(%) |
|
50 |
| Contribution of In-term Studies to Overall Grade(%) |
|
50 |
| Contribution of Final Examination to Overall Grade(%) |
|
50 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
3 |
3 |
| Preparation for Quiz |
|
|
|
| Individual or group work |
14 |
10 |
140 |
| Preparation for Final exam |
1 |
45 |
45 |
| Course hours |
14 |
3 |
42 |
| Preparation for Midterm exam |
1 |
30 |
30 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
3 |
3 |
| Homework |
1 |
40 |
40 |
| Total Work Load | 303 |
| Total Work Load / 30 (h) | 10.1 |
| ECTS Credit of the Course | 10 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
