| MATHEMATICS (TURKISH, PHD) | |||||
| PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MAT1005 | Mathematics for Social Sciences | Fall | 2 | 2 | 3 | 5 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | En |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | |
| Course Coordinator : | Dr. Öğr. Üyesi LAVDİE RADA ÜLGEN |
| Course Lecturer(s): |
Prof. Dr. İRİNİ DİMİTRİYADİS Dr. Öğr. Üyesi LAVDİE RADA ÜLGEN Dr. Öğr. Üyesi MÜRÜVVET ASLI AYDIN RA AYSUN SOYSAL RA DUYGU ÜÇÜNCÜ Prof. Dr. NAFİZ ARICA |
| Course Objectives: | The main goal of this course is to provide basic theory and applications of mathematics. |
|
The students who have succeeded in this course; The students who succeeded in this course; will be able to understand conceptual and visual representation of limits, continuity, differentiability, and tangent line approximations for functions at a point. will be able to use first and second derivative tests to optimize functions. will be able to use derivatives in practical applications, such as distance, velocity, acceleration and related rates. will be able to graph a simple function. will be able to evaluate the antidifferentiates of basic functions. will be able to use Riemann Sums to estimate areas under the curve. will be able to apply Fundamental Theorem of Calculus to evaluate definite integrals. |
| Real Numbers, Sets, Functions, Limits and continuity, Derivatives. Applications. Extreme values, the Mean Value Theorem and its applications, Graphing. The definite integral. The indefinite integral. Logarithmic, exponential, inverse trigonometric functions and their derivatives. L’Hopital’s Rule. Techniques of integration. Area, Matrix operators. |
| Week | Subject | Related Preparation | |
| 1) | Real numbers and sets | ||
| 1) | Matrix Operations and systems | ||
| 2) | Relations and Functions | ||
| 3) | Inequalities and Absolute Value | ||
| 4) | Limits and Properties of limits | ||
| 5) | Continuity | ||
| 6) | Derivative and Applications of derivative | ||
| 7) | Graphs | ||
| 8) | Optimization | ||
| 9) | Exponential, Logarithmic and Trigonometric Functions | ||
| 10) | Trigonometric identities | ||
| 11) | Antiderivative of a function | ||
| 12) | Riemann sum and definite integral | ||
| 13) | Integration rules and fundamental theorem of calculus | ||
| 14) | Area and applications | ||
| Course Notes: | 1-Applied Mathematics for business, Economics, Life Sciences and Social Sciences by R. A. Barnett, M. R. Ziegler, K. E. Byleen. |
| References: |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | % 0 | |
| Laboratory | % 0 | |
| Application | % 0 | |
| Field Work | % 0 | |
| Special Course Internship (Work Placement) | % 0 | |
| Quizzes | % 0 | |
| Homework Assignments | % 0 | |
| Presentation | % 0 | |
| Project | % 0 | |
| Seminar | % 0 | |
| Midterms | 2 | % 50 |
| Preliminary Jury | % 0 | |
| Final | 1 | % 50 |
| Paper Submission | % 0 | |
| Jury | % 0 | |
| Bütünleme | % 0 | |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 50 | |
| PERCENTAGE OF FINAL WORK | % 50 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 2 | 28 |
| Laboratory | 0 | 0 | 0 |
| Application | 14 | 2 | 28 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 14 | 2 | 28 |
| Presentations / Seminar | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Homework Assignments | 0 | 0 | 0 |
| Quizzes | 0 | 0 | 0 |
| Preliminary Jury | 0 | ||
| Midterms | 2 | 10 | 20 |
| Paper Submission | 0 | ||
| Jury | 0 | ||
| Final | 1 | 21 | 21 |
| Total Workload | 125 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |