| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Analysis IV | MAT212 | 4. Semester | 4 + 2 | 5.0 | 7.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assoc. Prof. Dr. Merve İLKHAN KARA |
| Instructors |
Mehmet Zeki SARIKAYA |
| Assistants | |
| Goals | To learn concept of vectoric-valued and function with multiple variable in analysis |
| Course Content | Limit, continuity and derivative in vector valued functions;Differential, tangent plane, gradient vector, divergence and rotation concepts; Limit, continuity and derivative in multivariable functions; Double integrals and applications; Triple integrals and applications; Line integrals; Surface integrals |
| Learning Outcomes |
- Student’s ability of commenting and thinking truely will improve and the students will gain basic information associated with mathematic |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Limits,continuity and differantiation concepts of vector functions | |
| 2. Week | Limit, continuity and derivative concepts and properties in functions of several variable | |
| 3. Week | Partial differentiation and directional derivatives | |
| 4. Week | Partial derivatives, directional derivatives | |
| 5. Week | Extreme values of functions of several variables and extreme value problems | |
| 6. Week | Double integrals and region transformations in double integrals (polar coordinates) | |
| 7. Week | Applications of Double integrals | |
| 8. Week | Midterm | |
| 9. Week | Triple integrals and calculation | |
| 10. Week | Region transformations in triple integrals (cylindrical and spherical coordinates) | |
| 11. Week | Applications of triple integrals | |
| 12. Week | Line Integrals and Green Theorem | |
| 13. Week | Surface integrals,Divergence and Stokes theorems | |
| 14. Week | Surface integrals,Divergence and Stokes theorems |
| 1. R.L.Finney and G.B Thomas, Calculus, Addison-Wesley, 1990 |
| 2. A.Browder, Mathematical Analysis (An Introduction), Springer, 1996 |
| 3.Ömer AKIN, Matematik Analiz ve Analitik Geometri (cilt 1-2), Palme Yayıncılık, 2001 |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 5 | 5 | 60 |
| PY2 | 5 | 5 | 60 |
| PY3 | 3 | 3 | 60 |
| PY4 | 1 | 1 | 60 |
| PY5 | 1 | 1 | 60 |
| PY6 | 2 | 2 | 60 |
| PY7 | 4 | 4 | 60 |
| PY8 | 5 | 5 | 60 |
| PY9 | 4 | 4 | 60 |
| PY10 | 5 | 5 | 60 |
| PY11 | 1 | 1 | 60 |
| PY12 | 5 | 5 | 60 |
| PY13 | 3 | 3 | 60 |
| PY14 | 1 | 1 | 60 |
| PY15 | 1 | 1 | 60 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 14 | 6 | 84 |
| Midterm 1 | 1 | 1.5 | 1.5 |
| Homework 1 | 5 | 1.5 | 7.5 |
| Final | 1 | 1.5 | 1.5 |
| Practice | 14 | 2 | 28 |
| Practice End-Of-Term | 14 | 2 | 28 |
| Classroom Activities | 14 | 2 | 28 |
| Total Workload | 178.5 | ||
| ECTS Credit of the Course | 7.0 | ||
