| Course Name | Code | Semester | T+U Hours | Credit | ECTS |
|---|---|---|---|---|---|
| Analysis Iii | IME 207 | 3 | 2 + 0 | 2 | 3 |
| Precondition Courses | |
| Recommended Optional Courses | |
| Course Language | Turkish |
| Course Level | Bachelor's Degree |
| Course Type | Compulsory |
| Course Coordinator | Dr.Öğr.Üyesi MİTHAT TAKUNYACI |
| Course Lecturers | Dr.Öğr.Üyesi MİTHAT TAKUNYACI, |
| Course Assistants | Res. Assist. Emine Nur BİLGİÇ |
| Course Category | Available Basic Education in the Field |
| Course Objective | The purpose of the course is to be able to examine development of basic mathematical concepts and theoretical structure of storied integral calculus in hypervariable functions. |
| Course Content | Concepts of function of several variables, definition of function and value sets, function drawings. Limit concepts in two valued functions and applications, concepts of continuity. Partial derivative in two valued functions, chain rule, differential increase and linearization, |
| # | Course Learning Outcomes | Teaching Methods | Assessment Methods |
|---|---|---|---|
| 1 | Student will recognize hypervariable functions, find the domain and draw the graphs. | Lecture, Drilland Practice, | Testing, Homework, |
| 2 | Students will learn how to define the concepts of limit for multivariable functions. | Lecture, Question-Answer, Discussion, | Testing, |
| 3 | Students will learn how to define the concepts of continuity for multivariable functions | Lecture, Question-Answer, Discussion, | Testing, |
| 4 | Students will learn how to define the concepts of derivative for multivariable functions | Lecture, Question-Answer, Discussion, | Testing, |
| 5 | Students will learn how to function series. | Lecture, Question-Answer, Discussion, | Testing, |
| Week | Course Topics | Preliminary Preparation |
|---|---|---|
| 1 | Concept of function of several variables, definition of function and value sets, graphic drawings | |
| 2 | Topology of IRN | |
| 3 | Concept of limit in functions of two variables | |
| 4 | Concept of continuity in functions of two variables | |
| 5 | Derivative in functions of two variables | |
| 6 | Partial derivatives in functions of two variables | |
| 7 | Geometric Interpretation of Partial Derivative | |
| 8 | Chain rule with two variable functions | |
| 9 | Midterm | |
| 10 | Directional derivative concept | |
| 11 | Higher-Order Derivatives | |
| 12 | Function Series. | |
| 13 | General applications | |
| 14 | General applications |
| Resources | |
|---|---|
| Course Notes | |
| Course Resources | Thomas Kalkülüs Metrik Baskı Cilt: 1, George B. Thomas, Joel R. Hass, Maurice D. Weir, Pearson Education Matematik Analiz, Mustafa Balcı, Balcı Yayınları |
| Order | Program Outcomes | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
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| Evaluation System | |
|---|---|
| Semester Studies | Contribution Rate |
| 1. Ara Sınav | 60 |
| 1. Kısa Sınav | 15 |
| 1. Ödev | 10 |
| 2. Kısa Sınav | 15 |
| Total | 100 |
| 1. Yıl İçinin Başarıya | 50 |
| 1. Final | 50 |
| Total | 100 |
| ECTS - Workload Activity | Quantity | Time (Hours) | Total Workload (Hours) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 2 | 32 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 2 | 32 |
| Mid-terms | 1 | 5 | 5 |
| Quiz | 2 | 4 | 8 |
| Assignment | 1 | 3 | 3 |
| Final examination | 1 | 6 | 6 |
| Total Workload | 86 | ||
| Total Workload / 25 (Hours) | 3.44 | ||
| dersAKTSKredisi | 3 | ||