Single Variable Analysis II(MAT102)
| Course Code | Course Name | Semester | Theory | Practice | Lab | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| MAT102 | Single Variable Analysis II | 2 | 5 | 0 | 0 | 5 | 7 |
| Prerequisites | |
| Admission Requirements |
| Language of Instruction | French |
| Course Type | Compulsory |
| Course Level | Bachelor Degree |
| Course Instructor(s) | Oğuzhan KAYA oguzabel@gmail.com (Email) Begüm Gülşah ÇAKTI (Email) |
| Assistant | |
| Objective | To build, with appropriate rigour, the foundations of calculus and along the way to develop the skills to enable us to continue studying mathematics |
| Content | Course syllabus : Intermediate Value Theorem, Limit, Continuity, Trigonometric functions, Asymptotes, Differentiation, Mean Value Theorem, Rolle Theorem, L’Hospital Rule, Graphs of functions, Hyperbolic functions, Riemann integral- Darboux theorem, Area and volume calculation, Improper integral. |
| Course Learning Outcomes | The student is expected to learn the main notions and the teorems (Intermediate Value Theorem, Differentiation, Mean Value Theorem, Rolle Theorem, Riemann integral, Improper integral). The student will be able make the applications and he/she will be able to draw the usual functions graphics |
| Teaching and Learning Methods | Courses and the problem solving |
| References |
A First Course in Real Analysis, Sterling K.Berberian, Springer Calculus, TÜBA yayınları Mathématiques de 1er cycle, 1er année, Dixmier |
Theory Topics
| Week | Weekly Contents |
|---|
Practice Topics
| Week | Weekly Contents |
|---|
Contribution to Overall Grade
| Number | Contribution | |
|---|---|---|
| Contribution of in-term studies to overall grade | 4 | 60 |
| Contribution of final exam to overall grade | 1 | 40 |
| Toplam | 5 | 100 |
In-Term Studies
| Number | Contribution | |
|---|---|---|
| Assignments | 0 | 0 |
| Presentation | 0 | 0 |
| Midterm Examinations (including preparation) | 0 | 0 |
| Project | 0 | 0 |
| Laboratory | 0 | 0 |
| Other Applications | 0 | 0 |
| Quiz | 0 | 0 |
| Term Paper/ Project | 0 | 0 |
| Portfolio Study | 0 | 0 |
| Reports | 0 | 0 |
| Learning Diary | 0 | 0 |
| Thesis/ Project | 0 | 0 |
| Seminar | 0 | 0 |
| Other | 0 | 0 |
| Toplam | 0 | 0 |
| No | Program Learning Outcomes | Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| Activities | Number | Period | Total Workload |
|---|---|---|---|
| Class Hours | 14 | 5 | 70 |
| Working Hours out of Class | 14 | 4 | 56 |
| Assignments | 7 | 3 | 21 |
| Midterm Examinations (including preparation) | 4 | 5 | 20 |
| Final Examinations (including preparation) | 1 | 10 | 10 |
| Total Workload | 177 | ||
| Total Workload / 25 | 7,08 | ||
| Credits ECTS | 7 | ||