Information Package & Course Catalogue
| 1 | Course Title: | MATHEMATICS |
| 2 | Course Code: | MAT1083 |
| 3 | Type of Course: | Compulsory |
| 4 | Level of Course: | First Cycle |
| 5 | Year of Study: | 1 |
| 6 | Semester: | 1 |
| 7 | ECTS Credits Allocated: | 5 |
| 8 | Theoretical (hour/week): | 3 |
| 9 | Practice (hour/week) : | 0 |
| 10 | Laboratory (hour/week) : | 0 |
| 11 | Prerequisites: | |
| 12 | Recommended optional programme components: | None |
| 13 | Language: | Turkish |
| 14 | Mode of Delivery: | Face to face |
| 15 | Course Coordinator: | Prof. Dr. İSMAİL NACİ CANGÜL |
| 16 | Course Lecturers: | Matematik bölümünün tüm öğretim üyesi ve öğretim görevlileri |
| 17 | Contactinformation of the Course Coordinator: |
E-posta: cangul@uludag.edu.tr Telefon: +90 224 2941756 Adres: Uludağ Üniversitesi Fen-Edebiyat Fakültesi Matematik Bölümü 16059 Görükle-Bursa-TÜRKİYE |
| 18 | Website: | |
| 19 | Objective of the Course: | |
| 20 | Contribution of the Course to Professional Development |
| 21 | Learning Outcomes: |
|
| 22 | Course Content: |
| Week | Theoretical | Practical |
| 1 | functions, special functions, trigonometric functions | |
| 2 | inverse trigonometric functions, exponential and logarithmic functions | |
| 3 | equations and inequalities | |
| 4 | limit of functions, limit theorems, limits of polynomials, special functions, exponential, logarithmic, trigonometric and inverse trigonometric functions | |
| 5 | indeterminates and l'hospital rule | |
| 6 | continuity of functions, types of discontinuity and removal of discontinuity | |
| 7 | definition of derivative, fundamental derivative theorems, geometric meaning of derivative, tangent and normal equations | |
| 8 | derivatives of sum, product and quotients, powers, chain rule | |
| 9 | implicit derivative, derivative of the inverse function, derivatives of exponential and logarithmic functions | |
| 10 | derivatives of trigonometric functions, derivatives of inverse trigonometric functions | |
| 11 | Physical meaning of derivative and its applications | |
| 12 | Rolle theorem, intermediate value theorem, optimization problems | |
| 13 | differential and linearization, Newton method | |
| 14 | drawing curves of rational functions by means of derivative |
| 23 | Textbooks, References and/or Other Materials: | |
| 24 | Assesment |
| TERM LEARNING ACTIVITIES | NUMBER | PERCENT |
| Midterm Exam | ||
| Quiz | ||
| Homeworks, Performances | ||
| Final Exam | ||
| Total | ||
| Contribution of Term (Year) Learning Activities to Success Grade | ||
| Contribution of Final Exam to Success Grade | ||
| Total | ||
| Measurement and Evaluation Techniques Used in the Course | ||
| Information | ||
| 25 | ECTS / WORK LOAD TABLE |
| Activites | NUMBER | TIME [Hour] | Total WorkLoad [Hour] |
| Theoretical | |||
| Practicals/Labs | |||
| Self Study and Preparation | |||
| Homeworks, Performances | |||
| Projects | |||
| Field Studies | |||
| Midtermexams | |||
| Others | |||
| Final Exams | |||
| Total WorkLoad | |||
| Total workload/ 30 hr | |||
| ECTS Credit of the Course |
| 26 | CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS | |
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| LO: Learning Objectives | PQ: Program Qualifications |
| Contribution Level: | 1 Very Low | 2 Low | 3 Medium | 4 High | 5 Very High |