Information Package & Course Catalogue
| 1 | Course Title: | CALCULUS I |
| 2 | Course Code: | MAT1071 |
| 3 | Type of Course: | Compulsory |
| 4 | Level of Course: | First Cycle |
| 5 | Year of Study: | 1 |
| 6 | Semester: | 1 |
| 7 | ECTS Credits Allocated: | 6 |
| 8 | Theoretical (hour/week): | 3 |
| 9 | Practice (hour/week) : | 2 |
| 10 | Laboratory (hour/week) : | 0 |
| 11 | Prerequisites: | None |
| 12 | Recommended optional programme components: | None |
| 13 | Language: | English |
| 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: | is to give sufficient mathematics knowledge to solve engineering problems to students and also to improve the ability of finding solution to problems and analytical thinking. |
| 20 | Contribution of the Course to Professional Development |
| 21 | Learning Outcomes: |
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| 22 | Course Content: |
| Week | Theoretical | Practical |
| 1 | Numbers,Functions. | Solving problems |
| 2 | Cartesian Plane, circle | Solving problems |
| 3 | Ellipse, parabola, hyperbola | Solving problems |
| 4 | The definition of limit and rules of limit, continuity | Solving problems |
| 5 | The definition of derivative and derivation rules, the geometrical application of derivative, implicit derivative. | Solving problems |
| 6 | Derivative of some special functions | Solving problems |
| 7 | Change problems. | Solving problems |
| 8 | Midterm exam and evaluation of midterm exam, repeat of previous subjects | Solving problems |
| 9 | Increasing and decreasing functions. | Solving problems |
| 10 | The main value Theorem and its applications | Solving problems |
| 11 | Convexity, concavity, Curve sketching. | Solving problems |
| 12 | The maximum and minimum problems, polar coordinates. | Solving problems |
| 13 | Inverse functions, Derivative of inverse functions. | Solving problems |
| 14 | The exponential and logarithm functions and their applications. | Solving problems |
| 23 | Textbooks, References and/or Other Materials: |
1-A First Course in Calculus, Serge Lang, World Student Series Third Edition, Addison-Wesley Publishing Company, ISBN:0-201-04148-0 2-Thomas Calculus, 11.Edition,Pearson Addison-Wesley Publishing Company -2005 3) Temel Matematik, Basri Çelik, İsmail Naci Cangül, Nisa Çelik, Osman Bizim, Metin Öztürk; Dora Yayınları, 2010 4) Genel Matematik, Mustafa Balcı, Balcı yayınları, 2003. 5) Genel Matematik (Diferensiyel ve İntegral Hesap), Ahmet Tekcan, Betül Gezer, Osman Bizim; Dora Yayınları, 2011 |
| 24 | Assesment |
| TERM LEARNING ACTIVITIES | NUMBER | PERCENT |
| Midterm Exam | 1 | 40 |
| Quiz | 0 | 0 |
| Homeworks, Performances | 0 | 0 |
| Final Exam | 1 | 60 |
| Total | 2 | 100 |
| Contribution of Term (Year) Learning Activities to Success Grade | 40 | |
| Contribution of Final Exam to Success Grade | 60 | |
| Total | 100 | |
| Measurement and Evaluation Techniques Used in the Course | ||
| Information | ||
| 25 | ECTS / WORK LOAD TABLE |
| Activites | NUMBER | TIME [Hour] | Total WorkLoad [Hour] |
| Theoretical | 14 | 3 | 42 |
| Practicals/Labs | 14 | 2 | 28 |
| Self Study and Preparation | 14 | 2 | 28 |
| Homeworks, Performances | 0 | 0 | 0 |
| Projects | 0 | 0 | 0 |
| Field Studies | 0 | 0 | 0 |
| Midtermexams | 1 | 13 | 13 |
| Others | 14 | 4 | 56 |
| Final Exams | 1 | 13 | 13 |
| Total WorkLoad | 180 | ||
| Total workload/ 30 hr | 6 | ||
| ECTS Credit of the Course | 6 |
| 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 |