1 | Course Title: | CALCULUS II |
2 | Course Code: | MAT1072 |
3 | Type of Course: | Compulsory |
4 | Level of Course: | First Cycle |
5 | Year of Study: | 1 |
6 | Semester: | 2 |
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 | The indefinite integral and its properties. | Examples of the indefinite integral. |
2 | Methods of indefinite integral | Examples of the methods of indefinite integral. |
3 | Applications of indefinite integral | Examples of the applications of indefinite integral. |
4 | The definite integral and its properties | Examples of the definite integral |
5 | Riemann sums, Riemann integral and its properties | Examples of the Riemann sums and Riemann integral |
6 | The fundamental theorems of integral calculus | Examples of the the fundamental theorems of integral calculus |
7 | The methods of numerical integral | Examples of the methods of numerical integral |
8 | The improper integral and its properties | Examples of the improper integral. |
9 | The applications of definite integral and area | Examples of the applications of definite integral |
10 | The volumes and length of a plane curve | Examples of the volumes and length of a plane curve |
11 | The area of surface of revolution, moments and center of mass | Examples of the area of surface of revolution, moments and center of mass |
12 | The sequences, series and their properties | Examples of the sequences and series |
13 | Tests for convergence of series, alternating series | Examples of the tests for convergence of series |
14 | The power series and representation of functions by power series. | Examples of the The power series and representation of functions by power series |
23 | Textbooks, References and/or Other Materials: |
Genel Matematik, Diferensiyel ve İntegral Hesap, O. Bizim, A. Tekcan, B. Gezer. Calculus Concepts and Contexts, J. S. Stewart Calculus and Analytic Geometry, G. B. Thomas, R. L. Finney |
24 | Assesment |
TERM LEARNING ACTIVITIES | NUMBER | PERCENT |
Midterm Exam | 2 | 50 |
Quiz | 0 | 0 |
Homeworks, Performances | 0 | 0 |
Final Exam | 1 | 50 |
Total | 3 | 100 |
Contribution of Term (Year) Learning Activities to Success Grade | 50 | |
Contribution of Final Exam to Success Grade | 50 | |
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 | 3 | 42 |
Homeworks, Performances | 0 | 0 | 0 |
Projects | 0 | 0 | 0 |
Field Studies | 0 | 0 | 0 |
Midtermexams | 2 | 7 | 14 |
Others | 1 | 21 | 21 |
Final Exams | 1 | 28 | 28 |
Total WorkLoad | 175 | ||
Total workload/ 30 hr | 5,83 | ||
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 |