1 | Course Title: | ANALYSIS II |
2 | Course Code: | İMÖ1004 |
3 | Type of Course: | Compulsory |
4 | Level of Course: | First Cycle |
5 | Year of Study: | 1 |
6 | Semester: | 2 |
7 | ECTS Credits Allocated: | 4 |
8 | Theoretical (hour/week): | 2 |
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. Muhamed Emin ÖZDEMİR |
16 | Course Lecturers: | |
17 | Contactinformation of the Course Coordinator: | ozdemir@uludag.edu.tr, 0224 2942179, Eğitim Fakültesi, İlköğretim Bölümü, 16059, Görükle / Bursa |
18 | Website: | |
19 | Objective of the Course: | To teach the concepts of integral in secondary education in detail and to teach them with applications, to be able to make series, series and force series concepts and series expansions of functions |
20 | Contribution of the Course to Professional Development | To provide a foundation for higher mathematics |
21 | Learning Outcomes: |
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22 | Course Content: |
Week | Theoretical | Practical |
1 | Definite indefinite integral and basic concepts | |
2 | Simple integration rules. Examples | |
3 | Changing variables. Examples | |
4 | Partial integration. Examples | |
5 | Separation by simple fractions. Examples | |
6 | Trigonometric transformations. Examples | |
7 | Binomial integrals, fundamental theorems of integral. Examples | |
8 | An overview. | |
9 | Midterm | |
10 | Definition of definite integral and basic concepts | |
11 | Lower and upper sums, Riemann integral | |
12 | Variable replacement, partial integration and so on. | |
13 | Spring length and Area account | |
14 | Area and volume of rotary surfaces |
23 | Textbooks, References and/or Other Materials: |
1. Lesson Notes 2. Prof. Dr. Ahmet A. KARADENİZ Yüksek Matematik. Cilt 1, 2. 4. Baskı, 1985. 3. Prof. Dr. Mustafa BALCI, Analiz 1,2. 7. Baskı, 2008. 4. Calculus, Robert A. Adams, library an archieves canada cataloguing in publications, 2006. 5. Prof Dr. Ekrem Kadıoğlu ve Prof. Dr. Muhammed Kamali Genel Matematik. 6. Baskı, 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 | Exam | |
Information | Exam |
25 | ECTS / WORK LOAD TABLE |
Activites | NUMBER | TIME [Hour] | Total WorkLoad [Hour] |
Theoretical | 14 | 2 | 28 |
Practicals/Labs | 0 | 0 | 0 |
Self Study and Preparation | 14 | 6 | 84 |
Homeworks, Performances | 0 | 0 | 0 |
Projects | 0 | 0 | 0 |
Field Studies | 0 | 0 | 0 |
Midtermexams | 1 | 1 | 1 |
Others | 0 | 0 | 0 |
Final Exams | 1 | 1 | 1 |
Total WorkLoad | 114 | ||
Total workload/ 30 hr | 3,8 | ||
ECTS Credit of the Course | 4 |
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 |