| Course Name: | MATHEMATICAL ANALYSIS II |
| Code | Course type | Regular Semester | Theoretical | Practical | Credits | ECTS |
| MATH 318 | 2 | 6 | 3 | - | 3 | 4 |
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| Name of Lecturer(s)-Academic Title: | Orhan Tuğ - MSc |
| Teaching Assistant: | - |
| Course Language: | English |
| Course Type: | Main |
| Office Hours | 14:30-16:30, Tuesday
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| Contact Email: | [email protected]
Tel:07501644439
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| Teacher's academic profile: | Asst Lecturer
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| Course Objectives: | This course aims to contribute deeply analysis of calculus and some additional subjects that students will teach directly after graduate. Moreover this course aims to give a chance to our students to compare the theory and applications which will be used in other sciences and daily life. |
| Course Description (Course overview): | Rules of Differentiation, The mean value theorem, integration, Reiman integral, fundamental theorem of calculus, power series, Taylor’s theorem and their analysis |
COURSE CONTENT| Week | Hour | Date | Topic | | 1 |
3 |
3-7/2/2019 |
Advanced Convergence tests of the series | | 2 |
3 |
10-14/2/2019 |
Introduction to Limit and recall the contents |
| | 3 |
3 |
17-21/2/2019 |
Continuity of functions and properties | | 4 |
3 |
24-28/2/2019 |
Differential calculus I |
| | 5 |
3 |
3-7/3/2019 |
Differential calculus II | | 6 |
3 |
26-28/3/2019 |
Differential calculus III |
| | 7 |
3 |
31/3-4/4/2019 |
Advanced application of differentiation I | | 8 |
3 |
7-11/4/2019 |
Midterm Exam |
| | 9 |
3 |
14-18/4/2019 |
Midterm Exam | | 10 |
3 |
21-25/4/2019 |
Integral Calculus I |
| | 11 |
3 |
28/4-2/5/2019 |
Integral Calculus II | | 12 |
3 |
5-9/5/2019 |
Riemann integral |
| | 13 |
3 |
12-16/5/2019 |
Lebesgue integral | | 14 |
3 |
19-23/5/2019 |
Advanced Application of Integration |
| | 15 |
3 |
26-30/5/2019 |
Introduction to Measure Theory | | 16 |
3 |
9-13/6/2019 |
Final Exam |
| | 17 |
3 |
16-20/6/2019 |
Final Exam |
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COURSE/STUDENT LEARNING OUTCOMES | | | 1 | student will be able to learn and analyze continuity of functions and properties | | 2 | students will be able to realize and differentiate differentiable functions and properties | | 3 | students will be able to learn and teach Riemann integral and Lebesgue integral |
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COURSE'S CONTRIBUTION TO PROGRAM OUTCOMES
(Blank : no contribution, I: Introduction, P: Profecient, A: Advanced ) | Program Learning Outcomes |
Cont. | | 1 | Demonstrate an understanding of the common body of knowledge in mathematics. | A | | 2 | Demonstrates an understanding of pedagogical content knowledge, technology and perfectible assessment. | I | | 3 | Demonstrate the ability to think critically, research scientifically, and become modern and up-to-date. | P | | 4 | Understands the interrelationship of human development, cognition, and culture and their impact on learning. | | | 5 | Demonstrate the ability to apply analytical and theoretical skills to model and solve mathematical problems. | A | | 6 | Demonstrate the ability to effectively use a variety of teaching technologies and techniques and classroom strategies to positively influence student learning. | | | 7 | Understands how to form connections among educators, families, and the larger community to promote equity and access to education for his/her students. | | | 8 | Understands assessment and evaluation of student performance and learning and program effectiveness. | | | 9 | Communicates effectively and works collaboratively within the context of a global society. | |
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| Prerequisites (Course Reading List and References): | Advanced Calculus II |
| Student's obligation (Special Requirements): | students are obligated to bring course materials and to take note during the class. The usage any kind of electronic devices are not allowed during the lecture. |
| Course Book/Textbook: | Mathematical Analysis, A coincide introduction, by Bernd S.W. Schröder |
| Other Course Materials/References: | Lecture notes and PPTs |
| Teaching Methods (Forms of Teaching): | Lectures, Practical Sessions, Excersises, Presentation, Assignments, Demonstration |
COURSE EVALUATION CRITERIA
| Method | Quantity |
Percentage (%) | | Participation | 1 | 5 | | Quiz | 2 | 10 | | Homework | 3 | 5 | | Midterm Exam(s) | 1 | 20 | | Final Exam | 1 | 40 |
| Total | 100 |
Examinations: Essay Questions, True-False, Fill in the Blanks, Multiple Choices, Short Answers, Matching |
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Extra Notes:
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ECTS (ALLOCATED BASED ON STUDENT) WORKLOAD| Activities | Quantity | Duration (Hour) | Total Work Load | | Contact Hours (Theoretical hours + Practical hours/2) x Weeks | 14 | 3 | 42 | | Hours for off-the-classroom study | 14 | 1 | 14 | | Study hours for the Midterm Exam | 8 | 4 | 32 | | Study hours for the Final Exam | 1 | 8 | 8 | | Other | | | 0 | | ECTS | 4 | | 0 | | | | 0 | | | | 0 | | Total Workload | 96 | | ECTS Credit (Total workload/25) | 3.84 |
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