Syllabus ( MATH 201 )
|
Basic information
|
|
Course title: |
Calculus III |
Course code: |
MATH 201 |
Lecturer: |
Assist. Prof. Samire YAZAR
|
ECTS credits: |
6 |
GTU credits: |
4 (4+0+0) |
Year, Semester: |
2, Fall |
Level of course: |
First Cycle (Undergraduate) |
Type of course: |
Compulsory
|
Language of instruction: |
English
|
Mode of delivery: |
Face to face
|
Pre- and co-requisites: |
None |
Professional practice: |
No |
Purpose of the course: |
Covering the selected topics from advanced calculus and Fourier Analysis to provide mathematical foundations for the future engineering courses. |
|
|
|
Learning outcomes
|
|
Upon successful completion of this course, students will be able to:
-
Recall fundamental math contents, methods and techniques
Contribution to Program Outcomes
-
Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
-
Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
Method of assessment
-
Written exam
-
Apply solution techniques to the fields of Engineering and Physics
Contribution to Program Outcomes
-
Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
-
Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
Method of assessment
-
Written exam
-
Conduct studies and researches in the fields of Engineering and Physics
Contribution to Program Outcomes
-
Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
-
Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
-
Ability to work in interdisciplinary research teams effectively.
Method of assessment
-
Written exam
|
|
Contents
|
|
Week 1: |
Vector and Scalar Fields, Gradient, Conservative Fields |
Week 2: |
Line Integrals, Independence of Path |
Week 3: |
Surface Integrals |
Week 4: |
Divergence and Curl |
Week 5: |
Green's Theorem and Its Applications |
Week 6: |
Divergence Theorem, Midterm I |
Week 7: |
Stokes Theorem |
Week 8: |
Fourier Series, Dirichlet Conditions |
Week 9: |
Fourier cosine and sine series, Half range series |
Week 10: |
Parseval's Identity, Midterm II |
Week 11: |
Differantiation and Integration of Fourier Series |
Week 12: |
Komplex Fourier Series |
Week 13: |
Fourier Integrals |
Week 14: |
An introduction to Fourier Transforms |
Week 15*: |
- |
Week 16*: |
Final exam |
Textbooks and materials: |
Schaums Outline of Advanced Calculus, Second Edition: Robert C. Wrede, Murray Spiegel / Paperback / McGraw-Hill Professional / March 2002. |
Recommended readings: |
Fourier Series: Georgi P. Tolstov, Richard A. Silverman (Translator) / Paperback / Dover Publications, Incorporated / November 1987 Genel Matematik 2 ve Matematik Analiz 2: Prof. Dr. Mustafa BALCI. Balcı Yayınları Ltd. |
|
* Between 15th and 16th weeks is there a free week for students to prepare for final exam.
|
|
|
|
Assessment
|
|
|
Method of assessment |
Week number |
Weight (%) |
|
Mid-terms: |
6,10 |
40 |
Other in-term studies: |
|
0 |
Project: |
|
0 |
Homework: |
|
0 |
Quiz: |
|
0 |
Final exam: |
16 |
60 |
|
Total weight: |
(%) |
|
|
|
Workload
|
|
|
Activity |
Duration (Hours per week) |
Total number of weeks |
Total hours in term |
|
Courses (Face-to-face teaching): |
3 |
14 |
|
Own studies outside class: |
3 |
14 |
|
Practice, Recitation: |
2 |
14 |
|
Homework: |
0 |
0 |
|
Term project: |
0 |
0 |
|
Term project presentation: |
0 |
0 |
|
Quiz: |
0 |
0 |
|
Own study for mid-term exam: |
10 |
2 |
|
Mid-term: |
4 |
2 |
|
Personal studies for final exam: |
12 |
1 |
|
Final exam: |
2 |
1 |
|
|
|
Total workload: |
|
|
|
Total ECTS credits: |
* |
|
* ECTS credit is calculated by dividing total workload by 25. (1 ECTS = 25 work hours)
|
|
|
-->