ENERGY SYSTEMS OPERATION AND TECHNOLOGY (ENGLISH, THESIS) | |||||
Master | TR-NQF-HE: Level 7 | QF-EHEA: Second Cycle | EQF-LLL: Level 7 |
Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
MAT5101 | Engineering Mathematics | Fall Spring |
3 | 0 | 3 | 8 |
The course opens with the approval of the Department at the beginning of each semester |
Language of instruction: | Tr |
Type of course: | Departmental Elective |
Course Level: | |
Mode of Delivery: | Face to face |
Course Coordinator : | Prof. Dr. MESUT EROL SEZER |
Course Lecturer(s): |
Dr. Öğr. Üyesi CAVİT FATİH KÜÇÜKTEZCAN |
Course Objectives: | To equip the student with advanced topics of vector calculus and complex calculus. |
The students who have succeeded in this course; The student will be able to understand differences and similarities of fundamental mathematical concepts as they apply to functions of a single variable or several variables, and to apply concepts of advanced calculus and complex calculus to engineering problems |
Vector differential and integral calculus, and applications. Complex calculus and applications. Fourier series and Fourier transform. |
Week | Subject | Related Preparation | |
1) | Review of single-variable calculus. | ||
2) | Functions of several variables. Partial derivatives, differentials, implicit functions, Jacobian. | ||
3) | Vector functions. Gradient, divergence, curl and Laplacian. Directional derivative. | ||
4) | Maxima and minima, Lagrange multipliers. | ||
5) | Multiple integrals. Line integrals, Green's theorem. | ||
6) | Surface integrals, the divergence theorem, Stoke's theorem. | ||
7) | Cylindrical and spherical coordinates. | ||
8) | Applications of vector calculus. | ||
9) | Functions of a complex variable. Continuity and differentiation. | ||
10) | Complex integration. Cauchy's theorem and integral formula. | ||
11) | Taylor and Laurent series. Poles and residues. | ||
12) | Conformal mapping and applications. | ||
13) | Fourier series. | ||
14) | Fourier transform. |
Course Notes: | |
References: | 1. D. Bachman, Advanced Calculus Demystified, McGraw-Hill, 2007. 2. F. J. Flanigan, Complex Variables, Dover, 1983. |
Semester Requirements | Number of Activities | Level of Contribution |
Attendance | 15 | % 15 |
Laboratory | % 0 | |
Application | % 0 | |
Field Work | % 0 | |
Special Course Internship (Work Placement) | % 0 | |
Quizzes | % 0 | |
Homework Assignments | 5 | % 15 |
Presentation | % 0 | |
Project | % 0 | |
Seminar | % 0 | |
Midterms | 1 | % 30 |
Preliminary Jury | % 0 | |
Final | 1 | % 40 |
Paper Submission | % 0 | |
Jury | % 0 | |
Bütünleme | % 0 | |
Total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 60 | |
PERCENTAGE OF FINAL WORK | % 40 | |
Total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 14 | 3 | 42 |
Laboratory | 0 | 0 | 0 |
Application | 0 | 0 | 0 |
Special Course Internship (Work Placement) | 0 | 0 | 0 |
Field Work | 0 | 0 | 0 |
Study Hours Out of Class | 14 | 7 | 98 |
Presentations / Seminar | 0 | 0 | 0 |
Project | 0 | 0 | 0 |
Homework Assignments | 5 | 5 | 25 |
Quizzes | 0 | 0 | 0 |
Preliminary Jury | 0 | ||
Midterms | 1 | 10 | 10 |
Paper Submission | 0 | ||
Jury | 0 | ||
Final | 1 | 15 | 15 |
Total Workload | 190 |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Have sufficient theoretical background in mathematics, basic sciences and other related engineering areas and to be able to use this background in the field of energy systems engineering. | |
2) | Be able to identify, formulate and solve energy systems engineering-related problems by using state-of-the-art methods, techniques and equipment. | |
3) | Be able to design and do simulation and/or experiment, collect and analyze data and interpret the results. | |
4) | Be able to access information, to do research and use databases and other information sources. | |
5) | Have an aptitude, capability and inclination for life-long learning. | |
6) | Be able to take responsibility for him/herself and for colleagues and employees to solve unpredicted complex problems encountered in practice individually or as a group member. | |
7) | Develop an understanding of professional and ethical responsibility. | |
8) | Develop an ability to apply the fundamentals of engineering mathematics and sciences into the field of energy conversion. | |
9) | Develop an understanding of the obligations for implementing sustainable engineering solutions. | |
10) | Develop an ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability | |
11) | Realize all steps of a thesis or a project work, such as literature survey, method developing and implementation, classification and discussion of the results, etc. |