ISTANBUL OKAN UNIVERSITY INFORMATION PACKAGE / COURSE CATALOGUE
| PhD in Mechatronic Engineering (English) with a master's degree | |||||
| PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 | ||
General course introduction information
| Course Code: | MCHT621 | ||||||||
| Course Name: | Advanced Topics in Engineering Mathematics | ||||||||
| Course Semester: |
Fall Spring |
||||||||
| Course Credits: |
|
||||||||
| Language of instruction: | EN | ||||||||
| Course Requisites: | |||||||||
| Does the Course Require Work Experience?: | No | ||||||||
| Type of course: | Department Elective | ||||||||
| Course Level: |
|
||||||||
| Mode of Delivery: | Face to face | ||||||||
| Course Coordinator : | Assoc. Prof. ÖMER CİHAN KIVANÇ | ||||||||
| Course Lecturer(s): |
Prof. Dr. SEZGİN SEZER |
||||||||
| Course Assistants: |
Course Objective and Content
| Course Objectives: | The objective of this course is to give basic and advanced Mathematic information. |
| Course Content: | Calculation of differential and integration of vectors: Vector algebra , gradient, divergent, curl, line integral, Green’s Theorem , The Divergence theorem, Stokes’s theorem. Linear Vector Spaces: Linear Vector Space, Linear operators, vector space of finite dimension, matrix algebra, similarity transforms, eigenvectors and eigenfunctions of matrix, Orthogonal functions: Functions space, orthogonal polynomials, Legendre polynomials, spherical harmonics, Hermite polynomials, Laguerre polynomials, Bessel functions. Complex Functions: Complex numbers, complex functions, derivative of complex functions, concept of analytical function, Conditions of Cauchy-Riemann, Complex integral, Cauchy theorem,Formulas of Cauchy integral, series of complex functions, Laurent series, Residue theorem and its applications. Multiple functions and Riemann surfaces. Differential equations: Series method , power series method, Frobenius’s method, Legendre’s equation, Bessel’s equation, Hermite ‘s equation, Systems of Linear equations. |
Learning Outcomes
The students who have succeeded in this course;
|
||||||||||||||||||||||||||||||||||
Lesson Plan
| Week | Subject | Related Preparation |
| 1) | Calculation of differential and integration of vectors: Vector algebra , gradient, divergent, curl, line integral, Green’s Theorem | Course Notes |
| 2) | The Divergence theorem, Stokes’s theorem., | Course Notes |
| 3) | Linear Vector Spaces: Linear Vector Space, Linear operators, vector space of finite dimension, matrix algebra | Course Notes |
| 4) | Similarity transforms, eigenvectors and eigenfunctions of matrix | Course Notes |
| 5) | Orthogonal functions: Functions space, orthogonal polynomials, Legendre polynomials | Course Notes |
| 6) | Spherical harmonics, Hermite polynomials, Laguerre polynomials, Bessel functions | Course Notes |
| 7) | Complex Functions: Complex numbers, complex functions, derivative of complex functions | Course Notes |
| 8) | Concept of analytical function, Conditions of Cauchy-Riemann, Complex integral, Cauchy theorem | Course Notes |
| 9) | Formulas of Cauchy integral, series of complex functions, Laurent series | Course Notes |
| 10) | Residue theorem and its applications | Course Notes |
| 11) | Multiple functions and Riemann surfaces | Course Notes |
| 12) | Differential equations: Series method , power series method | Course Notes |
| 13) | Frobenius’s method, Legendre’s equation | Course Notes |
| 14) | Application | Course Notes |
Sources
| Course Notes / Textbooks: | Higher Engineering Mathematics 44th Edition |
| References: | Higher Engineering Mathematics 44th Edition |
Course-Program Learning Outcome Relationship
| Learning Outcomes | 1 |
2 |
3 |
|||
|---|---|---|---|---|---|---|
| Program Outcomes | ||||||
| 1) Knowledge and ability to apply the interdisciplinary synergetic approach of mechatronics to the solution of engineering problems | ||||||
| 2) Ability to design mechatronic products and systems using the mechatronics approach | ||||||
| 3) Knowledge and ability to analyze and develop existing products or processes with a mechatronics approach | ||||||
| 4) Ability to communicate effectively and teamwork with other disciplines | ||||||
| 5) Understanding of performing engineering in accordance with ethical principles | ||||||
| 6) Understanding of using technology with awareness of local and global socioeconomic impacts | ||||||
| 7) Approach to knowing and fulfilling the necessity of lifelong learning | ||||||
Course - Learning Outcome Relationship
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | Knowledge and ability to apply the interdisciplinary synergetic approach of mechatronics to the solution of engineering problems | |
| 2) | Ability to design mechatronic products and systems using the mechatronics approach | |
| 3) | Knowledge and ability to analyze and develop existing products or processes with a mechatronics approach | |
| 4) | Ability to communicate effectively and teamwork with other disciplines | |
| 5) | Understanding of performing engineering in accordance with ethical principles | |
| 6) | Understanding of using technology with awareness of local and global socioeconomic impacts | |
| 7) | Approach to knowing and fulfilling the necessity of lifelong learning |
Learning Activity and Teaching Methods
| Lesson | |
| Project preparation |
Assessment & Grading Methods and Criteria
| Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing) | |
| Individual Project |
Assessment & Grading
| Semester Requirements | Number of Activities | Level of Contribution |
| Project | 1 | % 50 |
| Final | 1 | % 50 |
| total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 50 | |
| PERCENTAGE OF FINAL WORK | % 50 | |
| total | % 100 | |
Workload and ECTS Credit Grading
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Project | 1 | 175 | 175 |
| Final | 1 | 80 | 80 |
| Total Workload | 297 | ||