IMU703 - ADVANCED ENGINEERING MATHEMATICS
| Course Name | Code | Semester | Theory (hours/week) |
Application (hours/week) |
Credit | ECTS |
|---|---|---|---|---|---|---|
| ADVANCED ENGINEERING MATHEMATICS | IMU703 | Any Semester/Year | 3 | 0 | 3 | 10 |
| Prequisites | There are no prerequisites. | |||||
| Course language | English | |||||
| Course type | Elective | |||||
| Mode of Delivery | Face-to-Face | |||||
| Learning and teaching strategies | Lecture | |||||
| Instructor (s) | To be determined by the department | |||||
| Course objective | The aim of the course is to form a basis for the solution methods of partial differential equations. | |||||
| Learning outcomes |
| |||||
| Course Content | Mathematical and experimental modeling in engineering. Tensor analysis. Extrema of a function and functionals. Differential mathematical models and solution methods. Weighted residual methods. Perturbation methods. Integral equations. Finite difference method. Boundary integral method. Finite element method. | |||||
| References | Erwin Kreyszig, Advanced Engineering Mathematics, 10th ed., John Wiley & Sons Inc. | |||||
Course outline weekly
| Weeks | Topics |
|---|---|
| Week 1 | Mathematical and experimental modeling in engineering. |
| Week 2 | Tensor analysis |
| Week 3 | Tensor analysis |
| Week 4 | Extrema of a function and functionals |
| Week 5 | Differential mathematical models and solution methods |
| Week 6 | Midterm exam |
| Week 7 | Differential mathematical models and solution methods |
| Week 8 | Weighted residual methods |
| Week 9 | Perturbation methods. |
| Week 10 | Integral equations |
| Week 11 | Finite difference method |
| Week 12 | Midterm exam |
| Week 13 | Boundary integral method. |
| Week 14 | Finite element method. |
| Week 15 | Finite element method. |
| Week 16 | Final exam |
Assesment methods
| Course activities | Number | Percentage |
|---|---|---|
| Attendance | 0 | 0 |
| Laboratory | 0 | 0 |
| Application | 0 | 0 |
| Field activities | 0 | 0 |
| Specific practical training | 0 | 0 |
| Assignments | 0 | 0 |
| Presentation | 0 | 0 |
| Project | 0 | 0 |
| Seminar | 0 | 0 |
| Midterms | 2 | 60 |
| Final exam | 1 | 40 |
| Total | 100 | |
| Percentage of semester activities contributing grade succes | 2 | 60 |
| Percentage of final exam contributing grade succes | 1 | 40 |
| Total | 100 | |
WORKLOAD AND ECTS CALCULATION
| Activities | Number | Duration (hour) | Total Work Load |
|---|---|---|---|
| Course Duration (x14) | 14 | 3 | 42 |
| Laboratory | 0 | 0 | 0 |
| Application | 0 | 0 | 0 |
| Specific practical training | 0 | 0 | 0 |
| Field activities | 0 | 0 | 0 |
| Study Hours Out of Class (Preliminary work, reinforcement, ect) | 14 | 9 | 126 |
| Presentation / Seminar Preparation | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Homework assignment | 0 | 0 | 0 |
| Midterms (Study duration) | 2 | 24 | 48 |
| Final Exam (Study duration) | 1 | 24 | 24 |
| Total Workload | 31 | 60 | 240 |
Matrix Of The Course Learning Outcomes Versus Program Outcomes
| D.9. Key Learning Outcomes | Contrubition level* | ||||
|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |
| 1. Ability to use theoretical and applied knowledge in mathematics, science, and Civil Engineering fields in solving complex engineering problems. | X | ||||
| 2. Ability to identify, formulate and solve complex civil engineering problems. | X | ||||
| 3. Ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; can apply modern design methods. | X | ||||
| 4. Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications; can use information technologies effectively. | X | ||||
| 5. Ability to design, conduct experiments, collects data, analyze and interpret results for the study of complex engineering problems or research topics specific to Civil Engineering. | X | ||||
| 6. Ability to work individually and as a team in both intra and interdisciplinary. | X | ||||
| 7. Ability to communicate effectively, verbally and in writing; knows at least one foreign language, especially English; writes effective reports and understands written reports, can prepare design and production reports, make effective presentations, gives and receives clear and understandable instructions. | X | ||||
| 8. Awareness of the necessity of lifelong learning; can access information, follow the developments in science and technology and constantly renew yourself. | X | ||||
| 9. Acts in accordance with ethical principles, has knowledge of professional and ethical responsibility and standards used in engineering practices. | X | ||||
| 10. Knowledge of business practices such as project management, risk management, and change management; awareness of entrepreneurship, and innovation; information about sustainable development. | X | ||||
| 11. Knowledge of the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering; awareness of the legal consequences of engineering solutions. | X | ||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest