ECTS - Advanced Engineering Mathematics
Advanced Engineering Mathematics (CE603) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| Advanced Engineering Mathematics | CE603 | 1. Semester | 3 | 0 | 0 | 3 | 5 |
| Pre-requisite Course(s) |
|---|
| N/A |
| Course Language | English |
|---|---|
| Course Type | Compulsory Departmental Courses |
| Course Level | Ph.D. |
| Mode of Delivery | |
| Learning and Teaching Strategies | . |
| Course Lecturer(s) |
|
| Course Objectives | The aim of this course is to develop an understanding about the structure, classification and solutions of partial differential equations, and to develop the ability to solve problems involving partial differential equations encountered in civil engineering. |
| Course Learning Outcomes |
The students who succeeded in this course;
|
| Course Content | Review of ordinary differential equations; Fourier series, Fourier integrals and Fourier transform; Sturm Liouville theory; special functions; separation of variables; applications involving partial differential equations such as wave, heat conduction, elasticity and plate bending. |
Weekly Subjects and Releated Preparation Studies
| Week | Subjects | Preparation |
|---|---|---|
| 1 | Review of ordinary differential equations | |
| 2 | Fourier series | |
| 3 | Fourier integral and Fourier transform | |
| 4 | Fourier integral and Fourier transform | |
| 5 | Sturm Liouville theorem | |
| 6 | Special functions | |
| 7 | Special functions | |
| 8 | Separation of variables | |
| 9 | Wave equation | |
| 10 | Heat conduction equation | |
| 11 | Laplace equation | |
| 12 | Partial differential equations and their solutions in mechanics | |
| 13 | Partial differential equations and their solutions in mechanics | |
| 14 | Partial differential equations and their solutions in mechanics | |
| 15 | Final exam period | |
| 16 | Final exam period |
Sources
| Course Book | 1. Advanced Engineering Mathematics, Erwin Kreyzig, John Wiley and Sons, 10th edition, 2011. |
|---|---|
| 2. Advanced Engineering Mathematics, Peter O’Neil, Cengage Learning, 8th edition, 2017. | |
| 3. Advanced Engineering Mathematics, Michael D. Greenberg, Pearson, 2nd edition, 1998. | |
| 4. Advanced Engineering Mathematics, K. A. Stroud, D. Booth, Red Globe Press, 6th edition, 2020. |
Evaluation System
| Requirements | Number | Percentage of Grade |
|---|---|---|
| Attendance/Participation | - | - |
| Laboratory | - | - |
| Application | - | - |
| Field Work | - | - |
| Special Course Internship | - | - |
| Quizzes/Studio Critics | - | - |
| Homework Assignments | 4 | 20 |
| Presentation | - | - |
| Project | - | - |
| Report | - | - |
| Seminar | - | - |
| Midterms Exams/Midterms Jury | 1 | 30 |
| Final Exam/Final Jury | 1 | 50 |
| Toplam | 6 | 100 |
| Percentage of Semester Work | |
|---|---|
| Percentage of Final Work | 100 |
| Total | 100 |
Course Category
| Core Courses | X |
|---|---|
| Major Area Courses | |
| Supportive Courses | |
| Media and Managment Skills Courses | |
| Transferable Skill Courses |
The Relation Between Course Learning Competencies and Program Qualifications
| # | Program Qualifications / Competencies | Level of Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | An ability to solve mathematically defined advanced engineering problems analytically. | X | ||||
| 2 | An ability to solve mathematically defined advanced engineering problems numerically. | |||||
| 3 | An ability to use the technology and the literature effectively in the civil engineering research domain. | X | ||||
| 4 | An ability to conduct qualitative research in civil engineering and publish articles in conferences and journals in the area. | X | ||||
| 5 | Ability to design and apply theoretical, experimental and modeling based researches; analyze and solve complex problems encountered in this process. | X | ||||
| 6 | To complete and apply knowledge by using scientific methods using uncertain, limited or incomplete data; use information from different disciplines. | X | ||||
ECTS/Workload Table
| Activities | Number | Duration (Hours) | Total Workload |
|---|---|---|---|
| Course Hours (Including Exam Week: 16 x Total Hours) | 16 | 3 | 48 |
| Laboratory | |||
| Application | |||
| Special Course Internship | |||
| Field Work | |||
| Study Hours Out of Class | 14 | 3 | 42 |
| Presentation/Seminar Prepration | |||
| Project | |||
| Report | |||
| Homework Assignments | 3 | 5 | 15 |
| Quizzes/Studio Critics | |||
| Prepration of Midterm Exams/Midterm Jury | 1 | 8 | 8 |
| Prepration of Final Exams/Final Jury | 1 | 13 | 13 |
| Total Workload | 126 | ||