Civil Engineering
Course Details
KTO KARATAY UNIVERSITY
Faculty of Engineering
Programme of Civil Engineering
Course Details
Faculty of Engineering
Programme of Civil Engineering
Course Details
| Course Code | Course Name | Year | Period | Semester | T+A+L | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| MAT412 | Differential Equations | 2 | Spring | 4 | 4+0+0 | 4 | 5 |
| Course Type | Compulsory |
| Course Cycle | Bachelor's (First Cycle) (TQF-HE: Level 6 / QF-EHEA: Level 1 / EQF-LLL: Level 6) |
| Course Language | English |
| Methods and Techniques | - |
| Mode of Delivery | Face to Face |
| Prerequisites | - |
| Coordinator | - |
| Instructor(s) | - |
| Instructor Assistant(s) | - |
Course Content
Introduction to differential equations. Ordinary linear differential equations. System of linear differential equations. First and second order differential equations, existence and uniqueness of solutions. First-order differential equations for which exact solutions are obtainable. Explicit Methods of solving higher-order linear differential equations: the methods of undetermined coefficients and variation of parameters, reduction of order. Series solutions of linear differential equations
Objectives of the Course
The course aims to teach the Differential Equations and its applications to the students.
Contribution of the Course to Field Teaching
| Basic Vocational Courses | |
| Specialization / Field Courses | |
| Support Courses | |
| Transferable Skills Courses | |
| Humanities, Communication and Management Skills Courses |
Weekly Detailed Course Contents
| Week | Topics |
|---|---|
| 1 | Introduction to differential equations. |
| 2 | Ordinary linear differential equations. |
| 3 | Ordinary linear differential equations. |
| 4 | System of linear differential equations. |
| 5 | System of linear differential equations. |
| 6 | First and second order differential equations, existence and uniqueness of solutions. |
| 7 | First and second order differential equations, existence and uniqueness of solutions. |
| 8 | First-order differential equations for which exact solutions are obtainable. |
| 9 | First-order differential equations for which exact solutions are obtainable. |
| 10 | Explicit Methods of solving higher-order linear differential equations: the methods of undetermined coefficients and variation of parameters, reduction of order. |
| 11 | Explicit Methods of solving higher-order linear differential equations: the methods of undetermined coefficients and variation of parameters, reduction of order. |
| 12 | Series solutions of linear differential equations |
| 13 | Series solutions of linear differential equations |
| 14 | Series solutions of linear differential equations |
Textbook or Material
| Resources | Schaum`s Outline of Differential Equations, R. Bronson and G. B. Costa, 3 rd edition. |
Evaluation Method and Passing Criteria
| In-Term Studies | Quantity | Percentage |
|---|---|---|
| Attendance | - | - |
| Laboratory | - | - |
| Practice | - | - |
| Homework | - | - |
| Presentation | - | - |
| Projects | - | - |
| Quiz | - | - |
| Midterms | - | - |
| Final Exam | - | - |
| Total | 0 (%) | |
ECTS / Working Load Table
| Quantity | Duration | Total Work Load | |
|---|---|---|---|
| Course Week Number and Time | 0 | 0 | 0 |
| Out-of-Class Study Time (Pre-study, Library, Reinforcement) | 0 | 0 | 0 |
| Midterms | 0 | 0 | 0 |
| Quiz | 0 | 0 | 0 |
| Homework | 0 | 0 | 0 |
| Practice | 0 | 0 | 0 |
| Laboratory | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Workshop | 0 | 0 | 0 |
| Presentation/Seminar Preparation | 0 | 0 | 0 |
| Fieldwork | 0 | 0 | 0 |
| Final Exam | 0 | 0 | 0 |
| Other | 0 | 0 | 0 |
| Total Work Load: | 0 | ||
| Total Work Load / 30 | 0 | ||
| Course ECTS Credits: | 0 | ||