Civil Engineering
Course Details
KTO KARATAY UNIVERSITY
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Civil Engineering
Course Details
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Civil Engineering
Course Details
| Course Code | Course Name | Year | Period | Semester | T+A+L | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| 99600007 | Differential Equations | 2 | Autumn | 3 | 4+0+0 | 4 | 6 |
| 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) | Asst. Prof. Nurten URLU ÖZALAN |
| Instructor Assistant(s) | - |
Course Instructor(s)
| Name and Surname | Room | E-Mail Address | Internal | Meeting Hours |
|---|---|---|---|---|
| Asst. Prof. Nurten URLU ÖZALAN | A-130 | [email protected] | 7880 |
Course Content
Basic theory and definitions. First order equations and their solutions. Higher order linear equations and solutions. Laplace transforms. Differential equation systems. Solutions of differential equations by matrix method.
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 | X |
| Transferable Skills Courses | |
| Humanities, Communication and Management Skills Courses |
Relationships between Course Learning Outcomes and Program Outcomes
| Relationship Levels | ||||
| Lowest | Low | Medium | High | Highest |
| 1 | 2 | 3 | 4 | 5 |
| # | Program Learning Outcomes | Level |
|---|---|---|
| P1 | Adequate knowledge in mathematics, science and related engineering discipline accumulation; theoretical and practical knowledge in these areas, complex engineering the ability to use in problems | 5 |
Course Learning Outcomes
| Upon the successful completion of this course, students will be able to: | |||
|---|---|---|---|
| No | Learning Outcomes | Outcome Relationship | Measurement Method ** |
| O1 | Know the applications of mathematics in engineering | P.1.49 | 1 |
| O2 | Know the differential equations with solution methods and applications in engineering | P.1.50 | 1 |
| ** Written Exam: 1, Oral Exam: 2, Homework: 3, Lab./Exam: 4, Seminar/Presentation: 5, Term Paper: 6, Application: 7 | |||
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 | 1 | 40 (%) |
| Final Exam | 1 | 60 (%) |
| Total | 100 (%) | |
ECTS / Working Load Table
| Quantity | Duration | Total Work Load | |
|---|---|---|---|
| Course Week Number and Time | 14 | 4 | 56 |
| Out-of-Class Study Time (Pre-study, Library, Reinforcement) | 14 | 4 | 56 |
| Midterms | 1 | 30 | 30 |
| Quiz | 0 | 0 | 0 |
| Homework | 4 | 3 | 12 |
| 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 | 1 | 30 | 30 |
| Other | 0 | 0 | 0 |
| Total Work Load: | 184 | ||
| Total Work Load / 30 | 6,13 | ||
| Course ECTS Credits: | 6 | ||
Course - Learning Outcomes Matrix
| Relationship Levels | ||||
| Lowest | Low | Medium | High | Highest |
| 1 | 2 | 3 | 4 | 5 |
| # | Learning Outcomes | P1 |
|---|---|---|
| O1 | Know the applications of mathematics in engineering | 5 |
| O2 | Know the differential equations with solution methods and applications in engineering | 5 |