Code |
Name of the Course Unit |
Semester |
In-Class Hours (T+P) |
Credit |
ECTS Credit |
MAT203 |
DIFFERENTIAL EQUATIONS |
4 |
4 |
3 |
5 |
GENERAL INFORMATION |
Language of Instruction : |
Turkish |
Level of the Course Unit : |
BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle |
Type of the Course : |
Compulsory |
Mode of Delivery of the Course Unit |
- |
Coordinator of the Course Unit |
Prof. OSMAN KOPMAZ |
Instructor(s) of the Course Unit |
|
Course Prerequisite |
No |
OBJECTIVES AND CONTENTS |
Objectives of the Course Unit: |
To teach definition of differential, general solution of differential equations, solution methods and applications of differentials |
Contents of the Course Unit: |
Definition of Differential, General Solution of Differential Equations, Solution Methods and Applications of Differentials |
KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to) |
Define differential equations, know the properties and classify |
Can perform general solution of a differential equation. |
Know exact differential equations and solve it. |
Solve differential equations using integral factor. |
Know higher-order differential equations and its applications. |
WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY |
Week |
Preparatory |
Topics(Subjects) |
Method |
1 |
- |
Giving Information About the Subjects and Methods of Teaching |
- |
2 |
- |
Definition of Derivative and Differential. Appling First Degree General Differential I
Equations. |
- |
3 |
- |
Integral Methods Used in Differential Equations |
- |
4 |
- |
Order and Degree of Differential Equations, Classification of Differential Equations |
- |
5 |
- |
Solution Steps and Solution of A Differential Equation. |
- |
6 |
- |
Differential Equations and Solutions That Can Be Separated into Their Variables. |
- |
7 |
- |
Exact Differential Equations and General Solutions. |
- |
8 |
- |
MID-TERM EXAM |
- |
9 |
- |
Linear Differential Equations and General Solutions |
- |
10 |
- |
Using Linear Differential Equations in Solving Technical Problems |
- |
11 |
- |
Type of Homogeneous Differential Equations |
- |
12 |
- |
Constant Coefficient Homogeneous Differential Equations and Solutions |
- |
13 |
- |
Solutions of Differential Equations with Integral Factor |
- |
14 |
- |
Solutions of High Order Differential Equations |
- |
15 |
- |
Final EXAM |
- |
16 |
- |
FINAL EXAM |
- |
17 |
- |
FINAL EXAM |
- |
SOURCE MATERIALS & RECOMMENDED READING |
Diferansiyel Denklemler, Prof.Dr.Mustafa Bayram, Birsen Yayınevi, İstanbul, 2010 |
“Essentials of Ordinary Differential Equations” by R P Agarwal and R Gupta |
Diferensiyel Denklemlerin Temelleri, Prof.Dr.Ogün Doğru, NOBEL Akademik Yayıncılık, Ankara, 2013 |
Fundamentals of Differential Equations, R. Kent Nagle, Edward B. Saff, Arthur David Snider, Addison Wesley, New York, 1986 |
ASSESSMENT |
Assessment & Grading of In-Term Activities |
Number of Activities |
Degree of Contribution (%) |
Description |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
CONTRIBUTION OF THE COURSE UNIT TO THE PROGRAMME LEARNING OUTCOMES
KNOWLEDGE |
Theoretical |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to apply mathematics, science and engineering knowledge.
|
|
|
|
|
|
5 |
KNOWLEDGE |
Factual |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to apply mathematics, science and engineering knowledge.
|
|
|
|
|
|
5 |
SKILLS |
Cognitive |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to design experiments, conduct experiments, collect data, analyze and interpret results.
|
0 |
|
|
|
|
|
SKILLS |
Practical |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
A system, product or process has economic, environmental, social, political, ethical, health and safety,
under realistic constraints and conditions such as feasibility and sustainability,
Ability to design to meet requirements.
|
|
1 |
|
|
|
|
OCCUPATIONAL |
Autonomy & Responsibility |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to work in teams with different disciplines
|
|
1 |
|
|
|
|
OCCUPATIONAL |
Learning to Learn |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to identify, formulate and solve engineering problems
|
|
|
|
|
4 |
|
OCCUPATIONAL |
Communication & Social |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Awareness of having professional and ethical responsibilities.
|
|
1 |
|
|
|
|
2 |
Ability to communicate effectively verbally and in writing.
|
|
1 |
|
|
|
|
OCCUPATIONAL |
Occupational and/or Vocational |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
The ability to have a comprehensive education to understand the impact of engineering solutions on global and social dimensions.
|
|
1 |
|
|
|
|
2 |
Awareness of the necessity of lifelong learning and the ability to do so.
|
0 |
|
|
|
|
|
3 |
The ability to have knowledge about current/contemporary issues.
|
|
1 |
|
|
|
|
4 |
Ability to use the techniques required for engineering applications and modern engineering and calculation equipment.
|
|
|
|
3 |
|
|
WORKLOAD & ECTS CREDITS OF THE COURSE UNIT |
Workload for Learning & Teaching Activities |
Type of the Learning Activites |
Learning Activities (# of week) |
Duration (hours, h) |
Workload (h) |
Lecture & In-Class Activities |
14 |
3 |
42 |
Preliminary & Further Study |
14 |
3 |
42 |
Land Surveying |
0 |
0 |
0 |
Group Work |
0 |
0 |
0 |
Laboratory |
0 |
0 |
0 |
Reading |
3 |
4 |
12 |
Assignment (Homework) |
6 |
5 |
30 |
Project Work |
0 |
0 |
0 |
Seminar |
0 |
0 |
0 |
Internship |
0 |
0 |
0 |
Technical Visit |
0 |
0 |
0 |
Web Based Learning |
0 |
0 |
0 |
Implementation/Application/Practice |
0 |
0 |
0 |
Practice at a workplace |
0 |
0 |
0 |
Occupational Activity |
0 |
0 |
0 |
Social Activity |
0 |
0 |
0 |
Thesis Work |
0 |
0 |
0 |
Field Study |
0 |
0 |
0 |
Report Writing |
0 |
0 |
0 |
Final Exam |
1 |
1 |
1 |
Preparation for the Final Exam |
0 |
0 |
0 |
Mid-Term Exam |
1 |
1 |
1 |
Preparation for the Mid-Term Exam |
0 |
0 |
0 |
Short Exam |
0 |
0 |
0 |
Preparation for the Short Exam |
0 |
0 |
0 |
TOTAL |
39 |
0 |
128 |
|
Total Workload of the Course Unit |
128 |
|
|
Workload (h) / 25.5 |
5 |
|
|
ECTS Credits allocated for the Course Unit |
5,0 |
|