Code |
Name of the Course Unit |
Semester |
In-Class Hours (T+P) |
Credit |
ECTS Credit |
MTH215 |
DIFFERENTIAL EQUATIONS |
3 |
4 |
3 |
5 |
GENERAL INFORMATION |
Language of Instruction : |
English |
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 |
Assist.Prof. OĞUZHAN ÖZTAŞ |
Instructor(s) of the Course Unit |
Assist.Prof. SAJEDEH NOROZPOUR SIGAROODI |
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) |
The students who take the course will be able to;
I. Define differential equations, know the properties and classify.
II. Can perform general solution of a differential equation.
III. Know exact differential equations and solve it.
IV. Solve differential equations using integral factor.
V. Know higher-order differential equations and its applications. |
WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY |
Week |
Preparatory |
Topics(Subjects) |
Method |
1 |
Literature Research |
Giving Information About the Subjects and Methods of Teaching. |
Expression |
2 |
Literature Research |
Definition of Derivative and Differential. Appling First Degree General Differential
Equations. |
Expression |
3 |
Literature Research |
Integral Methods Used in Differential Equations |
Expression |
4 |
Literature Research |
Order and Degree of Differential Equations, Classification of Differential Equations |
Expression |
5 |
Literature Research |
Solution Steps and Solution of A Differential Equation |
Expression |
6 |
Literature Research |
Differential Equations and Solutions That Can Be Separated into Their Variables. |
Expression |
7 |
Literature Research |
Exact Differential Equations and General Solutions. |
Expression |
8 |
- |
MID-TERM EXAM |
- |
9 |
Literature Research |
Linear Differential Equations and General Solutions. |
Expression |
10 |
Literature Research |
Linear Differential Equations and It's Applications. |
Expression |
11 |
Literature Research |
Type of Homogeneous Differential Equations. |
Expression |
12 |
Literature Research |
Constant Coefficient Homogeneous Differential Equations and Solutions |
Expression |
13 |
Literature Research |
Solutions of Differential Equations with Integral Factor. |
Expression |
14 |
Literature Research |
Solutions of High Order Differential Equations. |
Expression |
15 |
Literature Research |
General Evaluation of the Course and Discussion. |
Expression |
16 |
- |
FINAL EXAM |
- |
17 |
- |
FINAL EXAM |
- |
SOURCE MATERIALS & RECOMMENDED READING |
Diferansiyel Denklemler, Prof.Dr.Mustafa Bayram, Birsen Yayınevi, İstanbul,
2010 |
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 |
Explains the fundamental engineering concepts of computer science and relates them to the groundwork of computer science.
|
|
|
|
|
|
|
KNOWLEDGE |
Factual |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Uses theoretical and practical knowledge coming from mathematics, probability, statistics and various other branches of life sciences, to find solutions to engineering problems.
|
|
|
|
|
|
|
SKILLS |
Cognitive |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Determines the components and the underlying process of a system and designs an appropriate computational model under reasonable constraints.
|
|
|
|
|
|
|
2 |
Designs a computer-aided conceptual model with modern techniques.
|
|
|
|
|
|
|
SKILLS |
Practical |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Determines, detects and analyzes the areas of computer science applications and develops appropriate solutions.
|
|
|
|
|
|
|
2 |
Identifies, models and solves computer engineering problems by applying appropriate analytical methods.
|
|
|
|
|
|
|
3 |
Determines and uses the necessary information technologies in an efficient way for engineering applications.
|
|
|
|
|
|
|
OCCUPATIONAL |
Autonomy & Responsibility |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Possess the responsibility and ability to design and conduct experiments for engineering problems by collecting, analyzing and interpreting data.
|
|
|
|
|
|
|
2 |
Possess the ability to conduct effective individual study.
|
|
|
|
|
|
|
3 |
Takes responsibility as a team work and contributes in an effective way.
|
|
|
|
|
|
|
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 |
4 |
56 |
Preliminary & Further Study |
14 |
1 |
14 |
Land Surveying |
0 |
0 |
0 |
Group Work |
0 |
0 |
0 |
Laboratory |
0 |
0 |
0 |
Reading |
0 |
0 |
0 |
Assignment (Homework) |
0 |
0 |
0 |
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 |
7 |
3 |
21 |
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 |
2 |
2 |
Preparation for the Final Exam |
1 |
20 |
20 |
Mid-Term Exam |
1 |
2 |
2 |
Preparation for the Mid-Term Exam |
1 |
15 |
15 |
Short Exam |
0 |
0 |
0 |
Preparation for the Short Exam |
0 |
0 |
0 |
TOTAL |
39 |
0 |
130 |
|
Total Workload of the Course Unit |
130 |
|
|
Workload (h) / 25.5 |
5,1 |
|
|
ECTS Credits allocated for the Course Unit |
5,0 |
|