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DIFFERENTIAL EQUATIONS PROGRAMME COURSE DESCRIPTION

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