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DIFFERENTIAL EQUATIONS PROGRAMME COURSE DESCRIPTION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MAT203 DIFFERENTIAL EQUATIONS 3 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 Assist.Prof. BİNNUR AKIF
Instructor(s) of the Course Unit Assist.Prof. BAHADIR KOPÇASIZ-Assist.Prof. FERHAT KÜRÜZ-Assoc.Prof. GÜLSÜM YELİZ SAÇLI
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
Gain sufficient knowledge in Mathematics, Science and Industrial Engineering.
5

KNOWLEDGE

Factual

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Analyzes and evaluates existing application areas in the field of Industrial Engineering and develops applications for their solutions.
3

SKILLS

Cognitive

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Analyzes a system, the components of that system, the process of that system, and designs the system by examining it in line with realistic constraints and goals.
3
2
Gains the ability to model and solve engineering problems.
2

SKILLS

Practical

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Identifies the problems that may be encountered in the field of industrial engineering and acquires the ability to choose and apply the appropriate method to be used in problem solving.
3
2
Selects and uses technical tools necessary for industrial engineering applications; uses information technologies effectively.
4
3
Designs experiments, conducts experiments, collects data, analyzes and interprets the results to examine problems in the field of industrial engineering.
2

OCCUPATIONAL

Autonomy & Responsibility

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Gains the ability to work effectively within a team.
4
2
Works effectively individually and takes responsibility.
3

OCCUPATIONAL

Learning to Learn

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Accesses the necessary information for a determined problem and searches for resources for this purpose.
4
2
Has the ability to follow all developments in the field of industrial engineering and constantly renew itself.
5

OCCUPATIONAL

Communication & Social

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Gains oral and written communication skills and speaks at least one foreign language.
1

OCCUPATIONAL

Occupational and/or Vocational

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Has awareness of professional and ethical responsibility.
3
2
Has knowledge about the universal and social effects of industrial engineering applications and reaches solutions by being aware of the importance of an innovative approach in solving engineering problems.
2

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