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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 Prof. HAMDİ ALPER ÖZYİĞİT
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
Able to adopt math and science knowledge to the problems of Mechatronic Engineering.
5

KNOWLEDGE

Factual

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Can use the scientific methods to solve problems of Mechatronic Engineering.
3
2
Able to plan experiment, build hardware, collect data using modern devices and analyze data.
0

SKILLS

Cognitive

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Can define, scientize and solve the actual mechatronics problems.
3

SKILLS

Practical

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Use modern tools such as softwares in engineering design and analysis.
4

OCCUPATIONAL

Autonomy & Responsibility

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Prone to work in interdisciplinary teams and be a team leadership.
0

OCCUPATIONAL

Learning to Learn

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Able to find solutions that meet technical and economical expectations when designing a system with components.
0
2
Can approach with a global perspective to Mechatronics Engineering.
1
3
Able to keep up to date of self-awarness in the field.
2
4
Can follow academic and industrial developments related Mechatronics Engineering.
1

OCCUPATIONAL

Communication & Social

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Able to work in the field, interdisciplinary and multidisciplinary environments.
1
2
Have written and verbal communication skills in Turkish and English.
0

OCCUPATIONAL

Occupational and/or Vocational

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Have professional and ethical values and sensitive to these.
0
2
Sensitive to health and safety issues in Mechatronic Engineering.
0
3
Sensitive to social, environmental and economic factors in professional activities.
0

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