Course Name Code Semester T+U Hours Credit ECTS
Differential Equations MAT 211 3 4 + 0 4 6
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Doç.Dr. YALÇIN YILMAZ
Course Lecturers Doç.Dr. YALÇIN YILMAZ,
Course Assistants
Course Category Available Basic Education in the Field
Course Objective The general pourpose of this course is to provide an understanding of ordinary differential equations (ODEs), and to give methods for solving them. Because differential equations express relationships between changing quantities, this material is applicable to many fields, and is essential for students of engineering and physical sciences.
Course Content Basic concepts and classifying differential equations, First-order diffential equations and their engineering applications, Second and higher order differential equations and engineering applications, Power series solutions of linear equations with variable coefficients, Systems of linear differential equations: Scalar and Matrix methods, Laplace trasnformations, Numerical methods for ordinary differential equations.
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Define terminology which are widely employed in differential equations Lecture, Testing, Homework,
2 Verify that a given function is solution of a differential equation Lecture, Discussion, Testing, Homework,
3 Solve problems of ordinary differential equations and system of differential equations Problem Solving, Testing, Homework,
4 Apply knowledge of differential equations in order to solve real-world engineering problems Lecture, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Basic Concepts and Classifying Differential Equations
2 Solutions of First-Order Differential Equations, Linear First-Order Equations
3 Non-Linear First Order Equations, Separable and Exact First-Order Equations, Graphical Methods
4 Computer Methods for First-Order Equations, Engineering Applications of First-Order Differential Equations
5 Second-Order Linear Equations: Linear Independence, Homogeneous Equations with Constant Coefficients
6 Second-Order Linear Equations: Method of Undetermined Coefficients and Method of Variation of Parameters
7 Second-Order Euler Equation, Computer Methods ve Second Order Linear Equations
8 Engineering Applications of Second-Order Linear Equations
9 Higher-Order Linear Differential Equations
10 Linear Differential Equations with Variable Coefficients: Power Series Method
11 System of Linear Differential Equations: Scalar Methods
12 System of Linear Differential Equations: Matrix Methods
13 Laplace Transform Method
14 Introduction to Numerical Methods for First-Order Linear Equations
Resources
Course Notes Lecture Notes
Course Resources 1. Türker, E. S. ve Başarır, M., 2003, Çözümlü Problemlerle Diferansiyel Denklemler, Değişim Kitabevi, Sakarya.

2. Bronson, R.,1993, ( Turkish: Hilmi Hacısalihoğlu), Differantial Equations, Schaum´s Outlines, Nobel Kitabevi, Ankara.

3. Edwards, C. H.ve Penney, D. E., (Turkish: Ömer Akın) 2008, Differential Equations and Boundary Value Problems, Palme Yayıncılık.
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 X
2 X
3 X
4 X
5 X
6
7 X
8 X
9 X
10
11
12 X
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 70
1. Kısa Sınav 10
2. Kısa Sınav 10
3. Kısa Sınav 10
Total 100
1. Yıl İçinin Başarıya 60
1. Final 40
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 4 64
Hours for off-the-classroom study (Pre-study, practice) 16 4 64
Mid-terms 1 5 5
Quiz 2 5 10
Assignment 1 5 5
Final examination 1 5 5
Total Workload 153
Total Workload / 25 (Hours) 6.12
dersAKTSKredisi 6