Course Information


Course Information
Course Title Code Semester L+U Hour Credits ECTS
DIFFERENTIAL EQUATIONS MAT210 4. Semester 3 + 0 3.0 5.0

Prerequisites None

Language of Instruction Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Mode of delivery
Course Coordinator
Instructors
Assistants
Goals Introduction to differential equations, Calculation of exact solutions of linear and non-linear differential equations, solving some of the problems encountered in physics, chemistry and biology with the help of differential equations
Course Content Classification of differential equations, Homogen differential equations, Exact differential equations, Linear, Bernoulli and Riccati equations Initial and boundary value problems Applications of differential equations Higher order linear with constant coefficient homogen equations Undetermined parameters method Operator and variation of parameters methods, Euler Differential Equation.
Learning Outcomes 1) Classifies the differential equations.
2) Solves homogeneous differential equations and exact differential equations.
3) Finds the solutions of linear, Bernoulli and Riccati equations
4) Recognizes the initial and boundary value problems.
5) Examines the theory of higher order linear equations.
6) Finds the general solution of high-order linear homogeneous equations with constant coefficients.
7) Calculates the particular solutions using the method of undetermined coefficients, short methods and variation of parameters.
8) Solves the Euler equation.
9) Finds solutions of high order linear differential equations with variable coefficient
10) Solves high order non-linear equations.

Weekly Topics (Content)
Week Topics Teaching and Learning Methods and Techniques Study Materials
1. Week Classification of Differential Equations, Initial Value Problems, Boundary Value Problems Lecture

Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
2. Week First Order Differential Equations (Separable, Homogeneous) Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
3. Week Exact differential equations, Integrating factor Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
4. Week Integrating Factor, First order linear equations Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
5. Week Bernoulli equations Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
6. Week Applications of first order equations: Geometrical problems, Growth and decay problems (population) Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
7. Week Temperature problems, Mixture problems Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
8. Week Riccati Differential equation, Change of variables. Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
9. Week Higher order linear differential equations Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
10. Week 2nd order homogeneous constant coefficient linear equations Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
11. Week The Method of undetermined coefficients Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
12. Week The operator method Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
13. Week , The Method of variation of parameters Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
14. Week Euler Differential Equation Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)

Sources Used in This Course
Recommended Sources
C. Henry Edwards, David E. Penney, Differential Equations and Boundary Value Problems 2005, Pearson.
Mark Krusemeyer, Differential Equations 1994, Macmillan Publishing
Richard Bronson, Gabriel Costa, Differential Equations 2006, Schaum’s Outlines
Shepley L. Ross, Differential Equations 1984, John Wiley and Sons

Relations with Education Attainment Program Course Competencies
Program RequirementsContribution LevelDK1DK2DK3DK4DK5DK6DK7DK8DK9DK10
PY150000000000
PY250000000000
PY350000000000
PY450000000000

*DK = Course's Contrubution.
0 1 2 3 4 5
Level of contribution None Very Low Low Fair High Very High
.

ECTS credits and course workload
Event Quantity Duration (Hour) Total Workload (Hour)
Course Duration (Total weeks*Hours per week) 14 3
Work Hour outside Classroom (Preparation, strengthening) 14 4
Midterm Exam 1 1.5
Time to prepare for Midterm Exam 1 20
Final Exam 1 1.5
Time to prepare for Final Exam 1 30
Total Workload
Total Workload / 30 (s)
ECTS Credit of the Course
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Course Information
  • Course Information
  • Weekly Topics (Content)
  • Sources Used in This Course
  • Relations with Education Attainment Program Course Competencies
  • ECTS credits and course workload