Nagle, E. B. Saff, A. D. Snider, Diferansiyel Denklemlerin Temelleri, 8. Baskıdan Çeviri, Nobel Yayınları.
E. Boyce and R.C. DiPrima, Elementer Diferansiyel Denklemler ve Sınır Değer Problemleri, 10. Baskıdan Çeviri, Palme Yayıncılık.
Other Sources
A. Dernek, N.Dernek, Diferansiyel Denklemler, Birsen Yayınları, 2001.
Course Schedules
Week
Contents
Learning Methods
1. Week
1. Introduction
1.1 Background
1.2 Solutions and Initial Value Problems
Lecture and recitation
2. Week
2. First Order Differential Equations
2.2 Separable Equations
Lecture and recitation
3. Week
2.3 Linear Equations
Lecture and recitation
4. Week
2.4 Exact Equations
2.5 Special Integrating Factors
Lecture and recitation
5. Week
2.6 Substitutions and Transformations
Lecture and recitation
6. Week
4 Linear Second-Order Equations
4.2 Homogeneous Linear Equations: The General Solution
Lecture and recitation
7. Week
4.3 Auxiliary Equations with Complex Rotts
Lecture and recitation
8. Week
4.4 Nonhomogeneous Equations: The Method of Undetermined Coefficients
4.5 The Superposition Principle and Undetermined Coefficients Revisited
Lecture and recitation
9. Week
4.6 Variation of Parameters
Lecture and recitation
10. Week
4.7 Variable-Coefficient Equations
Lecture and recitation
11. Week
6. Theory of Higher-Order Linear Differential Equations
6.1 Theory of Higher-Order Linear Differential Equations
Lecture and recitation
12. Week
6.2 Homogeneous Linear Equations with Constant Coefficients
Lecture and recitation
13. Week
6.3 Undetermined Coefficients and the Annihilator Method
Lecture and recitation
14. Week
6.4 Method of Variation of Parameters
Lecture and recitation
15. Week
Final Exam
16. Week
Final Exam
17. Week
Final Exam
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
40
Quizzes
6
20
Final Exam
1
40
Program Outcomes
PO-1
Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science.
PO-2
Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science.
PO-3
Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence.
PO-4
Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline.
PO-5
Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science.
PO-6
Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish.
PO-7
Using time effectively in inventing solutions by implementing analytical thinking.
PO-8
Understanding professional ethics and responsibilities.
PO-9
Having the ability to behave independently, to take initiative, and to be creative.
PO-10
Understanding the importance of lifelong learning and developing professional skills continuously.
PO-11
Using professional knowledge for the benefit of the society.
Learning Outcomes
LO-1
Understanding the definition and classification of differential equations.
LO-2
Understanding the solutions of differential equations and the concept of boundary value problems.
LO-3
Analyzing and solving the first order differential equations.
LO-4
Analyzing and solving the second order linear differential equations.
LO-5
Analyzing and solving the higher order linear differential equations.
