Will be able to classify the differential equations.
Will be able to solve first order differential equations of certain types
Know the solution methods of higher order linear differential equations.
Mode of Delivery
Face to face
Prerequisites
No
Recommended Optional Programme Components
Calculus 1, Calculus 2
Course Description
Classification of differential equations, Solutions and existence uniqueness theorem, Initial value and boundary value problems, Separable Equations, Linear Equations, Homogeneous Equations, Exact differential equations and integral multiplier, Bernoulli and Riccati type Equations, First order higher degree equations, second order equations without one of the variables, applications of second order differential equations. Higher order linear differential equations and solutions.
Course Contents
WEEK
TOPICS
1st Week
Classification of differential equations, solutions and existence and uniqueness theorem, initial and boundary value problems
2nd Week
Separable equations, linear equations
3rd Week
Linear equations
4th Week
Homogeneous equations
5th Week
Exact differential equations and integral multiplier
E. Akyıldız, Y. Akyıldız, Ş. Alpay, A. Erkip, A. Yazıcı, "Lectures on Differential Equations" Matematik Vakfı Yayın No:1, 2000.
M. N. Özer,D. Eser. Diferansiyel Denklemler (Teori ve Uygulamalar).
Planned Learning Activities and Teaching Methods
Lecture
Questions/Answers
Assessment Methods and Criteria
Quantity
Percentage (%)
Mid-term
1
30
Assignment
1
10
Quiz
2
10
Total(%)
50
Contribution of In-term Studies to Overall Grade(%)
50
Contribution of Final Examination to Overall Grade(%)
