MCS 258, Introduction to Differential Equations
Prof. Dr. Kenan TAŞ (Section 01 , Computer Engineering )
Dr. Raziye MERT (Section 02 , Computer Engineering )
Ass.Prof. Dr. Thabet S.H.MARAABA (ABDEL JAWAD) (Section 03, Electronic & Communication Engineering)
Text Book:
Differential Equations; Shepley L. Ross, John Wiley and Sons, 3rd Edition,1984
Supplementary Book:
Lectures on Differential Equations, E. Akyıldız, Y. Akyıldız, Ş.Alpay, A. Erkip and A.Yazıcı, Matematik Vakfı Yayın No:1
Evaluation:
First MT : %30 ( April 02, 2010, Friday)
Second MT: %30 ( May 07, 2010, Friday)
Final: %40
Homeworks:
HW1 Questions: here
HW1 Supplementary Questions: here
HW2 Questions:here
HW3 Questions:here
HW4 Questions:here
HW5 Questions:here
2009 MT1 Questions:here
HW6 Questions:here
Solved Problems(Laplace):here
2009 MT2 Questions:here
HW7 Questions:here
2009 Final Exam Questions:here
|
Week |
Date |
Section Covered and Comments |
|
1
|
Feb 15- 19, 2010 |
First Order Ordinary Differential Equations: Preliminaries, |
|
2 |
Feb. 22-26, 2010 |
Solutions Existence-Uniqueness Theorem Exact Equations, Separable Equations, Linear Equations, Bernoulli Equations, |
|
3 |
March 01-05,2010 |
Homogeneous Equations, Finding Integrating Factors, Special Transformations (Equations Reducible to Homogeneous Equations) |
|
4 |
March 08-12,2010 |
Higher Order Linear Ordinary Differential Equations: Basic Theory of Higher Order Linear Equations, Reduction of Order Method |
|
5 |
March 15-19,2010 |
Homogeneous Constant Coefficient Equations, Undetermined Coefficients Method, |
|
6 |
March 22-26,2010 |
Variation of Parameters Method |
|
First Midterm ( April 02, 2010, Friday) |
||
|
7 |
March 29- Apr02, 2010 |
Cauchy-Euler Equations, Series Solutions of Ordinary Differential Equations: Power Series Solutions (Ordinary Point)
|
|
8 |
Apr 05- Apr 09, 2010 |
Power Series Solutions (Ordinary Point) (continued) Power Series Solutions (Regular-Singular Point). |
|
9 |
Apr 12- Apr 16, 2010 |
Laplace Transforms: Basic Properties of the Laplace Transforms, Convolution |
|
10 |
Apr 19- Apr 23, 2010 (Holiday April 23)
|
Inverse Laplace Transforms |
|
11 |
Apr 26- Apr 30, 2010 |
Solution of Differential Equations by the Laplace Transform |
|
Second Midterm ( May 07, 2010, Friday) |
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|
12 |
May 03 - 07, 2010 |
Laplace Transform of piecewise functions and unit step functions |
|
13 |
May 10 - 14, 2010(Çankaya Days Festival, May 13-14) |
Fourier Analysis: Odd and Even Functions, Periodic Functions Trigonometric Series, Fourier Series and Fourier Sine and Fourier Cosine Series for Functions of any Period |
|
14 |
May 17 - 21, 2010(Holiday May 19)
|
Partial Differential Equations: Separation of Variables, Solution of the One-Dimensional Heat Equation |
|
15 |
May 24 - 25, 2010 |
Worked Examples, Theorem Proofs, Exercises |