All assignments are from Advance Engineering Mathematics 5th Edition
(ISBN 0-534-40077-9) by Peter V. O'Neil, Thomson Brooks/Cole publishers.
| Lecture | Sections | Homework | Notes In PDF Format |
|---|---|---|---|
| 1 | 1.1, 1.2, 1.3, 1.4, 1.5 (Bernoulli's Equation) | 1.1 # 3, 7, 11, 13; 1.2 # 3, 7, 11, 15;
1.3 # 1, 5, 11, 19; 1.4 # 3, 5, 11, 13; 1.5 # 3; 1.6 (Bernoulli's Equation), # 3, 9 |
Basics
First Order DES |
| 2 | 2.1, 2.2, 2.4, 2.6 | 2.2 # 1, 5, 9; 2.4 # 3, 5, 9, 13, 17, 19, 23;
2.6 # 3, 7, 9, 11, 13, 21, 27 |
Second Order DEs |
| 3 | 2.5, 2.6, 3.1, 3.2 | 2.5 # 5, 7, 11,21; 2.6 #31, 32, 37, 41;
3.1 #3, 5, 9, 13, 17; 3.2 # 1, 3, 5, 9 |
Euler
Equations
Laplace Transforms |
| 4 | 3.3, 3.4 | 3.3 #1, 7, 15, 17, 21, 27; 3.4 # 1, 3, 5; | Laplace Transforms |
| 5 | 4.1, 4.2, 4.3 | 4.1 # 1, 3, 7; 4.2 #1, 4, 5; 4.3 #1, 3, 7, 9, 11 | Infinite
Series I
Infinite Series II Power Series I Power Series II Series Solution of DEs |
| 6 | 4.4, 15.2 | 4.4 # 1, 3, 5, 15, 17; 15.2 # 3, 5, 7 | Second
Series Solution
Some Examples |
| 7 | 15.1, 15.3, 6.2 | 15.1 # 1, 3; 15.3 # 1, 3, 5, 7, 9, 11 | Special
Equations
Boundary Value Problems |
| 8 | Midterm Exam | Exam_03 Exam_sol_03 | Solutions |
| 9 | 13.2, 13.4 | 13.2 # 1, 3, 5, 7, 9; 13.4, # 1, 3, 5 | Fourier Series |
| 10 | 16.2, 17.2, 18.2, 18.3 | 16.2 # 1, 3; 17.2 # 1, 3; 18.2, #1, 3; 18.3 #1,9 | Partial DEs |
| 11 | 16.7, 17.5, 16.9, 16.10, 16.11 | 16.7 #1, 3; 17.5 # 1, 3 | Multi Dimen PDEs |
| 12 | Third Edition 9.0, 9.1, 9.2 | 9.1 # 1, 3, 9; 9.2 # 1, 3 | Calculus of Variations I |
| 13 | Third Edition 9.3, 9.4 | 9.3 # 1 [There is a missing u times the 2f(x,y)]; 9.4 #1, 3 | Calculus of Variations II |
| 14 | Final Exam | Exam |