The referred problems are from the textbook "Elementary Differential
Equations and Boundary Value Problems" by W.E. Boyce & R.C. DiPrima
(10-th edition)
Week
Notes |
Material to be covered |
hw |
sol |
Sections |
Supplementary Problems
|
| Sep 4 |
Classes begin Sep 7 |
hw1 |
s1 |
1.1-1.4
|
all odd problems from sections 1.2,1.3 |
| Sep 9 |
Separable equations and equations
with homogeneous coefficions |
hw2
|
s2 |
2.2
2.3
|
9 -- 16, 17 -- 27
15, 16, 20 -- 26
|
| Sep 16 |
Exact equations, integrating
factors and linear equation |
hw3
|
s3 |
2.6
2.1
|
1 -- 12, 15, 19 -- 28
|
| Sep 23 |
Bernoulli equations
Reducable to linear equations. Existence and uniqueness theorem |
hw4
|
s4 |
2.4
2.8
3.1 |
1,2,3,7,9,21,22,23,35,37,29,33
28 -- 43 |
| Sep 30 |
Linear equations |
hw5 |
s5 |
|
|
| Oct 9 |
Test 1, Oct 9 & 10, at 7:00pm
|
|
|
|
B&H, 166
Mac Millan 115 |
| Oct 14 |
Numerical solutions
Runge-Kutta method
Multistep methods |
Project |
|
2.7, 8.2
8.3
8.4 |
11 -- 15; 8.2: 7 -- 12, 22 -- 26
1 -- 4, 7 -- 10
1 -- 6, 7, 8 |
| Oct 21 |
Second order equations
Fundamental set of solutions. Wronskian
|
hw4
|
s4 |
3.1
3.2
3.3 |
1--17odd,25,26
1-19odd, 23,24,28--31 |
| Oct 28 |
Homogeneous differential equations |
hw5 |
s5 |
3.4
3.5 |
1-21odd,27
11 -- 15,20,21,23--30 |
| Nov 4 |
Non-homogeneous equations. Lagrange's method
and method of undetermined coefficients |
hw6 |
s6 |
3.6
3.7 |
1--25
1-19odd, 28 -- 31 |
| Nov 11 |
Mechanical and Electrical Vibrations |
hw7 |
s7 |
3.8,3.9
Review |
3.8: 1--15,25
3.9: 5--15 |
| |
Test 2: |
|
|
|
November 7 (Kassar Foxboro) Smith Buonnano Room 106 |
| Nov 18 |
Laplace transformation |
hw8 |
s8 |
6.1 |
B&H, 166, 168 at 7pm
1,2,7,8,11,12,15--17,21-24 |
| Nov. 21 |
Project
hand in 37 Manning st |
|
|
|
Due November 21 |
| Nov 25 |
Inverse Laplace transforms |
|
|
6.1
6.2
6.3
6.4 |
2,3,4,5,9,11
1,5,7,8,15,23c,24,26,30,31,32,35
1,4,5,7,11,12,13,14,21,26,28
4,5,9*,12,13,14,15,16a |
| Dec 2 |
No class Nov 23-Nov 25 (Thanksgiving) |
|
|
6.1
6.2 |
1,2,5,6,7,8,14-18,21,24,25
1,7,9,26,27,42-60,74,75,77,80 |
| Dec 9 |
Dilum's notes |
|
|
6.3
6.4
6.5 |
1,3,5,7,9,11,14,15,21
1,3,4,5,7,9,11,12,13,15,16,17,20
1,2,3,4,5 |
Dec 16
|
Final Exam, at 9am |
|
|
|
Mac Millan, 117, at 9am |
|
 |
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