Prof. Bo Deng
Math 221/821 Fall 2006
318 Avery
Ph: 472-7219 (no voice messages please)
bdeng@math.unl.edu
Problems with * will be collected on the Due Date.
Works which do not meet the following requirement will be RETURNED!
Points will also be deducted for any noncompliance.
Homework Requirement: Be Complete, Neat, and Organized. More precisely,
1. Every homework problem must be neatly copied verbatim.
2. Each problem is followed by its solution which must not be sketchy.
3. If it takes more than one page, loose pages must be stapled together.
4. The pages must not look like torn out from a sketch book.
Week
1
Sections
Topics
Partial Assignment List
1.1, 1.2
Equation & Solution, Direction Field,
P11: 1,3,4,5*,6,8,10,12,13,14;
1.3.1
Pure Time Equations, Particle
P17: 1,3,4*,6;
Dynamics
P27: 1,2,5,7,8*
Autonomous Equations, Phase Line
P37: 1*,2,3,6,8,9;
1.3.2
Due Date: Wed. Jan. 17.
2
Martin Luther King Day
1.3.2
Autonomous Equations, Phase Line
P37: 1,2,3,6,8,9;
1.3.3
Method, Stability and Bifurcation
P43: 1,2,3,6*;
P47: 2,3,4
3
1.3.4,
Heat Transfer
P47: 1,2,3*
1.3.5,
Mixing Problem
P49: 1,2*,4,5,6,8
2.1
Separation of Variables
Due Date: 5:00pm, Mon. Jan. 29.
P57: 1,2,4,5,6,9,10,11
4
2.1
Separation of Variables
P57: 1*,2,4,5,6,9,10,11
2.2
First-Order Linear Equations
P67: 1,2,3,5,6*,9,10,11,12*,16,17,18,19
TEST 1
5
2.3.2
Numerical Methods
P.80:1,2,3,5 (Use Maple when required)
3.1
Particle Mechanics
Linear Eq. w/ Constant Coefficients
P.86:1,2,5, 5*(a,b,d)
3.2
6
Due Date: 5:00pm, Friday. Feb. 09.
3.2
Linear Eq. w/ Constant Coefficients
3.3.1
Undetermined Coefficient Method
P.94: 1,2,3,4*,6,7,8,11
P.101: 1,2,4, 2*(a,b,f)
Due Date: 5:00pm, Friday. Feb. 23.
Prof. Bo Deng
Math 221/821 Fall 2006
318 Avery
Ph: 472-7219 (no voice messages please)
bdeng@math.unl.edu
3.3.2
Resonance
P.104: 1,2
7
8
3.3.2
Resonance
P.104: 1,2
3.4.1
Cauchy-Euler Equation
P.115: 1,2,3
3.4.3
Reduction of Order
P.116: 9,10,11
3.4.4
Variation of Parameters
P.117: 17
3.6
Higher Order Equations
P.126: 1,2,3,4
Test 2
9
4.1
Laplace Transforms,
P138: 1—16, 7*,13*
Inverse Laplace Transforms
4.2
Initial Value Problems
10
11
12
13
14
15
P144: 1— 4, 3*(g), 4*
Hwk#5: Due Date: 5:00pm, Wed. Mar. 21.
Spring Break
4.2
Initial Value Problems
P144: 1— 4, 2(a,b), 3(a,e,h),4
4.3
Convolution Property
P148: 1,2,3,4,5,6,9*,10
4.4
Discontinuous Sources
P150: 1,2,3,4,5,6*,7
4.5
Point Sources
5.1
Linear Systems
P155: 1,2,3,4*,5,6
Hwk#6: Due Date: 5:00pm, Wed. Mar. 28.
P164: 2,3,6
5.2
Matrices
P177: 1,2,4,5,8,12
5.3
Two-Dimensional Linear Systems
5.3
Two-Dimensional Linear Systems
P196: 1,2,4*(a,b,f,h),7,12
Hwk#7: Due Date: 5:00pm, Wed. Apr. 4
P196: 1,2,4(a,b,f,h),7,12
5.4
Nonhomogeneous Systems
6.1.1
Phase Plane
P202: 1,3,5*,8,12
Hwk#8: Due Date: 5:00pm, Wed. Apr. 11
P216: 1,2,5,7
6.1.2
Population Models
P228: 12,13
6.1.2
Population Models
6.2
Numerical Method
P228: 12*,13
Hwk#9: Due Date: 5:00pm, Wed. Apr. 18
P231: 1
TEST 3
16
6.3
Linearization and Stability
Review
Final Exam
Check the main page
P242: 4,6,8*,9
Hwk#10: Due Date: 5:00pm, Wed. Apr. 25
Prof. Bo Deng
Math 221/821 Fall 2006
318 Avery
Ph: 472-7219 (no voice messages please)
bdeng@math.unl.edu