Math 2243


Syllabus

The document
definitions etc.

HW 1 due Thursday 1/26
1.1: 1,2,3,4,10,11,14,15,19
1.2: 1,2,3,4,7,10
1.3: 1,3,7,9
1.4: 1,3,5,9,15,19,20,21,25,27
1.5: 1-9 odd, 22,24
optional 29

Take Home Quiz 1 due Thursday 1/26. Solution

Direction field java applet


HW 2 due Thursday 2/2
2.2: 1,2,3,4,7
2.2: 9,10,11,12 don't solve explicity.
2.4: 1,3,5,9
2.5: 1,2,4

Take Home Quiz 2 due Thursday 2/2 Solution


HW 3 due Thursday 2/9
3.1:1,2,3,9,16,23,25
3.2:1,2,3,4,9,11,20
3.3:1,9,18,32,34

Take Home Quiz 3 due Thursday 2/9 Solution


HW 4 due Thursday 2/16
3.4:1,3,5,7,8,13,23
3.5:1,2,3,9,11,17

No Quiz due this week. Review for Exam 1 on Thursday 2/16. This assignment will not be collected.


HW 5 due Thursday 2/23
3.6: 1-5,7,9,21-24
4.1: 5,7,8,9-11

Take Home Quiz 4 due Thursday 2/23 Solution


HW 6 due Thursday 3/1
4.2: 4,5,7,8,16,17
4.3: 1,4,10,12,19
4.4: 2,5,8,9,10

Take Home Quiz 5 due Thursday 3/1 Solution


HW 7 due Thursday 3/8
4.4: 20, 21
5.1: 1, 10, 15, 17, 25, 33, 35, 39
5.2: 2, 9, 14, 15, 22, 27, 28, 29, 33, 34

Take Home Quiz 6 due Thursday 3/8 Solution


HW 8 due Thursday 3/22
5.3: 3, 11, 15, 20, 23, 27, 35 39, 40
5.5: 1, 2, 10, 12, 14, 16, 23, 27, 37, 39


No Quiz due this week. Review for Exam 2 on Thursday 3/22. This assignment will not be collected. Solution


Take Home Quiz 7 due Thursday 3/29 Solution


HW 9 due Thursday 3/29
5.6: 1,2,4,7,11
6.1: 1,2,6,7,13,17,19,20,22,26,27,29,33,34,36


Take Home Quiz 8 due Thursday 4/5 Solution

HW 10 due Thursday 4/5
6.2: 1, 2, 3, 9, 10, 13, 16, 17, 21, 25, 30, 32, 33
7.1: 1, 3, 6, 7, 8, 11, 12 17, 18
7.2: 6, 7, 15, 18


Take Home Quiz 9 due Thursday 4/12 Solution

HW 11 due Thursday 4/12
7.3: 2, 3, 10, 11, 18, 19, 25, 26
7.4: 2, 5, 6, 12, 13

No Quiz due this week. Review for Exam 3 on Thursday 4/19. This assignment will not be collected.

HW 12 due Thursday 4/19
9.1: 1,3,5,8


HW 13 due Thursday 4/26
Section 10.1: 2, 3, 4, 7, 10, 12, 17, 19, 20, 27, 28, 32
Section 10.2: 3, 5, 9, 21, 24


No quiz due 4/26.
Last quiz (Review) due 5/3.

Outline of review topics for Final Updated (3 pages)
Monday 1/23 Wednesday 1/25 Friday 1/27
Review Sections 1.1-1.4

Section 1.5
Using an Integration Factor to solve
first order linear equations		 Finish Section 1.5
Lecture Notes
 Section 2.2
Phase Diagrams
Stable and Unstable Equilibria
Bifurcations
 
Monday 1/30 Wednesday 2/1 Friday 2/3
Finish section 2.2
Some Notes
check the definitions for stability
criteria as well		 Euler's Method Start Linear Algebra
The matrix equation Ax=b
linear combination
Span
 
Monday 2/6 Wednesday 2/8 Friday 2/10
Sections 3.1 & 3.2
Elimination
augmented coefficient matrix
echelon form 		Sections 3.3
reduced echelon form		 Section 3.4 & 3.5
Matrix Algebra
Inverses
 
Monday 2/13 Wednesday 2/15 Friday 2/17
Review for Exam 1
 More review A sketch for determinants
 
Monday 2/20 Wednesday 2/22 Friday 2/24
Computing determinants Vector Spaces
Section 4.3
linear independence 		Column Space
Null Space
Section 5 of the document above
 
Monday 2/27 Wednesday 2/29 Friday 3/2
Dimension
Section 4.4 of Edwards & Penny
Section 4 of The document above 		A dichotomy of matrices
Section 6 of the document above 		Section 5.1 & 5.2 Linear ODE
Superposition
Linear Independence of functions
 
Monday 3/5 Wednesday 3/7 Friday 3/9
Section 5.3
Characteristic equation:
Section 7 of the document above

Euler's formula 		Section 5.4
Overdamped, Underdamped
Critically damped

Section 8 of the document above 		Section 5.5
Method of undetermined coefficients
 
Monday 3/12 Wednesday 3/14 Friday 3/16

Spring Break

 
Monday 3/19 Wednesday 3/21 Friday 3/23
Review Method of
Undetermined Coefficients 		Review for Exam 2 on Thursday 3/22 Resonance and damped forced oscillations
By this point we should be able to completely
understand the equation
mx'' + 2μx' + ω02x = Acos(ωt)
 
Monday 3/26 Wednesday 3/28 Friday 3/30
Section 6.1
Eigenvalues and Eigenvectors 		Section 6.2
A=PDP-1
diagonalization 		Section 7.1
 
Monday 4/2 Wednesday 4/4 Friday 4/6
Section 7.2 Section 7.3 Section 7.4
 
Monday 4/9 Wednesday 4/11 Friday 4/13
Section 7.4 Sections 9.1\9.2
Stability
Characterization of linear 2d systems 		Section 9.2
Stability of Equilibrium points
 
Monday 4/16 Wednesday 4/18 Friday 4/20
Review for Exam 3 Exam 3 is 4/19 Introduction to Transform Methods
 
Monday 4/23 Wednesday 4/25 Friday 4/27
Section 10.1 Section 10.2\10.3 Section 10.3\10.5
 
Monday 4/30 Wednesday 5/2 Friday 5/4
Review for Final Final Review Last day of instruction

Last Modified Monday September 14, 2009
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