Week 
Topics 
Assignments 
Sept 6  8

Complex Numbers. Complex Plane: 13.1
Polar Form of Complex Numbers. Powers and Roots: 13.2

13.1 # 1,2,5,717
13.2 # 1,3,5,7,9,11,1517,21,23,25

Sept 11  15

Exponential Function: 13.5
Matrices, Vectors: Addition and Scalar Multiplication: 7.1
Matrix Multiplication: 7.2

13.5 # 3,5,7,9,11,1315
7.1 # 1,5,7,9,12,14
7.2 # 1,2,4,13,20,21

Sept 18  22

Linear Systems of Equations. Gauss Elimination: 7.3
Linear Independence. Rank of a Matrix. Vector Space: 7.4
Solutions of Linear Systems: Existence, Uniqueness: 7.5

7.3 # 1,3,5,9,11,15,17,19
7.4 # 1,3,5,7,13,17,19,27,29,31

Sept 25  29

Determinants. Cramer's Rule: 7.7
Inverse of a Matrix. GaussJordan Elimination: 7.8
Review

7.7 # 5,7,9,11,15,19,21,23
7.8 # 1,3,5,7,13,17,19

Oct 2  6

Basic Concepts. Modeling: 1.1
Geometric Meaning of y'=f(x,y). Direction Fields: 1.2
Exam I

1.1 # 1,3,5,7,9,11,13,15,17,21
1.2 # 1,3,5,7,11,13
October 5

Oct 9  13

Separable ODEs. Modeling: 1.3
Exact ODEs. Integrating Factors: 1.4
Linear ODEs. Bernoulli Equation. Population Dynamics: 1.5

1.3 # 3,5,7,9,11,13,15,23,25,27
1.4 # 1,5,7,9,11,13,15,17,21
1.5 # 3,5,7,11,15,19,21,23,25,27

Oct 16  20

Homogeneous Linear ODEs of Second Order: 2.1
Homogeneous Linear ODEs with Constant Coefficients: 2.2
Modeling: Free Oscillations (MassSpring System): 2.4

2.1 # 1,3,5,7,9,11,13,17,19,21,23
2.2 # 1,3,5,7,9,11,13,15,17,19,21,23,25,31
2.4 # 1,3,5,7,9,11,13,17

Oct 23  27

EulerCauchy Equations: 2.5
Existence and Uniqueness of Solutions. Wronskian: 2.6
Nonhomogeneous ODEs: 2.7

2.5 # 1,3,5,11
2.6 # 1,3,5,7,9,13,15,17
2.7 # 1,3,5,7,11,13,15,17,19

Oct 30  Nov 3

Modeling: Forced Oscillations. Resonance: 2.8
Modeling: Electric Circuits: 2.9
Solution by Variation of Parameters: 2.10

2.8 # 1,3,9,11,15,17
2.9 # 1,3,5,7,9,11,13,15,17
2.10 # 1,3,5,7

Nov 6  10

Review
Exam II

November 9

Nov 13  17

Homogeneous Linear ODEs: 3.1
Homogeneous Linear ODEs with Constant Coefficients: 3.2
Nonhomogeneous Linear ODEs: 3.3

3.1 # 1,3,5,7,9,11,13,15,17,19
3.2 # 1,3,5,7,9,11,13,15,17
3.3 # 1,3,5,9

Nov 20  24

Basics of Matrices and Vectors: 4.0
Systems of ODEs as Models: 4.1
Happy Thanksgiving !

4.1 # 5,7,11,13,15

Nov 27  Dec 1

Basic Theory of Systems of ODEs: 4.2
ConstantCoefficient Systems. Phase Plane Method: 4.3
Criteria for Critical Points. Stability: 4.4

4.3 # 1,3,5,7,9,11,13,15
4.4 # 1,3,5,7,9,11,13,15,17

Dec 4  8

Qualitative Methods for Nonlinear Systems: 4.5
Nonhomogeneous Linear Systems of ODEs: 4.6
Review

4.5 # 1,3,5,7,9,11,13,15,17
4.6 # 3,5,7,9,11,13,15,17,19

Dec 19

Final!!

8:0011:00 AM.
