Section

Topic

Suggested Homework 
1.1 1.2 
Differential Equations
& Mathematical Models Integrals as General & Particular Solutions 
2,
12, 22, 30, 36, 40 4, 6, 15, 18 
1.4 1.5 
Separable Equations &
Applications Linear FirstOrder Equations 
1, 10, 24, 27, 33 
1.5 1.6 
Linear
FirstOrder Equations (contd.) Substitution Methods & Exact Equations 
4, 12, 24, 28, 32 2, 10, 22, 40, 60 
Extra 
Extra Hw in chapter one and three  hw.pdf 
3.1 3.2 
Introduction
to Linear Systems Matrices
and Gaussian Elimination 
2, 22, 24, 26 4,
8, 14, 28 
3.3 3.4 
Reduced
RowEchelon Matrices Matrix
Operations 
3,
10, 24, 35 3, 10, 20, 24 
3.5 3.6 
Inverse
of Matrices Determinants 
4,
12, 20, 28 2,
4, 12, 30, 40, 43 
4.1 4.2 
The
Vector Space R^{3} The
Vector Space R^{n} & Subspaces 
1, 6, 13, 16, 24, 26, 30 3, 8, 16, 19 
4.3 4.4 
Linear Combination &
Independence of Vectors Bases
& Dimension for Vector Spaces 
1,
6, 12, 17, 26 3, 8, 13, 16, 22 
5.1 5.2 
SecondOrder
Linear Equations General
Solutions of Linear Equations 
1, 11, 16, 19, 25, 28, 44 2, 8, 13, 24, 26 
5.3 5.5 
Homogeneous Equations with
Constant Coefficients Method of Undetermined
Coefficients 
1, 4, 14, 22, 28, 33, 38 4,
12, 26, 32, 36 
5.5 6.1 
Method
of Variation of Parameters Introduction
to Eigenvalues 
47,
52, 57, 60 2,
15, 24, 28, 36 
6.2 6.3 
Diagonalization
of Matrices Applications involving
Powers of Matrices 
2,
14, 25, 28 2,
10, 20, 26, 36 
7.1 7.2 
FirstOrder
Systems & Applications Matrices
& Linear Systems 
2,
8, 13, 18, 21 2, 4, 12, 16, 20, 25 
7.3 7.5 
The Eigenvalue Method for Linear Systems Multiple
Eigenvalue Solutions 
4, 9, 18, 24, 26 
7.5 
Multiple
Eigenvalue Solutions (contd.) Review 
4, 10, 16, 28, 30 