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 First-Order Equations |
1, 10, 24, 27, 33 |
1.5 1.6 |
Linear
First-Order 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
Row-Echelon 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 R3 The
Vector Space Rn & 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 |
Second-Order
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 |
First-Order
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 |