Text: Advanced Engineering Mathematics 4th edition by Zill and Wright
There should be 2 or 3 tests, perhaps a review day or two.
The topics break up into three main pieces.
| Topics | Sections | Time |
| Chapter 8 - Matrix Algebra Chapter 17 - Complex Arithmetic |
8.1-8.6, 8.8. 17.1,17.2 |
11 days |
Chapter 2 - First-Order Differential Equations |
1.1, 1.2, 2.2-2.3 | 5 days |
Chapter 10 - Systems of Linear Differential Equations |
10.1, 10.2 10.3, 10.4.1, 10.4.3 | 9 days |
| Chapter 11 - Systems of Non-Linear Differential Equations | 11.1-11.4 | 6 days |
| Chapter 12 - Orthogonal Functions and Fourier Series | 12.1-12.3 | 4 days |
| Tests, Review and Spare days | 5 days |
8. Matrices
8.1 Matrix Algebra
8.2 Systems of Linear Algebraic Equations
8.3 Rank of a Matrix
8.4 Determinants
8.5 Properties of Determinants
8.6 Inverse of a Matrix
8.6.1 Finding the Inverse
8.6.2 Using the Inverse to Solve Systems
17. Complex Numbers
17.1 Complex Numbers
17.2 Powers and Roots
10. Systems of Linear Differential Equations
10.1 Theory of Linear Systems
10.2 Homogeneous Linear Systems
10.2.1 Distinct Real Eigenvalues
10.2.2 Repeated Eigenvalues
10.2.2 Complex Eigenvalues
10.3 Solution by Diagonalization
10.4 Nonhomogeneous Linear Systems
10.4.1 Undetermined Coefficients
10.4.3 Diagonalization
11. Systems of Nonlinear Differential Equations
11.1 Autonomous Systems
11.2 Stability of Linear Systems
11.3 Linearization and Local Stability
11.4 Autonomous Systems as Mathematical Models
12. Orthogonal Functions and Fourier Series
12.1 Orthogonal Functions
12.2 Fourier Series
12.3 Fourier Cosine and Sine Series