The course consisted of 5 main topics spread over 7-8 classes apiece:

lec # TOPICS
1-8 Root Finding: Solutions of Equations in One Variable (and some Roots of Nonlinear Systems)
9-16 Quadrature: Numerical Integration (and some Lagrange Interpolation)
17-23 ODEs: Initial-Value Problems for Ordinary Differential Equations
24-31 Ax=b: Direct Methods for Solving Linear Algebra
32-39 Ax=λx: Iterative Techniques in Matrix Algebra; Approximating Eigenvalues