| Month | Day | Topic | Section |
| Linear Algebraic Systems: Direct Methods | |||
| October | 3 | Review of Gaussian Elimination | 6.1 |
| 6 | Gaussian Elimination and LU Factorization | 6.5 | |
| 8 | Gaussian Elimination with Pivoting | 6.2 | |
| 10 | Diagonally Dominant and Positive Definite Matrices | 6.6 | |
| 13 | Other Factorizations and Banded Matrices | 6.6 | |
| 15 | Operation Counts | 6.1 and 6.6 | |
| Machine Number Systems | |||
| 17 | Under the Hood: Machine Numbers | 1.2 | |
| 20 | Under the Hood: Machine Operations | 1.2 | |
| Nonlinear Algebraic Equations | |||
| 22 | Bisection Method | 2.1 | |
| 24 | Fixed-Point Iteration | 2.2 | |
| 27 | Newton Method | 2.3 | |
| 29 | Secant and False-Position Methods | 2.3 | |
| 31 | Error Analysis | 2.4 | |
| November | 3 | More Error Analysis and Review | 2.4 |
| 5 | Midterm Exam | ||
| Interpolation | |||
| 7 | Polynomial Interpolation | 3.1 | |
| 10 | Polynomial Interpolation Error | 3.1 | |
| 12 | Neville Method | 3.2 | |
| 14 | Newton Divided Differnces | 3.3 | |
| 17 | Hermite Interpolation | 3.4 | |
| 19 | Spline Interpolation | 3.5 | |
| Numerical Integration | |||
| 21 | Basic Quadrature | 4.3 | |
| 24 | Newton-Cotes Formula | 4.3 | |
| 26 | Composite Quadrature | 4.4 | |
| December | 1 | Gaussian Quadrature | 4.7 |
| 3 | Romberg Quadrature | 4.5 | |
| 5 | Adaptive Quadrature | 4.6 | |
| Numerical Differentiation | |||
| 8 | Finite Difference Methods | 4.1 | |
| 10 | Richardson Extrapolation | 4.2 | |
| 12 | Go Over Last Homework and Review | ||
| 15 | Final Exam, 8:00am - 11:00am |