| Lecture Date | Reading | Topic |
| 7th January | 1.1 | Preliminaries: Theorems from Calculus |
| 10th January | 2.1 | Nonlinear equations. Matlab tutorial |
| 12th January | 2.1 | The bisection method |
| 14th January | 2.2 | The fixed-point method |
| 17th January | Martin Luther King, Jr. Day | |
| 19th January | 2.3 | Newton's method |
| 21st January | 2.3 | The secant method |
| 24th January | 2.4 | Error analysis |
| 26th January | 2.4 | Error analysis, continued |
| 28th January | 1.2 | Computer representation of numbers. Floating point representation. |
| 31st January | 1.2 | Errors in floating point arithmetic computations; catastrophic cancellation |
| 2nd February | 3.1 | Polynomial interpolation |
| 4th February | 3.1 | Lagrange interpolation formula |
| 7th February | 3.1 | Polynomial interpolation error estimates |
| 9th February | 8.3 | Chebyshev polynomials |
| 11th February | 3.2 | Newton divided differences |
| 14th February | Review | |
| 16th February | Midterm | |
| 18th February | 4.1 | Numerical differentiation |
| 21st February | Presidents' Day | |
| 23rd February | 4.2 | Richardson's extrapolation |
| 25th February | 4.3 | Elements of numerical integration |
| 28th February | 4.4 | Composite numerical integration |
| 2nd March | 4.7 | Gaussian quadrature |
| 4th March | 6.1 | Linear systems. Review of Gaussian elimination. |
| 7th March | 6.2 | Pivot strategies |
| 9th March | 6.5 | LU decomposition |
| 11th March | 6.1 | Operation counts for linear solvers |
| 14th March | 6.6 | Cholesky factorization |
| 16th March | Review | |
| 18th March | Final Exam |