| MATH 4721/6721 | Schedule of Lectures and Exams | Spring 2012 | ||||
| Numerical Analysis | Dwiggins | |||||
| MONDAY | WEDNESDAY | FRIDAY | ||||
| Week # 0 | Jan 13 | |||||
| Introduction | ||||||
| Overview of Course | ||||||
| Week # 1 | Jan 16 | LABOR DAY | Jan 18 | Jan 19 | ||
| §§ 1.1-2 | Numerical | §§ 1.3-4 | Error Sources, | |||
| Representation and | Propagation, | |||||
| Computation Errors | and Control | |||||
| Week # 2 | Jan 23 | Jan 25 | HW # 1 Due | Jan 27 | ||
| §§ 1.5-6 | Introduction to | §§ 2.1-2 | Bisection Method | §§ 2.3-5 | General Theory | |
| Error Analysis | and Newton's Method | of Iteration | ||||
| for Finding Roots | Methods | |||||
| Week # 3 | Jan 30 | Feb 1 | Feb 3 | HW # 2 Due | ||
| §§ 2.6-8 | Comparison of | §§ 2.9-11 | Finding Roots of | §§ 3.1-2 | Interpolation | |
| Newton's Method | Systems of Equations | Theory | ||||
| with other methods | ||||||
| Week # 4 | Feb 6 | Feb 8 | Feb 10 | |||
| §§ 3.3-4 | Finite Difference | §§ 3.5-6 | Interpolation | §§ 3.7-8 | Spline | |
| Tables | Error Analysis | Theory | ||||
| Week # 5 | Feb 13 | HW # 3 Due | Feb 15 | Feb 17 | TEST # 1 | |
| REVIEW | REVIEW | Chapters 1-3 | ||||
| Week # 6 | Feb 20 | Feb 22 | Feb 24 | |||
| §§ 7.1-2 | A Review of | § 7.3 | Linear Spaces | § 7.4 | Convergence | |
| Linear Algebra | Vector Norms | and Perturbation | ||||
| Matrix Norms | ||||||
| Week # 7 | Feb 27 | Feb 29 | HW # 4 Due | Mar 2 | ||
| §§ 8.1-2 | Gaussian | §§ 8.3-4 | Residuals and | Wilkinson's | ||
| Elimination | Error Analysis | "Fig Leaf" | ||||
| Week # 8 | Mar 5 | SPRING BREAK | Mar 7 | Mar 9 | ||
| MATH 4721/6721 | Schedule of Lectures and Exams | Spring 2012 | ||||
| Numerical Analysis | Dwiggins | |||||
| MONDAY | WEDNESDAY | FRIDAY | ||||
| Week # 9 | Mar 12 | Mar 14 | Mar 16 | |||
| § 8.4 | The Condition | § 8.5 | Iteration Methods | § 8.6 | Iteration Methods: | |
| Number for | with Residuals | Further Topics | ||||
| a Matrix | ||||||
| Week # 10 | Mar 19 | HW # 5 Due | Mar 21 | Mar 23 | ||
| §§ 8.7-9 | Special Matrices | Ch. 9 | Numerical | |||
| and corresponding | Approximation | REVIEW | ||||
| algorithms | of Eigenvalues | |||||
| Week # 11 | Mar 26 | TEST # 2 | Mar 28 | Mar 30 | ||
| § 4.1 | From Taylor | §§ 4.2-4 | Inner Product | |||
| Chapters 7-8 | to Weierstrass | Spaces and | ||||
| L2 Approximation | ||||||
| Week # 12 | Apr 2 | Apr 4 | Apr 6 | |||
| §§ 4.4-6 | Least Squares | § 5.1 | Numerical | § 5.2 | Splines and the | |
| Regression | Integration | Newton-Cotes Method | ||||
| Week # 13 | Apr 9 | Apr 11 | Apr 13 | |||
| § 5.3 | Gaussian | § 5.4 | Error | §§ 6.1-2 | Differential | |
| Quadrature | Analysis | Equations | ||||
| Week # 14 | Apr 16 | Apr 18 | Apr 20 | |||
| §§ 6.2-3 | Euler's | § 6.10 | Runge-Kutta | §§ 6.4-5 | Other | |
| Method | Methods | Methods | ||||
| Week # 15 | Apr 23 | Apr 25 | Friday, Apr 27, 10:30-12:30 | |||
| FINAL EXAM | ||||||
| REVIEW | REVIEW | Wednesday, May 2, noonish | ||||
| GRADES POSTED | ||||||
| Back to MATH 4721/6721 main page | ||||||