For students enrolled in MATH 544, the above syllabus is modified as follows:
Week | Date | Topic/Materials | Homework/Test | ||
---|---|---|---|---|---|
Text | Wikipedia | Other | |||
1 | September 8 | Introduction | |||
Basic Concepts, Error Analysis | |||||
September 9 | 1.1 | Calculus | |||
September 11 | 1.2 | Floating Point, Round off error | |||
September 12 | Loss of Significance | Homework 1, using Layout | |||
2 | September 15 | 1.3 | Numerical Stability, Condition Number | 344:28 | |
September 16 | 1.4 | Mathematical Software | |||
Equations of one variable | |||||
September 18 | 2.1 | Root-finding, Bisection | 344:5 | ||
September 19 | 2.2 | Fixed Point, Cobweb Plot, Fixed-point Iteration | Homework 2, using Flow | ||
3 | September 22 | (drop deadline) | |||
September 23 | study guide | Test on Chapter 1 | |||
September 25 | 2.3 | Newton's Method, Secant method | 344:3, 4 | ||
September 26 | |||||
4 | September 29 | 2.4 | Rate of convergence | Homework 3, using Logic | |
September 30 | 2.5 | Aitken's delta-squared Process, Steffensen's Method | |||
October 2 | 2.6 | Horner algorithm | |||
October 3 | |||||
Interpolation | |||||
5 | October 6 | 3.1 | Interpolation, Lagrange Polynomial, Neville's Algorithm | 344:19 | |
October 7 | Homework 4 | ||||
October 9 | 3.2 | Newton polynomial, Divided Differences | |||
October 10 | |||||
6 | October 13 | 3.3 | Hermite Interpolation | (drop deadline with WP/WF) | |
October 14 | |||||
October 16 | study guide | Test on Chapter 2 | |||
October 17 | 3.4 | Spline Interpolation | |||
7 | October 20 | 3.5 | Bezier Curve | Homework 5, using Intros | |
October 21 | |||||
Differentiation and Integration | |||||
October 23 | 4.1 | Numerical Differentiation | 344:27 | ||
October 24 | 4.2 | Richardson Extrapolation | Homework 6, using Graphs | ||
8 | October 27 | ||||
October 28 | study guide | Test on Chapter 3 | |||
October 30 | 4.3 | Numerical Integration Newton-Cotes formulas | 344:21, 22 | ||
October 31 | 4.4 | ||||
9 | November 3 | 4.5 | |||
November 4 | 4.6 | Adaptive Quadrature | Homework 7, using Symbols | ||
November 6 | 4.7 | Gaussian Quadrature | |||
November 7 | 4.8 | 344:23, 24 | |||
4.9 | |||||
10 | November 10 | project presentations | |||
November 11 | Veterans' Day, no class | ||||
November 13 | presentations | ||||
November 14 | presentations; Homework 8 | ||||
11 | November 18 | Tuesday at 8:00am in our regular classroom | study guide | Final Exam |