| Week | Day | Lecture topics |
Slides, Additional Material, Readings |
Assignments Due dates |
|---|---|---|---|---|
| 1 | Tuesday Jan 3 |
Overview of class: topics, expectations, grading, rules Review functions: functions, terminology, definitions Taylor Series, error term, | Chapter 1 Overview Functions | |
| Thursday Jan 5 |
Summarize Taylor Series: Mean Value Theorem, Taylor Series, truncated Taylor Series and error term Number Representations: integer, fixed point, floating point, approximation, errors, pitfalls, minimizing error | Chapter 2 Taylor Series Number Rep. | Homework #1 | |
| 2 | Tuesday Jan 10 |
Root Finding: Overview, Bisection method, Regula Falsi | Section 3.1 Root: pdf, ppt | Homework #1 due |
| Thursday Jan 12 |
Root Finding: Newton's method, Secant method, approaches in higher dimensions | Sections 3.2-3.3 | Homework #2 | |
| 3 | Tuesday Jan 17 |
Interpolation: Lagrange polynomial, Newton polynomial | Section 4.1 Int: pdf, ppt |
|
| Thursday Jan 19 |
Interpolation: divided differences, errors Chebyshev nodes Differentiation: Differencing methods | Section 4.1 Int: pdf, ppt Diff: pdf, ppt | Homework #2 due Homework #3 |
|
| 4 | Tuesday Jan 24 |
Differentiation: Richardson extrapolation, second derivative | Section 4.2-4.3 Diff: pdf, ppt |
Homework #3 due Homework #4 |
| Thursday Jan 26 |
Review for midterm Integration: Overview, Reimann integrable functions, Trapezoid Rule applet | Section 5.1 Int: pdf, ppt |
||
| 5 | Tuesday Jan. 31 |
Review for midterm Integration: Trapezoid Rule, Romberg integration | Section 5.2 Int: pdf, ppt | Homework #4 due |
| Thursday Feb. 2 |
Midterm 1 | notes | ||
| 6 | Tuesday Feb. 7 |
Review midterm Integration: Romberg integration | Section 5.3 Int: pdf, ppt | Homework #5 |
| Thursday Feb. 9 |
Integration: Simpson's Rule | Section 6.1 Int: pdf, ppt | ||
| 7 | Tuesday Feb. 14 |
Integration: Gaussian quadrature Pseudo-Random Numbers | Section 6.2 Int: ppt, pdf Section 13.1, 13.2 PRN: ppt, pdf | Homework #5 due Homework #6 |
| Thursday Feb. 16 |
Integration: Pseudo-Random Numbers, Monte-Carlo integration Numerical Recipes, RANDU, Drand48, Randmar, man rand, man random, random.org |
Section 13.1, 13.2 PRN: ppt, pdf | ||
| 8 | Tuesday Feb. 21 |
Matrices: Matrix operations, types of matrices | Chapter 7 LinSys: ppt, pdf | Homework #6 due |
| Thursday Feb. 23 |
Solving linear systems:
Gaussian elimination, solving tringular systems, back substitution
Matrix manipulations: permutations, factorization | Chapter 7 GausElim: ppt, pdf Chapter 8 Matrix: ppt, pdf | ||
| 9 | Tuesday Feb. 28 |
Midterm 2
| notes | Homework #7 |
| Thursday Mar. 1 |
Pivoting: partial pivoting, with permutations Iterative approachs | Pivot: ppt, pdf | ||
| 10 | Tuesday Mar. 6 |
Interpolating Splines: Hermite splines, cardinal splines, blended parabolas Bezier curves, B-splines | Chapter 9 | Homework #7 due |
| Thursday Mar. 8 |
Review | |||
| Finals |
Wed, Mar. 14, 3:30-5:18, DL369 |
notes |
Last updated 12/27/2011