MATH/APPM 4650
Intermediate Numerical Analysis
Final:
Project:
Chain project description (corrected). Form a group of four to five people and work on some aspect of this problem numerically. The full writeup, with illustrations, programs, and analysis, is due on the day of the final exam.
Midterm:
Class notes:
- April 25: (Section 6.6) Special matrices.
- April 23: (Section 6.4 and 6.5) Determinants and factorization.
- April 21: (Section 6.2) Pivoting methods.
- April 16: (Chapter 5) Review of differential equation methods.
- Many many lectures are lost to the world because they were given on the blackboard.
- March 12: (Section 4.7) Gaussian quadrature.
- March 10: (Section 4.6) Recursion and adaptive integration.
- February 29: (Section 4.4) Composite numerical integration. (On board.)
- February 27: (Section 4.3) Elements of numerical integration; Newton-Cotes formulas. (On board.)
- February 25: (Sections 4.1, 4.2) Richardson's extrapolation. (On board.) Plus a numerical differentiation Maple worksheet.
- February 22: (Sections 4.1, 4.2) Numerical differentiation. (On board.)
- February 20: (Section 3.4) Cubic splines and interpolation review.
- February 18: (Sections 3.2, 3.3) Hermite interpolation.
- February 15: (Section 3.2) Divided differences. (On board.)
- February 13: (Section 3.1) Interpolating polynomials, continued. (On board.)
- February 11: (Section 3.1) Interpolating polynomials.
- February 8: (Section 2.7) Review of root-finding methods.
- February 6: (Section 2.5) Accelerating convergence. (Today's notes will be primarily on the board.)
- February 4: (Section 2.4) Error analysis. (Today's notes will be primarily on the board.)
- February 1: (Section 2.3) Newton's method, secant method, and Regula Falsi.
- January 30: (Section 2.2) Fixed point iteration
- January 28: (Section 2.1) The bisection method
- January 25: (Section 1.3) Algorithm analysis. (Today's notes will be primarily on the board.)
- January 23: More roundoff, and Intro to Math Software
- January 18: (Section 1.2) Roundoff error
- January 16: More introduction, and (Section 1.1) calculus review
- January 14: Class introduction
Old homework solutions:
- Homework 12 solutions (6.5, 6.6).
- Homework 11 solutions (6.1, 6.2, 6.3, 6.4).
- Homework 10 solutions (5.6, 5.10).
- Homework 9 solutions (5.2, 5.3, 5.4).
- Homework 8 solutions (4.5, 4.6, 5.2).
- Homework 7 solutions (4.3, 4.4).
- Homework 6 solutions (3.2, 4.1) and Mathematica notebook for the interpolation.
- Homework 5 solutions (3.1, 3.2). Maple worksheet for problems 3.1 #6 and #10 and the Maple worksheet as a web page.
- Homework 4 solutions (2.4, 2.5). Maple worksheet for the last problem.
- Homework 3 solutions (2.1, 2.2, 2.3, 2.4). Programs and output as a Maple file or MATLAB files (zipped) (thanks to Kelly Pineda) or Mathematica notebook (thanks to Ben Drendel).
- Homework 2 solutions (1.3). Also the Maple programs as a Maple file or web page.
- Homework 1 solutions (1.1 and 1.2)
- How to format homework.
Course syllabus
Course schedule
Contact:
