Peter Blomgren
San Diego State University
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Math 541 – Introduction to Numerical Analysis and Computing Fall 2014
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Evolving Schedule

[maybe]
*** To use the symbolic math toolbox on Rohan, run matlab-old (not matlab) ***
[\maybe]

Week # Tuesday Thursday
1 Aug-26-2014
First Meeting
[Notes #1]
Aug-28-2014
Calculus Review
Computer Artihmetic and Finite Precision
[Notes #2]
Movie: Calculus – Differentiability
Movie: Calculus – Rolle's Theorem
Movie: Calculus – MVT
2 Sep-02-2014
Algorithms and Convergence
Solutions of Equations of One Variable: Bisection
[Notes #2] [HW #1]
Sep-04-2014
Solutions of Equations of One Variable: Fixed Point
[Notes #3]
3 Sep-09-2014
Fixed Point Iteration
Root Finding
Error Analysis for Iterative Methods
[Notes #3] [HW #2]
Sep-11-2014
Accelerating Convergence
Zeros of Polynomials
Deflation
[Notes #4]
4 Sep-16-2014
Müller's Method
Lagrange Polynomials
Neville's Method
[Notes #4] [HW #3]
Sep-18-2014
Divided Differences
[Notes #5]
5 Sep-23-2014
Hermite Polynomials
[Notes #5] [HW #4]
Movie: Osculating Polynomial
Sep-25-2014
Examples...
6 Sep-30-2014
Midterm Review + Q&A
[Newton's Method, etc...]
[Notes #5½]
Oct-02-2014
Midterm #1
[Study Guide]
7 Oct-07-2014
Cubic Splines
[Notes #6] [HW #5] [Resources]
Oct-09-2014
Numerical Differentiation
[Notes #7]
8 Oct-14-2014
[Notes #Newton]
Richardson Extrapolation
Numerical Integration
[Notes #7] [HW #6]
Oct-16-2014
Composite Integration
Romberg Integration
Adaptive Quadrature
[Notes #8]
9 Oct-21-2014
Gaussian Quadrature
Multiple Integrals
Improper Integrals
[Notes #9] [HW #7]
Oct-23-2014
Midterm #1 – Solutions
10 Oct-28-2014
Approximation Theory
Discrete Least Squares
[Notes #10]
Oct-30-2014
Discrete Least Squares
Orthogonal Polynomials
[Notes #11] [HW #8]
11 Nov-04-2014
Polynomials and Their Oscillations
[Notes #11.5]
Nov-06-2014
Midterm #2 (Take-Home) (Hardcopy only)
Out: Due Monday Nov 17th, 10:00am
12 Nov-11-2014
Veterans Day
Nov-13-2014
No Lecture
13 Nov-18-2014
Chebyshev Polynomials
[Notes #12]
Nov-20-2014
Least Squares, Revisited
[Notes #12] [Code]
14 Nov-25-2014
Rational Function Approximation
Padé Approximation
[Notes #13] [Code]
Nov-27-2014
Thanksgiving
15 Dec-02-2014
Trigonometric Polynomial Approximation
[Notes #14]
Midterm #2 – Solutions (grading: done (2014))
Dec-04-2014
Take-Home Final
Out: Due Tue Dec 16, 3:00pm.
The Fast Fourier Transform (FFT)
[Notes #15]
16
Finals
Dec-09-2014
The Fast Fourier Transform (FFT)
[Notes #15]
Movies: #1-a, #1-b, #1-c, #1-d; #2-a, #2-b, #2-c, #2-d
Dec-11-2014

Homework and Projects will be assigned.

Copyright © 2017 Peter Blomgren.