SDSU Logo

Main Content


Evolving Schedule (topics arranged by "target week.")

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
Movie: FP iterations
Figure: 21-Cycle

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