CSC350 Tutorial

Administrative Info

September 17th: Assignment 1 is out, due September 29th
September 19th: Notes on stability and conditioning posted
September 24th: I will try to post tutorial outlines on Wednesdays, starting later today
October 1st: Assignment 2 is out, due October 15th
October 4th: Notes on the Woodbury formula posted
October 8th: Assignment 1 has been marked and will be returned in Friday's tutorial
October 10th: The normal equations example from today's tutorial is now online; also, you may find the following resource helpful for A2: Matrix Reference Manual
October 29th: Assignment 3 is out, due November 10th. IMPORTANT: Midterm grades will be adjusted 20 marks upwards
October 31st: A1 average: 29.1/35; A2 average: 31.8/37; Midterm average (before curve): 57.4/100
November 5th: IMPORTANT: if your assignment/midterm is written in pencil, you forfeit your right to a remark. Please bear this in mind. Also, try to refrain from frivolous remarking requests, otherwise your mark WILL go down (I've been pretty lax about this up till now, but I won't be in the future)
November 14th Assignment 4 is out, due November 24th

NOTE: All page and section numbers refer to the Heath text

September 19th
- p. 39 Review Questions
- p. 12 Examples 1.5 and 1.6
- p. 26 Example 1.15
- p. 43 Problems 1.15 - 1.17

September 28th
- p. 67 Example 2.12
- p. 69 Example 2.13
- p. 71 Example 2.15
- p. 73 Example 2.16

October 3rd
- p. 81 Section 2.4.9 [The Sherman-Morrison formula]
- p. 88 Section 2.5.3 [Tridiagonal systems]

October 10th
- Assignment 1 returned, solutions discussed
- If your last name begins with L through Z, then Xiaofang has your assignment
- The answer to question 1.4 part (d) is x = k*pi, where k is in Z \ {0} = {...,-2,-1,1,2,...}, not Z, as I incorrectly stated. Notice that cond(x) -> 1 as x -> 0, which means that the problem is in fact well-conditioned at x = 0.

October 17th
- Overview of QR factorization and Householder transformations
- p. 125 Example 3.8
- An example of curve fitting using QR factorization

October 24th
- Assignment 2 solutions discussed; assignment to be returned next week

October 31st
- Midterms returned, solutions discussed; If you still haven't picked up your A2, you can do so in tutorial
- IMPORTANT: Midterm grades will be adjusted 20 marks upwards

November 7th
- p. 174 Example 4.10
- p. 177 Example 4.12
- p. 212 Computer Problem 4.12

November 14th
- p. 226 Overview of fixed-point iteration (Section 5.5.2)
- p. 226 Example 5.8
- p. 229 Example 5.9
- p. 233 Overview of inverse interpolation (Section 5.5.5)

November 21st
- Assignment 3 returned, solutions discussed
- Iterative Methods for Linear Systems (Section 11.5), if time permits

November 28th
- Assignment 4 solutions discussed; assignment to be returned next week
- p. 238 Example 5.15
- p. 279 Example 6.12

DISCLAIMER: Please be advised that these are my own notes, not Rudi's.

David Kincaid and Ward Cheney, Numerical Analysis: Mathematics of Scientific Computing
Richard Burden and Douglas Faires, Numerical Analysis
Richard Hamming, Numerical Methods for Scientists and Engineers