MATH 235 - Linear Algebra 2
(fall semester 2004)

Announcements:
• link to spring web page
• Latest **TENTATIVE** course-grade/final/midterm/assignment marks are available here.
  • section 1;
  • section 3
  (NOTE: Check exam information webpage for the details of the marking scheme. The final exam was taken to be out of 85 rather than 90. The final column (grade/mark) will be rounded to nearest integer.)
• EIGENVALUES: The World's Largest Matrix Computation (at google); with a short explanation.
• general sections course webpage for math 235 (for course outline, assignments, etc...)
• The Tutorial Centre: Help is available on Monday & Tuesday from about 12:30 - 5:30 pm.
• Typos/notes for the text (with MATLAB files). Also available: class notes from Prof. Hewitt.
• Gilbert Strang:
  • Essay from Gilbert Strang on importance of Linear Algebra.
  • Link to MIT, linear algebra with VIDEOS!!!, see e.g.: lecture 30 on Linear Transformations; lecture 10 on Four Fundamental Subspaces; lecture 31 on Change of Basis and Image Compression
• Summer Undergraduate Research Program, Undergraduate Research in C&O at Waterloo.

Math235 is the second of two terms of linear algebra.

S. Lectures Room   Instructor  Office  Office-hours          Drop Box
01  9:30MWF MC4045   H Wolkowicz MC6065  M 2:15-3:15, T 1-2  Box #3: A-L slot 1; M-Z slot 2
02  9:30MWF MC1085   D. Younger  MC5038
03 11:30MWF EIT1015  H Wolkowicz MC6065  M 2:15-3:15, T 1-2  Box #4: A-L slot 1; M-Z slot 2
04  9:30MWF STJ2009  C.G. Hewitt STJ106

Information related to the teaching activities of Professor Henry Wolkowicz; The material is related to the course taught in the FALL SEMESTER 2004.
DISCLAIMER: Due to the nature of WWW, links and information get out of date. I provide these links in the hope that they help with the course as well as create additional interest. I do try and keep these links as current as possible, i.e. links may be added and/or deleted during the semester.
PLEASE

Assignments (solutions posted on fourth floor glass display area outside tutorial center)

• Assignment 1
  is due Wed. Sept. 17, by 2PM.
  Review: Chapter 3. and Complex Inner Product Spaces in Appendix B. Reading: Section 4.1.
  Problems:
  Markers' Comments and Scheme .
• Assignment 2
  is due Wed. Sept. 24, by 2PM.
  Reading: Section 4.2.
  Problems: Typo!!: In problem 5.1, 2. Please replace dim nullspace of the transpose of A with dim nullspace of A, i.e. remove the transpose.
  Markers' Comments and Scheme .
• Assignment 3
  is due Wed. Oct. 1, by 2PM.
  Reading: Sections 4.3,4.4.
  Problems: Clarification!!: For question 3, the (i) and (ii) parts are separate questions. Therefore you have to find the matrix representation twice for part (b) and twice again for part (c). You then use the answers to reply to question 4.
  Markers' Comments and Scheme .
• Assignment 4
  is due Wed. Oct. 8, by 2PM.
  Reading: Sections 4.5.
  Problems: Typos!!:
  For question 3a: the mappings can be defined to map P_1 --> P_2. (Though technically P_{111} -->P_{111} would work as well :-) ).
  For question 4c: the word dimension should preceed the word range (three times).
  Markers' Comments and Scheme .
• Assignment 5
  is due Wed. Oct. 15, by 2PM.
  Reading: Sections 5.1,5.2.
  Problems:
  Markers' Comments and Scheme .
• No Assignment is due Oct 22.
  Reading: Sections 5.3,5.4,5.5.
  
• Assignment 6
  is due Wed. Oct. 29, by 2PM.
  Reading: Sections 6.1.
  Problems:
  Markers' Comments and Scheme .
• Assignment 7
  is due Wed. Nov. 5, by 2PM.
  Reading: Sections 6.1,6.2.
  Problems:
• Assignment 8
  is due Wed. Nov. 12, by 2PM.
  Reading: Sections 6.4
  Problems:
  Markers' Comments and Scheme .
• Assignment 9
  is due Wed. Nov. 19, by 2PM.
  Reading: Sections 6.5 (spectral theorem)
  Problems: Typos!!:
  In question #3 the matrix is not invertible. Simply explain why there is no inverse. (You may want to try and show that there is no inverse using the Cayley-Hamilton Theorem.)

In Class 1 , Monday, Sept. 8, -- In Class 2 , Wednesday, Sept. 10 -- In Class 3 , Friday, Sept. 12
In Class 4 , Monday, Sept. 15 -- In Class 5 , Wednesday, Sept. 17 -- In Class 6 , Friday, Sept. 19
In Class 7 , Monday, Sept. 22 -- In Class 8 , Wednesday, Sept. 24 -- In Class 9 , Friday, Sept. 26
In Class 10 , Monday, Sept. 29 -- In Class 11 , Wednesday, Oct. 1 -- In Class 12 , Friday, Oct. 3
In Class 13 , Monday, Oct. 6 --- In Class 14 , Wednesday, Oct. 8 -- In Class 15 , Friday, Oct. 10
Turkey day , Monday, Oct. 13 -- In Class 16 , Wednesday, Oct. 15 -- In Class 17 , Friday, Oct. 17
In Class 18 , Monday, Oct. 20 -- In Class 19 , Wednesday, Oct. 22 -- In Class 20 , Friday, Oct. 24
In Class 21 , Monday, Oct. 27 -- In Class 22 , Wednesday, Oct. 29 -- In Class 23 , Friday, Oct. 31
In Class 24 , Monday, Nov. 3 -- In Class 25 , Wednesday, Nov. 5 -- In Class 26 , Friday, Nov. 7
In Class 27 , Monday, Nov. 10 -- In Class 28 , Wednesday, Nov. 12 -- In Class 29 , Friday, Nov. 14
In Class 30 , Monday, Nov. 17 -- In Class 31 , Wednesday, Nov. 19 -- In Class 32 , Friday, Nov. 21
In Class 33 , Monday, Nov. 24 -- In Class 34 , Wednesday, Nov. 26 -- In Class 35 , Friday, Nov. 28
In Class 36 , Monday, Dec. 1

Exams

        sect     Date         Time                  Place
MATH 235 all  9 Dec 2003 Tue 2:00 PM  5:00 PM   MC 1085,2017,2034,2035,2054
                                                   4020, 4021,4045,4059,4061

You may be interested in:

• MATLAB information (used at MIT):
  • MATLAB on Athena
  • Short MATLAB Tutorial
  • MATLAB Teaching Codes

  • Best Guide to MATLAB
  • Cool MATLAB demos by The Mathworks.
  • MATLAB Recitation Demos from 1997
• Math Forum at Drexel. With discussion groups, Ask Dr. Math, Problems of the Week, ... e.g. see Q&A College Level and Beyond; linear Algebra archives
• History of Matrices and determinants. (Sylvester originated the term matrix.)
• Our Summer Undergraduate Research Program in C & O
• On the Centrality of Linear Algebra in the Curriculum, by Carl C. Cowen, at The Mathematical Association of America.
• Further exercises in matlab can be obtained from the ATLAST Project at the Library of ATLAST M-files
  Also: VLA - Visual Linear Algebra, which runs using matlab on PCs.
• The Cayley-Hamilton Theorem, mentioned in two excercises in the text; Also some historical papers and a simple proof by Dr. Math.
• Teaching Linear Algebra, LAA article by Frank Uhlig.

H. Wolkowicz Home Page