Math 314, Linear Algebra With Applications, Spring 2008
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Week One, January 21-24, 2008
- Monday: M. L. King Jr. holiday.
- Wednesday: Systems of Linear Equations. §1.1
- Friday: Equivalent systems. Back solving. Matrices.
Upper triangular systems. §1.2
Homework 1, revised Tuesday 1/29 due February 1
at class time. (You can fax it in, but still before 1PM.)
Matlab not needed on this assignment.
- HW1 ans, revised 2/13/2008
- Do pivots need to be ones? The book thinks so.
Read the short Variations on Row Echelon Form.
on row echelon form.
- I will be posting very complete answer keys at the end
of the day the assignments are due. Hence the next item.
- NO LATE HOMEWORK will be accepted.
- The two lowest HW scores will be dropped. Talk to me
if you miss three or more assignments for unexpected reasons.
- For current office hours, etc, use the
Department Faculty Directory. You can make appointments to see me
outside of the official office hours.
Week Two, January 28 - February 1, 2008
- Monday: §1.2 continued. Row echelon form.
- Soon you will need access to Matlab (software). You
can find where Matlab is available to students
on the UNM campus at this UNM-ITS
The 2007/8 catalog lists only calculus as
a prereq for this class. No previous Matlab
experience will be assumed.
- See last weeks postings, revised. HW1 revised.
- Wednesday: Matrix Algebra §1.3
- Friday: §1.3 continued
- Slides on doing row ops in Matlab
(Not suitable for printing.)
Homework 2, due February 8
- HW2 ans. (revised 12/12/2008)
Week Three February 4-8, 2008
- Monday: multiplication by a scalar.
Definition of inverse matrices. Elementary matrices. §1.4
- Wednesday: Algorithm to invert matrices. Products of
elementary matrices. Row Equivalence. Solutions to Ax=0. §1.4
- Some had trouble finding where Leon put the item indexed
"inverse, computation of" . Try page 48, in the middle of
the paragraph above Example 4.
- Friday: Row Equivalence. Solutions to Ax=0. §1.4
Week Four February 11-15, 2008
Week Five February 18-22, 2008
Week Six February 25-29, 2008
- Monday, February 25, Midterm I
- Mid I ans.
- Wednesday: spanning, linear combinations §3.2
- Friday: Subspaces. §3.2
- Homework 5, due March 7. See posting
under next Wednesday.
- HW5 ans.
Week Seven March 3-7, 2008
Week Eight March 10-14, 2008
- Monday: §3.4, but before class,
Notes:Casting out, slow and fast.
What is a Basis (or ordered basis) good for?
- Notes: More on Casting out.
- Homework 6 (revised 3/10) Due March 24.
- HW6 ans.
- Wed: §3.5. Coordinate Vectors. See especially
the definition on page 157. See the next item if you want
Examples of how an ordered basis gives a coordinate system
- Friday: § The LU decomposition.
- Learn the word nop (no-op) from the
The New Hacker's Dictionary, under N. Sample sentance:
"I had credit-stealing boss during the late nineties and early
naughties who was such a no-op."
- Later, we'll look at the LU decomposition in more detail. For now,
here is what you missed, you there, with too much suntan:
LU and PLU factorization It is really the PLU decompositon, even if
Matlab does it with the command lu(A).
- If inverting matrices are giving you troubles, you can get
better at arithmetic or read this:
Inverting matrices with double row ops
Spring Break March 17-21, 2008
Week Nine March 24-28, 2008
Week Ten March 31 - April 4, 2008
Overall list of topics
- Monday: Linear Transformation. Preserving structure of linear combintations.
Kernel. Image. → § 4.1.
- Wednesday: Matrix represention of a linear transformation. → § 4.2
- Homework 8 April 9.
- Friday: Change of basis and linear transformations → § 4.3.
| Suggested practice problems
Week Eleven April 7-11, 2008
- Monday: Similarity → § 4.3.
- Wednesday: The scalar product (dot product) → § 5.1
- Friday: Orthogonal subscpaces → § 5.2
Week Twelve April 14-18, 2008
- Friday, April 18, Midterm II ????
Week Thirteen April 21-25, 2008
Week Fourteen April 28 - May 2, 2008
Week Fifteen May 5-9, 2008
Finals Week, May 12-16, 2008