Math 314 Linear Algebra

Spring 2007, Ed Bueler

Ed Bueler: felb@uaf.edu, x7693
Office: Chapman 301C
(Office Hours here.)

Class times and room:
MWF 10:30am --11:30am Bunnell 410

Text: Kolman and Hill, Elementary Linear Algebra, 8th ed. Pearson 2004

Link to Syllabus


LINKS:
 Schedule:  (my PLANNING document, version 5/10/07)

Day

Textbook Section
Topic
Assigned or Due
W 1/17
1.1
Introduction.  Naive linear systems.  Some definitions.
A #1 assigned:
1.1:    3, 5, 6, 9, 11, 15, 16, 19, 27, 28, 32, 33  [FIXED!]
1.2:    5, 7ab, 9, 11, 12, 13, 15

F 1/19
1.2
Matrices.  More definitions and notation.

M 1/22

cont.

W 1/24
1.3 Matrix multiplication.  Matrix form of linear systems; augmented matrices. A #1 DUE (updated due date)
A #2 assigned: 
1.3:  11, 14abef, 16, 17ab, 18, 19, 23, 24, 25, 26, 27, 28, 34, 36, 39, 47, 48
1.4:  1, 2, 5, 6, 7, 8abc, 10, 11, 13, 14, 17, 24, 33, 34

F 1/26
1.4
In-class Matlab session: session314_012607.txt
Matrix algebra.

M 1/29

Cont.

W 1/31
1.5
Nonsingular = invertible.  Linear systems and inverses. A #2 DUE
A #3 assigned: 
1.5:   1, 3, 4, 5, 7, 9, 10, 11, 12, 13, 17, 18, 27, 28, 30, 32, 35, 50, 51, 54
1.6:   1, 2, 4, 7, 8, 9, 10, 16, 19
Page 552:  "ML.1" and "ML.2" under the heading "Basic Matrix Properties".  "ML.1" and "ML.2" under the heading "Matrix Operations".
F 2/2
1.6
Examples in 2 and 3 dimensions of:  Matrices act on vectors to produce new vectors.

M 2/5
1.7 In-class Matlab session:  session314_020507.txt
Example of matrix transformation: planar graphics.

W 2/7
2.1
Row echelon form and reduced row echelon form.  Elementary row operations.
A #3 DUE
A #4 assigned: 
2.1:   1, 2, 3, 4b, 4c, 7a, 7c, 8a, 8b, 9b, 14, 15, 17, 19, 20, 28, 29, 30
2.2:   2, 3, 4, 6, 7, 8, 9ac, 10ad, 11ac, 13, 14, 15, 18ab, 23, 24, 25, 26, 32, 33

F 2/9

Examples.

M 2/12
2.2
Elementary matrices and finding inverses.
rrefmovie.m

W 2/14

cont

F 2/16

questions/review
A #4 DUE; selected solutions distributed in class
M 2/19
[14 lectures to here]
Midterm I  (in class)

Will cover sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 2.1, 2.2.  All non-Matlab homework questions, and similar questions, are fair game.  No computers  or calculators allowed.
W 2/21
3.1 what makes a vector a vector?
A #5 assigned: 
3.1:   1, 3, 7, 13, 14, 15, 17, 18, 21, 22
3.2:   2, 3, 4, 6, 9, 11, 15, 19
3.3:   2, 3, 7, 9, 11, 12, 13, 19, 20, 24, 27, 29, 30
F 2/23
3.2
vector spaces: definition, examples, non-examples

M 2/26
3.3
subspaces

W 2/28

cont.

F 3/2
3.4
span and linear independence
A #5 DUE
A #6 assigned: 
3.4:   2ab, 3, 4, 5, 6, 7, 8, 11, 12, 14, 16, 17, 20, 23
3.5:   1, 2ab, 3, 4ab, 5ab, 6, 7, 8, 9, 11, 13, 14, 16, 17, 30, 33, 34, 36, 37, 41, 42

M 3/5

cont.

W 3/7
3.5 basis  and dimension

F 3/9

cont.
A #6 DUE
3/12--3/16

SPRING BREAK

M 3/19
3.6 homogeneous systems A #6 DUE (updated due date)
A #7 problems assigned *in class*
W 3/21
3.7
coordinates and isomorphisms
A #7 problems assigned *in class*
F 3/23

CLASS CANCELLED
M 3/26

cont.
A #7 is this: 
3.6:   1, 7, 10, 11, 13, 16, 22, 23
3.7:   2, 3, 6, 9, 10, 14, 21
W 3/28
3.8 rank
A #7 DUE  (will be assigned in class)
F 3/30

review for Mid II; rank cont.

M 4/2
[14 more  lectures to here] Midterm II  (in class)

CORRECTED Matlab Part
(problem 4 fixed; due date moved to 4/6)
Will cover sections 3.1, 3.2, 3.3., 3.4, 3.5, 3.6, 3.7.  All non-Matlab homework questions, and similar questions, are fair game.  No computers  or calculators allowed.  You may bring 1/2 sheet of letter paper with anything you want on each side.
W 4/4
4.1 Matlab part DUE
rank cont.;
length of vectors and inner products in R3 and R3
A #8 assigned: 
3.8:   1, 2, 3, 6, 7, 9a, 10a, 11,12a, 14a, 17a, 20a, 29, 30
4.1:   1, 3, 6, 7, 10, 12, 13 (R2 case only), 16, 25, 26, 28
4.3:   8, 10, 11
F 4/6
4.3
Matlab part DUE
inner products

M 4/9

cont

W 4/11

cont
A #8 DUE
A #9 assigned: 
4.3:  2, 3 6, 7abc, 13, 14, 17, 19, 20, 28, 29, 32, 33
4.4:   1, 2, 3, 10, 11, 20, 23, 28
4.6:   2, 3, 6, 10
F 4/13
4.4
orthogonal bases and Gram-Schmidt

M 4/16
4.6
least squares

W 4/18
5.1
linear transformations
A #9 DUE
A #10 assigned: 
5.1:  2, 9, 10, 11, 12, 23, 24, 26, 15, 16, 17, 32
5.2:  1, 3
F 4/20
5.2
kernels and theorems

M 4/23
6.1
determinants

W 4/25
6.2
cont.
A #10 DUE
A #11 (REVISED!) assigned: 
6.1:  2, 3, 4, 8, 10, 11, 12, 14, 16
6.2:  1ace, 2abe, 6a, 8, 9
7.1:  1, 2, 5ab, 6ab, 8ac, 9b, 10c, 11, 14, 21, 22, 24b
F 4/27

UAF Spring Fest (no classes)
M 4/30
7.1
eigenvalues and eigenvectors

W 5/2

cont

F 5/4
7.2 similarity and diagonalization
Final Exam MATLAB PART distributed in class and here:
finalMATLAB_m314s07.pdf
solutions:
final_matlab_solns.txt
A #11 DUE
A #12 assigned: 
7.1:  1, 2, 5ab, 6ab, 8ac, 9b, 10c, 11, 14, 21, 22, 24b
7.2:  6ac, 7ab, 10acd
8.1:  1, 3, 6
M 5/7
8.1 linear differential and difference equations Solutions to A #12 distributed in class
W 5/9
[15 lectures to here] FINAL EXAM (in class part)
10:15am--12:15pm
Bunnell 410
Final Exam MATLAB PART DUE in class  at 10:15am
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