Math 308A & D Autumn 2012 Syllabus and Schedule

This schedule will evolve and be amplified as the quarter progresses.  Section numbers refer to Poole, Linear Algebra: A Modern Introduction (3rd edition)

Week

Monday

Wednesday

Friday

1

9/24

Vector Review

Chapter 1

9/26

Solving Linear Equations

Sections 2.1-2.2

9/28

Solving Linear Equations

Sections 2.1-2.2

2

10/1

Span & Linear Independence
Section 2.3

10/3

Span & Linear Independence
Section 2.3

10/5

Applications from Chapter 2

3

10/8
Intro Matrices
Sections 3.0 -3.1-3.2

10/10

Intro Matrices
Sections 3.1-3.2

10/12

Matrix Algebra and Inverses

Sections 3.2-3.3

4

10/15 –

Matrix Algebra and Inverses

Section 3.3

10/17

LU Factorization?
Section 3.4?

10/19
MIDTERM 1

5

10/22

Subspaces
Section 3.5

10/24

Basis, Dimension, Rank, Nullity

Section 3.5

10/26

No class/watch MIT video

6

10/29

Bases of Matrix Subspaces

10/31

Linear Transformations
Section 3.6

 

11/2

Eigenvalues/vectors: 2x2 case

Sections 4.0 - 4.1

7

11/5

Determinants
Section 4.2

11/7

Eigenvalues/vectors: nxn case

Section 4.3

11/9

Similarity and Diagonalization
Sections 4.3 – 4.4

8

11/12

HOLIDAY

11/14
Eigentheory review

11/16

MIDTERM 2

9

11/19

Orthogonality
Sections 5.0 – 5.1

11/21

Orthog. Projection
Sections 5.1 – 5.2

11/23

HOLIDAY

 

10

11/26

Gram-Schmidt
Sections 5.2 – 5.3

11/28

Gram-Schmidt - QR

Section 5.3

11/30

Least Squares

Section 7.3

11

12/3

Least Squares

Section 7.3

12/5

Symmetric Matrices
Section 5.4

12/7
Review

Exam Week

12/10: 8:30-10:20
308D FINAL EXAM

12/12: 8:30-10:20
308A FINAL EXAM