MTH 215 (01) (Linear Algebra) Spring 2009

Instructor: R. A. Beauregard

Office/Hours: Lippitt 202K, Tues, Wed, Thurs 11:30-12:30

Text: Linear Algebra (third ed)  by Fraleigh & Beauregard

Attendance at each class is expected.

The following calendar gives a timetable for the course. You should work out most of the problems given below.

Week

Events

Sections

Problems

Jan 19

Classes start:  Wed Jan 21

1.1 Vector in n-space 

1,9,13,18,21,27,33,35,38,39                  

Jan 26

 

1.2 Dot products 

1.3 Matrices 

1-33 odd

6, 11-21, 40, 42

Feb 2

 

 

 

1.4 Systems of linear eqs

1.5 Inverses of square matrices

1, 4, 7, 10, 13, 21, 23, 25, 27, 29, 41, 43, 45, 49

3, 5, 7, 9, 11, 15, 17, 23, 24, 26, 27, 31, 33

Feb 9

  

 

1.6 Homogeneous systems, subspaces, bases

2.1 Independence & dimension

1-19 odd, 25-31, 38, 45

 

1-31 odd

Feb 16

No Mon classes, Mon classes meet Wed.  

Test # 1: Tuesday

2.2 Rank

1-13 odd, 17

Feb 23

 

2.3 Linear transformations

3.1 Vector spaces

1-31 odd

9-23 odd, p. 202: 1-6

Mar 2

 

3.2 Concepts of vector spaces

3.3 Cooodinatization 

1-25 odd, 26, 29, 31

1-11 odd, 19, 21, 22

Mar 9

    Test # 2:  Thursday

3.4 Linear transformations

1-7, 16-21, 29

Mar 16

Spring Break 

Spring Break

Spring Break

Mar 23

Last day to drop:       Mar 24

4.1 Areas, vols, cross product

 4.2 Determinants

1-51 odd

1-32 odd

Mar 30

 

 

4.3 Cramer’s Rule 

5.1 Eigenvalues  

 

1-35 odd

1-31 odd, 26

 

Apr 6

 

 

5.2 Diagonalization

6.1 Projections

1-18, 21

1-23, 28, 29, 31, 33

Apr 13

     Test #3: Tuesday

6.2 Gram-Schmidt

1-25 odd

Apr 20

 

 

6.3 Orthogonal matrices

6.4 Projection matrix

3, 4, 9-25, 32-36

1-31 odd

Apr 27 

Last day :Apr 29 

 6.5 Least squares

 1, 5-8, 11, 16-21