Office hours:     M,W  2pm  Th 9am 
Text:  Linear Algebra and its  Applications,  third edition, by David Lay.
Class Meetings:    M,W,F  1:10--2:00 pm,   room  196 ,  Carver Hall                                   
Topics:
Lines, planes and their descriptions
Systems of Linear equations and their solutions
Linear Transformations and their matrices
Matrices, properties, determinants
Vector  Spaces
Eigenvalues, eigenspaces
Orthogonality
Symmetric matrices and quadratic forms

Testing and Grading: 
Homework assignments will be given regularly. Students will give blackboard presentations of their solutions.
In-class quizzes will be given every week, starting the first week of classes.                  
One in-class midterm and a written final exam will be given.

 The overall grade will depend on the following percentage distribution:   Quizzes  and homework 45%,  Midterm 25%, Final 30%.  
Note, there will be no make-up exams or quizzes except in the case of medical or  family emergency.

Grading scale:
90+  A,  80+ B,  70+ C, 50+ D,  49- F.

Sample LaTex file
sample.ltx

Collection of topics

Finding bases

Homework:
1.1:  1, 7, 8,  11-14 (solve and sketch the lines
given by each equation, interpret your solution geometrically), 26, 28*.
1.2.:    1, 2, 4,  12,   13,  16,  17, 24, 31.
1.3.:     6, 7, 9, 10, 12, 17, 20, 21, 22, 31
1.4.:     2, 3, 8, 10, 12, 15, 20, 21, 25
1.5.:    14, 17, 20, 2, 29-32,  36, 37.
1.7.:    1, 2, 6, 17, 21, 23, 24, 27, 33, 36
1.8.:    6, 9, 14-16, 30
1.9.:    1, 2, 10, 11, 13, 15, 16, 17, 18,  23, 24, 36, (40 optional).
 2.1.:   2, 4, 6, 13, 18, 24, 25, 27, 32, (35 optional).
 2.2.:   2, 3, 7, 8, 13, 18, 20, 29, 30, 31, 32, 34.
 2.3.:   3-6, 11-13, 16. 
2.8. :   2,4, 5,    a) Let S be a set of 345 vectors in the plane. Prove that
            S is not a subspace, b)  Let S be a solution set to the system  Ax=0.  
            Prove that S is a subspace.
            16, 17, 19, 20,  for matrices in 23-25 find a basis for the rowspace,  
            columnspace and a nullspace. 
2.9.:    1, 3, 4, 5,  9, 10, 14,  15,  17, 18,  20, 24 
3.1.:     3-6,  10-13, 37.
3.2. :    8, 9, 12, 13, 19, 20, 23, 29, 31, 32, 35, 36, 39.
3.3.:     4, 6, 10, 13, 14, 19, 24, 30, 32.
4.1.:     1, 2, 5, 6, 9, 11, 15, 21, 29, 33
4.2.:     2, 3, 5, 7, 8, 9, 10, 12, 16, 25, 26, 28, 31, 33
4.3.:     1, 2, 3, 7, 8, 13, 14, 15, 16, 21, 23,  26.
4.4.:     2, 3, 7, 8, 13, 14
4.5.:     3, 6, 9, 12, 13, 14, 19, 20, 26
4.6.:     1, 2, 4, 6, 7, 13--16
5.1.:     6, 17, 18, matrices given in class
5.2.:     20
5.3.      1,6,9,15-18,21-24, 32
6.1. 1-8, 13, 17, 19(c,d,e), 29
6.2.   6, 10, 12, 26, 24 a)-c)
6.3. 2,  3, 4, 7, 9, 12, 23, 24

6.4.  9, 10, 11, 12

Problem bank