Linear Algebra I

330 LINEAR ALGEBRA I (3+0) 3 credits

Systems of linear equations; matrix algebra; vector spaces: linear independence, bases, dimension, vector subspace configuration; linear maps, their matrix representations and structure theorems. Prerequisite: MATH 283.

Spring 2005

Course Information

Instructor:

Eric Olson

email:

ejolson at unr.edu

Office:

MWF 10am Ansari Business Building AB 614 and by appointment.

Homepage:

http://fractal.math.unr.edu/~ejolson/330/

Text:

Gilbert Strang, Introduction to Linear Algebra, Third Edition, 2003, Wellesley-Cambridge Press.

Section:

001 Math 330 Linear Algebra I

MWF 11:00-11:50am AB 206

Grading

    6 Quizzes                       10 points each (drop 1)
    6 Homework Assignments          10 points each (drop 1)
    Recitation/Participation        10 points
    2 Exams                         70 points each
    1 Final Exam                   100 points
    -------------------------------------------------------
                                   350 points total

Calendar

#   Date     Chapter     Topic
------------------------------------------------------------------------
1   Jan 19    1.1        Vectors and Linear Combinations
2   Jan 21    1.2        Lengths and Dot Products
3   Jan 24    2.1        Vectors and Linear Equations
4   Jan 26    2.2-2.3    Elimination Using Matrices

    Jan 27    Final date for adding classes; changing from letter grade 
              to S/U; changing from S/U to letter grade; changing from 
              audit to credit.  Final date for late registration and 
              paying registration fees; to receive 100 percent refund if 
              completely withdrawing from the university; to receive 
              refunds for dropping individual classes.

5   Jan 28    2.4-2.5    Matrix Operations and Inverse Matrices
6   Jan 31    2.6        Elimination and LU Factorization
7   Feb 2     2.7        Transposes and Permutations
8   Feb 4                Recitation 1 and Quiz 1
9   Feb 7     3.1        Spaces of Vectors
10  Feb 9     3.2        The Nullspace
11  Feb 11    3.3        The Rank and Row Reduced Forms
12  Feb 14    3.4        The Solution to Ax=b
13  Feb 16    3.5        Independence, Basis and Dimension 
14  Feb 18               Recitation 2 and Quiz 2

    Feb 21    Legal holiday. Offices closed. No classes.

15  Feb 23    3.6        Dimensions of the Four Subspaces 
16  Feb 25    3.6        ...continued
17  Feb 28               Recitation 3
18  Mar 2                Review
19  Mar 4                EXAM 1
20  Mar 7     4.1        Orthogonality of the Four Subspaces
21  Mar 9     4.2        Projections 
22  Mar 11    4.2        ...continued

              Final date for dropping classes.

23  Mar 14    4.3        Least Squares Approximations
24  Mar 16    4.4        Orthogonal Bases and Gram-Schmidt
25  Mar 18               Recitation 4 and Quiz 3
26  Mar 21    5.1        Properties of Determinants
27  Mar 23    5.2        Permutations and Cofactors
28  Mar 25               ...continued

    Mar 26    Spring break holiday. Offices open. No classes.

29  Apr 4     5.3        Cramer's Rule and Inverses
30  Apr 6                ...continued
31  Apr 8                Recitation 5 and Quiz 4
32  Apr 11               Review
33  Apr 13               EXAM 2 
34  Apr 15    6.1        Introduction to Eigenvalues
35  Apr 18    6.2        Diagonalizing a Matrix
36  Apr 20    6.4-6.5    Symmetric and Positive Definite Matrices
37  Apr 22               Recitation 6 and Quiz 5  
38  Apr 25    6.6        Similar Matrices
39  Apr 27    6.7        Singular Value Decomposition
40  Apr 29               SVD continued and Quiz 6
41  May 2                Review

    May 4     Prep day for final exams. Offices open. No classes

Final Exam

• Section 001 on Monday, May 9 from 9:45 to 11:45am in AB 206.

Equal Opportunity Statement

Academic Conduct