# MATH 321: Linear Algebra

Time and Place: Tuesday/Thursday 9:30 am - 10:45 am, DSH 333
Instructor: Jehanzeb H. Chaudhry (Zeb), jehanzeb@unm.edu, www.math.unm.edu/~jehanzeb
Office Hours: Tuesday 2:00 pm - 3:30 pm, Wednesday 9:30 am - 11:00 am (SMLC 202)

Texts: Linear Algebra with Applications, by Jeffrey Holt. (Publisher: Freeman).
Prerequisites: Math 264

Course Description:   Math 321 is an introductory course in linear algebra geared towards mathematics and physics majors. The course is designed to teach the concepts and techniques of basic linear algebra as a rigorous mathematical subject. Besides computational proficiency, there is an emphasis on understanding definitions and theorems, as well as reading, understanding, and creating proofs. The main topics of the course include: linear systems, matrices, determinants, eigenvalues and eigenvectors, diagonalization, vector spaces, norm and inner product spaces, linear transformations, representations. The course includes topics from Chapters 1-9, though not every section will be covered.

Tentative List of Sections to be Covered   1.1, 1.2, 2.1, 2.2, 2.3, 3.1, 3.2, 3.3, 4.1, 4.2, 4.3, 5.1, 5.2, 6.1, 6.3, 6.4, 7.1, 7.2, 7.3, 8.1, 8.2, 8.4, 8.5, 9.1, 9.2, 9.3

30% Homework
20% Exam 1
20% Exam 2
30% Final Exam

Important Dates:
Exam 1:   March 1 (Tuesday), during regular class hours. Solutions
Exam 2:   April 5 (Tuesday), during regular class hours. Solutions
Final Exam:   May 10 (Tuesday), 7:30 - 9:30 am.

Homework
All HW's are due at the beginning of class on the due date.

Homework 1:   Section 1.1: 8, 21, 26, 35, 38   Section 1.2: 22, 26, 27, 48, 49.   Assigned: Jan 26  Due: Feb 4   Solutions
Homework 2:   Section 2.1: 8, 17, 28   Section 2.2: 11, 14, 28, 40, 62   Section 2.3: 10, 27, 54, 60 Assigned: Feb 4  Due: Feb 11   Solutions
Homework 3:   Section 2.3: 58, 73   Section 3.1: 6, 10, 14, 46, 60   Assigned: Feb 11  Due: Feb 18  Solutions
Homework 4:   Section 3.1: 26, 38,62   Section 3.2: 8, 11, 14a, 53, 62b   Section 3.3: 6, 21, 23, 25, 28b, 46, 66, 67   Assigned: Feb 18  Due: Feb 25 in class (Recommended) or Feb 26 by 5:15 pm  Solutions Proof by Contradiction Example
Homework 5:   Section 4.1: 14, 63, 68   Section 4.2: 28, 42, 57, 61   Section 4.3: 6, 12, 24, 47, 55   Assigned: Mar 10   Due: Mar 24   Solutions
Homework 6:   Section 5.1: 33, 50, 71   Section 5.2: 4, 17, 26 (d), 42, 52   Section 5.3: 22   Assigned: Mar 24   Due: Mar 31   Solutions
Practice problems for Section 6.1 (Do not turn in):   21, 43, 47, 57   Solutions
Homework 7:   Section 6.1: 28, 44, 48, 57   Section 6.3: 10, 44   Section 6.4: 6, 10, 20, 44   Assigned: Apr 7   Due: Apr 14   Solutions
Homework 8:   Section 7.1: 11, 26, 42   Section 7.2: 3, 26, 36, 54   Assigned: Apr 14   Due: Apr 21   Solutions
Homework 9:   Section 7.3: 17, 22, 28   Section 9.1: 4, 23, 27   Section 8.1: 11, 27  Assigned: Apr 21   Due: Apr 28   Solutions
Homework 10:   Section 8.1: 19, 54, 69   Section 8.2: 14, 48, 50   Section 8.5: 12, 34, 38 (For 38, setup the normal equations, but you do not have to solve them).  Assigned: Apr 28   Due: May 5   Solutions