MATH 321: Linear Algebra

Time and Place: Tuesday/Thursday 2:00 - 3:15 pm, DSH 234
Instructor: Jehanzeb H. Chaudhry (Zeb), jehanzeb@unm.edu, www.math.unm.edu/~jehanzeb
Office Hours: Tuesday and Wednesday 9:30 - 11:00 am (SMLC 310)

Texts: Linear Algebra with Applications, Second Edition 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, 4.4, 5.1, 5.2, 6.1, 6.2, 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:   September 26, during regular class hours. Sample Exam 1
Exam 2:   November 7, during regular class hours. Sample Exam 2
Final Exam:   December 12 (Tuesday), 10:00 am - 12:00 pm.

Syllabus

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

Homework 1:   Section 1.1: 8, 14, 27, 37, 38a   Section 1.2: 24, 30, 32, 44b, 46.   Assigned: Aug 31  Due: Sept 7   Solutions
Homework 2:   Section 2.1: 7, 12, 18   Section 2.2: 10, 13, 27, 43, 47, 65   Section 2.3: 11, 15 Assigned: Sept 7  Due: Sept 14   Solutions
Homework 3:   Section 2.3: 26, 54, 58, 60   Section 3.1: 2, 6, 10   Assigned: Sept 14   Due: Sept 21   Solutions
Homework 4:   Section 3.1: 14, 24, 27, 38, 48, 60, 62   Assigned: Sept 21   Due: Sept 28   Solutions
Homework 5:   Section 3.2: 9, 11, 15, 67, 74   Section 3.3: 10, 21, 22, 23, 28d, 36, 44,66, 68   Assigned: October 6   Due: October 17 (Tuesday)  Solutions
Homework 6:   Section 4.1: 13, 14, 59, 60   Section 4.2: 28, 43, 53, 57   Assigned: October 17   Due: October 26  Solutions
Homework 7:   Section 4.3: 6, 11, 24, 26, 49, 53   Section 4.4: 8, 42   Section 5.1: 32, 52, 70   Assigned: October 26   Due: November 2  Solutions
Practice Problems (Do not turn in):   Section 5.2: 4, 17, 26c, 42, 52   Section 5.3: 21   Solutions
Homework 8:   Section 6.1: 28, 40, 48, 57, 59   Section 6.2: 8, 10, 11, 22, 42   Assigned: November 14   Due: November 21 (Tuesday)   Solutions
Homework 9:   Section 7.1: 11, 24, 40   Section 7.2: 2, 25, 26, 35, 50   Section 7.3: 8, 17, 21, 28   Assigned: November 21   Due: November 30   Solutions
Homework 10:   Section 9.1: 4, 25, 26, 28  Section 8.1: 12, 19, 29, 31, 36, 58, 67   Assigned: November 30   Due: Dec 7   Solutions
Practice Problems (Do not turn in):   Section 8.2: 14, 44, 46  Solutions