**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

**Grading:**

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.

**Syllabus**

Exam 1 Sample

**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