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.
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