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
Grading:
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.
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