MA 405-002 Tentative Class Schedule
This schedule will change. I suggest bookmarking this page to stay updated with course progress and assignments. I include relevant sections from both our textbook (Axler) and the supplemental textbook (Hefferon). Reading the textbook is only required if specified, though reading the relevant sections can only help your understanding at any time. Assignments will be posted here (with links to Moodle, if necessary) as will any required progress for the project.
Link to Recorded Lectures
Week 1: Euclidean Vector Spaces
Axler: Sections 1A and 1B
Hefferon: Chapter 2, Section I.1
Assignments: WeBWorK HW 00, due Friday, January 12, Syllabus quiz.
Project: Complete the first project assignment, this Google form.
Lecture 1 - Vector Spaces | Lecture 2 - Vector Spaces | Lecture 3 - Vector Spaces
Week 2: More Vector Spaces, Subspaces, and Spans
*No Class Monday, January 15*
Axler: Sections 1C and 2A, pages 28-31
Hefferon: Chapter 2, Section I.2
Assignments: WeBWorK HW 01, due Friday, January 19.
Project: Begin thinking about your project proposal. As an expert in your chosen field, your task is to explain to your colleagues how linear algebra can be useful. I suggest meeting with professors in your department for suggestions. You are always welcome to come to me with any questions. Project Description
Lecture 4 - Vector Spaces and Subspaces
Week 3: Span and Linear Independence
*Census Date/Official Enrollment Date is Monday, January 22*
Axler: Section 2A
Hefferon: Chapter 2, Section II.1
Assignments: WeBWorK HW 02, due Wednesday, January 24. Written Homework #1, due Friday, January 26. Solutions to Homework 1
Project: Submit your project proposal, due Friday, January 26, via Moodle or in class. Your proposal should include a brief summary of your chosen field and an explanation of how linear algebra is applied in that field. The proposal should be no more than one page.
Lecture 5 - Subspaces | Lecture 6 - Linear Combinations and Span | Lecture 7 - Span
Week 4: Linear Independence and Test
*Test on Friday, February 2 covers Vector Spaces through material covered up to this point*
Axler: Sections 2A, pages 32-36, 2B, 2C
Hefferon: Chapter 2, Sections II.1, III.1, and III.2
Assignments: WeBWorK HW 03, due Friday, February 2.
Project: Take a break this week.
Lecture 8 - Linear Independence | Lecture 9 - Linear Independence and Span Review
Week 5: Bases and Systems of Equations
Axler: Parts of Sections 3B
Hefferon: Chapter 1, Section III.1, Parts of Chapter 3, Section II.2
Assignments: WeBWorK HW 04, due Friday, February 9.
Project: Continue thinking about how new topics we learn can be applied in your field.
Lecture 10 - Bases | Lecture 11 - Systems of Linear Equations and Definition Sheet | Lecture 12 - Solving Systems of Equations
Week 6: Column Space, Null Space, and Rank-Nullity Theorem; Coordinates and Change of Bases
Axler: For review assignment, Section 3C
Hefferon: Chapter 3, Section V.I, For review assignment, Sections IV.1 and IV.2
Assignments: WeBWorK HW 05 and Written Homework #2, due Friday, February 16, Mid-Semester Course Evaluation (will be open until March 2). Solutions to Homework 2
Project: Take a break this week.
Lecture 13 - Rank and Basis | Lecture 14 - Nullity and Basis | Lecture 15 - Coordinates
Week 7: Linear Maps
Axler: Section 3A
Hefferon: Chapter 3, Sections II.1, III, IV.4
Assignments: WeBWorK HW 06, due Monday, February 19, WeBWorK HW 07, due Wednesday, February 21
Project: Submit first (very rough) draft by February 23.
Lecture 16 - Change of Basis | Lecture 17 - Matrix Multiplication and COB | Lecture 18 - Linear Maps
Week 8: Catch Up and Test
*Test on Friday, March 2 covers all material since Test 1* Study Guide for Test 2
Axler: all of the above
Hefferon: all of the above
Assignments: WeBWorK HW 08 and HW 09 due Friday, March 2, Written Homework #3, due Wednesday, February 28. Solutions to Homework 3
Project: Continue thinking about how new topics we learn can be applied in your field. I welcome revisions to your first draft at any time.
Lecture 19 - Linear Maps and Matrices | Lecture 20 - Review for Test 2 and Solutions
*Spring Break*
Week 9: More on Linear Maps, Kernel, and Range
Axler: Section 3B
Hefferon: Chapter 3, Section II.2
Assignments: WeBWorK HW 10, due Monday, March 12 and WeBWorK HW 11, due Friday, March 16
Project: Continue thinking about how new topics we learn can be applied in your field. I welcome revisions to your first draft at any time.
Lectures 21 and 22 - Products of Linear Maps and More | Lecture 23 - Kernel and Range
Week 10: Injectivity, Surjectivity, and Isomorphisms
Axler: Sections 3B and 3D
Hefferon: Chapter 3, Section I
Assignments: WeBWorK HW 12, due Friday, March 23
Project: Continue thinking about how new topics we learn can be applied in your field. I welcome revisions to your first draft at any time.
Lecture 24 - Injectivity and Surjectivity | Lecture 25 - More on Injectivity and Surjectivity | Lecture 26 - Injectivity/Surjectivity and Dimensions
Week 11: Invertibility and Eigenvalues/Eigenvectors
*No Class Friday, March 30*
Axler: Section 5A
Hefferon: Chapter 5, Section II.3
Assignments: TBD
Project: Continue thinking about how new topics we learn can be applied in your field. I welcome revisions to your first draft at any time.
Lecture 27 - Isomorphisms and Invertibility | Lecture 28 - Invertible Matrices
Week 12: Determinants and Eigenspaces
Axler: Section 5C
Hefferon: Chapter 4
Assignments: Written Homework 4, due Monday, April 2 and WeBWorK HW 13, due Friday, April 6, Mid-Semester Course Evaluation (will be open until April 13). Solutions to HW 4
Project: Continue thinking about how new topics we learn can be applied in your field. I welcome revisions to your first draft at any time.
Lecture 29 - Eigenvectors and Eigenvalues (here's extra practice) | Lecture 30 - Determinants | Lecture 31 - Determinants and Properties
Week 13: Test
*Test on Friday, April 13 covers Coordinates through Eigenspaces* Study Guide for Test 3
Axler: Section 5C and all of the above
Hefferon: Chapter 5 Sections II.1 and II.2 and all of the above
Assignments: Written Homework 5, due Wednesday, April 11, WeBWork HW 14, due Friday, April 13. Solutions to HW 5
Project: Continue thinking about how new topics we learn can be applied in your field. I welcome revisions to your first draft at any time.
Lecture 32 - Eigenspaces | Lecture 33 - Test 3 Review
Week 14 :Similarity and Diagonalizability
Axler: Sections 6A and 6B
Hefferon: Section VI.2
Assignments: WeBWorK HW 15, due Monday, April 16
Project: Hand in your final project with a paragraph explaining how you incorporated my feedback from your previous drafts on Friday, April 20. Rubric for Final Project
Lecture 34 - Similarity | Lecture 35 - Diagonalizability | Lecture 36 - Diagonalizability and Eigenvaleus
Week 15: Inner Product Spaces and Review for Final
Axler: TBD
Hefferon: TBD
Assignments: No assignments due. Optional Homework 6 Solutions to Homework 6
Lecture 37 - Inner Products | Lecture 38 - Orthogonality
*Final Exam: 8-11 am on Monday, May 7, 2018 in the usual classroom*