This page gives the tentative and ever-evolving schedule of sections/topics covered in each class. I will aim to have the topics for each class posted at least a week in advance, and will modify the schedule after the fact to reflect what was actually covered.
It is important that read along in the text as we cover material in class. I recommend that you read the relevant sections in advance so that you are better prepared participate in class discussion.
Section numbers refer to our textbook:
Linear Algebra, fifth edition by Stephen H. Friedberg, Arnold J. Insel, and Lawrence E. Spence.
Tue Jan 7 — Administrative information, §1.1: Introduction
Thu Jan 9 — §1.2: Vector Spaces; Worksheet 1
Tue Jan 14 — §1.2: Vector spaces
Thu Jan 16 — §1.3: Subspaces; Worksheet 2
Tue Jan 21 — §1.3: Subspaces, §1.4: Linear Combinations and Systems of Equations
Thu Jan 23 — §1.4: Linear Combinations and Systems of Equations, §1.5: Linear Dependence
Tue Jan 28 — §1.5: Linear Dependence and Linear Independence; Worksheet 3
Thu Jan 30 — §1.6: Bases and Dimension
Tue Feb 4 — §1.6: Bases and Dimension
Thu Feb 6 — Exam #1, covering sections 1.2, 1.3, 1.4, 1.5, and 1.6
Tue Feb 11 — §2.1: Linear Transformations, Null Spaces, and Ranges
Thu Feb 13 — §2.1: Linear Transformations, Null Spaces, and Ranges; Worksheet 4
Tue Feb 18 — §2.1: Linear Transformations; §2.2: The Matrix Representation of a Linear Transformation
Thu Feb 20 — §2.2: The Matrix Representation of a Linear Transformation; Worksheet 5
Tue Feb 25 — §2.3: Composition and Matrix Multiplication
Thu Feb 27 — §2.4: Invertibility and Isomorphisms; Worksheet 6
Tue Mar 10 — Classes cancelled due to COVID-19
Thu Mar 12 — Classes cancelled due to COVID-19
Tue Mar 17 — §2.5: The Change of Coordinate Matrix, §3.1: Elementray Operations and Matrices
Thu Mar 19 — §3.2: The Rank of a Matrix
Tue Mar 24 — §3.2: Matrix Inverses; §3.3: Systems of Equations: Theoretical Aspects
Thu Mar 26 — §3.3: Systems of Eqns ‐ Theoretical Aspects, §3.4: Systems of Eqns ‐ Computational Aspects