Schedule for Math 2600 - Linear Algebra
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, fourth edition by Stephen H. Friedberg, Arnold J. Insel, and Lawrence E. Spence.
Wed Aug 23 — Administrative information, §1.1: Introduction Fri Aug 25 — §1.2: Vector Spaces Mon Aug 28 — §1.2: Vector spaces Wed Aug 30 — §1.3: Subspaces Fri Sept 1 — §1.3: Subspaces Mon Sept 4 — §1.4: Linear Combinations & Systems of Linear Equations Wed Sept 6 — §1.5: Linear Dependence and Linear Independence Fri Sept 8 — §1.5: Linear Dependence and Linear Independence Mon Sept 11 — §1.6: Bases and Dimension Wed Sept 13 — Exam #1, covering sections 1.2, 1.3, 1.4, and 1.5 Fri Sept 15 — §1.6: Bases and Dimension Mon Sept 18 — §1.6: Bases and Dimension, §2.1: Linear Transformations, Null Spaces, and Ranges Wed Sept 20 — §2.1: Linear Transformations, Null Spaces, and Ranges Fri Sept 22 — §2.1: Linear Transformations, Null Spaces, and Ranges Mon Sept 25 — §2.2: The Matrix Representation of a Linear Transformation Wed Sept 27 — §2.3: Composition of Linear Transformations and Matrix Multiplication Fri Sept 29 — §2.3: Composition of Linear Transformations and Matrix Multiplication Mon Oct 2 — §2.4: Invertibility and Isomorphisms Wed Oct 4 — §2.4: Invertibility and Isomorphisms, §2.5: The Change of Coordinate Matrix Fri Oct 6 — §2.5: The Change of Coordinate Matrix Mon Oct 9 — Exam Review Wed Oct 11 — Exam #2, covering sections 1.6, 2.1, 2.2, 2.3, 2.4, and 2.5 Mon Oct 16 — §3.1: Elementary Matrix Operations and Elementary Matrices Wed Oct 18 — §3.2: The Rank of a Matrix and Matrix Inverses Fri Oct 20 — §3.2: The Rank of a Matrix and Matrix Inverses Mon Oct 23 — §3.3: Systems of Linear Equations—Theoretical Aspects Wed Oct 25 — §3.3: Sys of Lin. Eqns—Theoretical Aspects, §3.4: Sys of Lin. Eqns—Computational Aspects Fri Oct 27 — §3.4: Systems of Linear Equations—Computational Aspects Mon Oct 30 — §3.4: Systems of Linear Equations—Computational Aspects Wed Nov 1 — §4.1: Determinants of Order 2 Fri Nov 3 — §4.2: Determinants of Order n Mon Nov 6 — §4.3: Properties of Determinants Wed Nov 8 — §5.1: Eigenvalues and Eigenvectors Fri Nov 10 — Exam #3, covering sections 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, and 4.3 Mon Nov 13 — §5.1: Eigenvalues and Eigenvectors Wed Nov 15 — §5.1: Eigenvalues and Eigenvectors, §5.2: Diagonalizability Fri Nov 17 — §5.2: Diagonalizability Mon Nov 27 — §5.2: Diagonalizability, §5.4: The Cayley–Hamilton Theorem, §6.1 Inner Products and Norms Wed Nov 29 — §6.1: Inner Products and Norms Fri Dec 1 — §6.2: Gram–Schmidt Orthogonalization Process and Orthogonal Complements Mon Dec 4 — §6.2: Orthogonal Complements, §6.3: The Adjoint of a Linear Operator Wed Dec 6 — §6.3: The Adjoint of a Linear Operator, §6.4: Normal and Self-Adjoint Operators Sat Dec 16 — Final Exam, covering material from the whole semester