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 26 — Administrative information, §1.1: Introduction Fri Aug 28 — §1.2: Vector Spaces Mon Aug 31 — §1.2: Vector spaces Wed Sept 2 — §1.3: Subspaces Fri Sept 4 — §1.3: Subspaces, §1.4: Linear Combinations and Systems of Linear Equations Mon Sept 7 — §1.4: Linear Combinations & Sys of Eqns, §1.5: Linear Dependence and Independence Wed Sept 9 — §1.5: Linear Dependence and Linear Independence Fri Sept 11 — §1.5: Linear Dependence and Linear Independence, §1.6: Bases and Dimension Mon Sept 14 — §1.6: Bases and Dimension Wed Sept 16 — §2.1: Linear Transformations, Null Spaces, and Ranges Fri Sept 18 — Exam #1 Mon Sept 21 — §2.1: Linear Transformations, Null Spaces, and Ranges Wed Sept 23 — §2.2: The Matrix Representation of a Linear Transformation Fri Sept 25 — §2.2: Matrix Repn. of a Lin Transf., §2.3: Composition of Lin Transfs. and Matrix Mult. Mon Sept 28 — §2.3: Composition of Linear Transformations and Matrix Multiplication Wed Sept 30 — §2.4: Invertibility and Isomorphisms Fri Oct 2 — §2.5: The Change of Coordinate Matrix Mon Oct 5 — §2.5: The Change of Coordinate Matrix, §2.6 Dual Spaces Wed Oct 7 — §3.1: Elementary Matrix Operations and Elementary Matrices Fri Oct 9 — §3.2: The Rank of a Matrix and Matrix Inverses Mon Oct 12 — §3.2: The Rank of a Matrix and Matrix Inverses; Exam Review Wed Oct 14 — Exam #2, covering sections 2.1, 2.2, 2.3, 2.4, 2.5, and 3.1 Mon Oct 19 — §3.2: The Rank of a Matrix and Matrix Inverses Wed Oct 21 — §3.3: Systems of Linear Equations—Theoretical Aspects Fri Oct 23 — §3.4: Systems of Linear Equations—Computational Aspects Mon Oct 26 — §3.4: Systems of Linear Equations—Computational Aspects Wed Oct 28 — §3.4: Sys of Lin. Eqns—Computational Aspects, §4.1: Determinants of order 2 Fri Oct 30 — §4.2: Determinants of order n Mon Nov 2 — §4.2: Determinants of order n, §4.3: Properties of Determinants Wed Nov 4 — §4.3: Properties of Determinants, §5.1: Eigenvalues and Eigenvectors Fri Nov 6 — §5.1: Eigenvalues and Eigenvectors Mon Nov 9 — §5.2: Diagonalizability Wed Nov 11 — §5.2: Diagonalizability Fri Nov 13 — Exam #3, covering sections 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, 4.4, and 5.1 Mon Nov 16 — §5.2: Diagonalizability, §5.3: Matrix Limits and Markov Chains Wed Nov 18 — §6.1: Inner Products and Norms Fri Nov 20 — §6.1: Inner Products and Norms, §6.2: The Gram-Schmidt Orthogonalization Process Mon Nov 30 — §6.2: The Gram-Schmidt Orthogonalization Process and Orthogonal Complements Wed Dec 2 — §6.3: The Adjoint of a Linear Operator Fri Dec 4 — §6.3: The Adjoint of a Linear Operator, §6.4: Normal and Self-Adjoint Operators Mon Dec 7 — §6.4: Normal and Self-Adjoint Operators Wed Dec 9 — §6.4: Normal and Self-Adjoint Operators Thur Dec 17 — Final Exam, covering material from the whole semester