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, fifth edition by Stephen H. Friedberg, Arnold J. Insel, and Lawrence E. Spence.
Wed Aug 21 — Administrative information, §1.1: Introduction Fri Aug 23 — §1.2: Vector Spaces Mon Aug 26 — §1.2: Vector spaces Wed Aug 28 — §1.2: Vector spaces, § 1.3: Subspaces Fri Aug 30 — § 1.3: Subspaces Mon Sept 2 — §1.4: Linear Combinations & Systems of Linear Equations Wed Sept 4 — Quiz 1; §1.5: Linear Dependence and Linear Independence Fri Sept 6 — §1.5: Linear Dependence and Linear Independence Mon Sept 9 — §1.6: Bases and Dimension Wed Sept 11 — §1.6: Bases and Dimension Fri Sept 13 — Exam #1, covering sections 1.2, 1.3, 1.4, 1.5, and the first half of 1.6 Mon Sept 16 — §1.6: Bases and Dimension, §2.1: Linear Transformations, Null Spaces, and Ranges Wed Sept 18 — §2.1: Linear Transformations, Null Spaces, and Ranges Fri Sept 20 — §2.2: The Matrix Representation of a Linear Transformation Mon Sept 23 — §2.2: Matrix Representations, §2.3: Composition and Matrix Multiplication Wed Sept 25 — §2.3: Composition of Linear Transformations and Matrix Multiplication Fri Sept 27 — §2.4: Invertibility and Isomorphisms Mon Sept 30 — §2.4: Invertibility and Isomorphisms Wed Oct 2 — §2.5: The Change of Coordinate Matrix; §2.6: Dual Spaces Fri Oct 4 — §2.6: Dual Spaces; §3.1: Elementary Matrix Operations and Elementary Matrices Mon Oct 7 — §3.1: Elementary Operations and Matrices; §3.2: The Rank of a Matrix and Matrix Inverses Wed Oct 9 — §3.2: The Rank of a Matrix and Matrix Inverses Fri Oct 11 — Exam #2, covering sections 1.6, 2.1, 2.2, 2.3, 2.4, 2.5, and 3.1 Mon Oct 14 — §3.2: Matrix Inverses; §3.3: Systems of Linear Equations—Theoretical Aspects Wed Oct 16 — §3.3: Systems of Linear Equations—Theoretical Aspects Fri Oct 18 — §3.4: Systems of Linear Equations—Computational Aspects Mon Oct 21 — §3.4: Systems of Linear Equations—Computational Aspects Wed Oct 23 — §3.4: Systems of Linear Equations—Computational Aspects, §4.1: Determinants of Order 2 Fri Oct 25 — No class (fall break) Mon Oct 28 — §4.1: Determinants of Order 2, §4.2: Determinants of Order n Wed Oct 30 — §4.2: Determinants of Order n; §4.3: Properties of Determinants Fri Nov 1 — §4.3: Properties of Determinants; §5.1: Eigenvalues and Eigenvectors Mon Nov 4 — §5.1: Eigenvalues and Eigenvectors Wed Nov 6 — §5.1: Eigenvalues and Eigenvectors Fri Nov 8 — Exam #3, covering 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, and 5.1 (through characteristic polynomial) Mon Nov 11 — §5.2: Diagonalizability Wed Nov 13 — §5.2: Diagonalizability Fri Nov 15 — §5.4: The Cayley–Hamilton Theorem, §6.1 Inner Products and Norms Mon Nov 18 — §6.1: Inner Products and Norms Wed Nov 20 — §6.2: Orthogonal Projections and the Gram–Schmidt Orthogonalization Process Fri Nov 22 — §6.2: Orthogonal Projections and the Gram–Schmidt Orthogonalization Process Mon Dec 2 — §6.3: The Adjoint of a Linear Operator Wed Dec 4 — §6.4: Normal and Self-Adjoint Operators Mon Dec 9 — Final Exam, 9:00–11:00am, covering material from the whole semester