Reading Schedule

Date: Last revised: July 28, 2013

Reading Instructions

The date in the first column refers to one lecture session. Here's what you should do:

1. Before class, read everything listed in the ``Reading'' column.
2. Reading Lay involves doing the short and sweet Practice Problems at the end of each chapter. (Answers are printed after the Exercises.)
3. Before class, attempt the Problems in the ``Problems'' column.
4. During class, ask questions that clarify any problems you are having with reading and homework.
5. After class, write up neat correct solutions to all the problems in the ``Problems'' column to be handed in next class.

Example

In preparation for class on August 30th, you will write up correct solutions to problems from §1.1, read §1.2, and attempt the problems of §1.2.

Warning

Days marked TENTATIVE (in red) may change over the course of the semester based on student needs. For example, I may just cover the material in less depth as a lecture and spend some time on review, instead of assigning that reading. The other days constitute the core material required by the university syllabus; dates of these may change, but content will not be changed. You should always refer to the most current online version of this table.

Where are readings from?

Readings refer to your textbook Linear Algebra and its Applications, 4e by David C. Lay, except for the ``Hefferon Topics" which can be found in the free online textbook Linear Algebra by Jim Hefferon, available under ``Resources" on the course webpage.

Reading Schedule

Due	Reading	Problems
AUG 26	none	none
AUG 28	Your course syllabus,	§1.1: 6,14,18,24,26
	Lay: Contents, Preface
	Lay: A Note to Students
	Chapter 1 Introductory Example,
	§1.1 Systems of Linear Equations
AUG 30	Documents under ``My Resources'' here	§1.1: 26.
SEP 4	§1.2 Row Reduction and Echelon Forms	§1.2: 2,10,16,22,30
SEP 6	§1.3 Vector Equations	§1.3: 2,6,8,14,22,24,34
SEP 9	§1.4 The Matrix Equation	§1.4: 2,4,8,14,24,26
SEP 11	§1.5 Solution Sets of Linear Systems	§1.5: 12,14,20,24,26,30,38
SEP 13	Class cancelled.	Be safe and dry.
SEP 16	Review what we've done so far	Answer this form before class.
		Note: quiz will cover everything so far.
SEP 18	TENTATIVE
	§1.6 Applications of Linear Systems	§1.6: 4,6,14
	Hefferon Topic: Computer Algebra Systems,	Accuracy of Computations: Exercise 3
	Hefferon Topic: Accuracy of Computations,	Use Mathematica or Sage or Wolfram Alpha or another
		computer program to check three of the linear systems in
		your past homework (check one each having no solution,
		a unique solution, or infinitely many solutions)
		Suggestions for software are under `Resources' on website.
SEP 20	§1.7 Linear Independence	§1.7: 2,4,10,18,20,22,24,30,32
SEP 23	§1.8 Introduction to Linear Transformations	§1.8: 2,4,16,18,20,22,24,36
SEP 25	§1.9 The Matrix of a Linear Transformation	§1.9: 2,4,6,8,16,18,24,26
SEP 27	TENTATIVE
	§1.10 Linear Models in Business, Science,	§1.10: 4,6,10
	and Engineering
SEP 30	Review	Study for midterm
OCT 2	Chapter 2 Introductory Example,	§2.1: 2,6,8,12,14,16,30
	§2.1 Matrix Operations	Note: Do the computations above by hand and
		check at least one of them using software.
		In future homeworks, you may do especially large matrix
		multiplications using software, but should still do some
		by hand as you will need to on exams.
OCT 4	§2.2 The Inverse of a Matrix	§2.2: 3,6,8,10,12,22,32
		Do computations by hand; later you can use software
		sometimes but not always (i.e. same note as above.)
OCT 7	TENTATIVE
	§2.3 Characterizations of Invertible Matrices	§2.3: 2,4,6,12,14,18
		Use no software on these! Efficient answers = higher grades.
OCT 9	§2.8 Subspaces of	§2.8: 2,4,6,8,10,12,14,18,22,24,32
OCT 11	§2.9 Dimension and Rank	§2.9: 2,6,8,10,14,18,24
OCT 14	Chapter 3 Introductory Example,	§3.1: 2,10,20,36,40,42
	§3.1 Introduction to Determinants	Do computations by hand; later you can use software
		sometimes but not always (i.e. same note as above.)
OCT 16	§3.2 Properties of Determinants	§3.2: 6,28,30,32,36,40
	§3.3 Cramer's Rule, Volume,	§3.3: 4,8,16,29
	and Linear Transformations
Due	Reading	Exercises
OCT 18	Chapter 4 Introductory Example	§4.1: 2,4,6,8,10,18,19,24,26,30,32
	§4.1 Vector Spaces and Subspaces
OCT 21	§4.2 Null Spaces, Column Spaces	§4.2: 2,6,12,16,20,26,28,32
	and Linear Transformations
OCT 23	§4.3 Linearly Independent Sets; Bases	§4.3: 2,4,6,8,12,16,22,23,24,26,34
OCT 25	§4.4 Coordinate Systems	§4.4: 4,8,10,14,16,20,21,30,32
OCT 28	§4.5 The Dimension of a Vector Space	§4.5: 6,10,12,14,20,22,24,26,27,30
OCT 30	§4.6 Rank	§4.6: 4,6,8,10,12,18,20,27,28

NOV 1	§4.9 Applications to Markov Chains	§4.9: 4,6,14
NOV 4	REVIEW	No homework assigned.
NOV 6	§4.7 Change of Basis	§4.7: 2,4,6,8,12,14
NOV 8	We will be working with this handout. No quiz.	You can get one problem re-graded on the midterm; hand in monday; see my email.
NOV 11	TENTATIVE
	§4.8 Applications to Difference Equations	§4.8: 2,8,16
NOV 13	TENTATIVE
	Hefferon Topic: Dimensional Analysis	Dimensional Analysis: Exercise 1
	Hefferon Topic: Crystals	Crystals: Exercise 2
	Chapter Five Introductory Example	§5.1: 2,4,8,12,18,20,22,24,32
	§5.1 Eigenvectors and Eigenvales	Note: For full marks, do exercises efficiently
		(don't find all eigenvalues/vectors and then compare)
NOV 15	§5.2 The Characteristic Equation	§5.2: 2,10,16,20,22
	§5.3 Diagonalization	§5.3: 4,6,16,18,22,26,32
NOV 18	§5.4 Eigenvectors and Linear Transformations	§5.4: 12,16
NOV 20	TENTATIVE
	§5.6 Discrete Dynamical Systems	§5.4: 2,4,6,10,20 (note section is 5.4, this is delayed hwk)
	only skim from "Complex Eigenvalues" onwards	§5.6: 2,4,8 (these are from 5.6)
NOV 22	TENTATIVE
	§5.7 Applications to Differential Equations	§5.7: 6,8,10
	Hefferon Topic: Page Ranking	Page Ranking: Exercise 3
DEC 2	Chapter Six Introductory Example	§6.1: 6,8,12,14,18,20,22,26,28
	§6.1 Inner Product, Length, and Orthogonality
DEC 4	§6.2 Orthogonal Sets	§6.2: 4,12,16,20,24,30
	§6.3 Orthogonal Projections	§6.3: 6,8,12,14,22,24
DEC 6	§6.4 The Gram-Schmidt Process	§6.4: 4,8,14,18
DEC 9	TENTATIVE
	Hefferon Topic: Voting Paradoxes	Voting Paradoxes: Exercise 3
DEC 11	none	We will be doing review
DEC 13	none	We will be doing review