Date: Last revised: July 28, 2013

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.

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.
 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