# 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:

- Before class, read everything listed in the ``Reading'' column.
- Reading Lay involves doing the short and sweet Practice Problems at the end of each chapter. (Answers are printed after the Exercises.)
- Before class, attempt the Problems in the ``Problems'' column.
- During class, ask questions that clarify any problems you are having with reading and homework.
- 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 |