Linear Algebra - Math 3333
Sections 001 and 003

Instructor

Garrett Alston
galston...math.ou.edu
Office: 528
Office Hours: T 10:30-11:30, R 8-9

Time and place:

Section 001
TR 9-10:15, PHSC 0323

Section 003
TR 1:30-2:45, PHSC 102

Text

Elementary Linear Algebra with Applications, Ninth Edition, Kolman and Hill

Overview

We will cover standard topics in linear algebra, including: solving linear systems, vector spaces, linear transformations, inner product spaces, and eigenvalues.
We will do computations and abstract theory.
We will try to do as many applications as possible to science and other areas of math.
There will be a heavy computer component to the class. We will use MatLab to do many calculations, and some homework assignments will require the use of MatLab or a similar program. MatLab is installed on many university computers and is available for free for students through OU IT Store. SciLab and Octave are two open-source alternatives to MatLab and be found at www.scilab.org and www.gnu.org/software./octave.
If you have a laptop, you might find it useful to bring it to class to follow along with the computer demonstrations. Some class time will be spent doing computer work.
In addition to computer software, it will be helpful to have a graphing calculator capable of doing matrix math. Graphing calculators will be allowed on exams and quizzes, but laptops will not.
There will be two types of homeworK: WebWork and traditional written homework. WebWork will be due on Wednesdays at 10 pm and written homework will be due on Tuesdays in class.
There will be a short 10 minute quiz every Thursday in class. It will cover the material of the homework due that week.

Grades

10% Webwork
10% Homework
10% Quizzes (lowest 2 quiz scores will be dropped)
20% Exam 1
20% Exam 2
30% Final Exam

Grading Policy

All problems on graded assignments except webwork will be worth 3 points. Your score will be determined by how much progress you make towards a complete, correct solution, and how well you explain your solution. In particular, you must show your work and not make unexplained leaps of logic or skip significant steps. Here is a breakdown of the score levels:

3 points: complete, correct solution, a few small arithmetic errors or other minor errors are okay (A level work)
2 points: substantial progress towards a solution but still missing a key idea or step; or a mostly correct solution but with some more serious algebra/arithmetic errors that change the solution slightly (B,C level work)
1 points: a first step or steps toward a correct solution such as a correct formula or expression of a correct plan; an algebra mistake or other mistake that changes the solution significantly may result in this score (D level work)
0 points: no progress towards a correct solution (F level work)

You should write your solutions in a neat, step-by-step, orderly way. Basically, they should be clear enough that another student reading your solution would be able to follow each step and understand how the solution works. You don't need to write words (although sometimes a word or two can be helpful), but instead focus on using mathematical language and symbols to correctly express how your solution goes. Random non-applicable or incorrect formulas and calculations will also be penalized and may result in moving down the grade scale.

Your final letter grade will be based on a curve (to be determined). Homework, webwork, quizzes, and exams will be weighted as mentioned above in the Grades section.

Exam Dates

Exam 1: Thursday, Feb. 18
Exam 2: Thursday, March 31
Final Exam:
Section 001 Tuesday May 10, 8-10 am
Section 003 Wednesday May 11, 1:30-3:30

Calculators are allowed.

Missed work policy

No late homework will be accepted. No makeup exams or quizzes, except in the case of excused absence (illness with doctor's note, etc.).

Academic misconduct statement

All cases of suspected academic misconduct will be referred to the Dean of the College of Arts and Sciences for prosecution under the University’s Academic Misconduct Code. The penalties can be quite severe. Don’t do it! For more details on the University’s policies concerning academic misconduct consult http://www.ou.edu/integrity/.

Students are also bound by the provisions of the OU Student Code, which can be found at http://judicial.ou.edu/.

Students with disabilities

The University of Oklahoma is committed to providing reasonable accommodation for all students with disabilities. Students with disabilities who require accommodations in this course are requested to speak with the instructor as early in the semester as possible. Students with disabilities must be registered with the Office of Disability Services prior to receiving accommodations in this course. The Office of Disability Services is located in Goddard Health Center, Suite 166: phone 405–325–3852 or TDD (only) 405–325–4173.

The Key to Success in Math Classes

The only way to learn math is to do problems. It is okay to work with others, but if you do, make sure that you know how to do the problems on your own. This may mean redoing the problems on your own to make sure you understand. If you have good homework scores but bad quiz and exam scores then you are probably not doing homework in the best way. Please come talk to me so we can come up with a plan to correct things.

WeBWorK

Due on Wednesdays at 10 pm. The website for WeBWorK is https://webwork.math.ou.edu/webwork2/alston_math3333_001_spring2016/ (this website is for both sections 001 and 003, despite what the name suggests). To login, your username is your OU 4x4, and so is your password. Change your password after logging in for the first time.

Written Homework Assignments

HW #	Due Date	Problems
1	2/2	Section 2.1: 13 Section 2.2: 12, 18, 35 (see p. 105-107), 40 (see p. 111-113)
2	2/9	Section 1.4: 16, 28 (see p. 18 for transpose), 36, 37, 38
3	2/16	Homework 3, solutions
4	2/23	Section 4.2: 2, 8, 12, 15, 19
5	3/8 (note this is a 2 week assignment!)	Homework5.pdf, Homework5.zip (corrected version uploaded on 3/1/16 at 2:50 pm), program solutions, command solutions
6	3/24 (note this is due on Thursday after spring break)	Homework6.pdf (for fun: matlab function to compute Fibonacci numbers), solutions
7	3/29 (note this is due on Tuesday again)	Section 4.7: 22 Section 4.8: 4, 16, 38, 43
8	4/12	Homework 8, addendum, solutions
9	4/19	Section 6.1: 33 Section 6.2: 24, 25, 28, 31
10	4/26	Section 5.1: 29, 31, 32, 35, 40
11	5/3	Section 5.4: 21, 32 Section 5.5: 20 (see Example 7 on page 342) Section 7.1: 14, 26

Daily Syllabus

01/19: Linear Systems (Section 1.1), MatLab files: Lecture1.m, Data1.m, SciLab files: Lecture1.sci, Data1.sci
01/21: Row reduction, solving systems (Sections 2.1, 2.2), no homework or quiz

01/26: More on systems Exercise3a.m, Exercise3b.m
01/27: WeBWorK Problem Set 1 due at 10 pm
01/28: Matrix arithmetic, matrix equations (Sections 1.2-1.5), Quiz 1, solutions

02/02: Matrix arithmetic, matrix equations continued (Sections 1.2-1.5), Written Homework 1 due
02/03: WeBWorK Problem Set 2 due at 10 pm
02/04: Matrix inverses (Section 2.3), Quiz 2, solutions, Lecture6.m

02/09: Matrix transformations (Section 1.6), Written Homework 2 due
02/10: WeBWorK Problem Set 3 due at 10 pm
02/11: Rotations in 3 space, Homework 3 worksheet, solutions, Quiz 3 001 solutions, 003 solutions

02/16: Vector spaces (Section 4.2), Written Homework 3 due
02/17: WeBWorK Problem Set 4 due at 10 pm
02/18: Midterm 1, Covers Weeks 1-4 (Chapters 1,2 and rotations in 3-space), 001 Solutions, 003 Solutions

02/23: Subspaces (Section 4.3), Written Homework 4 due
02/24: WeBWorK Problem Set 5 due at 10 pm (only 4 problems this time!)
02/25: Span and linear Independence (Sections 4.4, 4.5), Quiz 4, 001 Solutions, 003 Solutions

03/01: Span and linear independence (Sections 4.4, 4.5), no written homework due today (Homework 5 is a 2 week assignment, due next Tuesday)
03/02: WeBWorK Problem Set 6 due at 10 pm
03/03: Basis and Dimension (Section 4.6), Quiz 5 solutions

03/08: Basis and dimension continued
03/09: WeBWorK Problem Set 7 due at 10 pm
03/10: in class work, Written Homework 5 due at 4 pm, program solutions, command solutions, take home Quiz 6 (due on Tuesday 3/22) Section 001 quiz solutions, Section 003 quiz solutions

03/14-03/18: Spring Break

03/22: Geometry of solution sets, coordinates (Sections 4.7 and 4.8)
03/23: no webwork this week
03/24: Rank and nullity (Section 4.9), written Homework 6 due, solutions, Quiz 7 solutions

03/29: Determinants (Chapter 3), written homework 7 due
03/30: WeBWork Problem Set 8 due at 10 pm
03/31: Exam 2, covers Chapter 4, some practice questions, 001 Solutions, 003 Solutions

04/05: Determinants continued, no written homework
04/06: WeBWork Problem Set 9 due at 10 pm
04/07: Linear Transformations (Sections 6.1 and 6.3), Quiz 8 postponed to 4/12, 001 solutions, 003 solutions

04/12: Linear Transformations continued (Section 6.2), Quiz 8, written homework 8 due
04/13: WeBWork Problem Set 10 due at 10 pm
04/14: worksheet, Quiz 9 solutions

04/19: Worksheets continued, written Homework 9 due
04/20: WeBWork Problem Set 11 due at 10 pm
04/21: Inner products (Sections 5.1), Quiz 10, solutions

04/26: Inner products continued (Sections 5.4, 5.5), written Homework 10 due
04/27: no webwork due today -- due on Friday instead
04/28: Eigenvectors, eigenvalues, diagonalization (Sections 7.1, 7.2), takehome Quiz 11, solutions
04/29: WeBWorK Problem Set 12 due at 10 pm

05/03: Diagonalization of symmetric matrices (Section 7.3), applications to differential equations (Section 8.4), written Homework 11 due
05/04: WeBWorK Problem Set 13 due at 10 pm
05/05: Singular value decomposition (Section 8.2), applications to image compression, code, Quiz 12, solutions

Additional Materials

MatLab tutorials

SciLab for Beginners
Introduction to SciLab

Linear Algebra - Math 3333Sections 001 and 003