Trent University, Fall 2009

Mathematics 1350H

*Linear algebra I: matrix algebra*

(Formerly Mathematics 135H.)

MATH 1350H is a first-year linear algebra half-course emphasizing basic concepts and computational techniques. It is normally followed up by MATH 2350H *Linear algebra II: vector spaces*.

**Prerequisite:** Any Grade 12U mathematics course with at least 60%, or equivalent. Anyone who wants to take MATH 1350H without having the prerequisite should contact the instructor.

Some useful general tips for first-year mathematics students are given in the pamphlet (in PDF format) Enjoying Math!

Instructor | Text | Marking | Meetings | Content | Honour | Help! | Aids | Inspiration | Handouts & Work | Other sources

Course Evaluation Form Print it out, fill it in, and send it in! |
Exam Period Office HoursMonday, 14 December, 10:00-12:00 Thursday, 17 December, 10:00-13:00 Monday, 21 December, 10:00-13:00 |
Pre-Exam Study TeaFriday, 18 December 10:00-14:00 in GCS 338 |
Final ExamTuesday, 22 December 14:00-17:00 in CC Great Hall |

Stefan Bilaniuk

*office:* GCS 337

*hours:* Monday, Wednesday, Thursday, and Friday 13:00-13:50, or by appointment, or just drop by.

*phone:* 705 748-1011 x7474

*home phone:* 705 742-7862 [Do *not* call between 10 p.m. and 8 a.m. unless it's an emergency.]

*e-mail:* `sbilaniuk{at}trentu{dot}ca`

*web:* `http://www.trentu.ca/mathematics/sb/`

Linear Algebra: A Modern Introduction (Second Edition), by David Poole

Thompson Brooks/Cole, 2006, ISBN 0-534-99845-3

*Lectures:*Monday 11:00-11:50 in OCA 203, Wednesday 15:00-15:50 in~~ECC 201~~FPLH 117, and Friday 12:00-12:50 in FPLH 117.*Tutorials:*Wednesday 16:00-16:50 in ECC 208, Thursday 10:00-10:50 in ECC 208, and Thursday 11:00-11:50 in ECC 208.

There will be at least nine weekly quizzes, five or six fortnightly assignments, a test, and a final examination. Quizzes will normally be written weekly in the Friday lectures and last between ten and twenty minutes apiece. The assignments will usually be handed out and collected every two weeks in the Friday lectures. The test will last fifty minutes and will probably be written during the lecture period on Monday, 3 November. The final examination will last three hours and will be written during the examination period in December. These will weigh as follows in the final mark:

Best 8 quizzes (4% ea.) | 32% |

Best 4 assignments (5% ea.) | 20% |

Test | 15% |

Final Examination | 33% |

Students who miss the test or more than one quiz for reasons beyond their control should contact the instructor as soon as possible to arrange to write a make-up. Assignments will not normally be accepted after the due date; students unable to hand in the assignments in time for reasons beyond their control should contact the instructor as soon as possible. Note that there is no attendance requirement

This scheme may be modified for students in *exceptional* circumstances, such as a lengthy absence due to illness. Any such modification will require the agreement of both the student and the instructor.

Please note that a deadline given in the printed version of the Academic Calendar is incorrect: *students actually have until 13 November, 2009, to drop Fall term half-courses without academic penalty.*

MATH 1350H is an introductory course on linear algebra, with an emphasis on the geometrical and computational aspects of the subject. We will cover the core material from Chapters 1--4 of the text, namely:

- Vectors and operations on vectors, lines, and planes
- Systems of linear equations
- Matrices and operations on matrices
- Bases, subspaces, and dimension
- Linear transformations
- Eigenvalues and determinants

Additional material, including applications not given in the text, may be covered on assignments and in tutorials. We will not attempt to cover all of the applications that the text describes.

The obligatory statement concerning **academic integrity** reads as follows:

Academic dishonesty, which includes plagiarism and cheating, is an extremely serious academic offence and carries penalties varying from a 0 grade on an assignment to expulsion from the University. Definitions, penalties, and procedures for dealing with plagiarism and cheating are set out in Trent University's Academic Integrity Policy. You have a responsibility to educate yourself - unfamiliarity with the policy is not an excuse. You are strongly encouraged to visit Trent's Academic Integrity website to learn more -www.trentu.ca/academicintegrity.

For clarity, the following guidelines will apply in MATH 1350H:

You are permitted and encouraged to study together and to work together on the assignments, consult any books or other sources you wish, and ask anyone willing (especially the instructor!) for hints, suggestions, and help. However,

you must write up all work submitted for credit entirely by yourself, giving due credit to all relevant sources of help and information. No aid may be given or received on the quizzes, test, and final exam, except with the intructor's permission.

Subject to the conditions mentioned above, you can get help from a number of different sources, especially from each other and from the instructor. Other possibilities include:

- The student-staffed Mathematics Drop-In Centre, which will start operating in the second week of the term. (Monday, Tuesday, and Wednesday 13:00-15:00, Thursday 14:00-15:00, and Friday 13:00-14:00, all in GCS 338.)
- The Mathematics instructor at the Academic Skills Centre, Lisa Davies, who is especially useful if you have gaps in (or have simply forgotten) your high school mathematics. Wednesday 15:00-17:00 she'll be in GCS 338. You may book appointments with her through the Academic Skills Centre by telephone at 705 748-1720 or by e-mail at
`acdskills{at}trentu{dot}ca`. - Private tutoring by upper-year students. Ask the instructor for suggestions!

In some circumstances you may also be eligible for special help or accommodation. The obligatory statement concerning **access to instruction** reads as follows:

It is Trent University's intent to create an inclusive learning environment. If a student has a disability and/or health consideration and feels that he/she may need accommodations to succeed in this course, the student should contact the Disability Services Office (Bata Library Suite 109, 705 748-1281,disabilityservices{at}trentu{dot}ca) as soon as possible. Complete text can be found under Access to Instruction in the Academic Calendar.

You may use whatever calculators you wish. Symbolic computation software such as `Maple`

or `Mathematica`

may also come in handy when doing some of the assignments or to check your answers when studying. On the tests and exam, but not the quizzes, you may also bring **one** of the following:

- an 8.5" by 11" aid sheet, with whatever you want on written on both sides of it; or
- a copy of the pamphlet Formula for Success published by Academic Skills, with whatever annotations you like in it.

Note that "personal response systems" such as clickers will not be used in MATH 1350H. Also, MATH 1350H will make only minimal use of myLearningSystem (a.k.a. WebCT); the main use will be to link to this page.

No doubt but magic may do much in this;

For he that reads but mathematic rules

Shall find conclusions that avail to work

Wonders that pass the common sense of men.Robert Greene (from Friar Bacon and Friar Bungay)

- MATH 1350H Course Outline
- Enjoying Math!
- Homework Problems
- Assignment # 1,
2,
3,
4,
5,
6

Solutions to Assignment # 1, 2, 3, 4, 5, 6 - Quizzes and Solutions to the Quizzes
- Test and Test Solutions
- Course Evaluation Form

Stuff from previous years to practice on...

**MATH 1350H, Fall 2008**- Assignment # 1,
2,
3,
4,
5,
6

Solutions to Assignment # 1, 2, 3, 4, 5

Extra Credit Assignments - Quizzes and Solutions to Quizzes
- Test and Test Solutions
- Final Examination and Solutions to the Final Examination

- Assignment # 1,
2,
3,
4,
5,
6
**MATH 135H, Fall 2007**- Assignment # 1,
2,
3,
4,
5,
6

Solutions to Assignment # 1, 2, 3, 4, 5 - Quizzes and Solutions to Quizzes
- Test and Test Solutions
- Final Examination and Solutions to the Final Examination

- Assignment # 1,
2,
3,
4,
5,
6
**MATH 135H, Fall 2000****MATH 135H, Summer 2000****MA 135a, Fall 1999****MA 135a, Fall 1998****MA 130, 1997-1998**(superseded by MA 135a/235b)

- Linear Algebra Toolkit by Przemyslaw Bogacki
- Linear Algebra by T.A. Carter, R.A. Tapia, and A. Papakonstantinou
- Linear Algebra by William Chen
- Elements of Abstract and Linear Algebra by Edwin H. Connell
- Linear Algebra by Jim Hefferon
- Elementary Linear Algebra by Keith Matthews
- A First Course in Linear Algebra by Rob Beezer
- The Matrix Cookbook by K.B. Petersen and M.S. Pedersen

- Linear Algebra at The Math Forum
- Linear Algebra, Spring 2005 at MIT OpenCourseWare
- Linear algebra at Wikipedia
- Linear Algebra at Wolfram MathWorld

Department of Mathematics Trent University

Maintained by Stefan Bilaniuk. Last updated 2009.12.19.