# SCI - Math - MAS 2103-001(82649) Matrix Theory Fall 2012 Hoffman, Frederick

SCI - Math - MAS 2103-001(82649) Matrix Theory – Fall 2012 – Hoffman, Frederick

Office: S&E 212A

Phone: (561) 297-3345

Fax: (561) 297-2436

Department phone: (561) 297-3340

email:

Class is held 11:00-11:50am in SC 178

Office hours: TTH 9-11am and by appointment—appointments are suggested even during office hours.

This is a fairly standard introductory course in matrix theory/loinear algebra at the lower division undergraduate level. The prerequisite for the course is a semester of calculus. We begin at the very beginning of matrix theory, and we rely much more on college algebra than on calculus.

We shall treat the material in Chapters 1-8 of our textbook, pretty much keeping to the outline the author suggests on his page xi. although the schedule is tentative. Homework will be collected as indicated, and a few problems will be graded, when submitted on time. *Homework submitted late will be recorded, but not graded*. A student may, of course, ask questions about homework problems that are not graded.

Upon successful completion of this course, the student will be able to:

Understand matrix algebra and use matrices to solve systems of linear equations.

Compute determinants and understand their applications to the theory of systems of linear equations. Understand vector algebra in the plane, and compute lengths of vectors, angles between vectors, and equations of lines and planes.

Understand the notions of basis and dimension of general vector spaces, and compute the row space, column space, and null space of a matrix.

Apply the Gram-Schmidt algorithm to obtain an orthonormal basis of a subspace, and apply orthogonal projections to find least squares solutions of systems of linear equations.

Compute eigenvalues and eigenvectors of a square matrix and understand the notion of diagonalization of a matrix.

Demonstrate technical facility with linear transformations and their relationship to matrices.

Apply the process of mathematical modeling to real-world problem situations.

The four tests (100 points each) will count 15% of the grade each. The final examination (200 points) will count 40%. A homework score will be calculated, with a possible score of 50 points, and may replace part of one test, if this will benefit the student. A student who has a legitimate reason for missing a test will have the opportunity to make up the test. It is unusual for a student to have legitimate reasons for missing two tests. The instructor must be notified a week in advance of the test, if the student knows in advance, and within 24 hours after the test is missed, otherwise. Notification must be in writing (email is fine), although also discussing it face-to-face is a good idea. The grading scale is:

A: 90% - 100% / B: 80% - 83% / C: 65% - 72%A-: 87% - 89% / B-: 77% - 79% / D: 60% - 64%

B+: 83% - 86% / C+: 73% - 76% / D-: 55% - 59%

We shall be using the text, Elementary Linear Algebra (Tenth Edition) by Howard Anton, published in 2010 by Wiley. The version ordered by the instructor is the **Binder-Ready Version**, but you may order the hardback, or the ebook, if you wish. If you use a different edition of the text, or choose not to use the text, you are responsible for getting the assignments. This is a three-credit course.

The following schedule is subject to modification

dates / Chapters / Problems / testsAug 20-24 / 1 / 1.1/odds, 12,14;

1.2/odds,20;

1.3/1-21odd, 20

Aug 27-31 / 1 / 1.4//1-29odd;35-41odd;40

1.5/1-29 odd;37-38

Sep 5-7 / 1 / 1.6/{4n+1|n=0,…,5}

1.7/{4n+1, n=0,…,7}

Sep 10-14 / 2 / 2.1/1-29 odds

2.2/1-29 odds

2.3/{4n+1, n=0,…,7} / Sep 10

Sep 17-21 / 3 / 3.1/{4n+1,n=0,…,7}

3.2/{4n+1,n=0,…,6}

3.3/

Sep 24-28 / 3(thru 3.3) / 3.4/odds / Sep 28

Oct 1-5 / 3-4 / 3.5/{4n+1|n=0,…,8}

4.1/1-19 odd

4.2 odds

Oct 8-12 / 4 / 4.3/odd-19,23

4.4/odd-15,18

4.5/{4n + 1}

Oct 15-19 / 4 / 4.6/{4n+1|n=0,…,5}

4.7/odd-17

4.8/odd

4.9/odd-21

Oct 22-24 / 4 / 4.10/odd-23

4.11/odd-15 / Oct 24

Oct 26 / 5 / 5.1/odd-15,23

5.2/odd-23

Oct 29-Nov 2 / 5-6 / 5.3/odd-29

6.1/odd-19, 23

6.2/odd-21

Nov 5-9 / 6-7 / 6.3/odd-23

7.1/1-6

Nov 14-16 / 7 / 7.2/odd-17

7.3/odd-25

Nov 19-21 / 7 / 7.5/odd-25 / Nov 21

Nov 26-28 / 8 / 8.1/odds-35

The final examination will be held 10:30am-1:00pm December 5, in the regular classroom, SC 178.

In order to enhance and maintain a productive atmosphere for education, personalcommunication devices, such as cellular telephones and pagers, are required to bedisabled during class sessions.

Regular attendance is expected. The instructor will not reply to email with requests like, “I missed class yesterday, because I had to drive my friend’s aunt to the airport. Could you tell me what you covered, and whether any of it is important?”

*In compliance with the Americans with Disabilities Act*

*(ADA), students who require reasonable accommodations due to a disability*

*to properly execute coursework must register with the Office for Students with*

*Disabilities (OSD) -- in Boca Raton, SU 133 (561-297-3880); in Davie, LA*

*240 (954-236-1222); in Jupiter, SR 110 (561-799-8010); or at the Treasure*

*Coast, CO 117 (772-873-3441) – and follow all OSD procedures.*

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