### MATH13, LINEAR ALGEBRA, Spring 2007

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`Syllabus.pdf `
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Text Book

### Linear Algebra, 3rd Edition, by Fraleigh and Beauregard

Professor

Dimiter Vassilev

Office

Surge 219

Email

Phone

(951)  951- 4610

Web Page

Office Hours

M, W & F   4:10pm - 5pm

Stop by any time you have a quick question.

Lectures

MWF  01:10 p.m. - 02:00 p.m.  SPR 2361

Discussion, TA Hwa Young Lee, hylee@math.ucr.edu

R  03:40 p.m. - 04:30 p.m.  WAT 1111

TA Office Hours

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`Prerequisites: MATH010A AND MATH010B AND MATH046 AND MATH146A AND MATH146B `
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CATALOG DESCRIPTION:
MATH 131 Linear Algebra I 4 Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): concurrent enrollment in or completion of MATH 010A. An introduction to vector spaces, matrices, and linear transformations. Credit is awarded for only one of MATH 113 or MATH 131.

Note: ID required to take an exam

Daily Information

 Date Section Topic Homework - all due next class M 04/02/07 1.1 Vectors in Rn 1.1/ 3, 7, *10, 23, 29, *32, 35, 39 1.2 Vectors in Rn 1.2/ 5, 11, *16, 23, 27, 33, 40, *44, *46 1.3 Matrices and their Properties 1.3/ 5, 9, 11, 15, 17, *20, 21, 35, *38, 43, *44 M 04/09/07 1.4 Solving Systems 1.4/ 1, *4, 7, *10, 15, 17, 21, 1.4 Systems and Elementary Matrices 1.4/*24, 29, *42, 43, 47, *48 1.5 Inverses 1.5/ 20, *24, 26 M 04/16/07 1.5 Inverses 1.5/ 1, 5, *10, 13, 23, 29, 33, *34 1.6 Homogeneous Systems, Subspaces and Bases 1.6 /3, *4, 5, 7, *14, 19, *20, 23, 29, 38 2.1 Independence and Dimesnion 2.1/11, 29, 30, 36, 37 M 04/23/07 2.1, 2.2 Dimension and Rank Nullity Theorem 2.1/9, 23, 27, 28, 33 2.2/1, 3, 5, 9, 11, 17 2.3 Linear Transformations 2.3/1, 3, 7, 9, 13, 17, 21, 25, 29, 31, 32 2.4 Linear Transformations of the plane 2.4/2, 3, 6, 16, 17, 21, 22 M 04/30/07 Review Midterm 3.1 Vector Space Axioms 3.1/ 1-11 odd, 15, 18, 23 M 05/07/07 3.2 Vector Space Properties 3.2/ 1-7 odd, 11, 19, 21, 25, 26, 27, 29,36 3.3 Coordinate Vectors 3.3/ 3-13 odd, 21, 22 3.4 Linear Transformations I 3.4/ 1-7 odd, 34, 37, 39, 43, 44, 49 M 05/14/07 3.4 Linear Transformations II 3.4 /16, 17, 19, 21, 25, 26 3.5 Inner Product Spaces 3.5/ 1-11 odd, 15, 16, 17, 19 4.1 Determinants and Geometry - areas, volumes, etc. 4.1/1-19 odd, 27, 31, 39 M 05/21/07 4.2 Determinants 4.2/ 3-7 odd, 11, 13, 17, 19, 21, 27, 31, 35, 4.3 Determinants 4.3/ 4,5, 11, 15, 17, 21, 27, 29, 35, 38 4.3 Cramer’s rule, Adjoints and Generalized volume formulas M 05/28/07 Memorial Day 4.4 Transformations and Determinants 4.4/1, 9, 11, 19, 29, 35, M 06/04/07 Review Review F 06/08/07 Review T 06/12/07 Final Exam See course material section on  ILEARN for practice problems

Calendar

 Midterm 04/30/07 in class ID required to take the exam Final Exam 06/12/2007 3 to 6 p.m., in usual class room ID required to take the exam

Attendance

Monday, Wednesday and Friday 01:10 p.m. - 02:00 p.m.  SPR 2361. The Department expects students to attend, and to participate in, all lectures and discussion sections of the Math 9ABC class in which they are enrolled. Classes cannot be missed except for certified reasons (such as a medical emergency with a doctor certificate).

Homework and Quizzes

Every class, I will assign a group of problems for you to work on to master the material presented in class.

Each homework will have a few problems,  that will be due the next lecture class

All collected homework will be returned in your discussion section the week following the one it was collected

The homework sheets have to be stapled with the problems written in the order they were assigned,

Your name and discussion section time should be written in the top right corner of the stapled homework       ( do not fold it!)

Place your homework in the pile corresponding to your discussion section at the beginning of each lecture

Please follow this requirement at all times as otherwise the homework will not be collected or graded

There will be 10 to 15 minute long quizzes.  The quizzes will be given every week in the discussion sections.  The problems will be from or very close to the homework.  You are expected to reasonably explain (in writing) the steps of the solutions.

Unsubstantiated answers will not be given credit. All quizzes and homework points are bonus points.

You should always write your own solutions of the homework problems. It is your responsibility to follow this advice. This will be very helpful when you review later in the quarter. Many times people tend to believe they can do certain problems until they have to write down the actual solutions.

## Exams

There will be one Midterm exam and a Final Exam.  The homework will inform you about the tests, but you should not expect that most test questions will come without modification from the homework or any mock test

Getting Help

I strongly recommend that you come and see me whenever you have difficulties.  Please do not postpone your questions for a later time.

 Midterm 200 Final exam 400 `Total ` 600 + Bonus HW and Quizzes max of 90 You will have at least A, B, C, D or F if you have correspondingly  > 90%,  80-89%, 65-79 %, 50-64 %  or <  50% out of 600 points.   This scale allows for a curve.  However, the following Department policy will be followed.   Mathematics Department Policy: grant grades of C- or higher only to students who demonstrate adequate preparation for the next course in the sequence or program. For example, a student who is not competent to solve very elementary word problems does not meet this standard. Examples:   Midterm 83%   Final 80%    Total  81%  (Grade B)     Bonus 60pts        Total with Bonus 91%  Grade A    Midterm 67 %  Final 40%    Total  49%( Grade F/D)    Bonus 48pts      Total with Bonus 57 % Grade C- Midterm 200 Final exam 400 Total 600 + Bonus  ( more than one letter grade if you work for it! ) HW and Quizzes max of 90

Make ups

No make-up quizzes or exams are allowed, except for a certified reason (such as a Doctor certificate).

Students are encouraged to review UC Riverside's policies on academic integrity, available on the web at http://www.conduct.ucr.edu/ In particular, students are expected to submit their own work for exams and homework assignments