MATH 203

LINEAR ALGEBRA

Mon, Tues, Wed, and Thurs 4:00 to 5:05 AM

Room B103                    5 UNITS

Instructor: Larry Green

Phone Number

Office: 541-4660 Extension 341

Internet e-mail:...greenl@ltcc.edu

Home Page:   http://www.ltcc.edu/academics.asp?scatID=5&catID=34"

Required Text Introductory Linear Algebra With Applications seventh edition by Kolman and Hill

Course description This course covers linear equations, matrices, determinants, vector spaces, inner product spaces, linear transformations, eigenvalues and eigenvectors and their applications to engineering and business.

Prerequisite A grade of C or better in Math 107 or equivalent.

Grading Policy Your letter grade will be based on your percentage of possible points.

A 90 -- 100%        C 70 -- 79%

B 80 -- 89%          D 60 -- 69%

Homework: .........................................….150 points

Midterm 1: Jan 23.....................…..…......150 points

Midterm 2: Feb 14................................…150 points

Midterm 3: Mar 13.....................………...150 points

Final Exam: Mar 18............................…....400 points

Exam Policy Students are to bring calculators, pencils or pens, and paper to each exam.  Grading will based on the progress towards the final answer, and the demonstration of understanding of the concept that is being tested, therefore, work must be shown in detail.  Any student who cannot make it to an exam may elect to take the exam up to two days before the exam is scheduled. If all homework is completed and no more than three homework assignments are counted late, then the midterm with the lowest score will be dropped.

Homework Policy   Homework will be turned in at the end of class on the date due. If a student has additional questions, that student may see me after class in my office and then turn in the homework by 7:40 AM on the next day. Homework that is turned in within one week of the due date will be counted as half credit.  Homework may be turned later than one week after the due date, but points will not be awarded. 

Extra Credit  Any student who has turned in every homework assignment may elect to work on an extra credit assignment or project that will count as additional points towards either a midterm or the final.

Registration

1. You must register for this class at the Office of Admissions and Records.

2. You may drop the class with no penalty or mark on your record on or before Friday, January 25.

3. After January 25, you may drop the class and receive a grade of W until Friday, March 1.

4. After March 1, if you are enrolled, you will receive one of the following grades:  A,B,C,D,F or I (Incomplete, must be negotiated with the instructor and is only allowed in special cases).

In this class, it is your responsibility to drop the class in order to avoid an unwanted grade. You must go to the registrar by the above dates to avoid the unwanted grade.

 



OFFICE HOURS:

Room A210

Monday, Wednesday .......………….. 10:00 to 11:00 (In GMC)

Tuesday, Thursday……..................... 3:00 to 4:00 

Friday………………...........................11:00 to 12:00



CALCULATORS: A graphing calculator is required for this class. There are a variety of such calculators on the market. The instructor will be using a Texas Instruments-85. Calculators will be allowed on the exams.

Instructions on the TI 85 Calculator

LEARNING DISABILITIES: If you have a learning disability, be sure to discuss your special needs with Larry. Learning disabilities will be accommodated.

TUTORING:  Tutors are available at no cost in G4 (The Gateway Math Center).  A schedule will be available shortly.

HOMEWORK ASSIGNMENTS

Lecture will always be geared towards an explanation of the topics that will be covered on the upcoming homework assignment.

Date    Section  Topic                             Exercises

1-2                     Introductions

1-3       1.1         Linear Systems             4,12,T1,T2,T3
            1.2         Matrices                       1,6,9,T1,T4,T6

 

1-7       1.3        Multiplication                 2,8,13,15,22,29,T3,T7,T10

1-8       1.4        Matrix Properties           5,8,13,15,T4,T5,T6,T10,T19,T23,T32

1-9      1.5         Solutions to Systems      1,5,7,12,15,19,24,26,36,43,T2,T8,T11,T12

1-10     1.6        Inverse                           3,8,13,20,25,28,T1,T6,T9,T10

1-14     2.1        Graph Theory                 1,2,5,6,9,11,12,13,14,T1

1-15     2.2        Electric Circuits              1,2,3,4,5,6,7,8,T1,T2

1-16     2.5        Wavelets                        1,2,3,4,5,6,7           

1-17     3.1       Definitions and Props       2,5,8,11,16,19,22,23,T3,T5,T6,T10,T12

 

1-21            Happy Birthday Martin Luther King    

1-22    3.2      Cofactor Expansions               3,8,13,18,T3,T7,T8,T10           
           3.3       Computational Determinants    Read Only

1-23     Midterm I

1-24    Return Midterm I

 

1-28     4.1     Plane Vectors              3,8,13,19,24,T2,T3,T6,T9 
            4.2      n-vectors                    3,8,13,23,30,T2,T6,T8,T10,T11

1-29     4.3      Lin. Trans. Intro.        1,4,9,13,17,22,27,32,T3,T6,T8,T9,T10

1-30     5.1      Computer Graphics    1,2,3,4,5,6,7 
                        Interactive Matrix Animation

1-31     6.1      Vector Spaces           1,4,5,10,15,20,T1,T2,T5,T6

 

2-4       6.2      Subspaces                  1,6,11,16,17,18,23,T2,T3,T6,T9,T10

2-5       6.3     Linear Independence    1,5,10,15,T3,T4,T7,T10,T12

2-6       6.4    Basis & Dimension         1,6,9,18,22,28,33,T2,T3,T7,T9,T11         

2-7       6.5    Homogeneous Systems   1,5,8,11,14,19,22,T1,T3,T4

 

2-11     6.6    Rank                               1,6,9,14,17,20,23,27,34,T4,T7,T10,T12

2-12     6.7    Change of Basis               2,7,10,17,22,24,T1,T4,T5,T6,T7             

2-13     6.8     Orthonormal Bases         1,6,11,16,21,T3,T5,T8,T11

2-14         Midterm II

 

2-18      President's Day

2-19      Return Midterm II

2-20      6.9    Orthogonal Complements       1,4,7,10,T1,T2,T4,T5

2-21      B1     Inner Product Spaces             2,7,17,27,34,T2,T5,T7,T9 

 

2-25    7.2      Least Squares                         1,4,7,11,13,16,T1

2-26    8.1      Eigenvalues &  Eigenvectors    1,4,9,14,19,22,T1,T3,T5,T8,T11

2-27    8.2      Diagonalization                        1,9,16,23,28,31,38,T1,T2,T5,T9

2-28    8.3      Symmetric Matrices                 2,5,8,11,14,17,T1,T2,T4,T6,T8

 

3-4      9.1       Fibonacci                                1,2,3,4,T1

3-5      9.5       Conic Sections                        1,6,11,14,17,20,23,26,29

3-6      10.1      Definitions & Examples           1,4,7,13,14,17,T4,T6,T8,T10,T13

3-7      10.2      Kernel and Range                    1,4,10,14,17,18,T3,T5,T7,T9,T10

 

3-11     10.3     Transformation Matrices           1,6,11,16,21,22,T2,T4,T6,T7,T8

3-12     10.4      Fractals                                    1,4,7,10,13,18,T1,T4,T5,T6

3-13       Midterm III

3-14       Review

 

3-18      Comprehensive Final Exam  4:00 PM - 5:50 PM

 



 

HOW TO SUCCEED IN A MATH CLASS

  1.  Come to every class meeting.
  2.  Arrive early, get yourself settled, spend a few minutes looking at your notes from the previous class meeting, and have   you materials ready when class starts.
  3.  Read each section before it is discussed in class
  4.  Do some math every day.
  5.  Start preparing for the tests at least a week in advance.
  6.  Spend about half of your study time working with your classmates.
  7.  Take advantage of tutors and office hours, extra help can make a big difference.