Instructor: Steve Richardson
Office: D127
Meeting Venue: E100 and E106, M-Th 2:00 - 3:05
Phone: 541-4660 extension 333
email: richardson@ltcc.edu
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Office Hours (D127)
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Monday
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Tuesday
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Wednesday
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Thursday
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3:00 - 4:00
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1:00 - 2:00
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1:00 - 2:00
3:00 - 4:00 |
1:00 - 2:00
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mtg |
date |
topic covered |
Reading Assignment |
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1
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1/3
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Introductions, Assumptions, Linear Systems of Equations and their solutions | 1.1, 1.2 |
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2
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1/4
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Matrices | 1.3 |
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3
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1/5
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Dot Product and Matrix Multiplication | 1.4 |
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4
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1/9
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More on Matrix Muliplication | |
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5
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1/10
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Properties of Matrix Operations | 1.5 |
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6
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1/11
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Matrix Transformations | 1.6 |
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7
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1/12
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Solutions of Linear Systems of Equations | 1.7 |
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8
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1/17
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The Inverse of a Matrix | 2.1 |
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9
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1/18
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An Introduction to Coding | 2.2 |
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10
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1/19
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Graph Theory | 2.4 |
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11
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1/23
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Electrical Circuits | 2.7 |
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12
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1/24
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Introduction to Wavelets | Review |
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13
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1/25
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Review | Study for Exam |
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14
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1/26
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Exam Chapters 1 and 2 | 3.1 |
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15
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1/30
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Definition and Properties of Determinants | 3.2 and 3.3 |
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16
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1/31
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Cofactor Expansion and Applications | 4.1 and 4.2 |
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17
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2/1
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Vectors in the Plane and n-Vectors | 4.3 |
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18
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2/2
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Linear Transformations | 6.1 |
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19
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2/6
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Vector Spaces | 6.2 |
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20
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2/7
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Subspaces | 6.3 |
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21
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2/8
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Linear Independence | 6.4 |
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22
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2/9
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Basis and Dimension | 6.5 |
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23
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2/13
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Basis and Dimension | 6.5 |
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24
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2/14
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Homogeneous Systems | 6.6 |
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25
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2/15
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The Rank of a Matrix and Applications | 6.7 |
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26
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2/16
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Coordinates and Change of Basis | 6.8 |
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27
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2/21
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Orthonormal Bases in Rn |
6.9 |
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28
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2/22
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Orthogonal Complements | B.1 |
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29
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2/23
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Inner Product Spaces | 7.2 |
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30
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2/27
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Least Squares | Study for Midterm |
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31
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2/28
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Midterm 2 B1, Chapters 3, 4 and 6 | 8.1 |
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32
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3/1
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Eigenvalues and Eigenvectors | 8.2 |
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33
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3/2
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Diagonalization | 8.3 |
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34
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3/6
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Diagonalization of Symmetric Matrices | 9.1 |
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35
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3/7
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The Fibonnaci Sequence | 10.1 |
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36
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3/8
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Linear Transformations - Definition and Examples | 10.2 |
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37
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3/9
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The Kernel and Range of a Linear Transformation | 10.3 |
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38
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3/13
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The Matrix of a Linear Transformation | |
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39
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3/14
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Study for Midterm | |
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40
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3/15
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Midterm Chapters 7, 8, 9 and 10 | Review everything |
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41 |
3/16
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R&R | |
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3/20 |
Final exam Monady 2:00 - 3:50 pm |
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Required Textbook: Linear Algebra, Eighth Edition, Kolman and Hill, Prentice Hall 2005, ISBN 0-13-143740-2
Required Calculator: A Texas Instruments 89 or equivalent. I will be using and demonstrating with a TI89.
This course covers linear equations, matrices, determinants, vector spaces, inner product spaces, linear transformations, eigenvalues and eigenvectors and their applications to engineering and business.
The successful student will:
There will be three midterm exams given in the quarter. We will have a comprehensive final examination. If all homework is turned in with no more than two late assignments, the lowest of the three midterm scores will be dropped from your final grade (the remaining two will be weighted by a factor of 1.5 to compensate).
There will be 10 homework assignments. These are due at the beginning of class on Mondays commencing with week 2. Assignments may be turned in up to one week late for a maximum of half-credit.
| Hwk 1 | 1.1 | 1,7,13,16,22,25,27,T1,T2,T3 |
| 1.2 | 3, 5, 6, 10, T3, T5, T7 | |
| 1.3 | 1, 4, 7, 10, 11, 22, 31, 34, T6a), T7 | |
| Hwk 2 | 1.3 | 13, 25, T8, T9 |
| 1.4 | 1-7, 10, 11, 13, 15, T1, T3, T12, T14, T10 | |
| 1.5 | 1, 4, 6, 10, 12, 15, 18, 19, T1a), T2 (bold problems graded - but do the others too!) | |
| 1.6 | 1-8, 13 (find both row echelon and reduced row echelon forms), 15 (ditto), 19, 21, T5 (hints), T6 | |
| Hwk 3 | 1.6 | 37, 53, T13 |
| 1.7 | 7, 8, 9, 11, 20, 22, 25, 27, 28, T1 (compare #10 sec 1.4), T4 (use your work on T5 of section 1.6), T9 | |
| 2.1 | 1, 2, 3, 4, 10, T2 | |
| 2.2 | 1, 2, 3, 9, 11, 14 | |
| Hwk 4 | 2.4 | 1, 5, T1 |
| 2.7 | 1, 3, 5 | |
| Hwk 5 | 3.1 | 2,3,6, 8, 10, 11,13, 15, 19, 22, 23, T1, T3, T5, T6, T11, T13, T15 |
| 3.2 | 3, 5, 7, 8, 11, 14, 20, T1, T6, T7, T10, T12 (hint: det(A^-1)=1/det(A)) | |
| 4.1 | 5, 19, 21, 24, T4, T5, T7 | |
| 4.2 | 3, 5, 14, 21, 23, T4, T5, T6, T7, T8 (use T6 in T7, use T7 in T8), T10 | |
| 4.3 | 3, 4, 5, 13, 17, 11, 23, 24, T1, T2, T4, T6, T7, T8, T11, | |
| Hwk 6 | 6.1 | 1, 2, 3, 4, 11, 12, 16, 17, 18, 19, T1-T6 |
| 6.2 | 1, 2, 3, 4, 5, 7, 9, 15, 16, 18, 20, 2123, 24, T1, T2, T3, T4, T6, T10 | |
| 6.3 | 1,3,4,6, 10, 11, 12, 13, T1, T3, T2, T7, T10 | |
| 6.4 | 1, 2, 3, 7, 11, 26, 29, 33, T2, T5, T6, T11, T15 | |
| Hwk 7 | 6.5 | 1, 2, 6, 7, 12, 15, 21, T1, T2, T4 (use a calculator to find the reduced row echelon form) |
| 6.6 | 1, 4, 5, 13, 15, 18, 19, 20, 23, 27, 29, 31, T1, T2, T3, T8 | |
| 6.7 | 1, 3, 5, 7, 13, 17, 19, 20, 23, 24, T2, T5, T6, T7 | |
| Hwk 8 | 6.8 | 1, 3, 5, 8, 10, 12, 18, T2, T4, T5 |
| 6.9 | 1, 2, 3, 5, 10, 11, 12, T4, T5 | |
| B.1 | 1, 6, 9, 14, 15, 17, 25, 28, T1, T7, T8 | |
| Hwk 9 | 7.2 | 1, 2, 3, 9, 11 |
| 8.1 | 1, 2, 3, 5, 7, 12, 15, T1, T3, T5, T8 | |
| 8.2 | 1, 4, 8, 11, 16, 23, 24, T2, T4, T9, T11 | |
| Hwk 10 | 8.3 | 1, 2, 7, 9, 16, T1, T2 (use T1), T6 |
| 9.1 | 1, 2, 3 a) and verify using recursive formula | |
| 10.1 | 1, 2, 3, 7, 8, 9, 10, T1, T2, T5 | |
| 10.2 | 3, 4, 5, 11, 18, T3, T5, T8 | |
| 10.3 | 2, 3, 5, 7, 9 |
Are available here or search for our course at gradesource site
Grading will be based on your total scores from:
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3 Midterm exams |
300 points
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50 %
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1 Comprehensive Final |
200 points
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33.33%
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10 assignments |
100 points
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16.67 %
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| Total |
600 points
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100 %
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No extra credit work will be assigned or accepted.
The letter grade assigned will be based on the following cutoffs:
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90 % - 100 %
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A
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80 % - 90 %
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B
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70 % - 80 %
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C
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60 % - 70 %
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D
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< 60 %
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F
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I am here to help you learn. I want you to succeed in this course and beyond. Use me as your resource. See me during my office hours. Do not hesitate to make arrangements to see me anytime outside of class or office hours. Make arrangements with me if you have any difficulties or special needs. We have tutoring and a Learning Assistance Center available. We have the Gateway Math Center with tutors, computers and help available. We have a Learning Disabilities Lab available and I will accommodate any learning disability you may have to the best of my and the College’s ability. If you find that you are lost or behind please do not hesitate to see me.
Cheating or copying will not be tolerated. People who cheat dilute the honest effort of the rest of us. If cheat on a quiz or exam you will receive an F for the course, not merely for the test. Other college disciplinary action including expulsion might occur. Please don’t cheat in this class. If you are having difficulty with the course, please see me.