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MATH 203 LINEAR ALGEBRA Monday, Tuesday, Wednesday, and Thursday 2:00 to 3:05 PM Room A209 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 eighth 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.
Course
Objectives
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 21............................…....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 by 5:00 PM on the due date. 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 to be enrolled. 2. You may drop the class with no penalty or mark on your record on or before Friday, January 28. 3. After January 28, you may drop the class and receive a grade of W until Friday, March 4. 4. After March 4, 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.......................................................... 12:30 to 1:30 Tuesday.......................................................... 9:00 to 10:00 (In GMC) Wednesday......................................... ........... 1:00 to 2:00 (In GMC) Thursday......................................................... 12:00 to 1:00 Friday.............................................................. 10:00 to 11:00
CALCULATORS: The TI 89 or the TI 92 is required for this class. Calculators will be allowed on part of the exams. The TI 89 is available to rent in the Library 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 1-3 Introductions
1-4 1.1
Linear
Systems
7,12,T1,T2,T3 1-5 1.3 Multiplication 8,13,15,22,32,T3,T7,T10,T13 1-6 1.4 Matrix Properties 5,8,13,15,T4,T5,T6,T10,T18,T23,T32
1-10 1.5
Matrix Transformations 1,4,7,15,18,T1,T2,T3 1-11 1.6 Solutions to Systems 1,6,12,15,24,30,41,54,T2,T8,T11,T12 1-12 1.7 Inverse 3,8,13,20,25,28,T1,T6,T9,T10 1-13 2.1 Code Theory 1,4,6,7,10,T1,T3,T4
1-17 Happy Birthday Martin Luther King 1-18 2.2 Graph Theory 1,2,5,6,9,11,12,13,14,T1 1-19 2.3
Computer
Graphics 1,3,6,10,13,15 1-20 2.4 Electric Circuits 1,2,3,5,6,7,T1,T2
1-24 Midterm I 1-25 2.7 Wavelets 1,2,3,4,5,6,7 1-26 3.1 Definitions and Props 2,5,8,11,16,19,22,23,T3,T5,T6,T10,T12 1-27
3.2 Cofactor
Expansions
3,8,13,18,T3,T7,T8,T10
1-31 4.1 Plane
Vectors
3,8,13,19,26,T2,T3,T6 2-1 4.3 Lin. Trans. Intro. 1,4,9,13,17,24,27,32,T3,T6,T8,T9,T10 2-2 6.1 Vector Spaces 1,4,5,10,15,20,T1,T2,T5,T6 2-3 6.2 Subspaces 1,6,11,16,18,20,21,22,T2,T3,T6,T9,T10
2-7 6.3 Linear Independence 1,5,10,15,T3,T4,T10,T12,T13 2-8 6.4 Basis & Dimension 5,18,21,26,29,32,35,T9,T11,T12,T14 2-9 6.5 Homogeneous Systems 1,5,8,11,14,19,22,T1,T3,T4 2-10 6.6 Rank 1,6,9,14,17,20,23,27,34,T4,T7,T10
2-14 Happy Birthday George Washington 2-15 6.7 Change of Basis
2,7,10,17,22,24,T1,T4,T5,T7 2-16 6.8 Orthonormal Bases 1,6,11,16,21,T3,T5,T8,T11 2-27 Midterm II Theorems
2-21 Happy Birthday George Washington 2-22 6.9 Orthogonal Complements 1,4,7,10,T1,T2,T4,T5 2-23 B1 Inner Product Spaces 2,7,17,27,34,37,T2,T5,T7 2-24 7.2 Least Squares 1,4,7,11,13,16,T1
2-28 7.3 More on Coding 2,6,9,12,15,18,21,T4,T5 3-1 8.1 Eigenvalues & Eigenvectors 1,4,9,14,19,22,T1,T3,T5,T8,T11 3-2 8.2 Diagonalization 1,9,16,23,28,31,38,T1,T2,T5,T9 3-3 8.3 Symmetric Matrices 2,5,8,11,14,17,T1,T2,T4,T6,T8
3-7 9.1 Fibonacci 1,2,3,4,T1 3-8 9.5 Conic Sections 1,6,11,20,21,22,23,26,29 3-9 10.1 Definitions & Examples 1,4,7,13,14,17,T4,T6,T8,T10,T13 3-10 10.2 Kernel and Range 1,4,10,14,17,18,T3,T5,T7,T9,T10Continue Here
3-14 10.3 Transformation Matrices 1,4,7,10,13,T2,T3,T4,T6 3-15 10.3 Transformation Matrices 16,19,21,22,T7,T8,T9,T10 3-16 10.4 Fractals 1,4,7,10,13,18,T1,T4,T5,T6 3-17 Midterm III 3-21 Comprehensive Final Exam 2:00 PM - 3:50 PM
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