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MATH 203 LINEAR ALGEBRA Mon and Wed 12:30 to 1:25 PM Room E 106 Tue and Thurs 12:30 to 1:40 PM Room A 208 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. Course Outcomes
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: ......................................... .125 points Midterm 1: Jan 23..................... .. ......125 points Midterm 2: Feb 14................................ 125 points Midterm 3: Mar 13..................... ...125 points Poster Session Project: Feb 25.................100 points Final Exam: Mar 26............................ ....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 5:00 PM. 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. Poster Project The project involves investigating an application of linear algebra. The display must be approximately 1 meter by 1.3 meters. You may write any equation by hand. You are encouraged to have Math View, Maple, or Origin assist you in the project. Ideally you should work on the project with one partner, but an exception can be made under special circumstances. Your abstract is to be a one-paragraph description of your project. It will be due on April 23. Included in your abstract should be a set of references that you intend to use. From 12:00 to 1:00 on February 25 you will be expected to stand by your project and answer questions from the judges and observers. The projected will be graded on both content and presentation. 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 31. 3. After January 31, you may drop the class and receive a grade of W until Friday, March 7. 4. After March 7, 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, Friday ....... .. 10:00 to 11:00 Tuesday ........................................... ........ 10:30 to 11:30 (In GMC) Thursday ................................................... 11:30 to 12:30 (In GMC) 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-89. Calculators will be allowed on the exams. 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 1-6 Introductions
1-7 1.1
Linear
Systems
4,12,T1,T2,T3 1-8 1.3 Multiplication 2,8,13,15,22,29,T3,T7,T10 1-9 1.4 Matrix Properties 5,8,13,15,T4,T5,T6,T10,T19,T23,T32
1-13 1.5 Solutions to Systems 1,5,7,12,15,19,24,26,36,43,T2,T8,T11,T12 1-14 1.6 Inverse 3,8,13,20,25,28,T1,T6,T9,T10 1-15 2.1 Graph Theory 1,2,5,6,9,11,12,13,14,T1 1-16 2.2 Electric Circuits 1,2,3,4,5,6,7,8,T1,T2
1-20 Happy Birthday Martin Luther King 1-21 2.5 Wavelets 1,2,3,4,5,6,7 1-22 3.1 Definitions and Props 2,5,8,11,16,19,22,23,T3,T5,T6,T10,T12
1-23 3.2 Cofactor
Expansions
3,8,13,18,T3,T7,T8,T10
1-27 Midterm I 1-28 Return Midterm I 1-29 4.1
Plane
Vectors
3,8,13,19,24,T2,T3,T6,T9 1-30 4.3 Lin. Trans. Intro. 1,4,9,13,17,22,27,32,T3,T6,T8,T9,T10
2-3 5.1 Computer
Graphics 1,2,3,4,5,6,7 2-4 6.1 Vector Spaces 1,4,5,10,15,20,T1,T2,T5,T6 2-5 6.2 Subspaces 1,6,11,16,17,18,23,T2,T3,T6,T9,T10 2-6 6.3 Linear Independence 1,5,10,15,T3,T4,T7,T10,T12
2-10 6.4 Basis & Dimension 1,6,9,12,15,18,22,28,33,T1,T2,T3,T7 2-11 6.4 Basis & Dimension 18,21,26,29,32,35,T9,T11,T12,T14 2-12 6.5 Homogeneous Systems 1,5,8,11,14,19,22,T1,T3,T4 2-13 6.6 Rank 1,6,9,14,17,20,23,27,34,T4,T7,T10,T12
2-17 Happy Birthday George Washington 2-18 6.7 Change of Basis
2,7,10,17,22,24,T1,T4,T5,T6,T7 2-19 6.8 Orthonormal Bases 1,6,11,16,21,T3,T5,T8,T11 2-20 Midterm II Theorems
2-24 Return Midterm II 2-25 Poster Session 2-26 6.9 Orthogonal Complements 1,4,7,10,T1,T2,T4,T5 2-27 B1 Inner Product Spaces 2,7,17,27,34,T2,T5,T7,T9
3-3 7.2 Least Squares 1,4,7,11,13,16,T1 3-4 8.1 Eigenvalues & Eigenvectors 1,4,9,14,19,22,T1,T3,T5,T8,T11 3-5 8.2 Diagonalization 1,9,16,23,28,31,38,T1,T2,T5,T9 3-6 8.3 Symmetric Matrices 2,5,8,11,14,17,T1,T2,T4,T6,T8
3-10 9.1 Fibonacci 1,2,3,4,T1 3-11 9.5 Conic Sections 1,6,11,14,17,20,23,26,29 3-12 10.1 Definitions & Examples 1,4,7,13,14,17,T4,T6,T8,T10,T13 3-13 10.2 Kernel and Range 1,4,10,14,17,18,T3,T5,T7,T9,T10
3-17 10.3 Transformation Matrices 1,,4,7,10,13,T2,,T3,T4,T6 3-18 10.3 Transformation Matrices 16,19,22,25,,T7,T8,T9,T10 3-19 10.4 Fractals 1,4,7,10,13,18,T1,T4,T5,T6 3-20 Midterm III 3-26 Comprehensive Final Exam 12:00 PM - 1:50 PM
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