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MATH 203 LINEAR ALGEBRA Mon, Tues, Wed, and Thurs 4:00 to 5:05 AM Room D 108 5 UNITS Instructor: Larry Green Phone Number Office: 541-4660 Extension 341 Internet e-mail:...greenl@ltcc.edu Home Page: http://www.ltcc.edu/programs/math Required Text Introductory Linear Algebra With Applications sixth edition by Bernard Kolman 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 19..................... .. ......150 points Midterm 2: Feb 16................................ 150 points Midterm 3: Mar 16..................... 150 points Final Exam: Mar 22............................ ....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. At the beginning of each class, a 2 to 5 minute quiz will be given. Each quiz will count as 20% of the homework assignment and cannot be made unless there is a medical excuse. 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 28. 3. After January 28, you may drop the class and receive a grade of W until Friday, March 3. 4. After March 3, 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 ....... .. 3:00 to 4:00 Tuesday, Thursday ..................... 9:30 to 10:30 (In GMC) 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. 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. 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
1,5,7,11,15,T1,T2,T3,T4
1-5
1.3 Multiplication
5,8,9,18,19,22,28,30,T6,T7 1-6 1.5 Solution to Equations 1,5,10,17,23,28,T4,T5,T9,T12
1-10 1.6 Inverse 1,5,12,13,15,22,26,T1,T6
1-11
2.1
Definitions
5,12,19,21,T3,T8,T10
1-12 2.3
Determinants
Read Only 1-13 3.3 Linear Transformations 1,6,11,16,21,T3,T4,T5,T6,T7,T8
1-17 Happy Birthday Martin Luther King 1-18 3.4 Computer Graphics 1,2,3,4,5,6,7,8,9,T1 1-19 Midterm I 1-20 Return Midterm I
1-24 4.1 Vector Spaces 1,4,5,9,12,15,18,T1,T2,T3 1-25 4.2 Subspaces 1,4,7,10,16,17,23,T1,T4,T9,T14 1-26 4.3 Linear Independence 1,4,7,10,T3,T4,T7,T10,T13 1-27 4.4 Basis & Dimension 1,5,10,14,17,19,27,30,T1,T4,T9,T14
1-31 4.5 Homogeneous Systems 1,4,7,10,13,16,T1,T2,T3 2-1 4.6 Rank 1,6,9,15,18,23,30,T4,T7,T10 2-2 4.7 Change of Basis 2,5,11,16,20,T1,T3,T4 2-3 4.8 Orthonormal Bases 1,5,10,15,T5,T6,T8,T11
2-7 4.9 Orthogonal Complements 1,3,8,10,T1,T2,T4,T5 2-8 5.1 Diagonalization 1,6,15,20,23,T1,T3,T6,T7,T16 2-9 5.2 Symmetric Matrices 1,2,7,11,T2,T4,T7,T10 2-10 6.1 Def. of Linear Trans. 1,5,6,13,18,T3,T5,T6,T7
2-14 6.2 Kernel and Range 1,4,11,17,18,T3,T6,T7,T9 2-15 6.3 Matrix of Lin. Trans. 1,8,9,21,22,25,T3,T6,T7 2-16 Midterm II 2-17 Return Midterm II
2-21 President's Day 2-22 B1 Inner Product Spaces 2,7,17,27,34,T2,T5,T7,T9 2-23 7.1 Linear Programming 1,4,7,14,24,29 2-24 7.2 The Simplex Method 1,4,7,10,13,15,T1,T2
2-28 7.3 Duality 1,4,5,9,10 2-29 8.1 Graph Theory 1,4,8,11,17 3-1 8.2 Electrical Circuits 1,2,4,5,7,8,T1,T2 3-2 8.3 Markov Chains 1,4,7,9,10,11,12,13
3-6 8.4 Least Squares 1,6,9,11,12,13,T1,T2 3-7 8.5 Economic Models 1,4,5,6,7,12,T1 3-8 8.8 Quadratic Forms 1,4,5,6,9,12,T1 3-9 8.9 Conic Sections 1,6,11,14,17,20,23,26,29
3-13 8.10 Quadric Surfaces 1,6,11,16,21,26 3-14 8.11 Game Theory 2,3,6,9,12,15,20,T1,T2 3-15 Review 3-16 Midterm III
3-22 Comprehensive Final Exam 4:00 PM - 5:50 PM
HOW TO SUCCEED IN A MATH CLASS
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