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MAT 203 Linear Algebra Winter 2007
Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu
Office Hours: Room A210, Mon. 11:00 AM – 12:00 PM Wed. 2:00 - 3:00 PM Thurs. 12:00 - 1:00 PM GMC G4, Tues. & Fri. 11:00 AM - 12:00 PM And as always, by appointment.
Class Time and Location: Mon, Wed, Fri. 12:30 - 1:55 PM, L107
Textbook: Introductory Linear Algebra: An Applied First Course, 8th Edition, by Kolman & Hill.
Calculator: A graphing calculator is required for this class. I will be demonstrating with the TI-89.
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 mathematics. Prerequisite: A grade of C or better in MAT 107 or equivalent.
Course Objectives: The successful student will: 1) exhibit a proficiency in the topics covered in the course; 2) engage in critical thinking and problem solving; and 3) translate technical information into mathematical statements, analyze information, formulate appropriate mathematical statements, solve problems and interpret solutions.
Course Grade: Your final letter grade will be based on the usual grading scale: A 90-100%, B 80-89%, C 70-79%, D 60-69%, F 0-59% The following items will make up the course grade: Homework: 200 points Exam1 (February 2): 250 points Exam2 (March 2): 250 points Final Exam (March 21): 300 points
You may check your grades at any point in the quarter by going to the following website and looking up your secret number:
http://www.gradesource.com/reports/1027/10647/index.html
Homework: Homework will be due by 3pm the class day after it is assigned. Homework not turned in at this time will be considered late. You may turn in homework up to one week after it is assigned for half credit.
Exams: Students are to bring a pencil and blank scratch paper to each exam. If you cannot make it to an exam (final not included), you may take it up to 2 school days prior to the scheduled date with proper arrangements. Otherwise, the exam may be made up after the scheduled date with a penalty of 10% per day.
Registration Information: You must register for this class at the Office of Admissions and Records. You may drop the class with no penalty or mark on your record on or before January 26. After January 26, you may drop the class and receive a grade of W until March 2. After March 2, if you are still enrolled, you will receive a grade of A, B, C, D, F or I.
How to Succeed in a Math Class: I am often asked how to successfully pass a math class, and here is my advice:
I) Come to every class session. Be prepared, and plan on participating. II) Do your homework. Remember that what I assign is what I consider a bare minimum. If you need more practice, do it. III) Read the book. You paid good money for it, so you might as well use it. IV) Make use of available tutors and my office hours. You will find tutors who know the subject matter in this course at the GMC. V) Do math every day. Math is just like everything else: if you don’t practice, you become rusty.
Technology in the Classroom: All cell phones, headphones, MP3 players, iPods, etc, must be turned off and put away prior to the start of each class. No electronic devices (other than calculators) may be used during quizzes and exams.
Learning Disabled Students: Students with disabilities who may need accommodations for this class are encouraged to notify me and contact the Disability Resource Center (DRC) early in the quarter so that reasonable accommodations may be implemented as soon as possible. Students may contact the DRC by visiting the Center (located in room A205) or by phoning 541-4660, ext. 249 (voice) or 542-1870 (TTY for deaf students). All information will remain confidential.
Academic Dishonesty: Academic dishonesty of any form will not be tolerated. Students caught cheating on exams or quizzes will receive a score of zero on the assignment for the first offense and a course grade of F for the second offense. Students may work together on homework assignments (and, in fact, are encouraged to) as long as all students understand the material covered.
Class Schedule: The following is a tentative schedule. If things change (and I have money that says they will), I will let you know.
January3 1.1,1.2 Linear Systems and Matrices 5 1.3,1.4 Dot Product and Matrix Operations 8 1.5 Matrix Transformations 10 1.6,1.7 Solving Systems, Inverse of a Matrix 12 2.1,2.2 Coding and Graph Theory 15 NO CLASS Martin Luther King Day 17 3.1 Determinants 19 3.2 Cofactor Expansion 22 4.1,4.2 Vectors in Rn 24 4.3 Linear Transformations 26 5.1 Cross Product 29 6.1 Vector Spaces 31 6.2 Subspaces
February2 Exam I 5 6.3 Linear Independence 7 6.4 Basis and Dimension 9 6.5 Homogeneous Systems 12 6.6 Rank of a Matrix 14 6.7 Change of Basis 16 NO CLASS President’s Day 19 NO CLASS President’s Day 21 6.8 Orthonormal Bases 23 6.9 Orthogonal Complements 26 B.1 Inner Product Spaces 28 8.1 Eigenvalues and Eigenvectors March2 Exam II 5 8.2 Diagonalization 7 8.3 Diagonalization of Symmetric Matrices 9 10.1 Linear Transformations 12 10.2 Kernel and Range 14 10.3 Linear Transformation Matrix 16 10.4 Fractals 21 Final Exam Note: The final is from 12:00-1:50
The following is a list of all homework assignments for this course. The due dates for the various sections will be given in class.
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