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MAT 202 Vector Calculus Fall 2007
Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu
Office Hours: Room A210, Mon. 10:00 – 11:00 AM Tues. 1:00 – 2:00 PM Wed. 10:00 – 11:00 AM Thurs. 12:00 – 1:00 PM GMC G4, Fri. 11:00 AM – 12:00 PM And as always, by appointment.
Class Time and Location: Mon. - Thurs. 2:00 – 3:05 PM, A206
Textbook: Calculus, 8th Edition, by Larson, Hostetler, & Edwards
Calculator: A graphing calculator is required for this class. I will be demonstrating with the TI-89. The use of Maple software is also recommended for this class.
Course Description: MAT 202 covers the calculus of several variables including partial differentiation, applications of partial derivatives, vector fields, multiple integration, and vector analysis.
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 logical and critical thinking; 3) read technical information; and 4) demonstrate the solution to problems by translating written language into mathematical statements, interpreting information, sketching relevant diagrams, analyzing given information, formulating appropriate mathematical statements, and checking and verifying results.
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: 100 points Quizzes: 150 points Exam1 (October 4) Exam2 (October 25): 450 points Exam3 (November 15) Final Exam (December 3): 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/1027/12386/index.html Homework: Homework will be due by 5:00 PM the class day after it is assigned. Homework not turned in at this time will be considered late (no exceptions). You may turn in homework up to two class days after it is assigned for half credit. If all homework is turned in, and no more than two are late, the lowest regular exam score will be dropped.
Quizzes: There will be seven quizzes given over the quarter. These quizzes will be designed to help prepare you for the exams, and quiz problems will be taken directly from the homework assignments. Your lowest quiz score will be dropped. Since your lowest score will be dropped, missed quizzes may not be made up.
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 October 12. After October 12, you may drop the class and receive a grade of W until November 2. After November 2, if 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. Don’t make me be a homework enforcer. 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.
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 my work together on homework assignments (and, in fact, are encouraged to) as long as all students understand the material covered.
Course Schedule: The following is a tentative schedule. If things change (and I have money that says they will), I will let you know.
September17 11.1, 11.2 Vector Review from Mat107 18 11.3, 11.4 More Vector Review 19 11.5, 11.7 Yet More Vector Review 20 12.1 Vector Valued Functions 24 12.2, Quiz I Differentiation and Integration of Vector Functions 25 12.3 Velocity and Acceleration 26 12.4 Tangent and Normal Vectors 27 12.5 Arc Length and Curvature
October1 12.5, Quiz II Arc Length and Curvature (cont.) 2 13.1-13.3 Review of Functions of Several Variables from Mat107 3 13.5,13.6 More Review of Functions of Several Variables 4 Exam I 8 14.1 Iterated Integrals and Area 9 14.1 Iterated Integrals and Area (cont.) 10 14.2 Double Integrals and Volume 11 14.3 Change of Variables: Polar Coordinates 15 14.4, Quiz III Center of Mass, Moments of Inertia 16 14.5 Surface Area 17 14.6 Triple Integrals 18 14.6 Triple Integrals (cont.) 22 14.7, Quiz IV Triple Integrals in other Coordinate Systems 23 14.7 Triple Integrals in other Coordinate Systems (cont.) 24 14.8 Change of Variables: Jacobians 25 Exam II 29 14.8 More on Jacobians 30 15.1 Vector Fields 31 15.2 Line Integrals
November1 15.2 More on Line Integrals 5 15.3, Quiz V Conservative Vector Fields 6 15.4 Green’s (No, not Larry…) Theorem 7 15.5 Parametric Surfaces 8 15.5 More on Parametric Surfaces 12 NO CLASS Veteran’s Day 13 15.6 Surface Integrals 14 15.7 Divergence Theorem 15 Exam III 19 15.7 More on Divergence Theorem 20 15.8 Stokes’ Theorem 21 15.8 Stokes’ Theorem (Cont.) 22 NO CLASS Thanksgiving (GO BRONCOS!!!) 26 Quiz VI Proofs and Number Theory 27 Proofs and Number Theory November (Cont.) 28 Proofs and Number Theory 29 Proofs and Number Theory
December3 Final Exam Note: The Final Exam is from 2:00 – 3:50 PM
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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