|
MAT 202 Vector Calculus Fall 2005
Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu
Office Hours: Room A210, Mon. & Wed. 11:00 – 11:30 AM Tues. & Thurs. 3:15 – 3:45 PM Wed. & Thurs. 1:30 – 2:00 PM GMC G4, Tues. 1:00 – 2:00 PM Fri. 11:00 AM - 12:00 PM And as always, by appointment.
Class Time and Location: Mon. - Thurs. 2:00 – 3:05 PM, A211
Textbook: Calculus, 7th 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 10) Exam2 (October 31): 450 points Exam3 (November 21) Final Exam (December 5): 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/1027/7829/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 14. After October 14, you may drop the class and receive a grade of W until November 18. After November 18, 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.
September19 10.1-10.3 Vector Review from Mat107 20 10.4-10.6 More Vector Review 21 11.1 Vector Valued Functions 22 11.2 Differentiation and Integration of Vector Functions 26 11.3, Quiz I Velocity and Acceleration 27 11.4 Tangent and Normal Vectors 28 11.4 Tangent and Normal Vectors (cont.) 29 11.5 Arc Length and Curvature
October3 11.5, Quiz II Arc Length and Curvature (cont.) 4 12.1-12.3 Review of Functions of Several Variables form Mat107 5 12.5,12.6 More Review of Functions of Several Variables 6 13.1 Iterated Integrals and Area 10 Exam I 11 Go Over Exam I 12 13.1 Iterated Integrals and Area (cont.) 13 13.2 Double Integrals and Volume 17 13.3, Quiz III Change of Variables: Polar Coordinates 18 13.4 Center of Mass, Moments of Inertia 19 13.5 Surface Area 20 13.6 Triple Integrals 24 13.6, Quiz IV Triple Integrals (cont.) 25 13.7 Triple Integrals in other Coordinate Systems 26 13.7 Triple Integrals in other Coordinate Systems (cont.) 27 13.8 Change of Variables: Jacobians 31 Exam II
November1 Go Over Exam II 2 13.8 More on Jacobians 3 14.1 Vector Fields 7 14.2, Quiz V Line Integrals 8 14.2 More on Line Integrals 9 14.3 Conservative Vector Fields 10 14 14.4, Quiz VI Green’s (No, not Larry…) Theorem 15 14.5 Parametric Surfaces 16 14.5 More on Parametric Surfaces 17 14.6 Surface Integrals 21 Exam III 22 Go Over Exam III 23 14.7 Divergence Theorem 24 NO CLASS Thanksgiving (GO BRONCOS!!!)
November (Cont.) 28 14.7 More on Divergence Theorem 29 14.8 Stokes’ Theorem 30 14.8, Quiz VII Stokes’ Theorem (Cont.)
December1 Review for Final 5 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.
|