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MATH 202 VECTOR CALCULUS Mon, Tues, Wed, and Thurs 4:00 to 5:05 AM Room A206 5 UNITS Instructor Larry Green Phone Number Office: 541-4660 Extension 341 Internet e-mail:...greenl@ltcc.edu WWW: http://www.ltcc.edu/programs/math
Required Text Calculus, Sixth Edition by Larson, Hostetler, and Edwards Course description The topics covered in this course include Vectors, Multiple Integration, and the Calculus of Vectors. Prerequisite A grade of C or better in Math 107 (Trigonometry) or an equivalent class 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: Oct. 9 ........................... . .............125 points Midterm 2: Nov 1............................................. .125 points Midterm 3: Nov 30 ..................... ..... ......... 125 points Project: Nov 29.....................................................125 Points Final Exam: Monday Dec 4, 4:00 to 5:50 PM .....375 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 needed you may turn it in before 7:40 AM the following day without penalty. 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. Project The project involves investigating an application of vector calculus. The write-up of the project must be more than three pages (typed). You may write any equation by hand. You are encouraged to have Math View assist you in the project. You are also encouraged to work on the project in coordination with a non-math course that you are currently taking. You may work on the project in groups and if you choose to turn in a group project, the write up should be more than 2 + n pages where n is the number of individuals in your group. Additional guidance will be provided later in the quarter. Learning Disabilities If you have a learning disability, be sure to discuss it with Larry. Learning disabilities will be accommodated. 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, October 13. 3. After October 13, you may drop the class and receive a grade of W until Friday, November 17. 4. After November 17, 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 Tuesday, Thursday . 3:00 to 4:00 Friday ...10:00 to 11:00 GMC Monday, Wednesday .. 9:30 to 10:30
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. Calculators (with the exception of those equipped with symbolic manipulation) will be allowed on the exams.
HOMEWORK ASSIGNMENTS Lecture will always be geared towards an explanation of the topics that will be covered on the upcoming homework assignment. Due Date Topic Section Problems 9-18 Introductions
9-19 Plane Vectors
10.1 14, 28, 35, 70, 89 9-20 The Cross
Product 10.4 10,
25, 42, 47, 50 9-21 Vector Valued Functions 11.1 1,12,13,16,21,28,41,48,55,62,67,74,SP
9-25 Calc of Vector Functions 11.2 1,8,15,20,25,34,44,49,60,63,64 9-26 Velocity and Acceleration 11.3 1,12,17,25,29,30,39,44,48,SP 9-27 Tangent & Normal Vectors 11.4 1, 6, 10, 11, 16, 21, 26, 30 9-28 Tangent & Normal Vectors 11.4 31, 36, 39, 42, 45, 49, 50, 51
10-2 Arc Length & Curvature 11.5 1,6,11,16,21,26,36,41,46,59,60,75 10-3 Arc Length & Curvature 11.5 77, 78, 79, 80, 81, 82, 83, 84
10-4 Multivariable Functions
12.1 2, 13, 24, 29, 46,
53, 56 10-5 Gradients
12.6 8, 13, 18, 27, 32,
37, 46, 68, 66
10-9 Midterm I 10-10 Return Midterm I 10.11 Iterated Integrals & Area 13.1 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31 10-12 Iterated Integrals & Area 13.1 34, 37, 42, 47, 50, 51,54, 65, 66
10-16 Double Integrals & Volume 13.2 1,10,15,24,35,46,56,58,70,72,74 10-17 Double Ints. in Polar Coord. 13.3 1,8,15,20,24,29,32,41,42,43,45 10-18 Center of Mass, Inertia 13.4 1,12,21,26,31,38,47,50,SP 10-19 Surface Area 13.5 1,6,11,16,21,26,31,36,37,41,SP
10-23 Triple Integrals 13.6 1, 4, 7, 13, 16, 18,21, 24, 27, 30 10-24 Triple Integrals 13.6 33, 36, 39, 42, 45, 48, 49 10-25 Cylind and Sphere Coord 13.7 1, 4, 7, 10, 13, 16, 17, 20, 21, 24 10-26 Cylind and Sphere Coord 13.7 27, 30, 31, 34, 37, 38, 39, SP
10-30 Jacobians 13.8 1, 4, 7, 9, 12, 14, 15, 17 10-31 Jacobians 13.8 20, 23, 24, 25, 27, 28 11-1 Midterm II 11-2 Return Midterm II
11-6 Vector Fields 14.1 1,6,15,20,25,32,37,44,49,56,59,67,70,77 11-7 Line Integrals 14.2 37,42,45,50,57,62,63, 67,68,69,70 11-8 Line Integrals 14.2 1,7,11,16,19,22,25,30,36 11-9 Conservation & Independence 14.3 1,8,13,20,27,37,39,43,45,46,47,49
11-13 Green's Theorem 14.4 1, 4, 7, 10, 13, 16, 19, 22, 25, 28 11-14 Green's Theorem 14.4 29, 32, 35, 39, 42, 44, 47+SP 11-15 Parametric Surfaces 14.5 1, 4, 7, 10, 13, 16, 19, 22, 25, 28 11-16 Parametric Surfaces 14.5 31, 34, 37, 40, 43, 46, 49, 50
11-20 Surface Integrals 14.6 1,6,11,18,25,28,33,39 + SP 11-21 Divergence Theorem 14.7 1, 4, 7, 10, 14, 17 11-22 Divergence Theorem 14.7 19, 21, 22, 23, 24, 25, 27 11-23 Happy Thanksgiving
11-27 Stokes Theorem 14.8 1, 4, 7, 10, 11, 14, 17 11-28 Stokes Theorem 14.8 18, 21, 23, 24, 25 11-29 Project Due 11-30 Midterm III
12-4 Comprehensive Final Exam 4:00 PM - 5:50 PM
HOW TO SUCCEED IN A MATH CLASS 1) Come to every class meeting. 2) Arrive early, get yourself settled, spend a few minutes looking at your notes from the previous class meeting, and have you materials ready when class starts. 3) Read each section before it is discussed in class 4) Do some math every day. 5) Start preparing for the tests at least a week in advance. 6) Spend about half of your study time working with your classmates. 7) Take advantage of tutors and office hours, extra help can make a big difference. |