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 by Chan, Stanneck, and Green

Course description The topics covered in this course include Vectors 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. 7 ......................…….....125 points

Midterm 2: Nov 1.................................…125 points

Midterm 3: Nov 23 ..................…………125 points

Project: Dec 1...........................................125 Points

Final Exam: Dec 8, 4:00 to 5:50 PM…..…375 points

Exam Policy Students are to bring calculators, pencils or pens, and paper to each exam. A one page (standard size)

front and back formula sheet may be used during each midterm, and a two page formula sheet may be used during the final 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.   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.  You will be required to give frequent presentations, each counting as one homework assignment.

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 1 + n pages where n is the number of individuals in your group.  Additional guidance will be provided later in the quarter.

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 15.

3. After October 15, you may drop the class and receive a grade of W until Friday, November 19.

4. After November 19, 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 ….. 9:30 to 10:30

Tuesday, Thursday……. 3:00 to 4:00

Friday………………...10:00 to 11:00

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. 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

9-20 Introductions

9-21 Review (Vector Worksheet) Vectors and Vector Algebra

9-22 Review (Vector Product Worksheet)

9-23 Review (Partial Derivatives Worksheet) Partial Derivatives and the Chain Rule

9-27 Review (Integration Worksheet)

9-28 Vector Functions 13.1 Try This 1-7 Ex1,2,3,8,12,15,18, 26,31,35,38,41,46,48,50,53

9-29 Vel, Acc, and Arclen 13.2 Try This 1-4

9-30 Vel, Acc, and Arclen 13.2 1,2,3,6,9,12,15,18,21,24,27,30,33,36,38,39,40,41,42

10-4 Tan and Normal Vects 13.3 Try This 1-3 Ex1,2,3,6,9,12,13,16,17,20,23,26,29,30,31,32

10-5 Curvature 13.4 Try This 1-6

10-6 Curvature 13.4 1,2,3,6,9,12,15,18,21,24,27,30,33,36,39,41,42,44,45,46,47

10-7 Midterm I

10-11 Return Midterm I

10-12 Kepler's Laws  13.0  Presentations

10.13  Kepler's Laws  13.0

10-14 Double Integrals  15.1

10-18 Iterated Integrals 15.2 Try This 1,2

10-19 Iterated Integrals 15.2 1,2,5,13,18,23,28,34,39,44,45,46,47,48,49,50

10-20  Doub Int in Polars 15.3 Try This 1, Ex, 2,5,8,11,14,17,20,23,26,29,31,32,34,35

10-25  Triple Integrals 15.5 Try This 1-3

10-26  Triple Integrals 15.5 1,4,7,10,13,16,19,22,25,28,31,33,34,35

10-27  Triple Integrals in Cylindrical and Spherical Coordinates  15.6  1,2,3,6,9,12,15,18,21,22

10-28  Applications of Multiple Integration  15.8  Try This 1-3, Ex 1,2,3,6,9,12,15,18,21,24,27,28,29,30

11-1  Midterm II

11-2  Return Midterm II

11-3  Jacobians  15.7 Try This 1,2 

11-4  Jacobians  15.7  Ex 1,2,3,6,9,12,15,18,21,23,24,25

11-8  Vector Fields   16.1 Try This 1,2, Ex 1,2,3,6,9,12,15,18,21,24,31,36,41,43,44,47,50,55,55,56

11-9  Line Integrals  16.2  Try This 1

11-10  Line Integrals  16.2  1,2,3,8,9,12,13,16,19,22,25,28,31,34,37,40,42,43,44,45,46

11-11 Fundamental Theorem of Line Integrals  16.3    Try This 1, Ex1,4,7,10,13,16,19,22,25,28,31,34,35,36,37,38,39

11-15 Green's Theorem  16.4    Try This 1

11-16 Green's Theorem  16.4    1,2,3,6,9,12,15,18,21,24,27,30,33,34

11-17 Surface Integrals  16.5    Try This 1, Ex 1,2,5,8,11,14,17,20,26,31,36,38,39

11-18 Divergence Theorem  16.6    Try This 1

11-22  Divergence Theorem  16.6    1,2,3,6,9,12,15,18,21,24,27,28 (36,37)

11-23  Midterm III

11-24  Return  Midterm III

11-25 Happy Thanksgiving

11-29  Stokes Theorem  16.7    Try This 1

11-30  Stokes Theorem  16.7    1,2,3,6,9,12,15,18,19,20,21,22

12-1   Project Due

12-2  Review

12-6 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.