MATH 202

VECTOR CALCULUS

Monday and Wednesday 1:30 to 2:35

Tuesday and Thursday 1:00 to 2:05

Rooms Mondays:  G1    Tuesdays, Wednesdays, and Thursdays G2A     

Instructor Larry Green

Phone Number Office: 541-4660 Extension 341

Internet

     e-mail:...greenl@ltcc.edu

     WWW: http://www.ltcc.edu/depts/math/

      Your Grades

Required Text Calculus, Seventh 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 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. 13 ...........................….….............125 points

Midterm 2: Nov 5............................................….125 points

Midterm 3: Dec 4 .....................….....….........…125 points

Project: Dec 3.....................................................125 Points

Final Exam: Wednesday Dec 10, 1:00 to 2:50 PM….....375 points

Course Objectives

• Exhibit a proficiency in the topics covered in the course.
  
• Engage in logical and critical thinking.
  
• Read technical information.
  
• Demonstrate the solution to problems by translating written language into mathematical statements, interpreting information, sketching relevant diagrams, analyzing given information, formulating appropriate math statements and checking and verifying results.

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 is due each day at 5:00 PM.   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 two pages (typed). You may write any equation by hand. You are encouraged to have Maple 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.

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 17.

3. After October 17, you may drop the class and receive a grade of W until  Friday, November 21.

4. After November 21, 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:

Monday  ............................  5:00 to 6:00 PM            A210

Tuesday..........................      2:15 to 3:15                   GMC

Wednesday ....................      12:30 to 1:30                 GMC

Thursday........................       10:00 to 11:00                 A210

Friday........................            10:00 to 11:00               A210

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-89.

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

9-22 Introductions

9-23 Plane Vectors                    10.1        14, 28, 33, 70, 89
         Space Vectors                  10.2        3, 12, 36, 46, 67, 89,111
         The Dot Product               10.3        6, 26, 56, 65, 73, 81

9-24  The Cross Product            10.4        10, 29, 47, 61
          Lines and Planes               10.5        5, 14, 22, 31, 50, 77
          Surfaces                            10.6        2, 14, 19, 32, 40, 63

9-25  Vector Valued Functions    11.1         1,12,13,16,28,41,48,55,62,67,74,90,SP

9-29  Calc of Vector Functions    11.2        1,8,15,20,25,30,44,49,60,70,73

9-30  Velocity and Acceleration    11.3        1,12,17,22,29,33,36,44,49

10-1   Tangent & Normal Vectors 11.4        1, 6, 10, 11, 16, 21, 26, 30

10-2   Tangent & Normal Vectors   11.4        31, 36, 39, 42, 49, 51, 53, 63

10-6 Arc Length & Curvature        11.5        1,6,11,15,21,26,36,41,43,46,67,83

10-7 Arc Length & Curvature        11.5        85, 86, 87, 88, 89, 90, 91, 92

10-8 Multivariable Functions          12.1        2, 13, 24, 39, 46, 53, 56
         Limits and Continuity             12.2        14, 16, 29, 34, 48, 56
         Partial Derivatives                 12.3        12, 24, 35, 52, 63, 76

10-9 Gradients                              12.6        8, 13, 18, 27, 32, 37, 46, 66, 78
         Tangent Planes                       12.7        6, 15, 21, 32, 45, 50, 51

10-13             Midterm I

10-14      Return Midterm I

10-15  Iterated Integrals & Area       13.1      1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31

10-16  Iterated Integrals & Area      13.1        34, 37, 42, 47, 50, 51,54, 61, 66, 78

10-20  Double Integrals & Volume    13.2        1,10,15,24,35,46,50,58,64,75,78

10-21  Double Ints. in Polar Coord.   13.3        1,10,15,22,24,29,32,41,53,56,58

10-22  Center of Mass, Inertia           13.4        1,12,21,26,31,38,46,55,SP

10-27  Triple Integrals                        13.6        1, 4, 7, 13, 16, 18,21, 24, 27, 30  

10-28  Triple Integrals                        13.6        33, 36, 37, 45, 49, 57

10-29  Cylind and Sphere Coord        13.7        1, 4, 7, 10, 13, 16, 17, 21, 24

10-30  Cylind and Sphere Coord        13.7        27, 30, 31, 34, 37, 45, SP

11-3    Jacobians                                 13.8      1, 4, 7, 9, 12, 14, 15, 17 

11-4    Jacobians                                 13.8       20, 23, 24, 27, 28, 29

11-5        Midterm II

11-6        Return Midterm II

11-10  Veteran's Day       

11-11    Vector Fields                            14.1        1,6,15,25,32,38,44,56,59,63,77,80

11-12    Line Integrals                            14.2        1,7,13,16,19,22,25,30,36

11-13    Line Integrals                            14.2        37,42,45,50,57,63,68,70,72,73,74

11-17    Conservation & Independence  14.3        1,8,13,20,27,37,47,48,49,50,51

11-18  Green's Theorem                       14.4        1,4,7,13,16,19,25,32,41,44,47+SP

11-19  Parametric Surfaces                   14.5        1, 4, 7, 10, 13, 16, 19, 22, 25, 28

11-20  Parametric Surfaces                   14.5        31, 34, 37, 40, 49, 50, 52

11-24  Surface Integrals                         14.6        1,6,11,18,25,30,36,39 + SP

11-25  Divergence Theorem                   14.7        1, 4, 7, 10, 14, 17

11-26  Divergence Theorem                   14.7        21, 22, 23, 24, 25, 27

11-27         Happy Thanksgiving

12-1  Stokes Theorem                         14.8        1, 4, 7, 10, 11, 14, 17

12-2  Stokes Theorem                         14.8        18, 21,  25, 27

12-3           Project Due

12-4          Midterm III

12-10 Comprehensive Final Exam 1:00 - 2:50 PM G2-A

HOW TO SUCCEED IN A MATH CLASS

• Come to every class meeting.
  

• Arrive early, get yourself settled, spend a few minutes looking at your notes from the previous class meeting, and have your materials ready when class starts.
  

• Read each section before it is discussed in class.
  
• Do some math every day.
  
• Start preparing for the tests at least a week in advance.
  
• Spend about half of your study time working with your classmates.
  
• Take advantage of tutors and office hours, extra help can make a big difference.

Questions, Comments and Suggestions  Email:  greenl@ltcc.edu