MATH 202

VECTOR CALCULUS

Monday Wednesday and Friday 11:00 to 12:25

Rooms   E 100   

Instructor Larry Green

Phone Number Office: 541-4660 Extension 341

Internet

     e-mail:...greenl@ltcc.edu

     WWW: Math Department Home Page

      Your Grades

Required Text Calculus, Eighth 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

Visualization Tools on the Web:

Flash Mathlets  (Create your own graphs in 3D)     

Mathlets (3D examples and animations)

 

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: .....................................................….150 points

Midterm 1: Oct. 15 ...........................….….............150 points

Midterm 2: Nov 5............................................….150 points

Midterm 3: Dec 5 .....................….....….........…150 points

Final Exam: Wednesday Dec 8, 10:00 to 11:50 PM….....400 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.

Learning Disabilities If you have a learning disability, be sure to discuss it with Larry. Learning disabilities will be accommodated.

A Word on Honesty:

Cheating or copying will not be tolerated. People who cheat dilute the honest effort of the rest of us.  If you cheat on a quiz or exam you will receive an F  for the course, not merely for the test.  Other college disciplinary action including expulsion might occur. Please don’t cheat in this class.  If you are having difficulty with the course, please see me.

 

OFFICE HOURS:

Monday  ............................  9:30 to 10:30             A210

Tuesday..........................      10:00 to 11:00               MSC

Wednesday ....................      10:00 to 11:00             MSC

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

Friday........................            9:30 to 10:30                  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

9-24 Plane Vectors                    11.1        14, 28, 33, 70, 91
         Space Vectors                  11.2        3, 12, 38, 46, 67, 87,111
         The Dot Product               11.3        6, 26, 54, 68, 73, 81

9-26  The Cross Product            11.4        10, 29, 47, 61
          Lines and Planes               11.5        5, 14, 22, 37, 50, 77
          Surfaces                            11.6        2, 14, 25, 32, 42, 63

9-29  Vector Valued Functions    12.1         2,12,13,16,28,41,48,55,62,67,74,90,91,SP

10-1  Calc of Vector Functions    12.2        1,8,15,20,25,30,44,49,60,73,76

10-3  Velocity and Acceleration    12.3        1,12,17,22,28,33,36,44,49

10-6   Tangent & Normal Vectors 12.4        1,6,10,11,16,21,26,30,31,39,42,49,53,63

10-8     Arc Length & Curvature    12.5        1,6,11,15,21,26,36,44,46,67,83,86,87,89,90,91

10-10  Multivariable Functions          13.1        2, 13, 24, 39, 46, 53, 56
         Limits and Continuity             13.2        14, 16, 28, 33, 48, 56
         Partial Derivatives                 13.3        12, 24, 35, 52, 63, 76

10-13       Gradients                        13.6        8, 13, 18, 27, 32, 37, 46, 72, 78
         Tangent Planes                     13.7        6, 15, 21, 32, 45, 50, 55

10-15    Midterm I       

10-17        Iterated Integrals & Area       14.1      1,6,11,16,21,26,31,36,41,46,51,56,61,66,79,80   

10-20     Double Integrals & Volume    14.2        1,10,15,24,35,46,50,58,64,75,78

10-22  Double Ints. in Polar Coord.   14.3        1,10,15,22,24,29,32,41,53,56,58

10-24   Center of Mass, Inertia           14.4        1,12,21,26,31,38,46,55,SP
            California Population Density Map

10-27  Surface Area                          14.5        1,6,11,16,21,26,31,36,37,41,SP

10-29 Triple Integrals                        14.6        1,4,13,16,18,21,24,27,30,33,36,45,49,57

10-31    Cylind and Sphere Coord        14.7        1,4,7,10,13,17,21,27,30,31,34,37,45,SP

11-3      Jacobians                                 14.8      1,4,7,9,12,14,17,20,23,27,28,29,30    

11-5    Midterm II

11-7    Vector Fields                            15.1        1,6,15,25,32,38,44,56,59,63,77,80

11-10   Veteran's Day

11-12    Line Integrals                      15.2        1,7,13,16,19,25,30,36,42,45,50,57,70,80,82,84

11-14    Conservation & Independence  15.3        1,8,13,20,27,37,47,48,49,50,51

11-17  Green's Theorem                       15.4        1,4,7,13,16,19,25,32,41,44,47,SP 

11-19  Parametric Surfaces                   15.5        1,6,11,16,21,28,31,36,41,49,50,54

11-21  Surface Integrals                        15.6        1,6,11,18,25,30,36,39 + SP

11-24   Divergence Theorem                  15.7        1,4,7,10,14,17,21,22,23,24,25,27

11-26   Stokes Theorem                         15.8        1,4,7,10,11,14,17,18,21,26

11-28         Happy Thanksgiving

12-1  Special Topic:  Proofs            Handout

12-3   Special Topic:  Proofs            Handout 

12-5          Midterm III

12-8 Comprehensive Final Exam 10:00 - 11:50 PM

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