MATH 202

VECTOR CALCULUS

Monday Wednesday and Friday 1:00 to 2:40

Rooms   E 106   

Instructor Larry Green

Phone Number Office: 541-4660 Extension 341

Internet

     e-mail:...DrLarryGreen@gmail.com

     Sample Lecture Notes

     Videos on Worked Out Problems 

Required Text Calculus, Tenth 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)

Exploring Multivariate Calculus (Another 3D graph creator and collection of activities)

 


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 10, 12:00 to 1:50 PM….....400 points

 


Student Learning Outcomes

  • Perform calculus on vector value functions.
  • Evaluate double and triple integrals.
  • Integrate vector value functions.
  • Relate types of single and multiple integrals using the major theorems of vector calculus.
  • Apply multivariable calculus to problems arising from physics.

 

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 one is scored less than 5 for the exam coverage times, then you may bring a 3"x5" note card to that exam.  If all homework for the entire quarter is completed and no more than three are scored less than 5, then you may bring a 3"x5" note card to the final.

Homework Policy Homework is due each day in class after the homework Q&A time.   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 only 1 point will be awarded.  

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

Cell Phones:  Cell phones must be turned off while class is in session.  A 5% penalty will be given to any student whose cell phone goes off during a quiz or exam.

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  ............................  2:40 to 3:40        MSC

Tuesday..........................      3:00 to 4:00        A210

Wednesday ....................      2:40 to 3:40          A210

Thursday  ...........................  12:00 to 1:00          A210

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


CALCULATORS:  The TI 89 or nSpire CAS calculator is required for this class.



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, 25, 33, 70, 91
         Space Vectors                  11.2        3, 12, 38, 46, 67, 86, 97
         The Dot Product               11.3        7, 26, 55, 65,66, 73, 76

9-26  The Cross Product            11.4        10, 29, 50, 53
          Lines and Planes               11.5        7, 16, 30, 43, 50, 83
          Surfaces                            11.6        2, 14, 21, 34, 44


9-29  Vector Valued Functions    12.1         2,12,13,20,32,45,52,59,62,67,74,89,90,91,92,93,94,SP

10-1  Calc of Vector Functions    12.2        1,14,20,23,26,37,44,49,58,71,74,,79,80,81,82

10-3  Velocity and Acceleration    12.3        1,12,22,28,33,36,39,48,53


10-6   Tangent & Normal Vectors 12.4        1,6,11,16,21,26,30,34,39,42,49,55,65

10-8     Arc Length & Curvature    12.5        1,6,11,15,21,26,36,48,52,79,89,90,91,92,93,94,95,96

10-10  Multivariable Functions          13.1        4, 15, 24, 41, 46, 53, 56, 90
         Limits and Continuity             13.2        15, 19, 38, 59, 62, 70
         Partial Derivatives                 13.3        12, 34, 51, 62, 75, 96


10-13       Gradients                        13.6        8, 13, 20, 25, 32, 37, 46, 68, 70, 75
                 Tangent Planes               13.7        7, 18, 21, 32, 45, 50, 56

10-15    Exam I       

10-17        Iterated Integrals & Area       14.1      1,6,11,16,21,26,31,36,41,46,51,56,61,66,71,85,86   


10-20       Double Integrals & Volume    14.2        1,10,15,24,35,46,50,54,58,65,70,74

10-22       Double Ints. in Polar Coord.   14.3        1,10,15,22,28,31,35,40,47,64,66,69

10-24   Center of Mass, Inertia           14.4        1,12,21,26,31,38,44,48,SP
            California Population Density Map


10-27     Surface Area                          14.5        1,6,11,16,21,26,32,35,36,SP

10-29    Triple Integrals                        14.6        1,4,13,16,20,21,24,27,30,33,36,42,48,55,63,70

10-31    Cylind and Sphere Coord        14.7        1,4,7,10,13,17,23,29,32,33,38,41,48,SP


11-3      Jacobians                                 14.8      1,4,7,9,12,16,20,23,27,30,35,37,38,39,40    

11-5    Exam II

11-7    Vector Fields                             15.1        1,6,15,25,32,38,44,52,53,62,69,83


11-10    Veteran's Day                        

11-12     Line Integrals      15.2        1,7,13,16,19,25,30,36,42,45,50,57,70,76,82,84

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


11-17   Green's Theorem                       15.4        1,4,7,13,16,19,22,25,32,42,44,SP

11-19  Parametric Surfaces                   15.5        2,7,12,17,22,29,32,37,42,49,53,60

11-21  Surface Integrals                        15.6        1,6,11,18,25,30,32,35,SP


11-24   Divergence Theorem                  15.7        1,4,7,10,14,17,23,24,25,26,27

11-26   Stokes Theorem                         15.8        1,4,7,10,11,14,17,18,23,24

11-28         Happy Thanksgiving


12-1  More on Transformations            Handout

12-3   More on Transformations            Handout 

12-5          Exam III


12-10 Comprehensive Final Exam 12:00 - 1:50 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:  DrLarryGreen@gmail.com