MAT 202

Vector Calculus

Fall 2009

 

Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu

 

Office Hours: Room A210, Mon., Fri.           10:00 – 11:00 AM

                                             Thurs.                 12:00 – 1:00 PM

MSC A201,   Tues.                  10:30 – 11:30 AM

                                              Wed.                 1:00 – 2:00 PM

And as always, by appointment.

 

Class Time and Location:    Mon., Wed., Fri.  11:00 AM – 12:40 PM, D108

 

Textbook: Calculus, 8th Edition, by Larson, Hostetler, & Edwards  

 

Calculator:   A graphing calculator is required for this class.  I will be demonstrating with the TI-89.

 

Course Description: MAT 202 covers the calculus of several variables including partial differentiation, applications of partial derivatives, vector fields, multiple integration, and vector analysis.

 

Prerequisite: A grade of C or better in MAT 107 or equivalent.

 

Student Learning Outcomes:

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

 

Course Grade: Your final letter grade will be based on the usual grading scale:

A 90-100%, B 80-89%, C 70-79%, D 60-69%, F 0-59%

The following items will make up the course grade:

 

Homework:                              10%

Quizzes:                                 15%

Exam1 (October 12)

Exam2 (November 2):                        45%

Exam3 (November 23)

Final Exam (December 7):     30%

 

You may check your grades at any point in the quarter by going to the following website and looking up your secret number:

 

http://www.gradesource.com/reports/1027/17029/index.html 


 

Homework: Homework will be due by 3:00 PM the class day after it is assigned.  Homework not turned in at this time will be considered late (no exceptions). You may turn in homework up to two class days after it is assigned for half credit.  If all homework is turned in, and no more than two are late, the lowest regular exam score will be dropped.  Your homework score will be determined in the following way: up to 5 points for completion and one point each for 5 problems chosen at random to be graded.

 

Quizzes: All exams will be given in two sections: one portion will allow calculators while the other will not.  If you cannot make it to an exam (final not included), you may take it up to 2 school days prior to the scheduled date with proper arrangements.  Otherwise, the exam may be made up after the scheduled date with a penalty of 10% per school day.  The final exam may not be taken after the scheduled exam time.

 

Exams: Students are to bring a pencil and blank scratch paper to each exam.  If you cannot make it to an exam (final not included), you may take it up to 2 school days prior to the scheduled date with proper arrangements.  Otherwise, the exam may be made up after the scheduled date with a penalty of 10% per day.

 

Registration Information: You may drop the class with no penalty or mark on your record on or before October 16.  After October 16, you may drop the class and receive a grade of W until November 6.  After November 6, if still enrolled, you will receive a grade of A, B, C, D, F or I.

 

How to Succeed in a Math Class: I am often asked how to successfully pass a math class, and here is my advice:

 

I) Come to every class session.  Be prepared, and plan on participating.

II) Do your homework.  Remember that what I assign is what I consider a bare minimum.  If you need more practice, do it.  Don’t make me be a homework enforcer.

III) Read the book.  You paid good money for it, so you might as well use it.

IV) Make use of available tutors and my office hours.  You will find tutors who know the subject matter in this course at the MSC.

V) Do math every day.  Math is just like everything else: if you don’t practice, you become rusty.

 

Learning Disabled Students: Students with disabilities who may need accommodations for this class are encouraged to notify me and contact the Disability Resource Center (DRC) early in the quarter so that reasonable accommodations may be implemented as soon as possible.  Students may contact the DRC by visiting the Center (located in room A205) or by phoning 541-4660, ext. 249 (voice) or 542-1870 (TTY for deaf students).  All information will remain confidential.

 

Technology in the Classroom:  All cell phones, headphones, MP3 players, iPods, etc, must be turned off and put away prior to the start of each class.  No electronic devices (other than calculators) may be used during quizzes and exams.

 

Academic Dishonesty: Academic dishonesty of any form will not be tolerated.  Students caught cheating on exams or quizzes will receive a score of zero on the assignment for the first offense and a course grade of F for the second offense.  Students my work together on homework assignments (and, in fact, are encouraged to) as long as all students understand the material covered.

 

Course Schedule:

The following is a tentative schedule.  If things change (and I have money that says they will), I will let you know.

 

September

21        11.1 – 11.3                  Vector Review from Mat107

23        11.4,11.5,11.7             More Vector Review

25        12.1                             Vector Valued Functions

28        12.2, Quiz I                 Differentiation and Integration of Vector Functions

30        12.3                             Velocity and Acceleration       

 

October

2          12.4                             Tangent and Normal Vectors

5          12.5, Quiz II                Arc Length and Curvature

7          13.1-13.3                     Review of Functions of Several Variables

9          Review           

12        Exam I

14        13.5,13.6                     More Review of Functions of Several Variables        

16        14.1                             Iterated Integrals and Area     

19        14.2, Quiz III               Double Integrals and Volume

21        14.3                             Change of Variables: Polar Coordinates

23        14.4                             Center of Mass, Moments of Inertia

26        14.5, Quiz IV               Surface Area

28        14.6                             Triple Integrals

30        Review

 

November

2          Exam II

4          14.7                             Triple Integrals in other Coordinate Systems

6          14.8                             Change of Variables: Jacobians

9          NO CLASS                 Veteran’s Day

11        15.1                             Vector Fields

13        15.2                             More on Line Integrals

16        15.3, Quiz V                Conservative Vector Fields

18        15.4                             Green’s (No, not Larry…) Theorem

20        Review

23        Exam III

25        15.5                             Parametric Surfaces

27        NO CLASS                 Thanksgiving (GO BRONCOS!!!)     

30        15.6, Quiz VI               Surface Integrals

           

December

2          15.7                             Divergence Theorem

4          15.8                             Stokes’ Theorem

7          Final Exam                 Note: The Final Exam is from 10:00 AM – 12:00 PM

The following is a list of all homework assignments for this course.  The due dates for the various sections will be given in class.

 

Section

Assignment

11.1

24,29,33,38,44,49,66,89

11.2

27,36,39,57,66,69,80,93,100

11.3

3,10,16,25,69,74

11.4

10,15,34,37,42

11.5

5,10,20,29,42,59

11.7

2,7,16,31,38,47,87-92

12.1

5,8,10,13,17-20,48,58,69,74,77,80,90,91

12.2

12,17,24,30,37,49,54,57,68

12.3

4,9,16,19,22,27,34,36,44,49

12.4

7,10,12,25,28,32,39,76

12.5

1,5,11,13,21,26,36,41,57,62,68,75,76

13.1

14,17,24,45-48,81

13.2

11,18,22,41,46,73

13.3

18,47,56,75,86

13.5

9,18,28,39,56

13.6

6,15,26,27,37,63

14.1

14,17,19,23,24,37,40,41,44,52,61,64

14.2

9,12,16,19,22,27,30,51,56,65

14.3

1-4,10,15,22,24,29,32,39,42,46,53,54

14.4

1,12,21,31,38,43,47-50

14.5

1,7,9,13,18,29,32,39

14.6

2,5,20,29,33,36,48,65

14.7

2-5,13-16,21,24,32,35

14.8

4-7,10,13,19,22,27,30

15.1

1-6,13,14,38-41,43,46,51,54,62,63,71,72,75,76

15.2

4,5,12,13,16,17,22,25,27,30,38,47,52,56,61,68

15.3

13,16,20,23,27,32,35,40,47-50

15.4

7,8,13,18,23,24,28,45

15.5

1-4,7,22,25,33,34,37,40,49

15.6

3,6,13,14,18,21,25,28,30,34,36

15.7

4,6,9,13,16,17

15.8

7,10,13,17,18,22