MATH 2654

Spring 2003

**Instructor**: Dr. Scott Gordon, 324 Boyd, 836-4354.

**E-mail**: Office: sgordon@westga.edu, home:
lsa_gordon@mindspring.com.

**Time
and Location**: M, W, F
12:00-12:50, T 12:30-1:20,306 Boyd.

Office
Hours:

M |
1:00
– 4:00* |

T |
1:30
– 4:00 |

W |
11:00
– 12:00, 1:00 – 3:30 |

F |
11:00
– 12:00 |

(*1:30-3:30 in 302 Boyd)

If you
would like to see me but cannot come during one of these times, please call
first or make an appointment.

**Textbook**: *Calculus, Early Transcendentals, *by
James Stewart, Fourth Edition. We will cover Chapters 12-16.

**Course
Description**:
Three-dimensional space, vectors, vector-valued functions, motion along a
curve, functions of two or more variables, partial derivatives, max-min
problems for functions of two or more variables, double and triple integrals,
centroids and center of gravity, line integrals, conservative vector fields,
Green's Theorem, surface integrals, Divergence Theorem, Stoke's Theorem. (See
Learning Outcomes for more information.)

**Attendance
Policy**: You are expected
to attend class regularly. I will randomly select at least 10 days during the
semester to award bonus points (2 points per day) for attendance.

**Homework**: I will assign homework exercises after
each section. These problems will not be graded, but you may be quizzed on
them. I will allow some time during class to discuss the problems and I
encourage you to use my office hours if you have any questions about them.

**Quizzes**: Each week that there is not a test,
there will be a 15-minute quiz consisting of problems from homework. The first
quiz will be this Friday 1/10; after that, they will fall on Wednesdays. There
will be 10 quizzes in all, worth 20 points each.

**Tests**: There will be a test every third
Wednesday, four in all, worth 100 points each. Test dates: 1/22, 2/12,3/5,4/2.

**Make-up
Tests and Quizzes**: The
following requirements must be met in order for you to be permitted to make-up
a missed test or quiz: (i) You must have a *legitimate, verifiable *reason
for missing the test or quiz, (ii) you must notify me as soon as you are aware
of your need for a make-up, and (iii) you must be able (except in extreme
circumstances) to take the test or quiz on or before the day of the next class.

**Grading
Errors**: In order to have
a grade changed as a result of a grading error, you must bring the error to my
attention within one week of the time you received the graded test.

**Final**: A *cumulative *final exam worth
200 points will be given Wednesday, 4/30, 11:00-1:00. Everyone must take the
final exam. There will be ** no** exemptions.

**Grading
Scale**: A: 86-100, B:
72-85, C: 58-71, D: 44-57, F: 0-43.

**Grading**: Your final grade will be determined as
follows: Quizzes- 25%, Tests- 50%, Final Exam -25%.

**Withdrawal**: February 27 is the last day to withdraw
from the course with a grade of W.

**First
Homework Assignment**:
p.787 #3,11,13,15,17,21,29,33.

**Academic
Dishonesty Policy**: Any
student who engages in any form of academic dishonesty will receive an F for
the course. The incident will also be reported to the Office of Student Affairs
so that they can determine if further disciplinary action is warranted.
Academic dishonesty is defined as one or more of the following:

1.
Use of
unauthorized information during a test or exam.

2.
Copying
material from another student's paper during a test or exam.

3.
Giving or
receiving information during a test or exam.

4.
Giving
information about the content of a test or exam to a student who will be taking
the test at a later time.

5.
Obtaining
unauthorized information about the content of a test or exam before taking it.

6.
Copying
work done by another student on a problem set and presenting it as your own.

7.
Using
information from an unauthorized source in working on a problem set without
properly crediting that source.

8.
Allowing
another student to copy your work on a problem set.

**Learning
Outcomes**: The student
will be able to:

1.
Perform
basic vector operations such as addition, subtraction, scalar multiplication,
dot product, cross product, norm, or projection onto another given vector. (L1)

2.
Use the dot
product and/or the cross product to find the angle between two vectors. (L1)

3.
Determine
the components of a given vector that are parallel and orthogonal to another
given vector. (L1)

4.
Find
equations of lines, planes, and spheres in 3-space given geometric information
about them. (L1)

5.
Differentiate
and integrate vector-valued functions. (L1)

6.
Find the
length of a curve in 3-space. (L1)

7.
Find
curvature, tangential acceleration, and normal acceleration for an object
moving along a curve in 3-space. (L1)

8.
Find
partial and directional derivatives of a function of several variables. (L1)

9.
Find and
classify local and absolute extrema of a function of several variables. (L1)

10. Use Lagrange multipliers to find extreme
values of a function of several variables subject to a constraint. (L1)

11. Evaluate an iterated integral of a
function of several variables. (L1)

12. Determine the limits of integration of a
double or triple integral given the region of integration. (L1)

13. Change variables in a double integral
from rectangular coordinates to polar coordinates or in a triple integral from
rectangular to cylindrical or spherical coordinates. (L1)

14. Use double and triple integrals to find
surface areas, volumes, and centroids of regions in two and three dimensions. (L1)

15. Use double and triple integrals to find
masses, centers of mass, and moments of inertia. (L1)

16. Determine if a vector field is
conservative. (L1)

17. Evaluate a line integral directly and, in
the case of a conservative vector field, using the Fundamental Theorem of Line
Integrals. (L1)

18. Evaluate a line integral over a closed
curve using Green's Theorem. (L1)

19. Evaluate a surface integral directly and
using Stokes' Theorem. (L1)

20. Evaluate a surface integral over a closed surface either directly or using the Divergence Theorem. (L1)