Spring 2007 Math 2654
Section 1: Calculus III** **

MWF 12:20 - 01:15 pm, R 12:30
- 01:20 pm at Boyd 301

** **

** **

Instructor: Dr. Van Minh Nguyen

Office:
Boyd 319

Phone:
678-839-4130; Fax: 678-839-6490

Email:
__vnguyen@westga.edu__

Office
Hours: MWF: 9-10 am, 11:15 am-12:15pm; M:
2:30-4:00 pm; R: 10:00 am-12:30 pm; or by appointment.

Hours Credit: 4 hours

Prerequisites: MATH 2644 with a grade of
C or higher

Textbook:**
Ò***Multivariable Calculus
- Early Transcendentals*Ó, 5^{th}
Edition. James Stewart.

Description:** **This is a continuation of MATH 2644.
Topics include functions of two, three, and more variables, multiple integrals,
and topics in vector calculus.

This course covers:** Chap. 12:** Sect. 1-7**; Chap. 13:** Sect.1- 4;
**Chap. 14:** Sect. 1-8; **Chap.15:** Sect. 1-9; **Chap. 16:** Sect. 1-9.

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

- Compute
vector sums, difference, and scalar products.
- Compute
dot products and cross products of vectors .
- Compute
equations of lines and planes in space .
- Compute
the unit tangent vector, the unit normal vector, the unit bi-normal
vector, the curvature, and the torsion of a space curve.
- Compute
the tangential and normal components of acceleration.
- Convert
between Cartesian, cylindrical, and spherical coordinates in space.
- Compute
the limit of a function of two or three variables.
- Determine
if a function of two or three variables is continuous at a point.
- Compute
partial derivatives, gradients, and directional derivatives of functions
of two and three variables.
- Compute
using the Chain Rule for functions of several variables.
- Demonstrate
understanding of the significance of the gradient vector.
- Solve
theoretical and applied max-min problems using either direct methods or
the method of Lagrange multipliers.
- Find and
classify critical points of functions of two and three variables.
- Set up
and evaluate double and triple integrals as iterated integrals in
Cartesian, polar, cylindrical, and spherical coordinates.
- Set up
and evaluate double and triple integrals as iterated integrals in
Cartesian, polar, cylindrical, and spherical coordinates.
- Solve
applied problems involving areas, volumes, centers of mass, first, second
and polar moments of inertia.
- Evaluate
line integrals, including applying the Fundamental Theorem of Line
Integrals.
- Demonstrate
an understanding of the concepts of conservative vector fields and
independence of path.
- Compute
using Green's Theorem, Stokes' Theorem and the Divergence Theorem.

** **

Calculators: You
are not allowed to use Ò**advanced**Ó
calculators such as TI-84 or better in your tests or final exam.

__Grading Procedure __:

**Tests (300
points): **There will be three 55-minute
tests, each worth 100 points.

**Quizzes (100
points): **There will be approximately 14
short quizzes. The best 10 quizzes will count. Each quiz is worth 10 points.

**Final Exam
(200 points):** There will be a
comprehensive final exam, worth 200 points.

**Extra
Credits: ** are given to those students
who actively participate in discussion and in solving problems.

For your grade
in the course, the following grading scale will be used:

á
540-600 points earns a grade of A

á
480-539 points earns a grade of B

á
420-479 points earns a grade of C

á
360-419 points earns a grade of D

á
below 360 points earns a grade of F

**Test and
Quiz Policy: **No make-up tests or
quizzes will be given. Missed quizzes and tests get a grade of 0.

**Homework:
**Homework will be assigned
during each class meeting or on the web page of this course. It is to be
completed by the next class meeting. It is ESSENTIAL to your success in
the course that you do the homework regularly, and on time. Part of each
homework assignment is to read the corresponding material in the text.

**Attendance
Policy**: Students are expected to attend
every class. If a class is missed, the student is responsible for all material,
assignments and announcements.

**Attendance**: 8 absences lead to WF.

**Important
Dates: **

** **

Feb. 16 |
Test
1 |

March 16 |
Test
2 |

April 13 |
Test
3 |

See Scoop Spring 2007 |
Final
Exam |