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:  Multivariable Calculus - Early Transcendentals, 5th 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:

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

 

 

 

 

Calculators: You are not allowed to use advanced 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:

        540-600 points earns a grade of A

        480-539 points earns a grade of B

        420-479 points earns a grade of C

        360-419 points earns a grade of D

        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