MATH 3202. Calculus 4 (Multivariable Calculus)

Instructor : Dr. Peh Ng --

Time : 11am - 11:50 MTThF

Venue : SS 136

Quarter : Fall 1998

OFFICE: Sci 241

OFFICE HOURS: Monday - Friday : 10:00 - 10:50am or by appointment

PHONE: 589-6318 or 589-6300

E-MAIL: pehng@cda.morris.umn.edu

Course Web Page : http://www.morris.umn.edu/~pehng/Quarters/Ma3202

REQUIRED CLASS MATERIAL:
Class Notes, Handouts & Textbook: Multivariable Calculus (3rd Edition) by James Stewart
To facilitate in-class discussions, it is recommended that you do some reading of the text.

PREREQUISITES: up-to-date knowledge of Calculus 1, 2 & 3, Algebra and Trigonometry.
Willingness to work hard, to spend at least 2 hours daily on this course outside class, & to think analytically.

MATERIAL COVERED:

Chapter 11. 3-D Analytic Geometry and Vectors.
Review of vector algebra; dot product, cross product; equations of lines and planes in 3-D; arc-length and curvature; motion in space - velocity and acceleration.

Chapter 12. Partial Derivatives.
Functions of several variables; limits and continuity; partial derivatives; tangent planes and differentials; the chain rule; directional derivatives and the gradient vector; maximum and minimum values; Lagrange multipliers.

Chapter 13. Multiple Integrals.
Double integrals over rectangles, regions and in polar coordinates; iterated integrals; applications of double integrals; surface area; triple integrals in spherical and cylindrical coordinates; change in variables in multiple integrals.

Chapter 14. Vector Calculus. (If time permits...)
Vector fields; Fundamental Theorem for line integrals; Green's Theorem; curl and divergence; parametric surfaces and their areas; surface integrals; Stoke's Theorem; the divergence theorem.

GRADING:

1. Three exams - 100 points each. 300 points

2. Final exam (see UMM bulletin) 150 points

3. Homework (computer & written) - assigned almost daily. 50 points

No late homework will be accepted and NO make-up exams will be given, unless arrangements are made with the instructor prior to the due date of the homework.

Course Grades

GUARANTEED GRADE	IF TOTAL PERCENTAGE x is
A	93 <= x <= 100
A-	90 <= x <= 92
B+	87 <= x <= 89
B	83 <= x <= 86
B-	80 <= x <= 82
C+	77 <= x <= 79
C	73 <= x <= 76
C-	70 <= x <= 72
D+	67 <= x <= 69
D	60 <= x <= 66

PLEASE FEEL WELCOME TO SEE ME OUTSIDE OF THE CLASS, ANY TIME, IF YOU HAVE QUESTIONS, PROBLEMS, OR COMMENTS PERTAINING THE COURSE WORK.

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