Calculus III

Department of Mathematical Sciences

The University of Memphis

**Course Description:**

This course, the third in the Calculus sequence, is intended to provide
students majoring

in the physical sciences with the mathematical tools and concepts needed to
complete their

course work in other topics. The main emphasis of Calculus III lies in shifting
from the study

of analytic geometry in the plane (two-dimensional) to that of higher
dimensions, involving

vector-valued and multivariate functions.

The first part of this course is almost purely geometric, involving hardly any
differential or

integral calculus, covering vectors, lines and planes in three dimensions, and
graphing techniques

for three-dimensional coordinate systems. The next part of the course covers
vector-valued and

multivariate differential calculus, and the last part of the course covers
multiple integration and

vector-valued integral identities. An argument could be made that the whole
point of studying

calculus (at least, for the engineering or applied physics major) is to get to
the topics we will

cover at the end of this course.

**Course Prerequisites:**

MATH 1910 (Differential Calculus) and MATH 1920 (Integral Calculus).

**Text:**

Calculus: Early Transcendentals, Stewart, 8^{th} edition

**Course Content:**

Chapters 12 through 16 from the text.

**Web Resources:**

WebAssign: www.webassign.net (publisher’s website)

Dr. Dwiggins's Home Page: dpdsdogs.com/dpd/math/

**Instructor:**

D. P. Dwiggins, PhD (send e-mail: ddwiggns@memphis.edu)

**Office:**

Room 368, Dunn Hall (third floor)

**Hours:**

10-11 Mon, 9-10 Fri,

1:00-2:00 Thursdays

**Telephone:**

678-4174

**Course Evaluation:**

There will be three
100-point tests and a 100-point daily average based on written homework assignments.

The lowest of these four scores will be dropped, leaving a total of 300 points. The final exam is also worth

100 points, and can be used to replace the lowest test score. The semester average is then based on
dividing

this 400-point total by four. You can also
raise this average using the additional WebAssign homework

assignments posted online, giving a 500-point total to be divided by five.

**Grade Calculation:**

Based on the semester average, grades are assigned according to the posted Grade Scale.

**Make-Up Policy:**

Three-day make-up (with excuse) for missed test or exam.

**Attendance Policy:**

As needed for purposes of reporting to the University.