MATHEMATICS 221

Calculus III

John Travis
MCC 206
travis@mc.edu
925-3817

  Photos | Extra Credit #1 | Extra Credit #2
Textbook | Course Description | Course Meetings | Grading

MAT 221 Textbook and other Instructional Materials:  Calculus with Early Transcendentals, 3rd edition by Larson, Hostetler and Edwards.
Alternate Text:  Calculus, 7th edition, by Larson, Hostetler and Edwards.

A good calculator, preferably a graphing calculator such as the TI-83, is highly recommended for this class. Software built into graphing calculators will be utilized extensively for classroom demonstrations. Further, a number of other software packages downloaded from the internet will be utilized to illustrate the concepts. Students will be able to access all classroom materials from the instructor's web site.

Prerequisites: MAT 121 and 122 (Calculus I and II)

Web Resources:

• Peanut Software – freeware math software. Winplot will be used for some of the student computational projects.
• Math Archives at the University of Tennessee - a number of shareware graphing programs.
• MAA Online - general interest information and many links to other web resources for calculus.

Periodicals:

• The American Mathematical Monthly, published by the Mathematical Association of America, 1529 Eighteenth Street, NW, Washington, DC 20036-1385
• The College Mathematics Journal, published by the Mathematical Association of America, 1529 Eighteenth Street, NW, Washington, DC 20036-1385
• Mathematics Magazine, published by the Mathematical Association of America, 1529 Eighteenth Street, NW, Washington, DC 20036-1385

Course Description: In Calculus I and II, a student will have demonstrated a basic ability to utilize limits, derivatives and the integrals. In this course, the student continues to develop applications for these basics in dealing with infinite sequences and series and with non-Cartesian coordinate systems. Also, in developing applications for many real-world problems, one needs to to understand multi-dimensional coordinate systems. In this course, the student will begin to explore this area by looking at how calculus relates to vectors in a 2-dimensional setting.

Description from the college catalog:  A study of numerical methods, infinite series, polar coordinates, and vectors in the plane.

This course carries 3 hours of academic credit.

The student who is prepared for a study of Calculus III is assumed to be proficient with the following:

• Limits by the rules
• Continuity
• Definition of Derivative
• Derivatives by the Rules
• Application of the Derivative
• Mean Value Theorem for Derivatives
• Definition of Integral
• Integration Rules
• Logarithms and Exponentials
• Inverse Trig Functions
• Integration by Parts
• Partial Fractions.

Learning Objectives: The student will demonstrate a comprehensive understanding of the following:

• Sequences - methods of expression and methods for determining convergence
• Series, including Power Series - various methods of testing for convergence and applications
• Taylor's Theorem and Taylor's Series - application
• Calculus of polar coordinates and conic sections - conversion between coordinate systems and applications
• Vector Calculus in a 2-dimensional settings - vector operations and multi-dimensional lines and planes
• Vector-valued functions - basic operations, differentiation, integration and applications, curvature

(Roughly chapters eight thru eleven of the text.)

In aiming at these target ideas, we will use graphical calculators and computers to promote better intuition, greater understanding and increased proficiency in doing mathematics.

Meetings: This class meets as scheduled. You are expected to be in class on time. University policy states that a student cannot miss more than 25% of class meetings and receive credit for the course. Further, attendance will be necessary in order to understand the material and make a good grade. The student is responsible for work and material missed when absent. Cheating in any way will be properly rewarded according to University policy (Tomahawk; Undergrad. Bulletin).

If you need special accommodations due to learning, physical, psychological, or other disabilities, please contact Dr. Buddy Wagner in the Counseling and Career Development Center. He may be reached by phone at (601) 925-3354 or by mail at P.O. Box 4013, Clinton, MS 39058.

Grading: Assessment of the student's progress will be made through daily quizzes and examinations as well as through classroom feedback.  During the term, there will be at least three exams during the semester. The daily quizzes will be collected and graded. Extra credit quiz grades to replace missed or low quiz grades will be granted for students preparing a review of an approved article from the periodicals listed above. Further, some computer oriented projects will be assigned and count as another quiz grade each. An average of all of the quiz grades will count as an additional exam grade. The semester grade will be based on an average of these exam grades. Any quizzes or projects missed will be awarded a grade of zero. Your final average will be computed by taking an average of the exam grades and the quiz grade. Near the end of the term, an out-of-class, comprehensive makeup exam will be given for any student missing one or more exam with an excused absence. There will be no makeups for quizzes.

The grading scale is

A=90-100

B=80-89

C=70-79

D=65-69

F=0-64

Aim now for the desired grade. Finally, all graded work will be returned to the student for keeping. If there were any question later about your grade, you would be expected to show these papers.