Math 233-24              Calculus III              Spring 2005
Instructor	Office	Phone	Hours
Jimmie Lee Johnson	SCH 153	(847)619-????	TuTh 5:30-6:30pm
Class: Tu 6:30pm SCH 810
	E-mail:  jjohnson@roosevelt.edu Web Page:  http://faculty.roosevelt.edu/jjohnson/Spring2005/M233S05.htm

Texts: Multivariable Calculus, Concepts and Contexts, by James Stewart, Brooks/Cole,2nd ed.,2001
Maple Animation, by John F. Putz, Chapman & Hall/CRC, 2003.

Prerequisite: Grades of C or better in MATH 232 Calculus II or consent.

Class will consist of quizzes, examples, problem solving and the answering of questions. Prior to each class, you must do the assigned reading or you will be lost; make notes of topics you feel need elaboration in class. You are responsible for all assigned reading even if it is not discussed in class.  Class will consist of:
     1. a short quiz each week;
     2. a question and answer period on the current assignment; and
     3. discussion of new material via examples. Have questions ready!
The second text has an introduction to the Maple software and has chapters on vectors and functions of several variables. In particular, the use of Maple for plotting curves, and surfaces, as well as calculations. It should be of some help in the completion of the assigned Maple Problems.

Quizzes will be given each week beginning February 1st, except for the weeks of the exams. The quizzes will be closed book, and will count for 15% of your grade. The two lowest quiz grades will be dropped. No make-ups; a missed quiz will count as one of the dropped grades.

Homework will be collected, discussed, graded and eventually returned; please leave the assignment on the instructor's desk whether I ask for it or not. Homework will count for 15% of your grade. Late homework may be downgraded. Homework later than the last regular day of class will not be graded.

Maple Problems will be assigned and due at various times during the semester; please leave the assignment on the instructor's desk whether I ask for it or not. Their average will count for 10% of your grade. Timely work is needed to get full credit. Students who are not familiar with Maple should make appointments with the instructor for getting acquainted with the software.

Exams will be given on Tuesday, March 1st, and Tuesday, April 5th. These will be closed book, but may require the use of a TI-83 graphing calculator. Their average will count for 30% of your grade. No make-ups except for excused absences with advance notice. The grade on the subsequent exam will be used for both.

Final Examination will be given on Tuesday May 10th, closed book and comprehensive, but may require the use of a TI-83 graphing calculator. It will count for 30% of your grade.

Grades: Regulations covering grades (especially I and W) are on pages 264-265 of the 2004-2006 Undergraduate Catalog or on pages 184-185 of the 2003-2005 Graduate Catalog. Incompletes will not be given, except to a student who has done passing work up to the Final Examination (including most of the homework) but misses the final exam because of an excused absence with advanced notice. The last day to drop a class (with a grade of "W") is Friday, March 25th, and the drop form must be submitted to the Registrar's Office. Anyone registered after that must be graded solely on academic performance.

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Objectives: The student is expected to learn the following concepts and to be able to apply them in the solution of problems. 1.) The concept of vector, in the plane and in 3-space, along with its various operations, including the scalar and vector products. 2.) The various lines, curves, planes, quadric surfaces and the like, including their graphs and their descriptions by various types of equations. 3.) The partial derivatives of functions of several variables and what they tell about the functions. 4.) The concept of multiple integration, including the double and triple iterated integral of functions described by different coordination systems. 5.) The concept of maximum and minimum values of functions of several variables and how one might determine both local and absolute extreme values. 6.) A basic understanding of how to use Maple to graph curves and surfaces and to compute derivatives and integrals. For assessment purposes, copies of some graded homework assignments of each student will be placed in a file in the school office for further review. That further review will not affect the grade or standing of the student.

Syllabus
(The basic definitions and properties of the derivatives and integrals of functions of a single variable are assumed from MATH 231 and MATH 232 .)

Date	Sections	Topics
January 25	9.1 9.2 9.3	Three-Dimensional Coordinate Systems Vectors Dot Product
February 1	9.3 9.4 9.5	Dot Product Cross Product Equations of Lines and Planes
February 8	9.6 9.7 10.1	Functions and Surfaces Cylindrical and Spherical Coordinates Vector Functions and Space Curves
February 15	10.2 10.3 10.4	Derivatives and Integrals of Vector Functions Arc Length and Curvature Motion in Space
February 22	10.5 11.1	Parametric Surfaces Functions of Several Variables Review
March 1	Exam #1	Chapter 9, Sections 10.1-10.4; Lecture: 11.1
March 8	11.2 11.3 11.4	Limits and Continuity Partial Derivatives Tangent Planes and Linear Approximation
March 15	No Class	Spring Vacation
March 22	11.5 11.6	The Chain Rule Directional Derivatives and Gradient
March 29	11.7 11.8	Maximum and Minimum Values Lagrange Multipliers Review
April 5	Exam #2	Sections 10.5, 11.1- 11.6; Lecture: 11.8
April 12	12.1 12.2 12.3	Double Integrals over Rectangles Iterated Integrals Double Integrals over General Regions
April 19	12.4 12.5 12.6	Double Integrals in Polar Coordinates Applications of Double Integrals Surface Area
April 26	12.7 12.8 12.9	Triple Integrals Triple Integrals in Cylindrical and Spherical Coordinates Change of Variables in Multiple Integrals
May 3	...	Review.
May 10	Final	Comprehensive.

This page is at http://faculty.roosevelt.edu/jjohnson/Spring2005/M233S05.htm and was last revised April 19, 2005