Math 231-01                       Calculus I                 Fall 2007
Instructor	Office	Phone	Hours
Jimmie Lee Johnson	Auditorium Building, Room 416	(312) 341-3552 (Voice Mail)	MWF 9:00-9:30am often in the classroom. M 4:00-5:30pm and by appointment
Class Time: MWF 9:30am-10:50am Aud Room 401
	E-mail:  jjohnson@roosevelt.edu Web Page:  http://faculty.roosevelt.edu/jjohnson/

Text: Calculus Concepts and Contexts, Single Variable, by James Stewart. Brooks/Cole 3rd ed. 2005.

Prerequisite: Grades of C or better in MATH 121 College Algebra and MATH 122 Precalculus, or placement exam.

Class will consist of 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 may be asked to put problems on the chalkboard, including the presentation of your own work. 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!

Learning Objectives During and at the end of the semester, the successful student is expected to be able to perform the following:
1. Use a graphing calculator and Maple software to graph functions.
2. Find the velocity and acceleration of a position function.
3. Use the derivative and second derivative to find information about the shape of a function.
4. Use the product, quotient, and chain rules to calculate derivatives of functions.
5. Find any local and absolute extrema of a function.
6. Use L'Hospital's Rule to determine the limit of basic indeterminate forms.
7. Use Newton's Method to approximate the roots of equations.
8. Determine antiderivatives of various functions.
Here function refers to combinations of polynomials, exponentials, logarithms, sines, cosines, tangents, and their inverses.

Quizzes will be given each Friday beginning September 7th.. The quizzes will be closed book and will count for 10% of your grade.   Use of a graphing calculator and Maple is usually allowed. The two lowest quiz grades will be dropped. No make-ups; a missed quiz will count as one of the dropped grades (up to the maximum of two).

Maple Problems will count for 15% of your grade. Late work may be downgraded, particularly if more than a week late. Some class time will be devoted to the basics of this mathematical software, which is available in our computer labs.

Writing Reflections This is an essay of several paragraphs explaining a technique for problem solving using concepts from the class. It will also be used for assessment of your facility in writing about mathematical ideas. It is due on Monday, November 5th. The score will be used in your Quiz average as extra credit or as a negative amount, if not presented in a timely manner.

Homework will be collected each Monday, 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, particularly if more than a week late.

Exams will be given on Monday, October 8th, and Monday, November 12th. These will be closed book, but may require the use of a TI-83/84 graphing calculator or of Maple. Their average will count for 30% of your grade. No make-ups except for excused absences with advanced notice. The score on the next exam will be used for both.

Final Examination: will be given on Friday December 14th, closed book and comprehensive. Some problems may require the use of a TI-83/84 graphing calculator or Maple It will count for 30% of your grade.

Grades: Regulations covering grades (especially I and W) are on pages 254-255 of the 2006-2008 Undergraduate Catalog or on pages 203-204 of the 2005-2007 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 advance notice. The last day to drop a class (with a grade of " W") is Friday, November 16th, and the drop form must be submitted to the Registrar's Office. Anyone registered after that must be graded solely on academic performance.

Syllabus
(The basic definitions and properties of polynomial, trigonometric, exponential, and logarithmic functions are assumed from MATH 231. )

Date	Sections	Topics
September 5, 7	App. A App. B 1.1	Intervals, Inequalities, Absolute Value Coordinate Geometry 4 Ways to Represent a Function
September 10, 12, 13	App. C 1.2 1.3 1.4	Trigonometric Functions Mathematical Models. New Functions from Old Functions Graphing Calculators and Computers
September 17, 19, 21	1.5 1.6 1.7 App. C	Exponential Functions Inverse Functions and Logarithms Parametric Curves Inverse Trigonometric Functions
September 24, 26, 28	2.1 2.2 2.3	Tangent and Velocity Problems Limit of a Functions Calculating Limits.
October 1, 3, 5	2.4 2.5	Continuity Limits involving infinity. Review
M October 8	Exam #1	App. A, B, C, Chapter 1, Sections 2.1-2.3
October 10, 12	2.6 2.7	Tangents, Velocities, Rates of Change. Derivatives.
October 15, 17, 19	2.8 2.9 2.10	The Derivative as a Function. Linear Approximations. What F' says about F.
October 22, 24, 26	3.1 3.2 3.4	Derivatives of Polynomial and Exponential Functions. Product and Quotient Rules Derivatives of Trigonometric Functions.
October 29, 31, November 2	3.5 3.6 3.7	Chain Rule Implicit Differentiation Derivatives of Logarithmic Functions
November 5, 7 9	3.8 4.1	Linear Approximations and Differentials Related Rates Review.
M November 12	Exam #2	Chapter 2, Sections 3.1-3.7.
November 14, 16	4.2	Maximum and Minimum Values.
November 19	4.3 4.4	Derivatives and the Shapes of Curves Graphing with Calculus and Calculators (and Computers).
W F November 21, 23	No Class	Thanksgiving Vacation.
November 26, 28, 30	4.5 4.6	L'Hospital's Rule Optimization Problems.
December 3, 5, 7	4.8 4.9	Newton's Method Antiderivatives
December 10, 12	4.9	Antiderivatives Review
F December 14	Final	Comprehensive.

This page is at http://faculty.roosevelt.edu/jjohnson/Fall2007/M231F07.HTM  and was last revised September 4, 2007