Web page: http://www.math.temple.edu/~ludwick/spring99

Text:  Calculus, one and several variables, 7^th edition (Salas and Hille, revised by Garret J. Etgen)

Prerequisites:
Math 74 with a grade of C or better, or two years of high school algebra and one year of trigonometry.

Syllabus:

Chapter 1, Introduction
 This chapter is mostly a review of precalculus material. Students should read the entire chapter. In class we will cover only the following sections:

Section 3	Inequalities
Section 5	Functions
Section 7	Combinations of Functions
Section 8	A Note on Mathematical Proof; Mathematical Induction

Chapter 2, Limits and Continuity Section 1 The Idea of Limits Section 2 Definition of Limit Section 3 Some Limit Theorems Section 4 Continuity Section 5 The Pinching Theorem; Trigonometric Limits Section 6 Two Basic Theorems

Chapter 3, Differentiation Section 1 The Derivative Section 2 Some Differentiation Formulas Section 3 The d/dx notation; Derivatives of higher order Section 4 The Derivative as a Rate of Change Section 5 The Chain Rule Section 6 Differentiating the Trigonometric Functions Section 7 Implicit Differentiation; Rational Powers Section 8 Rates of Change Per Unit Time Section 9 Differentials; Newton-Raphson Approximation

Chapter 4, The Mean-Value Theorem and Applications. Section 1 The Mean-Value Theorem Section 2 Increasing and Decreasing Functions Section 3 Local Extreme Values Section 4 Endpoint and Absolute Extreme Values Section 5 Some Max-Min Problems Section 6 Concavity and Points of Inflection Section 7 Vertical and Horizontal Asumptotes; Vertical Tangents and Cusps Section 8 Some Curve Sketching

Chapter 5, Integration Section 1 An Area Problem; A Speed-Distance Problem Section 2 The Definite Integral of a Continuous Function Section 3 The Function F(x) = int(a..x, f(t)dt) Section 4 The Fundamental Theorem of Integral Calculus Section 5 Some Area Problems Section 6 Indefinite Integrals

Grading:
    Your semester grade will be determined by five tests (one at the end of each chapter) and a comprehensive final exam. Each chapter test will be worth 150 points (15% of your semester grade), and the final exam will be worth 250 points (25%). Test dates will be announced in class at least one week ahead of time.

Attendance:
    You are expected to attend every class, if possible. Attendance will not be graded; however, to succeed in this course you will need to attend class regularly. If you must miss class on a test date, then let me know beforehand. To be excused from a test (so that it will not affect your grade), you will need to provide me with some sort of written proof for your excuse -- for example: a note from your doctor, a copy of the car mechanic's bill, etc. Make-up tests will not be given.

Homework:
    Minimal homework assignments will be given for each section of the text. This homework will not be collected or graded; you will be trusted to complete (at least) the minimal assignment on your own. At the beginning of each class, time will be taken to discuss the homework from the previous class.