M221 - Calculus I Course Information

Text Typically Used:	Calculus and Its Applications by Goldstein, Lay and Schneider, 11th Edition Prentice Hall ISBN: 0-13-191963-6 NOTE: A TI graphing calculator, TI-82, TI-83, TI-84, or TI-86 (Plus or regular), is required.
Final Exam	Sample M221 Final Exam (requires the free Acrobat Reader software installed)

Sections and Topics Typically Covered:
1.1	The Slope of the Straight Line	4.1	Exponential Functions
1.2	The Slope of a Curve at a Point	4.2	The Exponential Function ex
1.3	The Derivative	4.3	Differentiation of Exponential Functions
1.4	Limits and the Derivative	4.4	The Natural Logarithm Function
1.5	Differentiablility and Continuity	4.5	The Derivative of ln x
1.6	Some Rules of Differentiation	4.6	Properties of the Natural Logarithm Function
1.7	More About Derivatives	5.1	Exponential Growth and Decay
1.8	The Derivative as a Rate of Change	6.1	Antidifferentiation
2.1	Describing Graphs of Functions	6.2	Areas and Rienman Sums
2.2	The First and Second Derivative Rules	6.3	Definite Integrals and the Fundamental Theorem
2.3	Curve Sketching	6.4	Areas in the xy-Plane
2.4	Curve Sketching (conclusion)
2.5	Optimization Problems
2.7	Applications of Calculus to Business & Economics
3.1	The Product and Quotient Rules
3.2	The Chain Rule and the General Power Rule
3.3	Implicit Differentiation

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