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Full Description
For one-semester undergraduate courses in calculus for the middle grades.With challenging new standards-based middle school mathematics curricula now in place, future teachers need college-level mathematics courses that better prepare them for their professional teaching careers. This text addresses the importance of learning calculus in preparation for the teaching of middle school mathematics, focusing on concepts and applications to illuminate the connections that exist between college-level calculus and the mathematics curricula taught in today's middle schools.Other titles in the Prentice Hall Connections in Mathematics Courses for Teachers include: 1. Geometry Connections: Mathematics for Middle School Teachers2. Algebra Connections: Mathematics for Middle School Teachers3. Data and Probability Connections: Mathematics for Middle School Teachers 4. Calculus Connections: Mathematics for Middle School Teachers
Contents
Chapter 1Chapter 2: Functions, Limits, and Continuity Functions. Limits of Functions. Continuity.Chapter 3: Differentiation Average Rates of Change. Instantaneous Rates of Change and Slopes of Graphs. Motion and Derivatives. Rules for Derivatives. Chain Rule.Chapter 4: More on Differentiation Optimization. Curve Sketching. Exponential Change.Chapter 5: IntegrationIndefinite Integrals. Definite Integrals. Some Techniques of Integration.Chapter 6: Applications of Integration to Area Preliminary. Approximate Values for the Area of an Irregular Shape. Exact Value for the Area of an Irregular Shape. Area of a Disc from Different Points of View. Area of a Region Bounded by Two Graphs.Chapter 7: Further Applications of Integration Lengths of Curves in the Plane. Areas of Surfaces of Revolution. Volumes of Solids of Revolution.Answers Classroom Discussions and Practice Problems. Selected Exercises. Projects.AppendixIndex
