Calculus Connections (Prentice Hall Series in Mathematics for Middle School Teachers)

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9780131449237: Calculus Connections (Prentice Hall Series in Mathematics for Middle School Teachers)

With challenging new standards-based middle school mathematics curricula now in place, future teachers need college-level mathematics instruction that better prepares them for their professional careers.  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 taught in today’s middle schools. Examines the unique needs of future teachers in comparison to general calculus books. Initiates new topics with engaging discussion rather than the standard formula-proof-example approach. Stresses the interplay between geometry and calculus, and demonstrates the essential power of calculus for computing areas, lengths, surface areas, and volumes. For current or future mathematics teachers, or anyone interested in learning more about calculus.

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Book Description Pearson, 2006. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Chapter 1: Sequences and Series Sequences. Series. Chapter 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: Integration Indefinite 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. Appendix Index. Bookseller Inventory # ABE_book_new_0131449230

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