ISU Department of Mathematics

Gladly We Learn and Teach

Calculus II

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Title

Project Description

Sticking the tank

Volume by slices, trigonometric substitutions

The deft fly

Geometric series, mathematical induction

The number e is irrational

Geometric series, comparison test

Cockroach on an elastic tightrope

Infinite series

Planning a community

Average value, L’Hopital’s rule, techniques of integration

Designing dipsticks

Volume of solids of revolution, integration of trigonometric functions, considerable calculator work

The case of the gilded goose egg

Surface area of solid of revolution, optimization, Intermediate Value Theorem, the (unpopular) Fundamental Theorem of Calculus