Overview
The authors of this volume have assembled a collection of projects students will find lively and stimulating. They can be used by the average calculus student, and are solvable with guidance and instruction from the teacher.
Some of the projects cover a variety of calculus topics for the first year of a typical single-variable calculus program, while others are applicable to multivariable calculus. The subject matter is as diverse as the prerequisites. Some of the material involves concepts you would expect to find in any calculus course, while other material will lead the student to examine an interesting application or theory that is tangential to the core material. Several projects involve maxima and minima applications, others grapple with concepts such as surfaces and Riemann sums, and still others encourage expansions on the work of Newton and Archimedes.
Students will learn how to use calculus to solve real problems. How to use the library to ding mathematical sources, how to read and write mathematical material, and how to cooperate with their peers in the solution of a difficult problem. Learning that they can solve what at first seems an inscrutable mathematical problem can only increase their mathematical confidence.
Each project is self-contained, including a brief statement of the problem for the students and more thorough information for the teacher. The detailed information provided by the authors will lessen the amount of time such a project might require of the teacher.
Synopsis
The authors of this volume have assembled a collection of projects students will find lively and stimulating. They can be used by the average calculus student, and are solvable with guidance and instruction from the teacher.
Some of the projects cover a variety of calculus topics for the first year of a typical single-variable calculus program, while others are applicable to multivariable calculus. The subject matter is as diverse as the prerequisites. Some of the material involves concepts you would expect to find in any calculus course, while other material will lead the student to examine an interesting application or theory that is tangential to the core material. Several projects involve maxima and minima applications, others grapple with concepts such as surfaces and Riemann sums, and still others encourage expansions on the work of Newton and Archimedes.
Students will learn how to use calculus to solve real problems. How to use the library to ding mathematical sources, how to read and write mathematical material, and how to cooperate with their peers in the solution of a difficult problem. Learning that they can solve what at first seems an inscrutable mathematical problem can only increase their mathematical confidence.
Each project is self-contained, including a brief statement of the problem for the students and more thorough information for the teacher. The detailed information provided by the authors will lessen the amount of time such a project might require of the teacher.