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Teaching Calculus with Maple™ : A Complete Kit

Leveraging both Maple™ and Maple T.A.™, Teaching Calculus with Maple includes

lecture notes, student worksheets, Maple demonstrations, Maple T.A. homework, andmore  –  everything you need to teach Calculus 1 and Calculus 2.

These complete courses are the result of a 5-year research project at the University of

Guelph to study the effective use of technology in mathematics education. Jack Weiner,

the lead researcher, has over 30 years experience teaching mathematics and is therecipient of multiple teaching awards. These materials have been successfully used bymultiple instructors, with class sizes ranging from 15 to 600 students. 

Contents

This product includes:

  Interactive Maple note templates for all lectures (34 lectures for each of Calculus 1and Calculus 2)

 

Annotated instructor notes with teaching points and additional Maple demonstrations

  Maple T.A. weekly homework assignments, with sample tests and solutions for thosewho do not have Maple T.A.

  Additional homework problems from Stewart’s Calculus 

  Sample midterms and final exam

TopicsCalculus 1

  Trigonometry, including the

compound angle formulas

 

Inequalities and absolute values

  Limits and continuity using rigorousdefinitions

  The derivative and variousapplications

  Rolle's Theorem and the Mean ValueTheorem for Derivatives

  The differential

  Anti-differentiation

 

Definite integral with application to

area problems

  Fundamental Theorem of Calculus

  Logarithmic and exponential

functions

  Mean Value Theorem for Integrals

Calculus 2

  Inverse functions

 

Inverse trigonometric functions  Hyperbolic functions

  L'Hôpital's Rule

  Techniques of integration

  Applications of integration tovolumes and arc length

  Parametric equations

  Polar coordinates

  Taylor and MacLaurin series

 

Functions of two or more variables

  Partial derivatives