teaching calculus with maple
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8/18/2019 Teaching Calculus With Maple
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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
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