Teaching Calculus with Maple - Calculus Curriculum, Calculus Course - Maplesoft



Teaching Calculus with Maple: A Complete Kit




Everything you need to teach Calculus 1 and Calculus 2!

Leveraging both Maple and Maple T.A., Teaching Calculus with Maple includes lecture notes, student worksheets, Maple demonstrations, Maple T.A. homework, and more. Developed at the University of Guelph under the leadership of an award-winning teacher and field-tested in classes with hundreds of students, Teaching Calculus with Maple makes it easy to provide students with a rich, effective learning environment. 

Highlights:

  • Engage your students with highly interactive lectures
  • Reinforce concepts with “what-if” explorations built right into the class notes
  • Consolidate learning with carefully constructed homework questions that include hints and feedback for the students, all algorithmically-generated and graded by Maple T.A.
  • Easily modify lecture notes to customize the material to your specific needs and preferences


Topics

Calculus 1

  • Trigonometry, including the compound angle formulas
  • Inequalities and absolute values
  • Limits and continuity using rigorous definitions
  • The derivative and various applications
  • Rolle's Theorem and the Mean Value Theorem 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 to volumes and arc length
  • Parametric equations
  • Polar coordinates
  • Taylor and MacLaurin series
  • Functions of two or more variables
  • Partial derivatives

About this Content

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 the recipient of multiple teaching awards. These materials have been successfully used by multiple instructors, with class sizes ranging from 15 to 600 students.


Looking for more?

Teaching styles differ, and there are many ways to bring Maple to your classroom.
For even more classroom resources, visit the Teacher Resource Center.



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This free package includes:

  • Interactive Maple note templates for all lectures (34 lectures for each of Calculus 1 and Calculus 2)
  • Annotated instructor notes with teaching points and additional Maple demonstrations
  • Maple T.A. weekly homework assignments, with sample tests and solutions for those who do not have Maple T.A.
  • Additional homework problems from Stewart’s Calculus
  • Sample midterms and final exam

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