Materials for Elementary Calculus

I have gathered here materials that I have used for teaching elementary calculus.

These materials are organized for delivery of a 12-week course with 3 hours of class time per week as well as a weekly tutorial and four assignments through the term. It is a “Calculus as Toolbox” course. The course is designed to be a second course in calculus that builds on the Ontario High School calculus course.

I believe that students, particularly in large classes, benefit from a clear guide to what they are supposed to be learning. The weekly handouts served as a detailed syllabus and guide for the students. Each is a list of topics for the week, keywords they can search for to get more information and set of typical problems.

The “stretchers” are problems that allow students who have learned the week’s work already to stretch themselves with some more challenging problems.

The tutorials are examples of the general collaborative approach that I favour for elementary courses. This approach is described on my Collaborative Learning page.

In particular, each tutorial includes the solutions for the problems. Students should work for at least an hour on the problems before looking at the solutions. As an instructor, you should sever these pages when you hand out the tutorial questions. As a student, please don’t read the answer before you try to solve the problem.

Feel free to use these materials in any educational setting – learning, teaching, private study or scholarship.

• Weekly Handouts
• Tutorials
• Assignments
• Modelling Problems
• Review Questions
• Summary of Integration