A review of algebraic manipulation. This is a collection of drills in algebraic manipulation. The most important tool learned in high-school.

This is one example of an “epsilon-delta proof” for the existence of a limit. It is typical of what one might find in an introductory course in calculus.

This is a collection of pdf documents which contain problem sets, and mathematical instruction in various areas. Some solutions and answers are provided. The documents will be updated and more documents will be added as time moves onwards. I am also working on a book about fundamentals and I might post some chapters here.

These notes are a summary of (and in some cases, a supplement to) a sequence of three talks I delivered to the third year Mechanical Engineering class in summer ‘09. Similar material will be covered in upcoming talks for first year students in Mechanical and Mechatronics.

This is a description and derivation of the Frenet-Serret formulae which determine a co-ordinate frame which follows a trajectory.

A collection of drill type problems intended for review of basic work with inequalities. Great for practice!

This is a collection of problems which test one’s understanding of convergence of series. Great for practice!

ihatemath.ca : tutoring in mathematics & engineering

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Send an email to brian@ihatemath.ca or brian.ihatemath@yahoo.ca

Machine-generated problem-sets. Great for practice in graphing of trigonometric, square-root, parabolic, and hyperbolic functions!

That a sequence is eventually bounded by arbitrary epsilon is a crucial question. It entails that the sequence converges to zero. Here’s a problem.

A really good exercise is in proving of the equivalences in the table forwards and backwards. The latter exercises complex analysis too!!

This is a collection of problems which test one’s understanding of convergence of series. Great for practice!

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These notes summarize a talk I gave to the first year Mechanical class in Summer 2012. Solutions to most problems are provided. The doc will be updated further.