Video Calculus Tutorials
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Video Tutorials in Calculus and Modeling
Dr. Brian Mortimer

brian_mortimer@carleton.ca

The intention of this tutorial series is to provide students with video lessons in the basic elements of calculus, its applications and special topics. These are the memes of calculus – a world-wide cultural practice.

The approach is to treat calculus as a toolbox for building mathematical models.

We know that a large percentage of university students have a requirement for calculus in their programs. We also know that students have many different and effective ways to learn. This series of videos will provide a resource that students can use as part of their own optimal strategy for learning.

These videos are complementary to other learning vehicles such as lectures, reading, peer discussion and lots of practice problem solving. They do not constitute a credit course on their own but may help you get credit in another situation.

A few tips. To learn a skill, you must practice. Writing your own notes will also help by forcing you to put ideas into words. It is very helpful if you try to explain what you are studying to someone else. Generations of teachers have observed that they first reached deep understanding of a discipline when they started to teach it.

The videos assume that students have competence in using school level algebra, working with functions and also know how a graph represents a function. You should already know something about trigonometric functions, logs and exponentials.

Each video has a dynamic table of contents so you can select the parts you need to watch.

Please dive in and enjoy some calculus!

Link here for a detailed list of each series

Differential Calculus includes importance of calculus and basic differential Calculus tools
Integral Calculus will include numerical integration, Fundamental Theorem and integration tools
Applications such as Newton's Method, exponential models and optimization
Special Topics such as math modelling and geometry of the trig functions


School of Mathematics and Statistics
Carleton University
Ottawa Canada