Math & Science Resources

A collection of math and science resources to help students learn. This section is similar to the Aeronautics section, but includes a focus on the math and science behind aeronautics, space and other scientific subjects.

Proficiency Tests
The purpose of these practice tests is to help build your proficiency in the area of mathematics. It is a compilation of the minimum requirements that students should know according the appropriate grade level.

Mathematical Thinking in Physics
Essays, discussions and case studies of various mathematical cases including answers to questions like "How fast is the speed of light?", and "What if an asteroid hit the earth?"

An Introduction to Tensors for Students of Physics and Engineering
Tensor analysis is the type of subject that can make even the best of students shudder. My own post-graduate instructor in the subject took away much of the fear by speaking of an implicit rhythm in the peculiar notation traditionally used, and helped us to see how this rhythm plays its way throughout the various formalisms. Prior to taking that class, I had spent many years “playing” on my own with tensors. I found the going to be tremendously difficult but was able, over time, to back out some physical and geometrical considerations that helped to make the subject a little more transparent. Today, it is sometimes hard not to think in terms of tensors and their associated concepts. This article, prompted and greatly enhanced by Marlos Jacob, whom I’ve met only by e-mail, is an attempt to record those early notions concerning tensors. It is intended to serve as a bridge from the point where most undergraduate students “leave off” in their studies of mathematics to the place where most texts on tensor analysis begin. A basic knowledge of vectors, matrices, and physics is assumed. A semi-intuitive approach to those notions underlying tensor analysis is given via scalars, vectors, dyads, triads, and higher vector products. The reader must be prepared to do some mathematics and to think. For those students who wish to go beyond this humble start, I can only recommend my professor’s wisdom: find the rhythm in the mathematics and you will fare pretty well.

Aeronauts 2000
While following the adventures of two curious teens, BJ and Pete, students will have a chance to work on, improve, and enhance their math and science skills through practical application.