Transport Math

In this series of short lectures I cover the key points in mathematical techniques useful for solving transport problems (or indeed many problems in engineering). These are designed as a "reminder" tool, as the techniques would have been covered in your various math classes and text books. Math is easy to forget, however, and thus such a reminder is likely to be very useful, particularly when learning transport: if you've got the math down, the physics of transport is a lot easier to follow! While many topics are included, I've also left off some rather important areas such as systems of linear equations, optimization, and advanced techniques such as index notation (-very- useful in fluid mechanics, however this material is also covered elsewhere on the website). The primary focus is on the calculus of ordinary and partial differential equations, which is often the material students find most elusive.

Most of this material is drawn from the contents of your calculus and differential equations classes. Some is drawn from your Numerical and Statistical Analysis course, some from Transport I (e.g., scaling and self-similar solutions) and some we will be going over in Transport II (primarily separation of variables and Monte Carlo calculations). Thus, if any of this material isn't clear - don't forget to ask about it in class!

Transport Math Notes

A PDF file of the notes is given here.

Video Narrations