Physics makes incredible use of a wide variety of tools and skills and ideas from various different branches of mathematics. This means that you'll need a solid background in math to fully understand and apply the physics, but it also means that learning the physics will often make the math suddenly seem much more meaningful!
I know that for many of you, it has been a year or several years or perhaps many years since you last took a math class, and in many cases maybe you didn't understand it as well as you would've liked in the first place. Here I have assembled a series of worksheets focusing on specific math concepts that will be especially important as you progress through the Physics 7 series. When possible, the practice problems put the math in the context of the physics you'll actually be using it for.
What I'd recommend doing with these: Read through the problems and try one or two from each section. If the problems in a given section seem extremely easy, don't worry about that section. If you struggle with them, then that's a topic you should study and practice! You are welcome to bring these worksheets to my office hours or any math drop-in tutoring if you would like help with them. Don't wait until it's too late; try these worksheets before the relevant skill becomes necessary in your physics class, so that you'll already be comfortable with it when the time comes.
Topic | Worksheet | Solutions |
---|---|---|
exponents & logarithms | Exp & Log Worksheet | |
units of measurement & scientific notation | Units Worksheet | Units Solutions |
solving equations & systems of equations | Equations Worksheet | |
calculus: derivatives | Derivatives Worksheet | |
calculus: integrals | Integrals Worksheet | Integrals Solutions |
geometry: angles, lines, triangles | Geometry Worksheet | |
trigonometry: right triangles, unit circle | Trigonometry Worksheet | Trigonometry Solutions |
introduction to vectors | Vectors Worksheet | Vectors Solutions |