Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Math doesn’t have to be daunting, especially when your iPhone (or iPad) can do the heavy lifting. Tucked away inside iOS is a full-featured scientific calculator, ready to help you solve complex ...

Learning to play a musical instrument can protect your brain from aging, building up a defense against cognitive decline that lasts a lifetime. Researchers from Canada and China discovered older ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

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In circular functions like sine and cosine, equations can have multiple solutions within a specific interval. If all possible values are considered, these functions can have infinitely many solutions.

Exponential and logarithmic functions are mathematical concepts with wide-ranging applications. Exponential functions are commonly used to model phenomena such as population growth, the spread of ...

Genes contain instructions for making proteins, and a central dogma of biology is that this information flows from DNA to RNA to proteins. But only two percent of the human genome actually encodes ...

While payroll deals with compensating employees, human resources takes care of employee relations. Although the two departments have distinct roles in an organization, they also share functions that ...

Before reading this guide, you may find it helpful to read the guide on graphs from Module 7 (M7) and the guide on indices from Module 8 (M8). In Module 7 (M7) Graphs, you learned that simultaneous ...