The Open University: MathsChoices

The Open University: distance learning in the UK

Faculty of Science, Technology, Engineering & Mathematics

MathsChoices: the choices available to study Mathematics by distance learning.

To understand much about modern science requires a reasonable level of mathematics. Without some appreciation of the mathematics, the explanations are incomprehensible. The difficulty for many of us is that we dropped sciences and mathematics because they were too hard to understand at the speed required to complete a curriculum. I don’t doubt that, given enough time and good materials, an educated person could eventually understand enough. But if that time were more time than required to complete a curriculum, then it is probably a non-starter.

How to improve your mathematics

MIT: Big Picture of Calculus

MIT Open Courseware

Big Picture of Calculus

“Calculus is about change. One function tells how quickly another function is changing. Professor Strang of MIT shows how calculus applies to ordinary life situations.”

Follow the links to find textbook and study guide.

Calculus is required to find any properties of an orbit, for example where an object will be at a given time, or how fast it is travelling at a given position.

PhET Interactive Simulations for Science and Math

University of Colorado

PhET Interactive Simulations

Founded in 2002 by Nobel Laureate Carl Wieman.

The simulations are written in Java, Flash or HTML5, and can be run online or downloaded to your computer. All simulations are open source.

Gravity and Orbits

“Move the sun, earth, moon and space station to see how it affects their gravitational forces and orbital paths. Visualize the sizes and distances between different heavenly bodies, and turn off gravity to see what would happen without it!”

Calculus Grapher

This simulation makes it easy to understand the relationship between derivative and integral, for example in the case of distance, speed and acceleration.

Equation Grapher

This one shows what happens when you change one of the the parameters of an equation.