What is the connection between slices of a cone and the trajectory of a football? Between the geometry of the great pyramid and the tax bracket that you might be in? Between studying the protein content of bugs and comparing internet speeds?
Understanding basic mathematical relationships is vital to many fields of study: biology, engineering, business, economics, political science and design. Strengthen your algebra, geometry and thinking skills by learning about the linear/quadratic maths behind real-world relations with the free online course “Maths for Humans: Linear and Quadratic Relations“.
Maths for Humans Course Content
This course looks at a wide spectrum of interesting, and often surprising, mathematical relationships in our everyday world. Linear and quadratic functions and their graphs allow us to make predictions, evaluate actions and test theories about many things – such as the maximal grade of railways, the trajectory of a football, the relationship between supply and demand in economics, and the difference between momentum and kinetic energy in physics.
Topics covered in the course include:
- The fundamental idea of direct proportionality;
- Examples of linear relationships in the world around us;
- How to represent these relationships algebraically and graph them geometrically in the Cartesian plane to aid in visualization;
- Quadratic relations from Apollonius to Bezier – the history, practical examples, and an interesting variety of concrete problems.
By the end of this course, you’ll have hands-on experience with a wide range of explicit examples, be familiar with a core area of pre-calculus mathematics, and be ready to go on to more advanced study of more sophisticated algebraic topics such as inverse relations and power laws.
This course is aimed at:
- Senior high school students wanting to strengthen and enrich their understanding of a core pre-calculus topic;
- New undergraduates wishing to review and consolidate their background in algebra and geometry in preparation for STEM studies;
- High school maths teachers;
- Anyone with an interest in mathematics and a curiosity about how mathematics is intertwined with the real world.
Summary of Main Course Features
- Publisher: University of New South Wales
- Educators: Norman Wildberger and Daniel Mansfield
- Starts: 27 June 2016
- Duration: 4 weeks x 3 hours per week
- Certificates available