Certificate of Achievement
has completed the following course:
Maths for Humans: Inverse Relations and Power Laws
This online course explored the mathematics of inverse relations and power laws, including a wide range of real life applications. It covered: hyperbolas and inverse relations, Zipf's law, logarithms and Mobius transformations, cubic curves, and power laws in economics, physics and biology.
4 weeks, 3 hours per week
Norman J. Wildberger
Associate Professor, School of Mathematics and Statistics
UNSW Sydney
Transcript
Learning outcomes
- Model real world phenomena with mathematics
- Explore applications of power laws to biology, economics and physics
- Engage with the interaction between the algebra and geometry of conics and cubics
- Identify key properties of inverse relations and their applications
Syllabus
- The geometry of hyperbolas and the algebra of inverse relations
- Applications of inverse relations to gases, springs and circuits
- Zipf’s law, Benford’s law and logarithms
- Rational functions, Mobius transformations, and arithmetic with matrices
- Cubic relations, their geometry and connections with Fermat’s last theorem
- Power laws and their roles in economics and biology
- More general relations appearing in physics, graph theory and geometry
Issued on 9th September 2016
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