Geometry

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Course Date: Anytime (self-paced)

Price: free

Course Summary

We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.

Syllabus

  • Introduction to Euclidean geometry
  • Angles and intersecting lines
  • Congruence
  • Similarity
  • Right triangles and trigonometry
  • Perimeter, area, and volume
  • Circles
  • Special properties and parts of triangles
  • Quadrilaterals
  • Transformations
  • Analytic geometry
  • Geometric constructions
  • Worked examples

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