Mathematics AI HL

Topic 3 - Geometry and Trigonometry

Basic Trigonometry

  • Right Angled Triangles
  • Basic Trig Graphs
  • Area Formula
  • Sine Rule
  • Cosine Rule
Right Angled Triangles
Basic Trig Graphs
Area Formula
Sine Rule
Cosine Rule

Basic Shape

  • Area and Surface Area
  • Volume
Area and Surface Area
Volume

Radian and Unit Circle

  • Radian Measure
  • Unit Circle and Exact Trigonometry
Radian Measure
Unit Circle and Exact Trigonometry

Trigonometric Graphs

  • Transformations
  • Modelling
Transformations
Modelling

Vector Geometry

  • Key Terms
  • Geometry
  • Displacement
Key Terms
Geometry
Displacement

Vector Lines

  • 3d Vectors
  • Angles between Vectors
  • Line Equations in 3d
  • Intersecting Lines
3d Vectors
Angles between Vectors
Line Equations in 3d
Intersecting Lines

The Cross Product

  • Cross product definiton
  • Area Applications
Cross product definiton
Area Applications

Graph Theory 1

  • Informal Definitions
  • Formal Definitions
  • Routes
  • Weighted Graphs
  • Trees and Spanning
  • Chinese Postman
Informal Definitions
Formal Definitions
Routes
Weighted Graphs
Trees and Spanning
Chinese Postman

Graph Theory 2

  • Eulerian Graphs
  • Hamilton Graphs
  • Travelling Salesman
Eulerian Graphs
Hamilton Graphs
Travelling Salesman