IBMathsDP3. Geometry & Trigonometry

3. Geometry & Trigonometry (DP IB Maths: AI HL)

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3.1 Geometry Toolkit

  1. 3.1.1 Coordinate Geometry
  2. 3.1.2 Radian Measure
  3. 3.1.3 Arcs & Sectors

3.2 Geometry of 3D Shapes

  1. 3.2.1 3D Coordinate Geometry
  2. 3.2.2 Volume & Surface Area

3.3 Trigonometry

  1. 3.3.1 Pythagoras & Right-Angled Trigonometry
  2. 3.3.2 Non Right-Angled Trigonometry
  3. 3.3.3 Applications of Trigonometry & Pythagoras

3.4 Further Trigonometry

  1. 3.4.1 The Unit Circle
  2. 3.4.2 Simple Identities
  3. 3.4.3 Solving Trigonometric Equations

3.5 Voronoi Diagrams

  1. 3.5.1 Voronoi Diagrams
  2. 3.5.2 Toxic Waste Dump Problem

3.6 Matrix Transformations

  1. 3.6.1 Matrix Transformations
  2. 3.6.2 Determinant of a Transformation Matrix

3.7 Vector Properties

  1. 3.7.1 Introduction to Vectors
  2. 3.7.2 Position & Displacement Vectors
  3. 3.7.3 Magnitude of a Vector
  4. 3.7.4 The Scalar Product
  5. 3.7.5 The Vector Product
  6. 3.7.6 Components of Vectors
  7. 3.7.7 Geometric Proof with Vectors

3.8 Vector Equations of Lines

  1. 3.8.1 Vector Equations of Lines
  2. 3.8.2 Shortest Distances with Lines

3.9 Modelling with Vectors

  1. 3.9.1 Kinematics with Vectors
  2. 3.9.2 Constant & Variable Velocity

3.10 Graph Theory

  1. 3.10.1 Introduction to Graph Theory
  2. 3.10.2 Walks & Adjacency Matrices
  3. 3.10.3 Minimum Spanning Trees
  4. 3.10.4 Chinese Postman Problem
  5. 3.10.5 Travelling Salesman Problem
  6. 3.10.6 Bounds for Travelling Salesman Problem

3.1 Geometry Toolkit

  1. Exam Questions

3.2 Geometry of 3D Shapes

  1. Exam Questions

3.3 Trigonometry

  1. Exam Questions

3.4 Further Trigonometry

  1. Exam Questions

3.5 Voronoi Diagrams

  1. Exam Questions

3.6 Matrix Transformations

  1. Exam Questions

3.7 Vector Properties

  1. Exam Questions

3.8 Vector Equations of Lines

  1. Exam Questions

3.9 Modelling with Vectors

  1. Exam Questions

3.10 Graph Theory

  1. Exam Questions