Pure Mathematics-1

Topics of Pure Mathematics -1  

 Algebra and Function

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• Completing the Square
• Cubic
• Curve Sketching
• The Discriminant
• Indices
• Inequalities
• Polynomials
• Quadratics
• Simultaneous Equations
• Surds
• Transformations   

•  Coordinate Geometry

  • Coordinate Geometry
  • Straight Lines
  • Equation of a Circle

   Sequence & Series

  • Sequence & Series
  • Binomial Expansion 1

   Trigonometry

  • Trigonometry
  • Non Right-Angled Triangles
  • Trigonometric Equations
  • Trigonometric Graphs
  • Trigonometric Identities

  Exponential & Logs

  • Exponentials & Logarithms
  • Exponential & Logarithmic Graphs
  • Logarithms (or Logs)
  • Growth & Decay
  • Differentiating Exponentials & Logarithmic Functions

   Differentiation

  • Differentiation
  • Differentiation from First Principles
  • Increasing and Decreasing Functions
  • Stationary Points
  • Tangents & Normals

   Integration

  • Integration
  • Definite Integrals

  Vectors

  • Vectors
  • 2D Vectors
  • Vector Arithmetic
  • Vectors in Trigonometry
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