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Numbers and Algebra

AASL and AAHL

  • Arithmetic and Geometric Sequences & Series
    ..Exponents and Logarithms 
  • Radicals and Rational Exponents 
  • Binomial Expansions 

   . Proof by Mathematical Induction (AAHL only) 

  • Complex Numbers (AAHL only) 
  • Solving Equations (Real and Complex)
     



Notes and Practice Worksheets

Files coming soon.

Functions

Domain , Range and Sketching

  

  • Concept of a Function ,Domain and Range 
  • Composite Functions ,Inverse Functions 
  • Function Transformations,Polynomial Functions 
  • Rational Functions 
  • Exponential and Logarithmic Functions 
  • Piece-wise Functions,Absolute Value Functions 
  • Even and Odd Functions,Asymptotic Behaviour and Limits (Introductory)


Notes and Practice Worksheet

Files coming soon.

Trigonometry and Geometry

  • Radian Measure,Trigonometric Functions 
  • Graphs of Trigonometric Functions 
  • Trigonometric Identities and Equations 
  • Inverse Trigonometric Functions 
  • The Sine Rule, Cosine Rule, and Area of a Triangle 
  • 3D Geometry 
  • Vectors in Two and Three Dimensions 
  • Vector Applications (including angles, projections, and geometric proofs)

Notes and Practice Worksheets

Files coming soon.

Statistics and Probability

 

  • Representation of Data 
  • Statistical Measures (mean, median, variance, standard deviation) 
  • Probability Concepts 
  • Probability Distributions,Binomial Distribution 
  • Normal Distribution 
  • The Central Limit Theorem (AAHL only) 
  • Hypothesis Testing (AAHL only)

Lecture Notes and Worksheets

Files coming soon.

Calculus

 

  • Concept of a Limit and Derivative,Rules of Differentiation 
  • Derivatives of Trigonometric, Exponential, and Logarithmic Functions 
  • Applications of Derivatives,
  • Implicit Differentiation and Related Rates (AAHL only) 
  • L’Hôpital’s Rule and Optimization Problems (AAHL only) 
  • Antiderivatives and Indefinite Integrals 
  • Definite Integrals and Area Under Curves 
  • Integration by Substitution and by Parts (AAHL only) 
  • Differential Equations and Modelling (AAHL only)

Notes and Practice Worksheets

Files coming soon.

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