These SmartGirl Study Notes Cover:

Algebra:

• A summary of logarithms (log graphs, laws of logarithms, natural logarithms & the number e)

• An introduction to mathematical induction

Calculus:

• A brief summary of grade 11 concepts

• The Chain Rule

• The Product Rule

• The Quotient Rule

• Implicit Differentiation

• Differentiation of Trigonometric Functions

• Higher Order Derivatives

• Stationary Points & Gradients

• The Second Derivative

• The Newton Raphson Method

• Graph Sketching

• Optimization

• Anti-Differentiation

• The Fundamental Theorem of Calculus

• Integration by Trigonometric Substitution

• Integration by Substitution

• Integration by Parts

• The ‘Switch-Around’ Method

• The Definite Integral

• Volumes of a Solid

• Length of a Curve

*These notes cover all the concepts tested in paper 1 of the grade 12 AP Math exam. They are 25 pages long & include a 'cheat sheet' summarising all of the content.