Mathematics: Core 3

Mathematics: Core 3

1. Algebra and Functions

   • Functions: Domain and Range
   • Composition of Functions
   • Inverse Functions
   • Composition of Transformations
   • The Modulus Function
   • The Functions e(x) and ln x
   • Exponential Growth and Decay

2. Trigonometry

   • Inverse Trigonemetric Funcions
   • Reciprocal Trigonometric Functions
   • Identities Involving the Reciprocal Function
   • Addition and Double Angle Formula
   • Expressions for a Cos 0 + b Sin O

3. Differentiation and Intergration

   • Differentiation of e(x) and ln x
   • The Chain Rule
   • The Product and Quotient Rules
   • Finding the Derivative when x=f(y)
   • Connected Rates of Change
   • Integration Using a Linear Substitution
   • Integration of e(x) and 1/x
   • Volumes of Revolution

4. Numerical Methods

   • Location of Roots
   • Approximate Solutions of Equations
   • Numerical Integration Using Simpson's Rule