PURE 3
CH 1 - Algebraic METHODS
- Multiply algebraic fractions
- Divide algebraic fractions
- Add and Subtract algebriac fractions
- Convert improper fractions into partial fractions
CH 2 - Functions & graphs
- Modulus
- Range and Domain
- Composite Functions
- Inverse Functions
- Transformations
CH 3 - Trigonometric Functions
- RECIPROCAL TRIG FUNCTIONS Secant, Cosecant, Cotangent
- Graphs of Sec, Cosec and Cot
- Sec, Cosec, Cot equations and Proofs
- Trigonometric Identities
- INVERSE TRIG FUNCTIONS ArcCos, ArcSin, ArcTan
CH 4 - Trigonometric addition formulae
- Addition Formulae
- Double Angle Formulae
- Trigonometric Equations
- Rcos(Ө±α) and Rsin(Ө±α)
- Trigonometric Identities
CH 5 - Exponentials & logarithms
- Sketch Exponential graphs
- Differentiate Exponentials
- Describe and use Natural Logs
- Estimate the values of constants in non-linear models
- Use and interpret models that use exponential functions
CH 6 - DIFFERENTIATION
- Differentiate Trig Functions
- Differentiate Exponentials and Logs
- Chain, Product and Quotient Rule
CH 7 - INTEGRATION
- Reverse Chain Rule
- Trig Identities
- Complex Functions
CH 8 - NUMERICAL METHODS
- Locate Roots by considering the change of sign
- Use iteration to find an approximation of a root