PURE 4
CH 1 - PROOF BY CONTRADICTION
- Types of Numbers
- Negation Statements
- Proof by contradiction
CH 2 - PARTIAL FRACTIONS
- Partial Fractions
- Repeated Factors
- Improper Fractions
CH 3 - parametric equations
- Parametric Equations
- Using Trigonometric Identities
- Curve Sketching
CH 4 - THE BINOMIAL EXPANSION
- Expand (1+x)^n
- Expand (a+bx)^n
- Determine when an expansion is valid
- Use Partial Fractions to expand fractional expressions
CH 5 - DIFFERENTIATION
- Differentiate Parametric Equations
- Differentiate Functions IMPLICITLY
- Construct simple differential equations
- Solve problems involving Rates of Change
CH 6 - integration
- Parametric Integration
- Volume of a Revolution
- Substitution
- Integration by Parts
- Partial Fractions
- Solve Differential Equations
CH 7 - VECTORS
- Vectors in 2D
- Magnitude & Direction
- Vectors in 3D
- Position Vectors
- Equation of a Line in 3D
- Scalar Product of two vectors