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Induction.
- Summation
- Divisibility
- Inequality
- Past HSC Questions.
Sums and series.
- Arithmetic
- Geometric
- Sum of Series
- Divisibility
- Financial applications of Series
Functions.
- Exponential Functions
- Differentiating Trigonometric Functions
- Geometry of the First Derivative
- The Second Derivative & Curve Sketching
- Applications of Max & Min Values
Vectors.
- Geometric Vectors
- Position Vector
- The Scalar Product
- Vector Projection
- Using Vectors in Geometry
- Questions
Calculus
- Fundamental Theorems of Calculus
- Integration of Exp
- Reciprocal & Trig
Functions
- Functions
- Even & Odd Functions
- Area Bounded by Curves
- Area Between Two Graphs
- Calculating Definite Integrals
- Physical Applications of Calculus
Motion
- 2-dimensional motion
Trigonometry
- Using Compound and Double Angle Formulas
- Derivatives & Integrals of Inverse Trig Functions
- Further Trigonometric
Integration and differentiation
- Integrals
- Volumes of Solids of Revolution
- Differential Equations
Financial
- Financial Applications of Series
- Continuous Random Variables Part I
- Continuous Random Variables Part II
Normal and binomial distribtuon
- The Normal Distribution
- The Binomial Distribution
Master.
Sample Module Exams
- Vector Calculus
Sample HSC a & trial exams
- Sample HSC Exam Paper
Edzion 