SSCE Mathematics Advanced topics to explore
Absolute value functions
Mathematics Advanced HSC
Adding and subtracting algebraic fractions
Mathematics Advanced HSC
Adding and subtracting surds
Mathematics Advanced HSC
Algebraic fractions
Mathematics Advanced HSC
Angle properties of triangles
Mathematics Advanced HSC
Angle review
Mathematics Advanced HSC
Angles of any magnitude
Mathematics Advanced HSC
Angles of elevation and depression
Mathematics Advanced HSC
Applications of the exponential function
Mathematics Advanced HSC
Applications of trigonometric functions
Mathematics Advanced HSC
Approximate methods of integration – Simpson’s rule
Mathematics Advanced HSC
Approximate methods of integration – trapezoidal rule
Mathematics Advanced HSC
Approximations
Mathematics Advanced HSC
Approximations when x is small
Mathematics Advanced HSC
Arc length and sector area of a circle
Mathematics Advanced HSC
Area between two curves
Mathematics Advanced HSC
Area bounded by the y-axis
Mathematics Advanced HSC
Area formulae
Mathematics Advanced HSC
Area of a triangle
Mathematics Advanced HSC
Area under a curve
Mathematics Advanced HSC
Arithmetic series
Mathematics Advanced HSC
Average value of a function
Mathematics Advanced HSC
Basic polynomials
Mathematics Advanced HSC
Circles
Mathematics Advanced HSC
Completing the square
Mathematics Advanced HSC
Completing the square for non-monic equations
Mathematics Advanced HSC
Compound interest applications
Mathematics Advanced HSC
Conditions for differentiability
Mathematics Advanced HSC
Congruent triangles
Mathematics Advanced HSC
Continuity and gradients of tangents
Mathematics Advanced HSC
Coordinate methods in geometry
Mathematics Advanced HSC
Dependent events
Mathematics Advanced HSC
Derivatives of trigonometric functions
Mathematics Advanced HSC
Direction and bearing
Mathematics Advanced HSC
Equation of a straight line
Mathematics Advanced HSC
Equations reducible to quadratics
Mathematics Advanced HSC
Exact values of trigonometric ratios
Mathematics Advanced HSC
Exponential functions
Mathematics Advanced HSC
Exponential growth and decay
Mathematics Advanced HSC
Factorising by grouping in pairs
Mathematics Advanced HSC
Factorising non-monic trinomials
Mathematics Advanced HSC
Factorising quadratic trinomials
Mathematics Advanced HSC
Factorising using the difference of two squares
Mathematics Advanced HSC
Finding the derivative from first principles
Mathematics Advanced HSC
Finite geometric series
Mathematics Advanced HSC
Finite sample spaces
Mathematics Advanced HSC
Functions and relations
Mathematics Advanced HSC
Further applications of series
Mathematics Advanced HSC
Further examples involving discriminants
Mathematics Advanced HSC
Further locus
Mathematics Advanced HSC
General quadratic equations
Mathematics Advanced HSC
Gradient as a rate of change
Mathematics Advanced HSC
Gradient of a curve at a point
Mathematics Advanced HSC
Gradient of a straight line
Mathematics Advanced HSC
Graphical solution of equations
Mathematics Advanced HSC
Graphs of trigonometric functions
Mathematics Advanced HSC
Harder algebraic fractions
Mathematics Advanced HSC
Harder intercept properties of parallel lines
Mathematics Advanced HSC
Identity of two quadratic expressions
Mathematics Advanced HSC
Indefinite integrals
Mathematics Advanced HSC
Independent events
Mathematics Advanced HSC
Index laws with fractional indices
Mathematics Advanced HSC
Index laws with integers as indices
Mathematics Advanced HSC
Infinite geometric series
Mathematics Advanced HSC
Integrating the exponential function
Mathematics Advanced HSC
Intercept properties of parallel lines
Mathematics Advanced HSC
Intersection of two lines
Mathematics Advanced HSC
Introduction to probability
Mathematics Advanced HSC
Limit and continuity
Mathematics Advanced HSC
Linear equations in one variable
Mathematics Advanced HSC
Linear equations involving fractions
Mathematics Advanced HSC
Locus
Mathematics Advanced HSC
Logarithms
Mathematics Advanced HSC
Midpoint of an interval and distance between two points
Mathematics Advanced HSC
Mixed factorisations
Mathematics Advanced HSC
More areas
Mathematics Advanced HSC
More derivatives from first principles
Mathematics Advanced HSC
More trigonometric exact values
Mathematics Advanced HSC
Motion of a particle in a straight line
Mathematics Advanced HSC
Non-linear inequalities
Mathematics Advanced HSC
Other examples of motion
Mathematics Advanced HSC
Parabolas and discriminants
Mathematics Advanced HSC
Parallel lines
Mathematics Advanced HSC
Perpendicular distance of a point from a line
Mathematics Advanced HSC
Primitive functions
Mathematics Advanced HSC
Primitives of trigonometric functions
Mathematics Advanced HSC
Problem solving with derivatives
Mathematics Advanced HSC
Pythagoras’ theorem
Mathematics Advanced HSC
Quadratic equations
Mathematics Advanced HSC
Quadratic equations with non-rational solutions
Mathematics Advanced HSC
Quadratic equations without a constant term
Mathematics Advanced HSC
Quadratic equations without a linear term
Mathematics Advanced HSC
Quadratic functions
Mathematics Advanced HSC
Quadrilaterals and polygons
Mathematics Advanced HSC
Radian measure of an angle
Mathematics Advanced HSC
Rationalising denominators
Mathematics Advanced HSC
Real numbers and surds
Mathematics Advanced HSC
Regions and inequalities
Mathematics Advanced HSC
Relationship between roots and coefficients
Mathematics Advanced HSC
Repeating decimals
Mathematics Advanced HSC
Review of basics
Mathematics Advanced HSC
Scientific notation (standard form)
Mathematics Advanced HSC
Series and sigma notation
Mathematics Advanced HSC
Sign of a quadratic function
Mathematics Advanced HSC
Significant figures and decimal places
Mathematics Advanced HSC
Similar triangles
Mathematics Advanced HSC
Simple linear inequalities
Mathematics Advanced HSC
Simplifying algebraic expressions
Mathematics Advanced HSC
Simultaneous linear inequalities
Mathematics Advanced HSC
Sketching basic functions
Mathematics Advanced HSC
Sketching rational algebraic functions
Mathematics Advanced HSC
Solution of trigonometric equations
Mathematics Advanced HSC
Solution set of simultaneous equations
Mathematics Advanced HSC
Solving equations with exponents
Mathematics Advanced HSC
Solving equations with logarithms
Mathematics Advanced HSC
Solving quadratic equations by completing the square
Mathematics Advanced HSC
Substitution in formulae
Mathematics Advanced HSC
Successive outcomes
Mathematics Advanced HSC
Sum and difference of two cubes
Mathematics Advanced HSC
Tangents and normals to a curve
Mathematics Advanced HSC
The chain rule
Mathematics Advanced HSC
The cosine rule
Mathematics Advanced HSC
The definite integral and the area under a curve
Mathematics Advanced HSC
The definite integral and the primitive function
Mathematics Advanced HSC
The distributive law
Mathematics Advanced HSC
The first derivative and turning points
Mathematics Advanced HSC
The parabola as a locus
Mathematics Advanced HSC
The product rule
Mathematics Advanced HSC
The quadratic formula
Mathematics Advanced HSC
The quotient rule
Mathematics Advanced HSC
The second derivative and concavity
Mathematics Advanced HSC
The second derivative and turning points
Mathematics Advanced HSC
The sign of the derivative
Mathematics Advanced HSC
The sine rule
Mathematics Advanced HSC
Trigonometric graphs and equations
Mathematics Advanced HSC
Trigonometric identities
Mathematics Advanced HSC
Venn diagrams
Mathematics Advanced HSC
Volume of solids of revolution
Mathematics Advanced HSC
