HSC SSCE Mathematics Advanced
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Explore HSC SSCE Mathematics Advanced by Topics
Absolute value functions
Adding and subtracting algebraic fractions
Adding and subtracting surds
Algebraic fractions
Angle properties of triangles
Angle review
Angles of any magnitude
Angles of elevation and depression
Applications of the exponential function
Applications of trigonometric functions
Approximate methods of integration – Simpson’s rule
Approximate methods of integration – trapezoidal rule
Approximations
Approximations when x is small
Arc length and sector area of a circle
Area between two curves
Area bounded by the y-axis
Area formulae
Area of a triangle
Area under a curve
Coordinate methods in geometry
Dependent events
Direction and bearing
Equation of a straight line
Equations reducible to quadratics
Exact values of trigonometric ratios
Exponential functions
Factorising by grouping in pairs
Factorising non-monic trinomials
Factorising quadratic trinomials
Factorising using the difference of two squares
Finding the derivative from first principles
Finite geometric series
Finite sample spaces
Functions and relations
Further applications of series
Further examples involving discriminants
Further locus
General quadratic equations
Gradient as a rate of change
Gradient of a curve at a point
Gradient of a straight line
Graphical solution of equations
Graphs of trigonometric functions
Harder algebraic fractions
Harder intercept properties of parallel lines
Identity of two quadratic expressions
Indefinite integrals
Linear equations involving fractions
Locus
Logarithms
Midpoint of an interval and distance between two points
Mixed factorisations
More areas
More derivatives from first principles
More trigonometric exact values
Motion of a particle in a straight line
Non-linear inequalities
Quadratic equations without a constant term
Quadratic equations without a linear term
Quadratic functions
Quadrilaterals and polygons
Radian measure of an angle
Rationalising denominators
Real numbers and surds
Regions and inequalities
Relationship between roots and coefficients
Repeating decimals
Sketching rational algebraic functions
Solution of trigonometric equations
Solution set of simultaneous equations
Solving equations with exponents
Solving equations with logarithms
Solving quadratic equations by completing the square
Substitution in formulae
Successive outcomes
Sum and difference of two cubes
Tangents and normals to a curve
The chain rule
The cosine rule
The definite integral and the area under a curve
The definite integral and the primitive function
The distributive law
The first derivative and turning points
The parabola as a locus
The product rule
The quadratic formula
The quotient rule
The second derivative and concavity
The second derivative and turning points
The sign of the derivative
The sine rule
Trigonometric graphs and equations
Trigonometric identities
Venn diagrams
Volume of solids of revolution
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