Regions and inequalities Revision Notes, Past Papers & Questions for SSCE HSC Mathematics Advanced

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SSCE HSC Mathematics Advanced Regions and inequalities Past Papers & Study
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SSCE HSC Mathematics Advanced Regions and inequalities Revision Notes

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SSCE HSC Mathematics Advanced Regions and inequalities Revision Notes
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Angle review

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Angles of any magnitude

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Approximations

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Arc length and sector area of a circle

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Continuity and gradients of tangents

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Dependent events

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Derivatives of trigonometric functions

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Direction and bearing

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Equation of a straight line

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Exact values of trigonometric ratios

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Exponential functions

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Exponential growth and decay

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Factorising by grouping in pairs

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Finding the derivative from first principles

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Finite geometric series

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Finite sample spaces

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Functions and relations

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Further applications of series

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Further examples involving discriminants

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Further locus

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General quadratic equations

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Gradient as a rate of change

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Gradient of a curve at a point

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Gradient of a straight line

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Graphical solution of equations

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Graphs of trigonometric functions

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Harder algebraic fractions

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Harder intercept properties of parallel lines

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Identity of two quadratic expressions

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Indefinite integrals

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Independent events

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Index laws with fractional indices

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Index laws with integers as indices

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Infinite geometric series

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Integrating the exponential function

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Intercept properties of parallel lines

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Intersection of two lines

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Introduction to probability

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Limit and continuity

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Linear equations in one variable

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Linear equations involving fractions

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Locus

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Logarithms

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Midpoint of an interval and distance between two points

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Mixed factorisations

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More areas

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Motion of a particle in a straight line

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Non-linear inequalities

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Other examples of motion

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Parabolas and discriminants

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Parallel lines

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Perpendicular distance of a point from a line

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Primitive functions

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Primitives of trigonometric functions

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Problem solving with derivatives

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Pythagoras’ theorem

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Quadratic equations

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Quadratic equations with non-rational solutions

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Quadratic equations without a constant term

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Quadratic functions

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Quadrilaterals and polygons

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Radian measure of an angle

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Rationalising denominators

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Real numbers and surds

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Relationship between roots and coefficients

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Repeating decimals

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Review of basics

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Scientific notation (standard form)

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Series and sigma notation

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Sign of a quadratic function

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Significant figures and decimal places

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Similar triangles

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Simple linear inequalities

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Simplifying algebraic expressions

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Simultaneous linear inequalities

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Sketching basic functions

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Solution of trigonometric equations

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Successive outcomes

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