A complete and extensive topic workbook on the Mathematics Advance HSC Series & Finance topic. Content Includes * Applications of APs and GPs * The use of logarithms with GPs * Simple and compound interest * Annuities – Investing money by regular instalments * Paying off a loan * Glossary of terms * NESA Examination Materials

A complete and extensive topic workbook on the Mathematics Advance HSC Sequences and Series topic. Content Includes * Sequences and how to specify them * Arithmetic sequences * Geometric Sequences * Solving problems involving APs and GPs * Adding up the terms of a sequence * Summing an arithmetic series * Summing a geometric series * The limiting sum of a geometric series * Recurring decimals and geometric series

A complete and extensive topic workbook on the Mathematics Advance HSC Continuous Probability Distributions topic. Content Includes * Cumulative relative frequencies * Continuous probability distributions * Definitions and Properties * Further examples on PDFs and CDFs * Mean and Variance of a distribution * The Standard Normal Distribution – (Z-distribution) * The General Normal Distribution – (X- distribution) * Applications of the normal distribution * Investigations using the normal distribution

A complete topic workbook on the Year 11 Mathematics Advanced Working with Functions topic. Content Includes * Language of Probability * Illustrating the Sample Space * Sets and Venn diagrams * The Addition Rule of Probability * The Product Rule of Probability * Probability Trees * Conditional Probability * Random Variables * Discrete probability distributions * Expected Value * Variance and Standard Deviation * Textbook Exercises: Haese Mathematics (2012) * Textbook Exercises: Maths In Focus (Chapter 12)

A complete topic workbook on the Year 11 Mathematics Advanced Working with Functions topic. Content Includes * Continuity. * Limits. * The Gradient of a Curve. * The Gradient of a Curve using Secants. * The Derivative as a Limit * The Derivative Function. * Differentiating powers of x. * Tangents and Normals. * Further Differentiation – Chain Rule. * Differentiation and Index Laws. * Further Differentiation – Product Rule. * Further Differentiation – Quotient Rule. * Differentiation – Miscellaneous Examples. * Differentiability. * Rates of Change. * Rates of Change – Introduction to Motion

A complete topic workbook on the Year 11 Mathematics Advanced Algebraic Techniques topic. Content includes * Algebra: Review*. * Factorising: Review*. * Algebraic Fractions. * Equations: Review*. * Quadratic Equations. * Problems Involving Quadratic Equations. * Simultaneous Equations*. * Problem Solving & Simultaneous Equations*. * Worksheet – Simultaneous Equations*. * Basic Arithmetic*. * Recurring Decimals*. * Scientific Notation*. * Pythagoras’ Theorem and its Converse*. * Surds & Operations. * Surds - Rationalising The Denominator * Indices. * Worksheet : Indices. * Exponential Equations*. * Worksheet – Exponential Equations. * Extension - Sum and Difference of Two Cubes

A complete topic workbook on the Year 11 Mathematics Advanced Working with Functions topic. Content Includes * Distance, Midpoint, Gradient - Review… * The Equation of a Line. * Using pronumerals in place of numbers. * Applications of linear functions.

A complete topic workbook on the Year 11 Mathematics Advanced Working with Functions topic. Content Includes * Relations and Functions. * Function Notation. * Properties of a function. * Interval notation. * Linear graphs - review… * Parabolas in factored form… * Parabolas & completing the square. * Sketching parabolas using the quadratic formula and the discriminant * Applications of parabolas. * Lines and parabolas. * Cubic Graphs. * Polynomials - Definitions. * Polynomial Graphs. * Circles. * Semi-circles and semi-parabolas. * Asymptotic Graphs. * Direct variation. * Inverse variation. * Variation – Set work. * Types of Relations & Functions. * Graphing skills – Translations & Reflections. * Even and Odd Symmetry. * Absolute value. * Absolute value functions. * Composite functions.

A complete topic workbook on the Year 11 Mathematics Advanced Working with Functions topic. Content Includes * Right-angled Trigonometry * Problems involving right-angled triangles * Angles of any Magnitude * Boundary angles * Quadrants, signs and related acute angle * The sine rule and the area formula * The sine rule and the ambiguous case * The Cosine Rule * Problems Involving general triangles * Three-dimensional trigonometry * Radian measure of angle size * Measurement for arcs and sectors * Trigonometric Graphs * Trigonometry graphs in radians * Review Exercise * Identities * Pythagorean Identities * Trigonometric Equations & Degrees * Trigonometric Equations & Radians

A complete topic workbook on the Year 11 Mathematics Advanced Working with Functions topic. Content Includes * Review of Index Laws * Logarithms * The Laws for Logarithms * Change of Base Law * Exponential and Logarithmic graphs * Inverse relationship between logarithms and exponentials * Logarithmic Scales and Applications * The Exponential Function – base ‘e’ * Differentiation of Exponential Functions * The Natural Logarithmic Function – base ‘e’ * Transformations of the graph y=logex * Exponential rates using base e