Advanced Maths

A deeper level of understanding

All our content is directly connected to subjects from the NSW Board of Studies. We begin by explaining the concepts, then we proceed to simpler questions and eventually tackle questions similar to those in exams.

A fun learning environment

Our lessons are both enjoyable and interactive. We encourage group discussions, and students are welcome to ask as many questions as they wish!

What Will You Get?

Personalised Homework Questions

At LOGOS Academia, we make homework personal. We customize assignments to target each student's weak spots. Weekly, they get a special booklet full of practice questions meant to tackle their unique challenges head-on.​

Answer Books

We start preparing you as early as Year 6 to structure your mathematical explanations. Just like organising paragraphs and sentences in English, we teach students to logically present their work in math using our effective answer book system!​

Our Proven Lessons Breakdown

30 MIN

We go through any homework related issues, and ensure all students are comfortable.

1HR 30 MIN

We teach new material, developing theory, and slowing move up in difficulty until we are answering exam-style questions.

Subject Details

Week 1

GRAPHS

GRAPHS 1

Week 2

GRAPHS

GRAPHS 2

Week 3

FUNCTIONS

POLYNOMIAL DIVISION

Week 4

FUNCTIONS

SUMS AND PRODUCTS OF ROOTS OF POLYNOMIALS

Week 5

FUNCTIONS

INVESTIGATING THE MULTIPLICITY OF A ROOT OF A POLYNOMIAL

Week 6

FUNCTIONS

POLYNOMIAL GRAPHING

Week 7

RATES OF CHANGE

PARTICLE MOTION

Week 8

EXPONENTIAL AND LOGARITHMS

DIFFERENTIATION OF EXPONENTIALS, AND RELATED PROBLEMS

Week 9

RATES OF CHANGE

DESCRIBE THE RATE OF CHANGE OF A PHYSICAL QUANTITY WITH RESPECT TO TIME AS A DERIVATIVE

Week 10

RATES OF CHANGE

SOLVE PROBLEMS INVOLVING SITUATIONS THAT CAN BE MODELLED USING THE EXPONENTIAL MODEL OR THE MODIFIED EXPONENTIAL MODEL AND SKETCH GRAPHS APPROPRIATE TO SUCH PROBLEMS

Week 1

PROBABILITY AND STATISTICS

PROBABILITY REVISION

Week 2

PROBABILITY AND STATISTICS

CONDITIONAL PROBABILITY

Week 3

PROBABILITY AND STATISTICS

DISCRETE PROBABILITY DISTRIBUTIONS

Week 4

PERMUTATIONS AND COMBINATIONS

WORKING WITH COMBINATORICSTHE BINOMIAL EXPANSION AND PASCALS TRIANGLE

Week 5

PERMUTATIONS AND COMBINATIONS

FACTORIAL PROBLEMS

Week 6

EXAM

PRACTICE EXAM

Week 7

POLYNOMIALS

REVIEW BEFORE RATES OF CHANGE, INCLUDING THEIR DERIVATSUMS OF ROOTS AND MULTIPLE ROOT THEOREMIVES

Week 8

PERMUTATIONS AND COMBINATIONS

PERMUTATIONS AND COMBINATIONS

Week 9

CALCULUS

CALCULUS 2U11

Week 10

TRIGONOMETRY

TRIGONOMETRIC FUNCTIONS

Week 1

FURTHER WORK WITH FUNCTIONS

INVERSE FUNCTIONS

Week 2

TRIGONOMETRY

INVERSE TRIGONOMETRY (EQUATIONS)

Week 3

TRIGONOMETRY

INVERSE TRIGONOMETRY (GRAPHS)

Week 4

CALCULUS

RATES OF CHANGE WITH RESPECT TO TIME

Week 5

CALCULUS

EXPONENTIAL GROWTH AND DECAY

Week 6

CALCULUS

RELATED RATES OF CHANGE

Week 7

TRIGONOMETRY

COMPOUND ANGLES 1

Week 8

TRIGONOMETRY

COMPOUND ANGLES 2

Week 9

TRIGONOMETRY

SOLVING TRIGONOMETRIC EQUATIONS

Week 10

HIGHER DIFFERENTIATION

UNDERSTANDING THE FIRST DERIVATIE

Week 1

CALCULUS

AN INTRODUCTION TO CALCULUS

Week 2

CALCULUS

CALCULATING WITH DERIVATIVES

Week 3

FUNCTIONS

FURTHER WORK WITH FUNCTIONS 1

Week 4

FUNCTIONS

FURTHER WORK WITH FUNCTIONS 2

Week 5

TRIGONOMETRIC FUNCTIONS

TRIGONOMETRIC FUNCTIONS AND IDENTITIES

Week 6

TRIGONOMETRIC FUNCTIONS

FURTHER TRIGONOMETRIC IDENTITIES

Week 7

FUNCTIONS

INVERSE FUNCTIONS AND PARAMETRIC EQUATIONS

Week 8

TRIGONOMETRIC FUNCTIONS

INVERSE TRIGONOMETRIC FUNCTIONS (GRAPHS)

Week 9

TRIGONOMETRIC FUNCTIONS

INVERSE TRIGONOMETRIC FUNCTIONS (ALGEBRA)

Week 10

EXPONENTIAL AND LOGARITHMIC FUNCTIONS

LOGARITHMS AND EXPONENTIALS 1

Week 1

INTEGRATION

FURTHER AREAS UNDER THE CURVE

Week 2

FUNCTIONS

GRAPHING TECHNIQUES 1

Week 3

GRAPHS

GRAPHING TECHNIQUES 2

Week 4

CALCULUS

PARTICLE MOTION

Week 5

CALCULUS

THE GRAPHS OF PARTICLE MOTION

Week 6

TRIGONOMETRY

SKETCHING TRIGONOMETRIC GRAPHS

Week 7

TRIGONOMETRY

SOLVING TRIGONOMETRIC EQUATIONS

Week 8

LOGARITHMIC AND EXPONENTIALS

PROBLEM SOLVING WITH EXPONENTIALS AND LOGARITHMS

Week 9

STATISTICS

UNDERSTANDING FREQUENCY (EMPIRICAL) PROBABILITIES

Week 10

STATISTICS

CONDITIONAL PROBABILITIES

WEEK 11

STATISTICS

DISCRETE PROBABILITY DISTRIBUTIONS

WEEK 12

DESCRIPTIVE STATISTICS AND BIVARIATE DATA ANALYSIS

DATA (GROUPED AND UNGROUPED) AND SUMMARY STATISTICS

Week 1

DESCRIPTIVE STATISTICS AND BIVARIATE DATA ANALYSIS

BIVARIATE DATA ANALYSIS

Week 2

REVISION 1

INTEGRATION OF TRIGONOMETRIC FUNCTIONS, AND AREA UNDER THE CURVE

Week 3

REVISION 2

APPLICATIONS OF THE SECOND DERIVATIVE

Week 4

REVISION 3

PROVE TRIGONOMETRIC IDENTITIES

Week 5

STATISTICS

CONTINUOUS RANDOM VARIABLES

Week 6

STATISTICS

THE NORMAL DISTRIBUTION

Week 7

EXAM

PRACTICE TRIAL EXAM

Week 8

SEQUENCES AND SERIES

REVIEW OF AP AND GP

Week 9

SEQUENCES AND SERIES

FINANCIAL MATHEMATICS 1 (COMPOUND INTEREST)

Week 10

STATISTICS SEQUENCES AND SERIES

FINANCIAL MATHEMATICS 2 (ANNUITIES)

WEEK 11

SEQUENCES AND SERIES

FINANCIAL MATHEMATICS 3 (REDUCING BALANCE)

WEEK 12

TRIGONOMETRY

SOLVE PROBLEMS INVOLVING THE USE OF TRIGONOMETRY IN TWO AND THREE DIMENSIONS

Week 1

GRAPHS

REVISION OF GRAPHING TECHNIQUES

Week 2

EXAM

PRACTICE TRIAL EXAM

Week 3

FINANCIAL MATHEMATICS

SURPRISE! 😀

Week 4

REVISION

LINEAR FUNCTIONS AND DISCRETE PROBABILITY REVISION

Week 5

CLASS REQUESTED REVISION

APPLICATIONS OF EXPONENTIALS

Week 6

CLASS REQUESTED REVISION

TRIGONOMETRIC FUNCTIONS AND GRAPHS

Week 7

CALCULUS

OPTIMISATION PROBLEMS

Week 8

CLASS REQUESTED REVISION

DOMAIN/RANGE, PDF/CDF, PROBABILITY

Week 9

REVISION

HARDER BEARINGS AND Z-SCORE

Week 10

EXAM

PRACTICE TRIAL EXAM

WEEK 11

EXAM

PRACTICE TRIAL EXAM

WEEK 12

EXAM

PRACTICE TRIAL EXAM

Week 1

SEQUENCES AND SERIES

ARITHMETIC SERIES

Week 2

SEQUENCES AND SERIES

GEOMETRIC SERIES

Week 3

SEQUENCES AND SERIES

FINANCIAL APPLICATIONS 1

Week 4

SEQUENCES AND SERIES

FINANCIAL APPLICATIONS 2

Week 5

CALCULUS

RULES OF DIFFERENTIATION

Week 6

CALCULUS

UNDERSTANDING THE FIRST DERIVATIVE

Week 7

CALCULUS

UNDERSTANDING THE SECOND DERIVATIVE

Week 8

CALCULUS

OPTIMISATION PROBLEMS

Week 9

CALCULUS

RULES OF INTEGRAL CALCULUS

Week 10

CALCULUS

THE TRAPEZOIDAL RULE AND SIMILAR PROBLEMS

WEEK 11

CALCULUS

DEFINITE INTEGRALS

WEEK 12

EXAM

PRACTICE TRIAL EXAM