# Maths Support Resource Centre

Whether you’ve come to university fresh out of high school, or it’s been quite some time since your school days, university level maths can sometimes be tricky. At Deakin, we have created this resource centre to provide you with maths help when you need it.

## Foundation Maths Program

The Foundation Maths program is a self-paced unit made up of numeracy, statistics, algebra, trigonometry and geometry modules. You can work sequentially through each module or focus on specific areas of concern.

Self-register on Cloud Deakin to access the program.

## Faculty-specific resources

## Arts and Education

Select your unit below for view links to relevant maths resources. If your unit is not listed, check the general maths resources section for links to a variety of topics in your faculty area.

Resource site | Resource type |
---|---|

Maths is fun | Simple to complex maths explanations and activities |

Mathscasts | Access to a series of videos on foundation maths activities |

Revision maths | Free maths revision resources to help you with revision of high school maths. This covers a range of topics including: Number, Algebra, Ratio, Proportion and Rates of Change, Geometry and Measure, Trigonometry, Statistics and Probability. |

James Cook University maths support | Easy-to-understand explanatory notes, worked examples and exercises for each topic |

RMIT maths support | Links to explanations and resources on a variety of maths |

Topic | Resource site | Resource type |
---|---|---|

Conversion | Khan Academy – Metric units of length review | Explanation, worked examples & Practice questions |

Conversion | RMIT – Conversion between units | Explanation, worked examples & Practice questions |

Division | Maths is Fun – Division | Explanation, with links to worked examples & long division |

Measurement | Maths is Fun – Measure | Links to explanations |

Multiplication | Maths is Fun – Multiplication | Explanation/Tips & Tricks |

Topic | Resource site | Resource type |
---|---|---|

Algebra | Maths is Fun – Algebra | Written explanation and examples |

Equivalent fractions | Maths is Fun – Equivalent fractions | Written explanation and examples |

Fractions | James Cook University – Working with fractions | Booklet with explanation and written examples to try |

Geometry | James Cook University – Geometry | Written explanation and examples |

Numeracy | James Cook University – Working with numbers | Booklet with explanation and written examples to try |

Probability | Revision maths – Probability | Video and written explanation |

Statistics | James Cook University - Basic statistics | Written explanation and examples |

General practice for LANTITE | ACER - LANTITE Practice test | Online resource with sample questions. |

Open Learning - LANTITE Numeracy | Training resource for LANTITE. | |

LANTITE preparation resources | LANTITE preparation resources. |

## Health

Resource site | Resource Type |
---|---|

Maths is Fun | Simple to complex maths explanations and activities |

Mathscasts | Access to a series of videos on foundation maths activities |

Revision maths | Free maths revision resources to help you with revision of high school maths. This covers a range of topics including: Number, Algebra, Ratio, Proportion and Rates of Change, Geometry and Measure, Trigonometry, Statistics and Probability |

James Cook University – Maths support | Easy-to-understand explanatory notes, worked examples and exercises for each topic |

RMIT – Maths support | Links to explanations and resources on a variety of maths |

Topic | Resource site | Resource Type |
---|---|---|

Converting units | Khan Academy – Fraction arithmetic | This link contain videos details how to work with calculations involving fractions. |

Converting units | Purple Math – Metric conversion | Video and written explanation of terms |

Converting units | YouTube – Math Coach – Converting square and cubic units | Video explanation |

Drug calculations | Flinders University – Drug calculation quiz | A useful drug dosage calculation quiz for nursing students |

Drug calculations | Flinders University – BVVasic drug calculations | Explanations on dosage and calculating it with worked examples |

Drug calculations | RMIT – Nursing calculations | Explanations on dosage and calculating it with worked examples |

Drug dosage calculations | Khan Academy – Unit conversion word problem: Drug dosage | A great video taking you through a worked example of a drug dosage calculation |

Fractions | Khan Academy – Converting units | A good resource relating to converting units of measurement |

Topic | Resource site | Resource type |
---|---|---|

Chi-square | YouTube – Khan Academy – Pearson's Chi square test | Video about understanding Pearson's Chi-Square |

Cohen's d | YouTube – How2Stats – Cohen's d | Video explanation of Cohen's method |

Correlation | YouTube – ASK Brunel – Covariance and correlation coefficients | Video about interpreting the correlation coefficient |

Regression | Statistics how to – Regression equation | Text and examples on regression analysis |

T-test | Statistics how so – T-Test | Explanation and examples of T-test |

Topic | Link | Resource Type |
---|---|---|

Chi-square | YouTube – Khan Academy – Pearson's Chi-square test | Video with a good introduction to Chi-Square |

Regression, multiple regressions, correlations | YouTube – ASK Brunel – Correlation coefficients | Video about the application of correlation |

Simple ANOVA, two-way ANOVA, repeated measures ANOVA | Khan Academy – ANOVA linear regression | Text and examples on the applications of Anova |

T-test | Statistics How To – T-Test | Text and examples on the introduction and theory of T-test |

z-scores | Cliff Notes – Sample z-test | Text and examples on applying the z-test |

Topic | Resource site | Resource Type |
---|---|---|

Algebra | Victorian University – Transposing algebra | Written explanation and practice questions for rearranging equations. |

Biomechanics -Trigonometry | Revision Maths – Sine and cosine rule | Text and worked examples on applying sine and cosine rules. |

Displacement, Velocity, Acceleration | Khan Academy – Acceleration | Article with an explanation of motion concepts |

Linear/Angular kinematics | YouTube – Relating angular and linear quantities | Video on circular motion |

Magnitude and direction of vectors | The Physics Classroom – Scalars and vectors | Instructions and practice questions |

Maximum height, acceleration | Khan Academy – Projectile motion | Video on projectile motion |

Projectile motion | Khan Academy – Projectile motion | Video on Trigonometry - sine, cosine, tangent |

Pythagorean Theorem | Khan Academy – Pythagorean theorem | Video on Pythagoras's Theorem and applications |

Transposing equations | RMIT – Algebra | Algebra covering rearranging formulas, simplification, operations, quadratics, substitution |

Trig ratios | Maths is Fun – Trigonometry | Text and examples on trigonometry and algebra |

## Business & Law

Resourse site | Resource type |
---|---|

Maths is Fun | Simple to complex maths explanations and activities. |

Mathscasts | Access to a series of videos on foundation maths activities. |

Revision Maths | Free maths revision resources to help you with revision of high school maths. This covers a range of topics including: Number, Algebra, Ratio, Proportion and Rates of Change, Geometry and Measure, Trigonometry, Statistics and Probability. |

James Cook University - Maths Support | Easy-to-understand explanatory notes, worked examples and exercises for each topic. |

RMIT - maths support | Links to explanations and resources on a variety of maths. |

Topic | Resourse site | Resource type |
---|---|---|

Financial budgets | Double Entry Bookkeeping – Adjusting journal entries | Worked examples |

Fixed and variable costs | Corporate Finance Institute – Fixed and variable costs | Explanation of terms and examples |

Income statement | Corporate Finance Institute – Income statement | Written explanation with examples |

Statistics | YouTube – Crash Course – What is statistics | Video crash course in statistics |

Statistics | Maths is Fun – Using and handling data | Written explanation and worked examples |

Transposing equations | University of East Anglia – Rearranging equations | Written explanation of how to transpose equations |

Topic | Resource site | Resource type |
---|---|---|

Algebra | Khan Academy – Algebra | An Algebra boot camp for your brain! A series of Algebra modules ranging from foundations, equations and inequalities to quadratics and irrational numbers. Video series, practice questions, quizzes. |

Applications | Economist Network – Maths formula | Written explanation summary of economics. |

Expanding brackets | Maths is Fun – Expanding | Clear explanation on expanding brackets. |

Fractions: adding, subtracting, multiplying, dividing | RMIT – Fractions | How to add, subtract, divide and multiply fractions as well as how to convert between decimals and fractions. Video series, worked examples. |

Fractions: general | Maths is Fun – Fractions | Links to everything you will need in the part world of fractions... Text, examples, practice questions and an interactive fraction pizza! |

Gradient and intercept | Desmos – Graphing calculator | Graphing Tool - Graphing calculator for any equation. |

Gradient and intercept | YouTube - Khan Academy - Slope-intercept form | Explanation with example - Includes y = mx + C along with explanation. |

Indices | Maths is Fun – Introduction to indices | Index laws with a great range of practice questions each with worked solutions. Text, practice questions. |

Solving equations | YouTube – Maths Antics – Algebra basics: Solving basic equations Part 1 | Video series. |

Topic | Resource site | Resource type |
---|---|---|

Functions and graphing | RMIT – Functions and graphs | Series of written information and problems explained |

Principles of Microeconomics | eBook – Principles of Microeconomics | eBook - read through Graphs, pp 39 – 49 |

Topic | Resource site | Resource type |
---|---|---|

Algebra | Khan Academy – Algebra | Videos, Practice Questions - Includes all levels of algebra on the Khan Academy website. |

Topic | Resource site | Resource type |
---|---|---|

Algebra Summation | Colombia University – Summation notation | Written explanation of steps - Summation laws and meaning of the summation notation |

Hypothesis testing | YouTube – Statistics How To – Hypothesis testing | Video of worked example - hypothesis video using the Z score and z test |

Multiple linear regression | Kanopy - Multiple Linear Regression | Video explanation |

Probability, linear regression | Statistics Solutions – Probability | Written explanation and definitions - Basic additive and multiplicative laws and meaning of probability vocabulary |

Khan Academy – Constructing a probability distribution for random variable | Video explanation of examples - Calculating Probability distribution tables | |

Regression | Yale University – Linear regression | Text explanation and examples |

Standard Deviation/Mean/Median | BMJ – Mean and standard deviation | Written explanation of each |

YouTube – Statistics is Fun – How to calculate standard deviation and variance | Step by step video tutorial | |

Maths is Fun – Standard deviation | Written explanation of each | |

Standard Deviation/Mean/Median - using excel | YouTube – Statistics is Fun – How to calculate standard deviation, mean, variance statistics, Excel | Video of calculating the mean and standard deviation using Microsoft Excel formulas |

Statistics | RMIT – Statistics | written explanation and worked examples |

t-stats calculation | University of Connecticut – t Test | PowerPoint explanation |

Time series | Kanopy – Time series analysis | Video explanation |

Topic | Resource site | Resource type |
---|---|---|

Algebraic Simplification | Khan Academy – Algebra | video and worked examples |

Game Theory | Brilliant – Game theory | Written explanation and examples |

YouTube – Yale University – Game theory lectures | Game theory lectures from Yale - video lecture, worked examples | |

Indices | Revision Maths – Indices | Revision notes for indices with examples |

Topic | Resource site | Resource type |
---|---|---|

Annuities and multiple cash flow | Investopedia – Calculating present and future value of annuities | PV and FV of ordinary annuity and annuity due - Text and Worked examples |

Constant vs annual annuity | Maths is Fun – Annuities | Written explanation with examples |

Coupon bonds | XPlained – Bond price | Bond pricing with annual and semi-annual coupon payments - Text and worked examples |

Excel pivot tables | YouTube – Excel Campus – Introduction to pivot tables | Video example and worked examples. |

Exponents and logarithms | Maths is Fun – Exponents and logarithms | Written explanation and practice activities |

Financial calculations and profiles | VISSF – Risk profile calculator | Online calculator for financial risk with explanation |

Financial calculator | YouTube – Financeization – Financial calculator Part 1 – Setting up | Text and worked examples |

Financial calculator | YouTube – Financeization – Financial calculator Part 2 - Basic PV and FV | Text and worked examples |

Financial maths - percentages and formulae | Cambridge – Principles of Financial Mathematics | Workbook with explanations and sample activities |

Formatting tables and equations in WORD | TeachUComp – Insert table formulas in Word | Written instructions and videos on how to do this |

Logs and limits | YouTube – MathCabin – Limits of logarithmic functions | Video explaining worked sample |

Lump sum/compound equations | TVMCalcs – Mathematics of lump sums | Written explanation with sample equations |

Modelling time series plots in excel and working out what model to use on which data. | Jalayer Academy – Excel – Time series forecasting – Part 1 of 3 | Video and worked examples |

Money Reserves, Fractional Banking Systems | Khan Academy – Overview of fractional reserve banking | Video example and how use them |

Present value and future value | Khan Academy – Time value of money | Time value of money concept explained from scratch - Video explanation of time and money - present and future value |

Simple/compound interest | Khan Academy – Introduction to simple interest | video with explanations and worked examples |

Maths is Fun – Compound interest | Practice questions | |

Tax calculations | ATO – Simple tax calculator | Step by step how to of calculating tax by ATO |

Topic | Resource site | Resource type |
---|---|---|

Compound interest | The Calculator Site - Compound Interest Formula | Compound interest formula and detailed explanation - Text and worked examples |

Currency conversion | Maths is Fun - Currencies | Money conversion explained in detail - Text, worked examples and practice questions |

Financial markets | Free Math Help - Finance Math | Financial lessons on annuities, compound interest, future value, P/E Ration and Present Value - Text and worked examples |

Ratio analysis | Khan Academy - Introduction to Ratios | Ratio analysis from scratch - Video, worked examples and practice questions |

Simple and compound interest | Khan Academy - Introduction to Simple Interest | Introduction to Simple Interest concept and explanation - Video, worked examples and practice questions |

Topic | Resource site | Resource type |
---|---|---|

Algebra | RMIT – Algebra | Video explanation and practice worksheets. |

Algebra | Maths is Fun – Algebra | Covers a series of sub-topics under algebra to provide the student with a vast knowledge on algebra from the very basic lessons - Worked examples and Text. |

Compound interest | Khan Academy – Introduction to compound interest | Details about compound interest with basic compound interest calculations - Text/Worked examples/Practice questions/Videos. |

Compound interest calculator | Calculator Soup – Compound interest calculator | An online calculator that helps students to double check the answers for questions related to compound interests when solving problems - Online software. |

Financial math | Free Math Help – Finance math | Provides a basic summary on the lessons annuities, compound interests,future value, present value - Worked examples and Text. |

Future value/ present and future bonds | Free Math Help – Finance math | Provides a detailed description about present value and future value - Worked examples and Text. |

Normal, binomial distrubutions /sampling / CI | Khan Academy – Binomial distribution | Description on how to calculate the binomial distribution - Worked examples/Text/Video. |

Topic | Resource site | Resource type |
---|---|---|

Data (F value) | Statistics How To – F Statistic value test | Video and explanation with examples |

Derivatives – Chain rule - Many steps… | Khan Academy – Introduction to the chain rule | Video explanation and examples |

Linear data analysis, regression lines | Statistics How To – Find a linear regression equation | Calculating the gradient and y intercept of the regression line with examples - Written explanation and examples |

Payoff tables, box-plot probabilities, interquartile ranges and quartiles | Khan Academy – Interquartile range review | Video explanation |

Sample and populations | YouTube – Further Maths – Samples and populations (Statistics) | Video explanation |

Statistics p-value, t-test | RMIT – Statistics | hypothesis testing with both p test and t tests - Written explanation of a variety of statistics |

Statistics p-value, t-test | Statistics How To – t Test | T test written explanation with worked examples |

Z and T values when to use these | Khan Academy – Z statistics vs T statistics | |

Z and T values when to use these | Stack Exchange – When to use T value or Z value | |

Z-scores, continuous distribution | RMIT – Statistics | This link contains information about hypothesis testing, z values and p values |

## SEBE

Resource site | Resource type |
---|---|

Maths is Fun | Simple to complex maths explanations and activities. |

Mathscasts | Access to a series of videos on foundation maths activities. |

Revision Maths | Free maths revision resources to help you with revision of high school maths. This covers a range of topics including: number, algebra, ratio, proportion and rates of change, geometry and measure, trigonometry, statistics and probability. |

James Cook University – Maths Support | Easy-to-understand explanatory notes, worked examples and exercises for each topic. |

RMIT – maths support | Links to explanations and resources on a variety of maths. |

University of Colorado – Simulations | Simulation activities for a variety of maths, chemistry and physics concepts at varying levels of difficulty. |

Topic | Resource site | Resource type |
---|---|---|

Calculating gradient | Revision Maths – Gradients and graphs | Detailed description on how to calculate the gradient of a curve and a straight line – text, video, worked example |

Calculating uncertainties | WikiHow – Calculate uncertainty | A wikiHow on calculating uncertainties – Text, worked example |

Circuits and Ohm's law | Khan Academy – Circuits Part 1 | Series with videos, worksheets and practice questions to hone your skills covering circuits and Ohm's Law. Video series, practice questions, quizzes |

Coulomb's law | Khan Academy – Electric charge, electric force and voltage | Sal Khan's physics unit covering electric charge, field and potential. Video series |

Moment of inertia | SkyCiv – Moment of inertia calculator | Moment of inertia and centroid calculator. Online software |

Motion graphs | YouTube – Jennifer Cash – Interpreting motion graphs | Motion graphs: position vs time, velocity vs time and acceleration vs time. Video |

Voltmeters and ammeters | Khan Academy – Voltmeters and ammeters | video explanation and worked examples |

Vectors and trigonometry | Maths is Fun – Vectors | Basics of vectors; addition, subtraction, dot product and cross product. Text, examples, practice questions, vectors widget |

Velocity, acceleration, relative speed and distance | YouTube–- Derek Owens – Physical Science 1.3c | Complete chapter of videos covering velocity, acceleration, graphing and conversions. Video series |

Topic | Link | Resource Type |
---|---|---|

Coriolis effect | National Geographic – Coriolis effect | National Geographic's encyclopaedic entry on the Coriolis effect. Text, slide show. |

Graphical acceleration analysis | University of Arizona – Graphical acceleration analysis | Graphical method for acceleration analysis for planar mechanisms.Text, worked example |

Graphical velocity analysis | University of Arizona – Graphical velocity | Graphical method: four-bar, sliding collar, crank, instantaneous centres. Text, worked example |

Rigid-body dynamics | Real World Physics Problems – Rigid body dynamics | Rigid-body dynamics, equations of motion.Text, worked example |

Velocity and acceleration loop | Real World Physics Problems – Velocity and acceleration | Velocity and acceleration in terms of angular velocity, angular acceleration, relative velocity and relative acceleration.Text, worked example. |

Topic | Resource site | Resource type |
---|---|---|

Engineering modelling | YouTube – patrickJMT – Integration using U-substitution | Integration using U substitution.Videos with worked example |

Homogeneous second order linear differential equations | YouTube – patrickJMT – Homogeneous second order linear differential equations | Short video on solving homogeneous second order linear differential equations. Videos with worked example |

Laplace | YouTube – patrickJMT – The Laplace Transform - The basic idea of how we use it | The first in a series of videos explaining the Laplace transform. Videos with worked example |

Method of undetermined coefficients | YouTube – patrickJMT – Method of undetermined coefficients/ 2nd order linear DE | Solving a 2nd order linear non-homogeneous differential equation using the method of undetermined coefficients. Videos with worked example |

ODE's - solve using integrating factors | YouTube – patrickJMT – Integrating factor to solve a differential equation | Integrating factors to solve ODE. Videos with worked example |

Separable first order differential equations | YouTube – patrickJMT – Solving separable first order differential equations - Ex 1 | Solving separable first order differential equations. Videos with worked example |

Topic | Resource site | Resource type |
---|---|---|

Conversion between decimal, fractions and percentages | Maths is Fun – Decimals, fractions and percentages | Covers conversions between decimals, fractions, and percentages. Text, examples, practice questions |

Geometry | Maths is Fun – Geometry | Geometry springboard with links to Plane Geometry, Solid Geometry, Trigonometry. Texts, images and links |

Greek number system | MacTutor – Greek number systems | Using the Greek number systems; the Greek alphabet and symbols. Text, examples |

Multiples and factors | AMSI – Multiples, common multiples and the LCM | Multiples and factors. Includes Lowest Common Multiple (LCM), powers, tests for divisibility and more. Text, examples, practice questions |

Roman numerals | Maths is Fun – Roman numerals | How to read and write Roman numerals - CI. Text, examples, practice questions, conversions tool |

Tessellations | Maths is Fun – Tessellations | A great site explaining tessellations and a link to a tessellation artist widget. Text, images and tessellation programs |

Topic | Resource site | Resource type |
---|---|---|

Algebra | Khan Academy – Algebra | An algebra boot camp for your brain! A series of algebra modules ranging from foundations, equations and inequalities to quadratics and irrational numbers. Video series, practice questions, quizzes |

Calculus | HELM Workbooks | Quadratics, exponents, differentiation, integration and so much more! This is an excellent resource presented as a series of workbooks. Workbook, practice questions |

Indices | Laerd Mathematics – Indices and the law of indices | Index laws with a great range of practice questions each with worked solutions. Text, practice questions |

Linear Equations | Maths is Fun – Systems linear equations | Written explanation and examples |

Logarithms | Maths is Fun – Logarithms | The perfect introduction to logarithms. Steps you through the relationship between logs and exponents and links to more. Text, examples, practice questions |

Trigonometry | RMIT – Trigonometry | Trigonometry covering Pythagoras' theorem, right angled triangles, sine/cosine and trigonometric equations. Video series and booklet with practice questions |

Topic | Resource site | Resource type |
---|---|---|

Basic theoretical probability | Khan Academy - Probability Library | video explanation and practice problems |

Confidence intervals | Loughborough University - Statistics Leaflets | Student guide to Statistics presented as a series of leaflets. Includes confidence intervals, t-tests and chi-squared tests. Text, examples, practice questions |

Probability | Khan Academy - Probability | A program of videos, fact sheets and quizzes to master probability. Video series, practice questions, quizzes |

Statistical calculator | Calculator Soup - Descriptive Statistics Calculator | Online calculator that generates descriptive statistics. The link includes formulas and definitions. Online calculator, text |

Statistics and Probability | YouTube - Swinburne - StatsCasts | StatsCasts - YouTube videos for statistics support. Video series |

Topic | Resource site | Resource type |
---|---|---|

Integers | Khan Academy - Whole Numbers Integers | Integers - the basics. Khan Academy worksheet and questions |

Limits, derivatives, integrals and more! | YouTube - patrickJMT - Channel | PatrickJMT Math Channels video series on limits, derivatives and integrals. Video series |

Matrices | Khan Academy - Introduction to the Matrix | Sal Khan on the Introduction to Matrices - with a hint of Keanu. Video, worksheets, practice questions |

Loughborough University - Workbook | Written explanations and workbook | |

Modular Arithmetic | Brilliant - Modular Arithmetic | Modular Arithmetic - remainders, congruence, addition, multiplication etc. Text, examples, practice questions |

Proof by induction | Khan Academy - Proof by Induction | Proof of finite arithmetic series formula by induction. Khan Academy video |

Sigma notation | Khan Academy- Sigma Notation Sum | Explaining the Sigma Symbol and summation notation. Khan Academy video and text |

Truth Tables and Logical Equivalence | Millersville University - Truth Tables, Tautologies, and Logical Equivalences | Truth tables, logical equivalence and tautologies. Text, worked examples and summary |

Topic | Resource site | Resource type |
---|---|---|

Calculus | Loughborough University - Workbook | Written explanations and workbook |

Derivatives: Quotient and Product Rule | Lamar University - Product Quotient Rule | Paul's Online Notes working through the Product and Quotient Rule. Text and examples |

Functions | YouTube - Mathantics - Algebra Basics: What Are Functions? | Introductions to functions and the general terms used. Videos with worked examples |

Geometry and vectors | RMIT - Vectors | Written explanation and examples |

Integration methods | Khan Academy - Integral Calculus | Khan academy "course" on integrals, includes various integration methods. Video series, worksheets and practice questions |

Limits | Maths is Fun - Limits | Introduction to limits. Text, examples, practice questions |

Maclaurin and Taylors Series | Khan Academy - Maclaurin and Taylors Series | Explanation of Maclaurin and Taylor series. Video series, worksheets and practice questions |

Newton-Raphson method | YouTube - ExamSolutions - How to use the Newton Raphson method | How to use the Newton-Raphson method. Worked examples explained through videos |

Partial fractions | Lamar University - Partial Fractions | Integration by Partial Fractions. Text and examples |

Simpsons and Trapezoidal Rules | Imperial College London - Numerical Methods: The Trapezium Rule and Simpson's Rule | Numerical methods of integration using Simpson's and the Trapezium rules. Text and examples |

Trig functions and applications with triangles | Khan Academy - Basic Trigonometry | Trigonometric ratios and triangles. Video series, worksheets and practice questions |

Topic | Resource site | Resource type |
---|---|---|

Algebra | Loughborough University - HELM Workbooks | Basic Algebra, functions, equations, inequalities and so much more! This is an excellent resource presented as a series of workbooks. Workbook, practice questions |

Complex numbers | YouTube - Derek Owens - Complex Numbers | Introduction to complex numbers with worked examples. Access to part 2. Videos with worked examples |

Matrices | Khan Academy - Introduction to the Matrix | Introductions to functions and the general terms used. Videos with worked examples |

Set theory | YouTube - Worldwide Centre of Mathematics - Intro to Sets | Series of videos covering sets, subsets and functions. Video series |

Vectors and their applications | YouTube - High School Physics Explained - Understanding Vectors | Vectors and vector addition summarised in a video with worked examples. Videos with worked examples |

Topic | Resource site | Resource type |
---|---|---|

Affine ciphers | Crypto Corner - Affine Cipher | Website stepping through the concept of Affine ciphers with an example/cipher generator to play with. Text, cipher widget |

Chinese remainder theorem | YouTube - Randell Heyman - The Chinese Remainder Theorem made Easy | A worked example showing the CRT step by step. Videos with worked examples |

Euclidean Algorithm | YouTube - GVSUMath - The Euclidean Algorithm | Step by step video finding the gcd of two numbers using the Euclidean Algorithm. Videos with worked example |

Euler's Theorem | YouTube - Randell Heyman - Euler's Theorem Made Easy | Euler's theorem worked through with three examples. Goes through the notation, examples and provides links to additional videos. Videos with worked examples |

Extended Euclidean Algorithm - Fast Modular Exponentiation | University of Colorado Denver - The Extended Euclidean Theorem | Step by step on how to find the gcd of two integers using the Extended Euclidean Algorithm. Text, worked example |

Polynomial Long Division | Maths is Fun - Polynomial Long Division | Polynomial long division Maths is Fun style. Text, video examples, practice questions |

Topic | Resources site | Resource type |
---|---|---|

ANOVA | Maths and Statistics – One way ANOVA by hand | ANOVA testing example by hand or excel. Worked example and "how to" video |

Differential equations | RMIT – Differential equations | First order linear, second order homogeneous and non-homogeneous differential equations. Worksheets |

Double integrals | Khan Academy – Double integrals | Double integrals over varying regions. Text, video, practice questions |

Lagrange multipliers and optimisation | Khan Academy – Lagrange multipliers and constrained optimisation | Lagrange multipliers and optimisation theory and practice. Video series, practice questions |

Topic | Resources site | Resource ype |
---|---|---|

Eigenvalues and eigenvectors | HELM Workbook – Eigenvalues and eigenvectors | Eigenvalues and eigenvectors; concepts, applications and numerical determination. Workbook, practice questions |

Gaussian and Gauss-Jordan elimination | YouTube – Bri The Math Guy – Gaussian elimination and Gauss Jordan elimination (Gauss elimination method) | Quick summary on what you need to know for Gauss and Gauss-Jordan elimination. Video with worked examples |

Matrices and determinants | Maths is Fun – Matrix determinant | Clear explanation on 2x2 and 3x3 matrix determinant calculation. Text, examples, practice questions |

Matrix solution of equations | Loughborough University – Matrix solution of equations | Matrix solution of equations using Cramer's Rule, inverse matrix method and Gaussian elimination. Workbook, practice questions |

Set theory relations – symmetry, reflexivity and transitivity | YouTube – Trefor Bazett – Reflexive, symmetric, and transitive relations on a set | Reflexive, symmetric and transitive relations on a set. Videos with worked examples. |

Vector spaces | YouTube – Adam Panagos – Linear algebra example problems – vector space basis example #1 | Vector spaces and calculation for basic linearly independent vectors. Videos with worked examples |

Topic | Resource site | Resource type |
---|---|---|

Equivalent ratios | Khan Academy – Equivalent ratios | Equivalent ratios; introductions, review and practice. Video, text, quizzes, worked examples, practice questions |

Fractions | RMIT – Fractions | How to add, subtract, divide and multiply fractions as well as how to convert between decimals and fractions. Video series, worked examples |

Genetics probability | YouTube – Shomu's Biology – How to solve genetics probability problems | Shomu's Biology presents a probability video for genetics. Video |

Introduction to ratios | Khan Academy – Ratio example problems | Introduction to the basics of ratios with practice questions. Video, examples, practice questions |

Mendelian genetics and probability | Khan Academy - Probabilities in genetics | Khan Academy's series on Introduction to heredity. Includes Mendelian genetics and probability, Punnett squares and probability basics. Video, text, quizzes, worked examples, practice questions |

Topic | Resource site | Resource type |
---|---|---|

Energy transfer | Khan Academy – Electric charge, electric force and voltage | Electrical concepts explained through a series of videos. Video series |

Physics | The Physics Classroom – Topics | Home page for access to Kinematics, Newton's Laws, Vectors and more. Text, examples, practice questions |

Physics | Maths is Fun – Physics | Physics springboard with links to Units, Motion, Force and more. Text, examples, practice questions |

Rearranging and solving physics equations | YouTube – QMCPhysics – Physics skills – Rearranging equations | Rearranging force, wave speed, energy, speed and power equations. Video |

Rearranging velocity equations | YouTube – Brian Corbett – Science 10 physics: rearrange basic formulas | Rearranging speed, velocity and acceleration equations. Video |

Topic | Resource site | Resource type |
---|---|---|

Lab report writing skills | Deakin University – Reading and writing for science | Lab report writing explained with interactive interface. Text, interactive interface, questions |

Pressure | Khan Academy – Pressure | Pressure due to gravity, fluid pressure and pressure at atmospheric level. Text, formulas, examples |

Scaling in microscopy | Rice University – Measurement with the light microscope | Measuring and scaling objects seen under the microscope. Text, example questions |

Surface to volume ratio | Study.com – Surface area to volume ratio | Surface to volume ratio online crash course. Video, example questions |

Topic | Resource site | Resource type |
---|---|---|

Balancing chemical equations | Chemistry LibreTexts – How to write balanced chemical equations | Written explanation and examples |

Balancing chemical equations | WikiHow – Balance chemical equations | Written explanation and worked examples |

Formula mass and mole calculations | BBC ByteSize – Revision | Written explanation and worked examples |

Logarithms | YouTube – Khan Academy – Logarithms | Mario claims that this is everything you need to know about logs! |

Logarithms | Live Science – Logarithms | Written explanation and worked examples |

Mole calculations | YouTube – Ketzbook – Mole conversions made easy: How to convert between grams and moles | Mole conversions: convert between grams and moles |

Scientific notation | University of Adelaide – Scientific notation rounding revision | University of Adelaide's Maths Learning Centre: Scientific notation and rounding. Text, practice questions |

Significant figures | Khan Academy – Significant figures | Sal Khan will step you through the how to of significant figures in a series of videos with a practice worksheet. Text, practice questions |

Topic | Resource site | Resource type |
---|---|---|

Approximation rounding | BBC ByteSize – Revision | Written explanation and sample questions |

Chemistry fundamentals | University of North Carolina – Chemistry fundamentals | Chemistry fundamentals including nomenclature, stoichiometry, gas laws and thermodynamics. Text, practice questions |

Henderson-Hasselbach equation | Chem Team – Introduction to the Henderson-Hasselbalch equation | Henderson-Hasselbach equation (equilibrium and buffers) alternate explanation with link to practice questions. Text, practice questions with answers and explanations |

Introduction to using a scientific calculator | University of Wollongong – Using a scientific calculator | A handy resource on how to use your scientific calculator. Text and practice |

Logarithms | Math Centre – Logarithms | Logarithms: the why, what and how. Text, practice questions |

Oxidation number and redox reactions | Khan Academy – Oxidation number | Khan Academy's videos and worksheets on oxidation number and redox reactions. Videos, text |

Specific heat | BrightStorm – Specific heat | Video explanation |

Thermodynamics | Khan Academy – Thermodynamics | Has great sections on entropy, enthalpy, Gibbs free energy, specific heat capacity equations and more. Video series, practice questions |