Mathematics for UK University Foundation Year
Digital Learning Courseware
Similar product to MyLab & Mastering Pearson
The Education Auditorium UK was founded on the belief that education should be accessible to everyone, no matter where you are. We strive to provide digital courseware that is tailored to meet the needs of students and educators. Our digital courseware for maths for university foundation year is a digital learning collection of thoroughly structured online tutorials, homework, and assessment similar to MyLab & Mastering, designed in line with Maths specifications delivered in Foundation year by British universities. Through our digital courseware, we are committed to helping students to achieve their goals and become the best version of themselves.
Sample Playlist name: Polar Coordinate
Level: University Foundation Year
Subject: Pure Maths
Topic: Polar Coordinate
Indepth Tutorials
 Nearly all Maths topics are covered
 Helpful for longterm retention
 Invaluable when it comes to exam revising
 Reduces the need for reteaching
 Reduces the impact of students & teacher accidental absence
The Students Practice Page
 Students find their specific topics to practice
 Maths practice for longterm retention
 Reduces the teaching time for revising prior exams
 Reduces the impact of students & teacher accidental absence
Creating Students Homeworks
 Select from a large questions bank
 Create an assignment in less than 5 minutes
 All assignments are autograded
 Save Lecturers Time
Performance Report
 Displays student gradebook
 Provides students & class performance report
 Monitor the amount of student has practiced
 Highlights weak areas of individual students
 Gathers invaluable statistical information in different format to use for different purposes
The Benefits for Educators
Time & cost saving

Using our questions bank, tutors can create & publish any homework & test to students in less than 5 minute

All our homework and tests are autograded & automatically saved to the Student Grade Table
Eliminate the need for constant teaching & mitigate students & teachers absence

Owing to our extensive library of curriculum aligned tutorial videos, it eliminates the need for constant reteaching & it mitigates students & teachers absence
Other Benefits

Indepth tutorials for the applied Mathematics modules which cover all the Alevel Statistics & Mechanics topics

Organising our tutorials in topicformat helps in eliminating overwhelming efforts needed by teachers during the short revision period before exams

Our LMS provides you with a comprehensive reports for student & class performance
The Benefits for Students
Abundance of Autograded practice questions

Abundance of autograded practice questions for each topics to improve longterm skill retention, boosting student engagement and skill mastery.
Extensive curriculumbased Tutorial

A generous amount of comprehensive curriculumbased videos ensures longterm retention, increases student motivation and confidence
Other Benefits

Owing to the topicformat & being digital materials, that gives the ability to less able students to relearn & practice any lesson over & over at their own time & comprehension ability till the new ideas sink in well which reduces the performance gap between students
Sample Playlist name: Partial Differentiation
Level: University Foundation Year
Subject: Pure Maths
Topic: Partial Differentiation
Sample Playlist name: Vectors
Level: University Foundation Year
Subject: Pure Maths
Topic: Products of vectors
TOC  Maths Modules for UK University Foundation Year
Core Pure Maths
Module 1  Arithmetic
Unit 1 Types of numbers
Unit 2 Factors and prime numbers
Unit 3 Fractions, ratios and percentages
Unit 4 Decimal numbers
Unit 5 Powers
Unit 6 Number systems
Module 2  Introduction to algebra
Unit 7 Algebraic expressions
Unit 8 Powers
Unit 9 Algebraic multiplication and division
Unit 10 Factorisation of algebraic expressions
Module 3  Expressions and equations
Unit 11 Expressions and equations
Unit 12 Evaluating expressions
Module 4  Graphs
Unit 13 Graphs of equations
Unit 14 Using a spreadsheet
Unit 15 Inequalities
Unit 16 Absolute values
Module 5  Linear and simultaneous equations
Unit 17 Linear equations
Module 6  Polynomial equations
Unit 18 Polynomial equations
Module 7  Partial fractions
Unit 19 Partial fractions
Unit 20 Denominators with repeated and quadratic factors
Module 8  Trigonometry
Unit 21 Angles and trigonometric ratios
Unit 22 Trigonometric identities
Module 9  Functions
Unit 23 Processing numbers
Unit 24 Composition – ‘function of a function’
Unit 25 Trigonometric functions
Unit 26 Inverse trigonometric functions
Unit 27 Exponential and logarithmic functions
Unit 28 Odd and even functions
Unit 29 Limits
Module  10 Matrices
Unit 30 Matrices
Unit 31 Inverse matrices
Unit 32 Solving simultaneous linear equations
Module 11  Vectors
Unit 33 Scalar and vector quantities
Unit 34 Vectors in space
Unit 35 Products of vectors
Module 12  Binomial series
Unit 36 Factorials and combinations
Unit 37 Binomial series
Unit 38 The ∑ (sigma) notation
Module 13  Sets
Unit 39 Sets and subsets
Unit 40 Set operations
Unit 41 Set properties
Module 14  Probability
Unit 42 Empirical probability
Unit 43 Classical probability
Unit 44 Addition law of probability
Unit 45 Multiplication law and conditional probability
Module 15  Statistics
Unit 46 Data
Unit 47 Measures of central tendency
Unit 48 Dispersion
Unit 49 The normal distribution
Module 16  Regression and correlation
Unit 50 Regression
Unit 51 Correlation
Module 17  Introduction to differentiation
Unit 52 Gradients
Unit 53 Further differentiation
Module 18  Partial differentiation
Unit 54 Partial differentiation
Unit 55 Further partial differentiation
Unit 56 Calculating errors
Module 19  Integration
Unit 57 Integration
Unit 58 Integration of polynomial expressions
Unit 59 Integration by partial fractions
Unit 60 Integration by parts
Unit 61 Areas under curves
Unit 62 Integration as a summation
Module 20: Methods in Differential Equations
Unit 63 FirstOrder Differential Equations
Unit 64 Secondorder homogenous differential equations
Unit 65 Secondorder nonhomogenous differential equations
Unit 66 Using boundary conditions
Module 21 Modelling with Differential Equations
Unit 67 Modelling with FirstOrder Differential Equations
Unit 68 Simple Harmonic Motion
Unit 69 Damped and Forced Harmonic Motion
Unit 70 Coupled FirstOrder Simultaneous Differential Equations
Module 22 Complex numbers
Unit 71 Modelling with FirstOrder Differential Equations
Unit 72 Imaginary and Complex Numbers
Unit 73 Multiplying Complex Numbers
Unit 74 Complex Conjugation
Unit 75 Roots of Quadratic Equation
Unit 76 Solving Cubic and Quartic Equations
Unit 77 Exponential Form of Complex Numbers
Unit 78 Multiplying and Dividing Complex Numbers
Unit 79 De Moivre's Theorem
Unit 80 Trigonometric Identities
Unit 82 Sum of series with Complex Number
Unit 83 nth Roots of a Complex Number
Unit 84 Solving Geometric Problems Using nth Roots
Module 23 Volumes of revolution
Unit 85 Volumes of revolution around the xaxis
Unit 86 Volumes of revolution around the yaxis
Unit 87 Adding and subtracting volumes
Unit 88 Volumes of Revolution of Parametrically Defined Curves
Unit 89 Modelling with volumes of revolution
Module 24 Hyperbolic functions
Unit 90 Introduction of Hyperbolic Functions
Unit 91 Inverse Hyperbolic Functions
Unit 92 Identities and Equations
Unit 93 Differentiating Hyperbolic Functions
Unit 94 Integrating Hyperbolic Functions
Module 25 Methods in Differential Equations
Unit 95 FirstOrder DE’s – Solving General Solution
Unit 96 First Order DE’s  Sketching Members of the Family of Solution Curves
Unit 97 First Order DE’s  Solving Exact Equations
Unit 98 Solving First Order Linear DE’s by Multip.by an Integ. Factor
Unit 99 Second Order Homogenous Differential Equations
Unit 100 SecondOrder NonHomogenous Differential Equations
Unit 101 Solving Second Order DE’s  Using boundary conditions
Module 26 Modelling with Differential Equations
Unit 101 Modelling with FirstOrder Differential Equations
Unit 102 Simple Harmonic Motion
Unit 103 Damped and Forced Harmonic Motion
Unit 104 Coupled FirstOrder Simultaneous Differential Equations
Module 27 Matrices
Unit 105 Introduction to matrices
Unit 106 Matrix multiplication
Unit 107 Determinants
Unit 108 Inverting 2x2 matrix
Unit 109 Inverting 3x3 matrix
Unit 110 Solving systems of equations using matrices
Module 28 Linear Transformation Using Matrices
Unit 111 Linear transformations in two dimensions
Unit 112 Reflections and rotations
Unit 113 Enlargements and stretches
Unit 114 Successive transformations
Unit 115 Linear transformation in three dimensions
Unit 116 The inverse of a linear transformation
Module 289 Polar coordinate systems
Unit 117 Convert expressions from Cartesian coordinates to polar coordinates and vice versa
Unit 118 Plot the graphs of polar curves
Unit 119 Recognize equations of standard polar curves
Unit 120 Evaluate the areas enclosed by polar curves
Unit 121 Evaluate The volumes of revolution generated by polar curves
Unit 122 Evaluate the lengths of polar curves
Unit 123 Evaluate the surface of revolution generated by polar curves
Module 29 Further Matrix
Unit 124 Finding Eigenvalues and Eigenvector of 2 X 2 and 3 X 3
Unit 125 Reducing a Symmetrical Matrix to Diagonal Form
Playlist name: Integration Limits of Functions
Level: University Foundation Year
Subject: Pure Maths
Topic: Limits of Functions
Playlist name: Statistical Distribution
Level: University Foundation Year
Subject: Further Statistics
Topic: The Binomial Distribution
Module 1: Data Collection
Unit 1 Populations and Samples
Unit 2 Sampling
Unit 3 NonRandom Sampling
Unit 4 Types of data
Unit 5 The Large Data Set
Module 2: Measures of Location and Spread
Unit 6 Measure of Central Tendency
Unit 7 Other Measures of Location
Unit 8 Measures of spread
Unit 9 Variance and standard deviation
Unit 10 Coding
Module 3: Representations of Data
Unit 11 Outliers
Unit 12 Box plots
Unit 13 Cumulative Frequency
Unit 14 Histogram
Unit 15 Comparing Data
Module 4: Correlations
Unit 16 Correlation
Unit 17 Linear Regression
Module 5 Probability
Unit 18 Calculating Probabilities
Unit 19 Venn Diagrams
Unit 20 Mutually Exclusive and Independent Events
Unit 21 Tree Diagrams
Module 6 Statistical distribution
Unit 22 Probability Distributions
Unit 23 The Binomial Distribution
Unit 24 Cumulative Probability
Module 7 Regression, Correlation and Hypothesis Testing
Unit 19 Partial fractions
Unit 25 Exponential Models
Unit 26 Measuring Correlation
Unit 27 Hypothesis Testing for Zero Correlation
Module 8 Conditional Probability
Unit 28 Set Notation
Unit 29 Conditional Probability
Unit 30 Conditional Probabilities in Venn Diagrams
Unit 31 Probability Formulae
Unit 32 Tree Diagrams
Module 10 Discrete random variables
Unit 40 Expected value of a discrete random variable
Unit 41 Variance of a discrete random variable
Unit 42 Expected value and variance of a function of X
Unit 43 Solving problems involving random variables
Module 11 Poisson distributions
Unit 44 The Poisson distribution
Unit 45 Modelling with the Poisson distribution
Unit 46 Adding Poisson distribution
Unit 47 Mean and variance of a Poisson distribution
Unit 48 Mean and variance of binomial distribution
Unit 49 Using the Poisson distribution to approximate the binomial distribution
Module 12 Geometric and negative binomial distributions
Unit 50 The geometric distribution
Unit 51 Mean and variance of a geometric distribution
Unit 52 The negative binomial distribution
Unit 53 Mean and variance of the negative binomial distribution
Module 13 Hypothesis Testing
Unit 54 Testing for the mean of a Poisson distribution
Unit 55 Finding critical regions for Poisson distribution
Unit 56 Hypothesis testing for the parameter p of a geometric distribution
Unit 57 Finding critical regions for a geometric distribution
Module 14 Central limit theorem
Unit 58 The central limit theorem
Unit 59 Applying the central limit theorem to other distributions
Module 15 Chisquared tests
Unit 60 Goodness of fit
Unit 61 Degrees of freedom and the chisquared family of distributions
Unit 62 Testing a hypothesis
Unit 63 Testing the goodness of fit with discrete data
Unit 64 Using contingency tables
Unit 65 Apply goodnessoffit tests to geometric distributions
Module 16 Probability generating functions
Unit 66 Probability generating functions
Unit 67 Probability generating functions of standard distributions
Unit 68 Mean and variance of a distribution
Unit 69 Sums of independent random variables
Module 17 Quality of tests
Unit 70 Type  and Type  errors
Unit 71 Finding Type  and Type  Errors using the normal distribution
Unit 72 Calculating the size and the power of a test
Unit 73 The power function
Module 18 Further Linear regression
Unit 74 Least squares linear regression
Unit 75 Residuals
Module 19 Further Correlation
Unit 76 The product moment correlation coefficient
Unit 77 Spearman's rank correlation coefficient
Unit 78 Hypothesis testing for zero correlation
Module 20 Continuous distributions
Unit 79 Continuous random variables
Unit 80 The cumulative distribution function
Unit 81 Mean and variance of a continuous distribution
Unit 82 Mode, median, percentiles and skewness
Unit 83 The continuous uniform distribution
Unit 84 Modelling with the continuous uniform distribution
Module 21 Combinations of random variables
Unit 85 Combination of random variables
Module 22 Estimation, confidence intervals and tests using a normal distribution
Unit 86 Estimators, bias and standard error
Unit 87 Confidence intervals
Unit 88 Hypothesis testing for the difference between means
Unit 89 Use of large sample results for an unknown population
Module 23 Further hypothesis tests
Unit 90 Variance of a normal distribution
Unit 91 Hypothesis testing for the variance of a normal distribution
Unit 92 The Fdistribution
Unit 93 The Ftest
Module 24 Confidence intervals and tests using the tdistribution
Unit 94 Mean of a normal distribution with unknown variance
Unit 95 Hypothesis test for the mean of a normal distribution with unknown variance
Unit 96 The paired ttest
Unit 97 Difference between means of two independent normal distributions
Unit 98 Hypothesis test for the difference between means
TOC  Maths Modules for UK University Foundation Year
Statistics
Playlist name: Matrices
Level: University Foundation Year
Subject: Core Pure Maths
Topic: Eigenvalues and Eigenvectors
Playlist name: Forces and Motion
Level: University Foundation Year
Subject: Mechanics
Topic: Pulleys
TOC  Maths Modules for UK University Foundation Year
Mechanics
Module 1 Modelling in Mechanics
Unit 1 Constructing a Model
Unit 2 Modelling Assumptions
Unit 3 Quantities and Units
Unit 4 Working with Vectors
Unit 2 Constant Acceleration
Unit 5 DisplacementTime Graph
Unit 6 VelocityTime Graph
Unit 7 Constant Acceleration Formulae 1
Unit 8 Constant Acceleration Formulae 2
Unit 9 Vertical Motion Under Gravity
Unit 3 Forces and Motion
Unit 10 Force Diagrams
Unit 11 Forces as Vectors
Unit 12 Forces and Acceleration
Unit 13 Motion in 2 dimensions
Unit 14 Connected Particles
Unit 15 Pulleys
Unit 4 Variable Acceleration
Unit 16 Function of Time
Unit 17 Using Differentiation
Unit 18 Maxima and Minima Problems
Unit 19 Using Integration
Unit 20 Constant Acceleration Formulae
Unit 5 Moments
Unit 21 Moments
Unit 22 Resultant Moments
Unit 23 Equilibrium
Unit 24 Centers of Mass
Unit 25 Tilting
Unit 6 Forces and Friction
Unit 26 Resolving Forces
Unit 27 Inclined Planes
Unit 28 Friction
Unit 7 Projectiles
Unit 29 Horizontal Projection
Unit 30 Horizontal and Vertical Components
Unit 31 Projection at an Angle
Unit 32 Projectile Motion Formulae
Unit 8 Applications of Forces
Unit 33 Static Particles
Unit 34 Modeling With Statics
Unit 35 Friction and Static Particles
Unit 36 Static Rigid Bodies
Unit 37 Dynamics and Inclined Planes
Unit 38 Connected Particles
Unit 9 Further Kinematics
Unit 39 Vectors in Kinematics
Unit 40 Vector Methods With Projectiles
Unit 41 Variable Acceleration in One Dimension
Unit 42 Differentiating Vectors
Unit 43 Integrating Vectors
Unit 10 Momentum and Impulse
Unit 44 Momentum in One Direction
Unit 45 Conservation of Momentum
Unit 46 Momentum as a Vector
Unit 11 Work, Energy, and Power
Unit 47 Work Done
Unit 48 Kinetic and Potential Energy
Unit 49 Conservation of Mechanical Energy and the WorkEnergy Principle
Unit 50 Power
Unit 12 Elastic Strings and Springs
Unit 51 Hooke's Law and Equilibrium Problems
Unit 52 Hooke's Law and Dynamics Problem
Unit 53 Elastic Energy
Unit 54 Problems Involving Elastic Energy
Unit 13 Elastic Collisions in One Dimension
Unit 55 Direct Impact and Newtons Law of Restitution
Unit 56 Direct Collision With a Smooth Plane
Unit 57 Loss of Kinetic Energy
Unit 58 Successive Direct Impacts
Unit 14 Elastic Collisions in Two Dimensions
Unit 59 Oblique Impact With a Fixed Surface
Unit 60 Successive Oblique Impacts
Unit 61 Oblique Impact of a Smooth Spheres
Unit 15 Circular Motion
Unit 62 Angular Speed
Unit 63 Acceleration of an Object Moving on a Horizontal Circular Path
Unit 64 ThreeDimensional Problems With Objects Moving in Horizontal Circles
Unit 65 Objects Moving in Vertical Circles
Unit 66 Objects Not Constrained on a Circular Path
Unit 15 Circular Motion
Unit 62 Angular Speed
Unit 63 Acceleration of an Object Moving on a Horizontal Circular Path
Unit 64 ThreeDimensional Problems With Objects Moving in Horizontal Circles
Unit 65 Objects Moving in Vertical Circles
Unit 66 Objects Not Constrained on a Circular Path
Unit 16 Centres of Mass of Plane Figures
Unit 67 Centres of Mass of a Set of Particles on a Straight Line
Unit 68 Centre of Mass of a Set of Particles Arranged in a Plane
Unit 69 Centres of Mass of Standard Uniform Plane Laminas
Unit 70 Centre of Mass of a Composite Lamina
Unit 71 Centre of Mass of a Framework
Unit 72 Centres of Mass of Standard Uniform Plane Laminas
Unit 73 Centre of Mass of a Composite Lamina
Unit 74 Centre of Mass of a Framework
Unit 17 Further Centres of Mass
Unit 75 Using Calculus to Find Centres of Mass
Unit 76 Centre of Mass of a Uniform Body
Unit 77 NonUniform Bodies
Unit 78 Rigid Bodies in Equilibrium
Unit 79 Toppling and Sliding
Unit 18 Kinematics
Unit 80 Acceleration Varying With Time
Unit 81 Acceleration Varying With Displacement
Unit 82 Acceleration Varying With Velocity
Unit 19 Dynamics
Unit 83 Motion in a Straight Line With Variable Forces
Unit 84 Newtons Law of Gravitation
Unit 85 Simple Harmonic Motion
Unit 86 Horizontal Oscillation
Unit 87 Vertical Oscillation
Playlist name: Simple Harmonic Motion
Level: University Foundation Year
Subject: Further Mechanics
Topic: Horizontal Oscillation
Playlist name: Vectors
Level: University Foundation Year
Subject: Pure Maths
Topic: Products of vectors
Here's What's Included in the
UK Maths University Foundation Year
Subscription Pack
1
All Pure Maths Courseware

Pure Mathematics 124 Different Topics

700+ Tutorial Videos

100s of Interactive Practice Questions

100s Autograded Homeworks & Assessments
*Common Features

Gradebooks & Performance Reports

Studentlecturer 2way Messaging Capability from within each specific assignment
2
All Statistics Courseware

Statistics, 98 Different Topics

500+ Tutorial Videos

100s of Interactive Practice Questions

100s Autograded Homeworks & Assessments

All common features stated in column 1
3
All Mechanics Courseware

Mechanics, 87 Different Topics

450+ Tutorial Videos

100s of Interactive Practice Questions

100s Autograded Homeworks & Assessments

All common features stated in column