Unit 1: Surds, Algebra, Functions and Probability - Mathematics

You are not currently logged in. Please create an account or log in to view the full course.

Contents

Topic 1: Surds and Quadratic Functions

Topic 2: Binomial Expansion and Cubic Functions

Topic 3: Functions and Relations

Topic 4: Trigonometric Functions

Topic 5: Probability

Topic 1: Surds and Quadratic Functions

ALGEBRA AND FUNCTIONS I – EDEXCEL (9MA0)

Indices

Dr Niki Kalaydzhieva, UCL

ALGEBRA AND FUNCTIONS I – EDEXCEL (9MA0)

Fractional and Negative Indices

Dr Niki Kalaydzhieva, UCL

ALGEBRA AND FUNCTIONS I – EDEXCEL (9MA0)

Expanding Brackets and Factorising

Dr Niki Kalaydzhieva, UCL

ALGEBRA AND FUNCTIONS I – EDEXCEL (9MA0)

Factorising Quadratic Expressions

Dr Niki Kalaydzhieva, UCL

ALGEBRA AND FUNCTIONS I – EDEXCEL (9MA0)

Surds

Dr Niki Kalaydzhieva, UCL

ALGEBRA AND FUNCTIONS I – EDEXCEL (9MA0)

Rationalising the Denominator

Dr Niki Kalaydzhieva, UCL

ALGEBRA AND FUNCTIONS II – EDEXCEL (9MA0)

Quadratic Equations

Dr Niki Kalaydzhieva, UCL

ALGEBRA AND FUNCTIONS II – EDEXCEL (9MA0)

Solving Quadratic Equations by Completing the Square

Dr Niki Kalaydzhieva, UCL

ALGEBRA AND FUNCTIONS II – EDEXCEL (9MA0)

The Discriminant

Dr Niki Kalaydzhieva, UCL

ALGEBRA AND FUNCTIONS II – EDEXCEL (9MA0)

Quadratic Functions

Dr Niki Kalaydzhieva, UCL

ALGEBRA AND FUNCTIONS II – EDEXCEL (9MA0)

Quadratic Graphs

Dr Niki Kalaydzhieva, UCL

Topic 2: Binomial Expansion and Cubic Functions

ALGEBRA AND FUNCTIONS I – EDEXCEL (9MA0)

Factorising Higher-Power Expressions

Dr Niki Kalaydzhieva, UCL

GRAPHS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Graphing Cubic Functions

Prof. Keith Ball, Warwick University

Topic 3: Functions and Relations

GRAPHS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Graphing Quadratic Functions

Prof. Keith Ball, Warwick University

GRAPHS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Intercepts and Roots of Quadratic Equations

Prof. Keith Ball, Warwick University

GRAPHS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Turning Points of Quadratic Functions

Prof. Keith Ball, Warwick University

GRAPHS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Graphing Cubic Functions

Prof. Keith Ball, Warwick University

GRAPHS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Graphing the Reciprocal Function

Prof. Keith Ball, Warwick University

GRAPHS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Translations and Reflections of Graphs

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Straight-Line Graphs in Real Contexts

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Distance-Time Graphs

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Velocity and Acceleration in Distance-Time Graphs

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Equations of Circles

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Tangents to Circles

Prof. Keith Ball, Warwick University

Topic 4: Trigonometric Functions

GRAPHS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Graphing Trigonometric Functions

Prof. Keith Ball, Warwick University

Topic 5: Probability

PROBABILITY I – EDEXCEL GCSE (1MA1): HIGHER TIER

Introduction to Probability

Dr Sunil Chhita, Durham University

PROBABILITY I – EDEXCEL GCSE (1MA1): HIGHER TIER

Frequency Tables and Frequency Trees

Dr Sunil Chhita, Durham University

PROBABILITY I – EDEXCEL GCSE (1MA1): HIGHER TIER

Randomness, Fairness, and Equally Likely Events

Dr Sunil Chhita, Durham University

PROBABILITY I – EDEXCEL GCSE (1MA1): HIGHER TIER

Relative Expected Frequencies vs. Theoretical Probabilities

Dr Sunil Chhita, Durham University

PROBABILITY I – EDEXCEL GCSE (1MA1): HIGHER TIER

Exhaustive Sets of Outcomes and Mutually Exclusive Events

Dr Sunil Chhita, Durham University

PROBABILITY I – EDEXCEL GCSE (1MA1): HIGHER TIER

Theoretical Probability Distributions

Dr Sunil Chhita, Durham University

PROBABILITY II – EDEXCEL GCSE (1MA1): HIGHER TIER

Introduction to Set Notation

Dr Sunil Chhita, Durham University

PROBABILITY II – EDEXCEL GCSE (1MA1): HIGHER TIER

Venn Diagrams

Dr Sunil Chhita, Durham University

PROBABILITY II – EDEXCEL GCSE (1MA1): HIGHER TIER

Theoretical Probability Spaces

Dr Sunil Chhita, Durham University

PROBABILITY II – EDEXCEL GCSE (1MA1): HIGHER TIER

Independent and Dependent Combined Events

Dr Sunil Chhita, Durham University

PROBABILITY II – EDEXCEL GCSE (1MA1): HIGHER TIER

Conditional Probability

Dr Sunil Chhita, Durham University

PROBABILITY II – EDEXCEL GCSE (1MA1): HIGHER TIER

Applications of Probability in Covid Testing

Dr Sunil Chhita, Durham University