UK Year 13 Mathematics (A Levels)

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UK Year 13 Mathematics (A Levels)

Introduction to Vectors

Vectors (0)

Magnitude of a Vector (0)

Direction and Angle of a Vector (0)

Vector Arithmetic (0)

Functions

Domain and Range (0)

Identifying Functions (0)

Evaluating Functions (0)

Function Notation (0)

Adding and Subtracting Functions (0)

Multiplying and Dividing Functions (0)

Graph of a Function (0)

Equation of a Function (0)

Complete a Table and Graph a Function (0)

Composite Functions (0)

Inverse Functions (0)

Injective Functions (0)

Function Transformations

Horizontal Transformations (0)

Vertical Transformations (0)

Reflections Across the x-axis (0)

Reflections Across the y-axis (0)

Horizontal Stretch (0)

Vertical Stretch (0)

Combining Function Transformations (0)

Even and Odd Functions (0)

Quadratic Equations and Inequalities

Solving Quadratic Equations by Factorisation (0)

Solving Quadratic Equations by Using Square Roots (0)

Solving Quadratic Equations by Completing the Square (0)

Solving Quadratic Equations using Quadratic Formula (0)

Nature of Roots of Quadratic Equations (0)

Real World Examples of Quadratic Equations (0)

Solving Quadratic Inequalities (0)

Quadratic Functions

Properties of Quadratic Functions (0)

Finding the Max/Min Value of a Quadratic Function (0)

Graphs of Quadratic Functions (0)

Transformations of Quadratic Functions (0)

General Forms of Quadratic Functions (0)

Standard Forms of Quadratic Functions (0)

Vertex Forms of Quadratic Functions (0)

Applications of Quadratic Functions (0)

Polynomial Functions

Introduction to Polynomial Functions (0)

Graphs of Polynomial Functions (10)

Turning Points of Polynomial Functions (0)

Long Division of Polynomials (0)

Synthetic Division of Polynomials (0)

Polynomial Function Theorems (0)

Zeros and Multiplicities of Polynomial Functions (0)

Finding the Equations of a Polynomial Function (0)

Polynomial Functions and its Applications (0)

Rational Functions

Introduction to Rational Functions (0)

Point of Discontinuity (0)

Vertical Asymptote (0)

Horizontal Asymptote (0)

Slant Asymptote (0)

Rational Equations (24)

Graphs of Rational Functions (0)

Rational Inequalities (1)

Exponential Functions

Rules of Exponents (0)

Negative Exponents (0)

Zero Exponents (0)

Rational Exponents (0)

Using Rules of Exponent to Solve Exponential Equations (0)

Graphs of Exponential Functions (0)

Graphs of Transformations of Exponential Functions (0)

Finding Exponential Functions From Graphs (9)

Logarithmic Functions

Introduction to Logarithmic Functions (0)

Converting from Logarithmic Form to Exponential Form (0)

Evaluating Logarithm Functions (0)

Evaluating Logarithms using Change-of-Base Formula (0)

Converting from Exponential Form to Logarithmic Form (0)

Common and Natural Logarithms (0)

Logarithmic Rules (0)

Evaluating Logarithms with Logarithm Rules (0)

Logarithmic Equations (15)

Graph of Logarithmic Functions (0)

Find a Logarithmic Function from a Graph (0)

Radical Functions and Equations

Introduction to Radical Functions (0)

Roots and Radicals (2)

Simplifying Radical Expressions (0)

Adding and Subtracting Radical Expressions (0)

Multiplying and Dividing Radical Expressions (0)

Rational Exponents (0)

Radical Equations (17)

Performing Operations with Complex Numbers (0)

More Problems on Radical Functions and Equations (0)

Simultaneous Equations

Solving Simultaneous Equations (0)

Solving Simultaneous Equations by Graphing (0)

Solving Simultaneous Equations by Elimination (0)

Solving Simultaneous Equations by Substitution (1)

Non-linear Simultaneous Equations (0)

Solving Simultaneous Equations with Distance and Time (0)

Word Problems on Simultaneous Equations (0)

Trigonometry

Trigonometric Ratios Sine, Cosine and Tangent (0)

Pythagoras' Theorem (0)

Special Right Triangles (0)

Reciprocal Trigonometric Ratios Cosecant, Secant and Cotangent (0)

The Sine and Cosine Rule (0)

Converting Degrees to Radians (0)

Area of a Triangle Sine Rule (0)

Area of a Triangle Heron's Formula (0)

Trigonometric Ratios of an Angle (Radians) (0)

Trigonometric Graphs (0)

Bearings (0)

Bearings and Direction (0)

Angles of Elevation and Depression (0)

Trigonometric Functions

Graph of Sine: y = sin(x) (0)

Graph of Cosine: y = cos(x) (0)

Graph of Tangent: y = tan(x) (0)

Graph of Cotangent: y = cot(x) (0)

Graph of Secant: y = sec(x) (0)

Graph of Cosecant: y = csc(x) (0)

Graphing Trigonometric Functions Transformations (0)

Finding Trigonometric Functions from a Graph (0)

Trigonometric Identities

Reciprocal and Quotient Identities (0)

Pythagorean Identities (0)

Ratio Identities (0)

Opposite Angle Identities (0)

Complementary Angles Identities (0)

Angle Sum and Difference Identities (0)

Cofunction Identities (0)

Double Angle Identities (0)

Triangle Identities (1)

Problems on Trigonometric Identities (0)

Circles and Parabolas

Properties of Circles (0)

Equation of a Circle (0)

Sketching a Circle (0)

Properties of Parabolas (1)

Equation of a Parabola (0)

Focus of a Parabola (0)

Conics (0)

Integrals

Definite Integrals (0)

Indefinite Integrals (68)