A Level Maths Notes: C4



Differentiation – Product, Quotient and Chain Rules

Trigonometry

Converting Parametric Equations to Cartesian Form

Differential Equations – Separating Variables

Finding the Vector Equation of a Line Passing Through Two Given Points

Integrating when x and y are in Parametric Form

Parametric Coordinates – Equations of Tangents and Normals

The General Binomial Theorem

Angles Between Vectors and Lines

Changing Between Cartesian and Vector Forms of Equations of Lines in Three Dimensions

Finding the Equation of a Plane From Three Points

Finding the Equation of a Perpendicular to a Plane Passing Through a Given Point

Finding the Equation Passing Through a Given Point Perpendicular to a Given Vector

Finding The Line of Intersection of Two Planes

Finding the Point of Intersection of Two Lines in Three Dimensions

Partial Fractions

Partial Fractions - Examples

The Logistic Equation

Long division of Polynomials

Interval of Convergence of Partial Fractions

Integrating Quotients of Algebraic Expressions

Integrating Reciprocals of Linear Expressions By Rearrangement

The Product of Two Binomial Expansions

Differentiating Exponentials When the Base is Not e

Implicit Differentiation

Integration By Parts

Integration By Substitution

Rates of Change

Solids or Volumes of Revolution

The Trapezium Rule

The Factor Theorem

The Binomial Theorem and Estimation

The Remainder Theorem

Proving Trigonometric Identities

Finding the Minimum Distance Between A Point and a Line

Finding the Point of Intersection of a Line With a Plane

Integrating Products of Multiple Angle Trigonometric Formulae


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