A Level Maths Notes: FP1
Summation of Series and Telescoping Series
Manipulation of Factorials
Standard Expressions for Sums of Powers of Integers
Factorising Polynomials With Complex Roots
Finding the Equations of Tangents and Normals to Parametric Curves
Multiplying and Dividing Complex Numbers
Parametric Coordinates – Converting Between Rectangular or Cartesian and Parametric Form
Argand Diagrams – Polar and Coordinate Forms of Complex Numbers
Properties of Summation
Series – Standard Expressions for Sums of Powers of Integers
Solving Differential Equations – The Integrating Factor Method
Summation of Polynomial Series
The Fundamental Theorem of Algebra
The Newton Raphson Method of Finding Roots Equations
Transforming Differential Equations
Integration on Polar Coordinates
Solving More Advanced Inequalities
Linear Interpolation
Solving Second Order Linear Homogeneous Differential Equations
Algebraic Method For Finding the Square Roots of Complex Numbers
Solving Second Order Linear Non – Homogeneous Differential Equations
Advanced Inequalities
Finding the Area Between Two Curves in Polar Coordinates
Finding Turning Points of Polar Curves
Integration in Polar Coordinates
Proof by Induction
The Definition of Constant Coefficient Linear Homogeneous, Linear Non Homogeneous, Non Linear Homogeneous and Non Linear Non Homogeneous Second Order Differential Equations
Sketching Curves in Polar Coordinates
Roots of Polynomial Equations With Real Coefficients
Transforming a Non Separable into a Separable Differential Equation
2x2 Matrices – Sums, Products, Determinants and Inverses
Recurrence Relations and Closed Forms
Transforming and Solving Non Linear, Non Homogeneous Differential Equations
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