OCR AS Further Mathematics Formula Booklet

L6 FM Mock Teacher X 18-19 L6 FM Mock Teacher X 18-19 SOLUTIONS

L6 FM Mock Teacher Y 18-19 L6 FM Mock Teacher Y 18-19 SOLUTIONS

L6 FM Mock Teacher X 19-20 L6 FM Mock Teacher X 19-20 SOLUTIONS

L6 FM Mock Teacher Y 19-20 L6 FM Mock Teacher Y_19-20 SOLUTIONS

Matrix arithmetic

Matrix multiplication

Determinants of 2 by 2 matrices

Inverse_of_2_by_2_matrices

Determinant and inverse of 3 by 3 matrices

Linear simultaneous equations

Matrices as linear transformations

Further transformations in 2-D

Invariant points and invariant lines

Transformations in 3-D

X1 (Pre-TT A) Matrices X1 (Pre-TT A) Matrices MS

X1 (Pre-TT B) Matrices X1 (Pre-TT B) Matrices MS

X1 (Post-TT A) Matrices X1 (Post-TT A) Matrices MS

X1 (Post-TT B) Matrices X1 (Post-TT B) Matrices MS

Vector equation of a line

Cartesian equation of a line

Intersection of two lines

Scalar product and angles

Vector product

Induction and matrices

Induction and divisibility

Induction and inequalities

X2 (Pre-TT A) Vectors and induction

X2 (Pre-TT A) Vectors and induction MS

X2 (Pre-TT B) Vectors and induction

X2 (Pre-TT B) Vectors and induction MS

X2 (Post-TT A) Vectors and induction

X2 (Post-TT A) Vectors and induction MS

X2 (Post-TT B) Vectors and induction

X2 (Post-TT B) Vectors and induction MS

Work done by a force

Kinetic energy and the work-energy principle

PE, ME and the conservation of mechanical energy

Work done by a force at an angle

Power

Defining and calculating dimensions

Units and dimensions of sums and products

Finding dimensions from units and derivatives

Momentum and impulse

Collisions and conservation of momentum

Coefficient of restitution

Impulsive tension in strings

Linear speed vs. angular speed

Acceleration in horizontal circular motion

Conical pendulums

Banked tracks

Motion in a vertical circle

Components of acceleration (general model) A2

Problem solving with circular motion

X3 (Pre-TT A) Mechanics X3 (Pre-TT A) Mechanics MS

X3 (Pre-TT B) Mechanics X3 (Pre-TT B) Mechanics MS

X3 (Post-TT A) Mechanics X3 (Post-TT A) Mechanics MS

X3 (Post-TT B) Mechanics X3 (Post-TT B) Mechanics MS

OCR SAM Paper 1 (Pure) MS

OCR SAM Paper 2 (Statistics) MS

OCR SAM Paper 3 (Mechanics) MS

PP Set 1 Paper 1 (Pure) MS

PP Set 1 Paper 2 (Statistics) MS

PP Set 1 Paper 3 (Mechanics) MS

PP Set 2 Paper 1 (Pure) MS

PP Set 2 Paper 2 (Statistics) MS

PP Set 2 Paper 3 (Mechanics) MS

May 2018 Paper 1 (Pure) MS

May 2018 Paper 2 (Statistics) MS

May 2018 Paper 3 (Mechanics) MS

roots of polynomials

Introduction to Complex Numbers

Division and Complex Conjugates

Argand Diagram

Modulus of a Complex Number and Radians

Modulus-Argument Form of a Complex Number

Loci in the Argand Diagram

Operations in Modulus-Argument Form

Factorising Polynomials

Complex Solutions to Polynomials

Sum and Product of Roots (Quadratics)

Cubic and Quartic Equations

Finding an Equation with Given Roots

Transforming Equations

Y1 (Pre-TT A) Complex numbers & roots of equations

Y1 (Pre-TT A) Complex numbers & roots of equations MS

Y1 (Pre-TT B) Complex numbers & roots of equations

Y1 (Pre-TT B) Complex numbers & roots of equations MS

Y1 (Post-TT A) Complex numbers & roots of equations

Y1 (Post-TT A) Complex numbers & roots of equations MS

Y1 (Post-TT B) Complex numbers & roots of equations

Y1 (Post-TT B) Complex numbers & roots of equations MS

probability distributions

Product and Addition Principles

Permutations

Permutations with Limited Places

Combinations

The Exclusion Principle

Keeping Objects Together or Separated

Permuting Objects with Repetitions

Counting Principles and Probability

Standard Deviation (AS Ma)

Probability Distributions (AS Ma)

Average and Spread of Discrete Random Variables

Transformations of Discrete Random Variables

Discrete Uniform Distributions

Binomial Distribution (AS Ma)

Mean and Variance of Binomial Distribution

Geometric Distributions

Introduction to the Poisson Distrubution

Poission Distribution (worded questions)

Y2 (Pre-TT A) Counting principles & probability distributions

Y2 (Pre-TT A) Counting principles & probability distributions MS

Y2 (Pre-TT B) Counting principles & probability distributions

Y2 (Pre-TT B) Counting principles & probability distributions MS

Y2 (Post-TT A) Counting principles & probability distributions

Y2 (Post-TT A) Counting principles & probability distributions MS

Y2 (Post-TT B) Counting principles & probability distributions

Y2 (Post-TT B) Counting principles & probability distributions MS

chi-squared tests

Pearson's Product Moment Correlation Coefficient

Introduction to Hypothesis Testing

PMCC and Hypothesis Testing

Spearman's Rank Correlation Coefficient

Linear Regression

Contingency Tables

Yates' Correction for 2 by 2 Tables

Goodness-of-Fit Tests

Y3 (Pre-TT A) Correlation, regression & chi-squared tests

Y3 (Pre-TT A) Correlation, regression & chi-squared tests MS

Y3 (Pre-TT B) Correlation, regression & chi-squared tests

Y3 (Pre-TT B) Correlation, regression & chi-squared tests MS

Y3 (Post-TT A) Correlation, regression & chi-squared tests

Y3 (Post-TT A) Correlation, regression & chi-squared tests MS

Y3 (Post-TT B) Correlation, regression & chi-squared tests

Y3 (Post-TT B) Correlation, regression & chi-squared tests MS

Edexcel AS FM SAM QP and MS

Specimen Paper 1 (Pure) MS

Specimen Paper 23 (Statistics) MS

Specimen Paper 25 (Mechanics) MS

May 2018 Paper 1 (Pure) MS

May 2018 Paper 23 (Statistics) MS

May 2018 Paper 25 (Mechanics) MS

AQA AS FM SAM Paper 1 (Pure) MS

AQA AS FM SAM Paper 2S (Statistics) MS

AQA AS FM SAM Paper 2M (Mechanics) MS

May 2018 Paper 1 (Pure) MS

May 2018 Paper 2S (Statistics) MS

May 2018 Paper 2M (Mechanics) MS

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