Gracebickerstaff

Pure Mathematics This document includes summaries of key mathematical concepts and thought-out examples with corrections made where necessary A* achieved using these notes in 2022 exams Relevant to the Edexcel exam board • Integration General rules of functions • Integrating f(ax+b) • Trig integration rules • Reverse chain rule • Integration by parts • Partial fractions • Integration by substitution • Finding areas • Trapezium rules • Differe...

Pure Mathematics This document includes summaries of key mathematical concepts and thought-out examples with corrections made where necessary A* achieved using these notes in 2022 exams Relevant to the Edexcel exam board • Parametric equations • Cartesian equation • Locating roots • Cobweb diagrams • Numerical methods

Pure Mathematics This document includes summaries of key mathematical concepts and thought-out examples with corrections made where necessary A* achieved using these notes in 2022 exams Relevant to the Edexcel exam board DifferentiationY • Differentiating trigonometric equations • Differentiating exponentials and logarithms • The chain rule • The product rule • Parametric differentiation • Second derivative

Pure Mathematics This document includes summaries of key mathematical concepts and thought-out examples with corrections made where necessary A* achieved using these notes in 2022 exams Relevant to the Edexcel exam board • Trigonometric proof • Inverse trigonometric functions • Additional formula • Double angle formulae • Several examples

Pure Mathematics This document includes summaries of key mathematical concepts and thought-out examples with corrections made where necessary A* achieved using these notes in 2022 exams Relevant to the Edexcel exam board • Radians • Arc length and area • Trigonometric reciprocals – secx, cosecx, cotx

Pure Mathematics This document includes summaries of key mathematical concepts and thought-out examples with corrections made where necessary A* achieved using these notes in 2022 exams Relevant to the Edexcel exam board • Arithmetic series and sequences • Geometric sequences and series • Sigma notation • Recurrence relations • Year 13 Binomial Expansion • Year 13 Partial Functions

Pure Mathematics This document includes summaries of key mathematical concepts and thought-out examples with corrections made where necessary A* achieved using these notes in 2022 exams Relevant to the Edexcel exam board Functions Y13 • Functions and graphs • Solving modulus equations • Solving ranges of functions • Piecewise defined function • Sketching functions FunctionQ • Specifying the range of functions worked examples

Pure Mathematics This document includes summaries of key mathematical concepts and thought-out examples with corrections made where necessary A* achieved using these notes in 2022 exams Relevant to the Edexcel exam board • Partial functions • Repeated factors • Proof by contradiction • Extensive examples

Pure Mathematics This document includes summaries of key mathematical concepts and thought-out examples with corrections made where necessary A* achieved using these notes in 2022 exams Relevant to the Edexcel exam board • Trigonometric rations • Trig Graphs (sin, cos, tan) • Angles in the four quadrants • Exact trigonometric ratio values • Simple trigonometric equations • Equations and identities

Pure Mathematics This document includes summaries of key mathematical concepts and thought-out examples with corrections made where necessary A* achieved using these notes in 2022 exams Relevant to the Edexcel exam board • Mathematical Proof • Algebraic functions • Dividing polynomials • Equating coefficients • Factor theorem • Pascal’s triangle • Factorial notation • Binomial expansion • Binomial estimations