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All my Edexcel A level pure maths summary notes

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Includes methods, notes and more so help with understanding pure maths and is highlighted to improve focus whilst studying.

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SUBJECT: LECTURE: DATE:

IMPORTANT (equations, laws, etc.)



coordinate geometry thediscriminant
Algebra algebraicdivision
factor theorum
NOTES

Coordinategeometry
y y mix E É hemhÉoffindingpolynomialfactors
Lineequation y mate IMPORTANTtostate pl.isafactor
fffothenlx
Perpendiculargradient ORif x p is afactorflp 0
ÉÉimi.in
a iiiiiaiiaiion
3 Ifvalueisostatebc

E 4 nlisafactor IE
1513
1412539
Thediscriminant
b t4ac 0




comparingcoefficients

13 72 71 190 200 0 8 tbIt4xtd




Algebraicdivision
Usedin factorising cubicspolynomialspartialfractions
topheavy fractions

, SUBJECT: LECTURE: DATE:

IMPORTANT (equations, laws, etc.)


gradients
tangents
Differentiation
normals
NOTES

Differentiation
Heshowstheequationofthegradient
0 isincreasing
8
4 0 is aminimum

8 co is a maximum

METHODmultiply
bythepoweranddecreaseitby1
Tangentsandnormals

Ersnhtihar.gr ientI innormal


YEFriTentiateequation
2 Subin x tofindgradient
3Uselineruletogetequation

, SUBJECT: LECTURE: DATE:

IMPORTANT (equations, laws, etc.)



method area under curve

Integration
boundaries betweencurves

NOTES

Integration
Oppositeofdifferentiation
ConstantofintegrationrequiredItc
Addonetothepoweranddividecoefficientbypower

f104dx

Boundaryconditions
Theintegralisbindedbytwo x coordinates
WecanfindtheconstantofaccelerationwithXSycoordinates

FEIEEE.ae
2 Substitutein x andyvalues
3 find andrewriteequation

Findingareas

Area you
Tofindareasbelowtabovethe x axisyoumustintegrate
separatelywith
differentboundaries

Areabetweentwocurves
Curveand a line


Étrate
curveequationbetweenbounds
2 Integratelineequationbetweenbounds
3 Minusonefromtheotherappropriately

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July 15, 2024
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