Summary
All my Edexcel A level pure maths summary notes
- Module
- Pure Mathematics
- Institution
- PEARSON (PEARSON)
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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