PURE MATHS

 

 

PAGE CONTENTS

 

[differential calculus][integration][algebra][trigonometry]

[sequences & series][coordinate geometry][vectors]

 

DIFFERENTIAL CALCULUS

derivative formula

first principles
notation
the derivation formula

tangents & normals

tangents
normals
equation of a tangent
equation of a normal

maxima & minima

gradient change
locating a maximum or minimum
curve sketching

chain rule

the chain rule equation
rates of change

exponentials, logs

the exponential function ex
derivative of natural logs
problems of the type y=Nf(x)
graph comparison exp & log fns.

trigonometrical functions

summary
derivative of the sine function
derivative of the cosine function
derivative of the tangent function
derivative of the cosecant fn.
derivative of the secant function
derivative of the cotangent fn.

product rule

the Product Rule equation
example #1 #2 #3

quotient rule

the Quotient Rule equation
example #1 #2 #3

parametric equations

parametric form
example #1 #2 #3

implicit equations

explicit & implicit equations
example #1 #2 #3

differential equations

definition
example #1 #2
points of inflection (inflexion)

back to top

 

bookmark this page and return soon

copyright© 2011 a-levelmathstutor.com. All rights reserved

 

 

 

 

 

 

 

Sites for Teachers

 

your stop for the best in math, science & programming tutorials on the Net revision help to get a better result incremental success advanced physics for secondary/high school, including much in-depth content common to first year university courses your one stop for the best in math, science and programming tuition revision help for a better result incremental success advanced physics for high school/secondary and 1st year university fast-track learning for everyone

[ PURE MATHS ][ MECHANICS ][ STATISTICS ]

VIDEO

parametric differen.
equation of a tangent
equation of a normal
rate of change prob.1
rate of change prob.2
the Chain Rule
Chain Rule probs. #1
Chain Rule probs. #2
Chain Rule probs. #3
the Product Rule
parametric eqs.prob#1
parametric eqs.prob#2
intro. to integration
integration by parts 1
integration by parts 2
area under a curve
volumes of revolution
area between curves
Binomial Theorem
Bin. Theorem problems
Trig. Identities
Half Angle Formula
Double Angle Formula
Vectors,mod,resultant
Vector problems
Vector problems in 3D
MORE . . .
 

INTERACTIVE

 
derivative formula
tangents & normals
inverse functions
MORE . . .
 

EXAM PAPERS(.pdf)

 
Edxl C1 Pure specimen
Edxl C1 Pure answers
Edxl C2 Pure specimen
Edxl C2 Pure answers
Edxl C3 Pure specimen
Edxl C3 Pure answers
Edxl C4 Pure specimen
Edxl C4 Pure answers
MORE . . .

TOPIC NOTES(.pdf)

the derivative formula
tangents & normals
maxima & minima
chain rule
diffn.exponentials,logs
diffn.trigonometric fns.
product rule
quotient rule
parametric equations
implicit equations
differential equations
integration formula
int.'by substitution'
int.'by parts'
algebraic fractions
definite integrals
areas under curves
volumes of revolution
Trapezium Rule
integ. diff. equations
radians
sine, cosine, tangent
sec, cosec, cotan
Sine & Cosine Rules
Pythagorean ID's
compound angles
Sigma Notation
arithmetic progression
geometic progression
line between points
more straight lines
parametric equations
circles & ellipses
MORE . . .
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Google