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Interactive ASA2 - C1 Core, C2 Core
Notation
1. Algebra and functions
2. Functions
3. Sequences and series
4. Trigonometry
5. Exponentials and logarithms
6. Differentiation
7. Integration
8. Numerical methods
Summary
Examination paper
visit the graph centre
Glossary of terms

A amplitude asymptote B binomial expansion C chord collinear commutative completing the square cosecant cubic D definite integral derivative differential equation discontinuity discriminant double angle formulae E even function exponential function F factorisation factorial I implicit equation L local maximum local minimum locus logarithm M modulus N normal O odd function P parametric equations periodic point of inflexion polynomial R reciprocal T tangent transformation translation trigonometry turning point V variable


return to topNotation
functions, operators webEQ interactive equations
 
return to top1. Algebra and functions
Rational expressions simplifying webEQ interactive equations
multiplying and dividing webEQ interactive equations
adding and subtracting webEQ interactive equations
exam question Hot Potatoes
exam question 2001 Hot Potatoes
exam question Hot Potatoes
exam question 2002 Hot Potatoes
exam question 2003 Hot Potatoes
exam question 2003 Hot Potatoes
exam question 2003 Hot Potatoes
 
return to top2. Functions
Functions function notation webEQ interactive equations
evaluating Hot Potatoes
substituting Hot Potatoes
values of functions 1 webEQ interactive equations
values of functions 2 webEQ interactive equations
values of functions 3 webEQ interactive equations
composition of functions 1 JavaMath interactive graphs
composition of functions 2 JavaMath interactive graphs
domain and range 1 Cinderella interactive graphs
domain and range 2 JavaMath interactive graphs
domain and range 3 JavaMath interactive graphs
domain and range 4 JavaMath interactive graphs
odd and even functions JavaMath interactive graphs
functions and their inverses 1 JavaMath interactive graphs
functions and their inverses 2 JavaMath interactive graphs
exam question Hot Eqn
exam question Hot Eqn
exam question 2003 Hot Eqn
Cubic graphs y=ax3+bx2+cx+d JavaMath interactive graphs
a cubic curve JavaMath interactive graphs
y=(x-a)(x-b)(x-c) JavaMath interactive graphs OCR P1
Other curves other powers JavaMath interactive graphs OCR P1
various graphs JavaMath interactive graphs
Modulus graphs linear JavaMath interactive graphs
quadratic JavaMath interactive graphs
more modulus functions 1 JavaMath interactive graphs
more modulus functions 2 JavaMath interactive graphs
y=|f(x)| and y=f(|x|) JavaMath interactive graphs
exam question Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
Curve recognition test yourself 1 JavaScript interactive pages
test yourself 2 JavaMath interactive graphs
match them Hot Potatoes
Solving equations graphical solutions: linear Cinderella interactive graphs
graphical solutions: quadratic JavaMath interactive graphs
Transformations on
the graph of y = f(x)
y = af(x) JavaMath interactive graphs OCR P1
y = f(x-a) JavaMath interactive graphs OCR P1
y = f(x) + a JavaMath interactive graphs OCR P1
y = f(ax) JavaMath interactive graphs OCR P1
reflections Cinderella interactive graphs OCR P1
translations Cinderella interactive graphs OCR P1
applied to the sine curve 1 JavaMath interactive graphs OCR P1
applied to the sine curve 2 plane graphic calculator OCR P1
applied to the cubic curve 1 JavaMath interactive graphs OCR P1
applied to the cubic curve 2 plane graphic calculator OCR P1
spot the transformation JavaMath interactive graphs OCR P1
match the transformations Hot Potatoes OCR P1
extended problem problem P2.1 JavaMath interactive graphs
 
return to top3. Sequences and series
Recurrence relations un+1 = f(un) JavaScript interactive pages
exam question 2002 Hot Eqn
Binomial expansion the notation n! JavaScript interactive pages
the notation nCr JavaScript interactive pages
(1 + x)n JavaScript interactive pages
(a + b)n JavaScript interactive pages
exam question Hot Eqn
exam question 2001 Hot Eqn
exam question Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
 
return to top4. Trigonometry
The trig functions secant, cosecant and cotangent JavaMath interactive graphs AQA OCR WJEC NICCEA P3
arcsin, arccos and arctan JavaMath interactive graphs AQA OCR WJEC NICCEA P3
exam question Hot Eqn AQA OCR WJEC NICCEA P3
Identities 1 + tan2x = sec2x, cot2x + 1 = cosec2x webEQ interactive equations AQA OCR WJEC P3
double angle formulae webEQ interactive equations AQA OCR WJEC P3
exact values webEQ interactive equations AQA OCR WJEC P3
solving equations 1 Hot Eqn AQA OCR WJEC P3
solving equations 2 Hot Eqn AQA OCR WJEC P3
solving equations 3 webEQ interactive equations AQA OCR WJEC P3
adding trigonometrical functions a Java applet AQA OCR WJEC P3
a cos q + b sin q = Rcos (q ± a) webEQ interactive equations AQA OCR WJEC P3
a cos q + b sin q = Rsin (q ± a) webEQ interactive equations AQA OCR WJEC P3
memorise the identities JavaScript interactive pages AQA OCR WJEC P3
exam question Hot Eqn AQA OCR WJEC P3
exam question 2001 Hot Eqn AQA OCR WJEC P3
exam question 2002 Hot Eqn AQA OCR WJEC P3
Proving identities Proof 1 webEQ interactive equations AQA OCR WJEC P3
Proof 2 webEQ interactive equations AQA OCR WJEC P3
Proof 3 webEQ interactive equations AQA OCR WJEC P3
 
return to top5. Exponentials and logarithms
Exponentials e JavaMath interactive graphs Not examined
the graph of ex JavaMath interactive graphs
the graph of ax , a > 0 JavaMath interactive graphs
the solution of ax = b JavaMath interactive graphs
exam question Hot Eqn
Logarithms the graph of ln x JavaMath interactive graphs
ln x as the inverse function of ex JavaMath interactive graphs
the laws of logarithms 1 webEQ interactive equations
the laws of logarithms 2 webEQ interactive equations
the laws of logarithms 3 webEQ interactive equations
graphs of the laws of logarithms JavaMath interactive graphs
match the logs Hot Potatoes
memorise the laws of logarithms JavaScript interactive pages
exam question Hot Eqn
exam question Hot Eqn
exam question 2002 Hot Eqn
exam question 2002 Hot Eqn
exam question 2002 Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
extended problem problem P2.2 JavaMath interactive graphs
 
return to top6. Differentiation
ex the gradient of ax JavaMath interactive graphs
differentiation of ex JavaMath interactive graphs
exam question Hot Eqn
exam question 2001 Hot Eqn
ln x differentiation of ln x JavaMath interactive graphs
differentiation of ln ax webEQ interactive equations
exam question Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
ex and ln x sums and differences JavaMath interactive graphs
step by step derivatives webEQ interactive equations
match the derivatives Hot Potatoes
 
return to top7. Integration
ex integration of ex JavaMath interactive graphs
definite integrals webEQ interactive equations
1/x integration of 1/x JavaMath interactive graphs
definite integrals webEQ interactive equations
Mixed functions match the integrals Hot Potatoes
definite integrals webEQ interactive equations
volume of revolution webEQ interactive equations AQA WJEC P3
exam question Hot Eqn AQA WJEC P3
exam question Hot Eqn AQA WJEC P3
exam question 2002 Hot Eqn AQA WJEC P3
exam question 2003 Hot Eqn AQA WJEC P3
exam question 2003 Hot Eqn AQA WJEC P3
 
return to top8. Numerical methods
Solving equations change of sign 1 JavaScript interactive pages
change of sign 2 JavaScript interactive pages
by zooming in on a graph JavaMath interactive graphs
iterative methods 1 JavaScript interactive pages
iterative methods 2 JavaScript interactive pages
x = rx(1-x) JavaScript interactive pages
more on x = rx(1-x) a Java applet
convergence JavaMath interactive graphs
the bisection method a Java applet
exam question Hot Eqn
exam question Hot Eqn
exam question Hot Eqn
Integration approximate integration a Java applet
the trapezium rule JavaMath interactive graphs
exam question Hot Eqn
exam question 2002 Hot Eqn
 
return to topSummary
the formulae JavaScript interactive pages
true or false JavaScript interactive pages
quick test 1 JavaScript interactive pages
quick test 2 JavaScript interactive pages
some interesting curves JavaMath interactive graphs
exam question paper Hot Eqn

Credits
JavaMath interactive graphs =Javamath graphs webEQ interactive equations =WebEQ equations Hot Eqn =HotEqn equations
Cinderella interactive graphs =Cinderella graphs JavaScript interactive pages =JavaScript a Java applet =other Java applets
plane graphic calculator =PGC graphic calculator Hot Potatoes =Hot Potatoes dynamic HTML    
© Mathsnet 2002