maths flashcards
When you see gradient?
Differentiate
When you see purely graphical or numerical methods not accepted?
Calculus
When you see circles?
Centre: divide by 2 then make negative
Radius: divide by two; square; add; subtract constant term
When you see intersection of lines?
Set equal to each other
When you see a graph?
Check if velocity-time or distance-time
When you see find area on a graph?
Integration
When you see constant acceleration?
SUVAT formulae
When you see stationary point?
Gradient = 0, differentiation
When you see maximum or minimum points?
Gradient of curve on either side (differentiation)
When you see integration?
Check if +c is needed
When you see simplex algorithm?
Calculator matricies for table rows
When you see ??
Calculator in radians, polar coords are (distance,angle)
When you see arc length?
r?
When you see area of sector?
0.5r²?
When you see planarity?
Hamiltonian cycle. inside outside edges
When you see nth term arithmetic sequence?
a+(n-1)d
When you see arithmetic series?
n/2(2a+(n-1)d)
When you see nth term geometric sequence?
ar^n-1
When you see geometric series?
(a(1-r^n)/(1-r)
When you see sec?
1+tan²x=sec²x
When you see cot/cosec?
1+cot²x=cosec²x
When you see kinetic energy?
0.5mv²
When you see gravitational potential energy?
mgh; set a zero line
When you see explain why is this model not realistic?
Assumptions make models less refined
When you see state correlation?
Strong/weak positive/negative
When you see describe/interpret correlation?
In context; as this increases this decreases
