maths

semester 1

what is the dot product equal to

what is the cross product equal to

n = direction

what is the triple vector product

=0 if two vectors are the same/parallel

what is the first differentiation principle

what do common things differentiate to

what is the product rule

what is the chain rule

what is the quotient rule

how to convert cartesian to polar

what is a formula to find derivative from partial derivatives

what is the saddle point

stationary point where it is flat and in/decreases on each side

how to find second derivative with partial derivatives

what do the second derivatives mean for certain partial derivatives

how to divide complex numbers

what is sqrt(i) and how to find

setr x = a + bi and x = sqrt(i)

what are complex numbers in polar coordinates

how to write a complex number in cos and sin

how to multiply arguments and modulus

what is the differential of a complex number in polar coordinates

what is euler’s formula

what is de moivre’s theorem

what is sin in exp terms

what is cos in exp terms

what is sinh

what is cosh

what is sinh (x+y) and cosh (x+y)

what are the derivatives of some hyperbolic functions

what is the formula for arithmetic progression

what is the sum of arithmetic progression

what is the equation for geometric progression

what is the sum of a geometric progression

what happens to a geometric progression depending on r

if mod r>1 sum diverges, if mod r < 1 sum converges

what is the sum of geometric progression to infinity if r <1

what is the sum of geometric progression to infinity if r >1

what is the expression for (x+1)^n

what is the taylor series

assumes - single valued, continuous

what is the maclaurin series

set around x = 0

how to do taylor series with multiple variables

same as usual just add an extra term for the other variable

what is l’hoptials rule

what is the integral of f1/f

what is the integral of f x f1

what is the inetgral of f1/ sqrt(f)

integral ofs

integral of

integral of

integral of

how to find general integral of a trig function

how to find line integrals

how to find the area in polar coordinates

how to find volume of revolution

what is area of curved surface of a cylinder

what is the volume of a cylinder

what are spherical coordinates

what is the surface area in spherical coordinates

what is the volume in spherical coordinates

how to solve ODEs

how to solve second ODEs

solve left side using quadratic equation- complementary function, then add particular integral

what are the guesses for particular integrals

what is the form of a complementary function

Ae^(lambda1 x) + Be^(lambda2 x)

where lambda is answer from quadratic solutoin = 0