# Study sets matching "nst ia maths"

Reverse limits of ∫[a,b] f(x) dx =

Break up range of ∫[a,b] f(x) dx =

∫[a,b] (f(x) + g(x) dx

Integrals involving √(a² - x²)

- ∫[b,a] f(x) dx

∫[a,c] f(x) dx+ ∫[c,b] f(x) dx

[a,b] f(x) dx + [a,b] g(x) dx

substitute x = a sinθ

Reverse limits of ∫[a,b] f(x) dx =

- ∫[b,a] f(x) dx

Break up range of ∫[a,b] f(x) dx =

∫[a,c] f(x) dx+ ∫[c,b] f(x) dx

Vectors are linearly independent

Vector Space V is n-dimensional

Matrices can only be multiplied

Product cij

if the only solution of... a₁v₁ + ... + am vm = 0... is ai = 0, ∀i

dim V = n, if there exist linearly independent vectors, such t…

if A is m x n and B is n x p

ⁿ∑ aik bkj

Vectors are linearly independent

if the only solution of... a₁v₁ + ... + am vm = 0... is ai = 0, ∀i

Vector Space V is n-dimensional

dim V = n, if there exist linearly independent vectors, such t…

Wave Equation

Heat / Diffusion Equation

Laplace's Equation

General 2D Form of PDE

∂²y/∂x² = (1/c²) ∂²y/∂t², c = √(T/ρ)

∂Θ(x,t)/∂t = κ ∂²Θ(x,t)/∂x²

∇²Φ = ∂²Φ/∂x² + ∂²Φ/∂y² = 0

a ∂²φ/∂x² + 2b ∂²φ/∂x∂y + c ∂²φ/∂y² + F(∂φ/∂x, ∂φ/dy, φ) = 0

Wave Equation

∂²y/∂x² = (1/c²) ∂²y/∂t², c = √(T/ρ)

Heat / Diffusion Equation

∂Θ(x,t)/∂t = κ ∂²Θ(x,t)/∂x²

Rate of Change

Slope Intercept

Slope/Rate of Change:

Constant of Proportionality:

m=y2-y1... -------... x2- x1

y=mx+b... where m is the slope;b is the y −intercept or starting…

m=∆y/∆x

y=kx... Where k is the constant of ... proportionality.

Rate of Change

m=y2-y1... -------... x2- x1

Slope Intercept

y=mx+b... where m is the slope;b is the y −intercept or starting…

Feelies

first slide... INTRO

Simple Math process 1... Coefficient of va…

Simple Math process 2... Box Plott

1. Hand out cards randomly... 2. ask them to hold on to those til…

What i did!!... explain that i wanted to do this because it relat…

For the height i found the mean = 67.249737 For the standard d…

I created to separate box plots for time and height. I first c…

Feelies

1. Hand out cards randomly... 2. ask them to hold on to those til…

first slide... INTRO

What i did!!... explain that i wanted to do this because it relat…

rates

similar figures

integer(s)

goal of an equation

expressed as a quantity of 1

when the lengths of the sides are proportional

a whole number

isolate the variable

rates

expressed as a quantity of 1

similar figures

when the lengths of the sides are proportional

Dramaturgical analysis

Economic periphery

Gemeinschaft

Gesellschaft

An approach to social situations developed by Erving Goffman i…

The sector of the economy characterized by small, local, barel…

A term used by Tonnies to describe a small, traditional, commu…

A term used by Tonnies to describe an urban industrial society…

Dramaturgical analysis

An approach to social situations developed by Erving Goffman i…

Economic periphery

The sector of the economy characterized by small, local, barel…

How do you find the area of a circle?

How do you find the circumference of a…

How do you find the volume of pyramids?

What is a math net?

Pi(r)suared

2(Pi)r

area of the base multiplied by the height, multiplied by 1/3

It is a way to express the surface area of a figure.

How do you find the area of a circle?

Pi(r)suared

How do you find the circumference of a…

2(Pi)r

Empirical Probability

Without Replacement

And

y varies inversely with x

Outcome / Total

Does not go back in

Multiplication

yx = yx

Empirical Probability

Outcome / Total

Without Replacement

Does not go back in

Cube root

Inverse Operation

Solution

Variable

Is a number is a value that, when multiplied three times.

It reverses the effect of another operation.

A value we can put in place of a variable, like x.

A letter that stands for a number, we don't know the number ye…

Cube root

Is a number is a value that, when multiplied three times.

Inverse Operation

It reverses the effect of another operation.

Power

Coefficient

Base

Standard Form

Number of times a based is multiplied by itself.

Leading number when multiplying by two terms.

Number that is being used as a factor.

Most commonly accepted form of a number.

Power

Number of times a based is multiplied by itself.

Coefficient

Leading number when multiplying by two terms.

Variable

Order of operations

Equation

Function

Letter used to represent one or more of the numbers

To evaluate an expression involving more than one expression

Mathematical sentence formed by placing the symbol = between t…

A set called the domain contains numbers called inputs, a set…

Variable

Letter used to represent one or more of the numbers

Order of operations

To evaluate an expression involving more than one expression

Statistics

Random Sampling

Biased

Unbiased

Is the study of the collection, organization, analysis, interp…

Can be used instead of asking every-single person. It is an ea…

The information is not reliable

The information is reliable

Statistics

Is the study of the collection, organization, analysis, interp…

Random Sampling

Can be used instead of asking every-single person. It is an ea…