Study sets matching "nst ia maths"

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Study sets matching "nst ia maths"

31 terms
NST IA Maths: Probability
For all events A
P(Ω)
P(A')
P(A ∪ B)
0 ≤ P(A) ≤ 1
1
1 - P(A)
P(A) + P(B) - P(A ∩ B)
For all events A
0 ≤ P(A) ≤ 1
P(Ω)
1
17 terms
NST IA Maths: Integration
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
38 terms
NST IA Maths: Linear Algebra
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…
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…
11 terms
NST IA Maths: Partial Differential Equations
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
18 terms
NST IA Maths: Scalar & Vector Fields and their Integrals
Position Vector x
grad Φ = ∇Φ
Unit normal to a surface
Line integral of a scalar field
(x,y,z)
(∂Φ/∂x, ∂Φ/∂y, ∂Φ/∂z)
∇Φ / |∇Φ|
∫r Φ ds = ∫[t1,t2] Φ(x(s)) |dx/dt| dt
Position Vector x
(x,y,z)
grad Φ = ∇Φ
(∂Φ/∂x, ∂Φ/∂y, ∂Φ/∂z)
9 terms
NST IA Maths: Functions of more than 1 Variable
grad, ∇
∂²f/∂x∂y
df
ω = P(x,y) dx + Q(x,y) dy is an exact…
(∂/∂x, ∂/∂y)
∂²f/∂y∂x
∂f/∂x dx + ∂f/∂y dy
iff ∂P/∂y = ∂Q/∂x
grad, ∇
(∂/∂x, ∂/∂y)
∂²f/∂x∂y
∂²f/∂y∂x
66 terms
NST IA Physics: Oscillating Systems
The behaviour of a system is periodic
Angular frequency, ω
Fundamental Equation of SHM
Tangential Velocity, v
if x(t) = x(t + T)
2πf
d²x / dt² +ω₀² x = 0
The behaviour of a system is periodic
if x(t) = x(t + T)
Angular frequency, ω
2πf
7 terms
math ia
Feelies
first slide... INTRO
Simple Math process 1... Coefficient of v…
Simple Math process 2... Box Plott
1. Hand out cards randomly... 2. ask them to hold on to those ti…
What i did!!... explain that i wanted to do this because it rela…
For the height i found the mean = 67.249737 For the standard…
I created to separate box plots for time and height. I first…
Feelies
1. Hand out cards randomly... 2. ask them to hold on to those ti…
first slide... INTRO
What i did!!... explain that i wanted to do this because it rela…
Maths IA - Algebra
A = B
A + B
cA
AB = D (2x2 A and B)
iff aij = bij
aij + bij
caj
d11 = (a11)(b11) + (a12)(b21)
A = B
iff aij = bij
A + B
aij + bij
Maths IA - Calculus
Define: iff
Define: =>
Define: <=>
Define: xtA
if and only if
implies
is equivalent
x is an element of A
Define: iff
if and only if
Define: =>
implies
Math ia vocab
Dramaturgical analysis
Economic periphery
Gemeinschaft
Gesellschaft
An approach to social situations developed by Erving Goffman…
The sector of the economy characterized by small, local, bare…
A term used by Tonnies to describe a small, traditional, comm…
A term used by Tonnies to describe an urban industrial societ…
Dramaturgical analysis
An approach to social situations developed by Erving Goffman…
Economic periphery
The sector of the economy characterized by small, local, bare…
Functions (Math IA)
Horizontal Asymptote
Oblique Asymptote
A line of y = (some number) that a function approaches infini…
When the degree of the numerator is exactly one more than the…
Horizontal Asymptote
A line of y = (some number) that a function approaches infini…
Oblique Asymptote
When the degree of the numerator is exactly one more than the…
22 terms
College Math IA Review #3
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
41 terms
CST IA P1: Discrete Maths I
P => Q, is true
¬ Q => ¬ P
(P ∧ Q) => R
P <=> Q
iff whenever P is true, Q is true
Same as P => Q
P => Q => R
P bi-implies Q
P => Q, is true
iff whenever P is true, Q is true
¬ Q => ¬ P
Same as P => Q
Math IA Vocabulary Unit 3
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 y…
Cube root
Is a number is a value that, when multiplied three times.
Inverse Operation
It reverses the effect of another operation.
Math IA mid-term exam
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…
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
Math Chapter 2 IA test
Distance
Perimeter of square
Temp
Area of rectangle
R*t
Distance around(add all the sides)
=c=5/9(f-32)
L*w
Distance
R*t
Perimeter of square
Distance around(add all the sides)
19 terms
Math-IA2-properties_personalized study set
distributive
associative
commutative
associative
a(b+c) = ab + ac
(a+b)+c=a+(b+c)
a+b=b+a
(32)4 = 3 (2*4)
distributive
a(b+c) = ab + ac
associative
(a+b)+c=a+(b+c)
Math IA Vocabulary Unit 2
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.
29 terms
IA 3 math study sheet
What does slope in context mean
How can we prove that two different po…
How can we find the slope using simila…
What is a directly proportional relati…
It shows the change in every time
By finding the slope of the two different coordinate pairs
By finding the rise over run of both triangles and cross mult…
When the initial value I'd 0
What does slope in context mean
It shows the change in every time
How can we prove that two different po…
By finding the slope of the two different coordinate pairs
33 terms
Algebra IA - Unit 1 - The Building Blocks of Algebra
variable
ratio
rate
vary
an unknown quantity, most of the time indicated by a lower ca…
a comparison of numbers by division
a measure, quantity, or frequency, typically one measured aga…
change
variable
an unknown quantity, most of the time indicated by a lower ca…
ratio
a comparison of numbers by division
IAS
HINDI
ENGLISH
MATH
SCIENCE
ENGLISH
ENGLISH
ENGLISH
ENGLISH
HINDI
ENGLISH
ENGLISH
ENGLISH
18 terms
French IA: Les Cours
Les Cours
l'anglais
le déjeuner
le dessin
The Courses
English
lunch
art
Les Cours
The Courses
l'anglais
English
45 terms
Spanish IA Vocabulary 4.1
Alemán
Almuerzo
Arte
Biología
German
lunch
Art
Biology
Alemán
German
Almuerzo
lunch
74 terms
NST 108 MT 3
chlorophyll fxn
chlorophyll a
chlorophyll b
what damages chlorophyll?
photosynthesis
blue-green
yellow-green
heat and chemicals
chlorophyll fxn
photosynthesis
chlorophyll a
blue-green
10 terms
Volume/Area Formulas
Cone
Rectangle
Triangle
Cylinder
A=l*w... P=2l+2w
Cone
Rectangle
A=l*w... P=2l+2w
Maths File
shape
average
sphere
circumference
kształt
przeciętny, średni
kula, sfera
obwód (koła)
shape
kształt
average
przeciętny, średni
Bien dit IA - Chapitre 4 - Asking and giving opinions
Comment est ton cours de maths?
Comment c'est, l'éducation musicale?
Ça te plaît, l'informatique?
Il est difficile.
How is your math class?
What's music class like?
Do you like computer class?
It is difficult.
Comment est ton cours de maths?
How is your math class?
Comment c'est, l'éducation musicale?
What's music class like?
40 terms
IA Spanish 1 and 2 Verbs Estar, Querer, Poder, Ir
Yo quiero jugar béisbol
Tú quieres ir de compras
Usted quiere cantar
Él quiere jugar fútbol después de las…
I want to play baseball
You want to go shopping
You want to sing
He wants to play soccer after school
Yo quiero jugar béisbol
I want to play baseball
Tú quieres ir de compras
You want to go shopping
Maths definitions (number sets)
Real
Irrational
Rational
Natural
Anything on a numberline
A non-repeating infinite decimal
Can be written as a fraction with whole numbers
Any positive integer
Real
Anything on a numberline
Irrational
A non-repeating infinite decimal
Bien dit IA - Chapitre 4- Quelle heure est-il?
Quelle heure est-il?
Il est une heure
Il est deux heures.
Il est trois heures.
What time is it?
It is 1 o'clock.
It is 2 o'clock.
It is 3 o'clock.
Quelle heure est-il?
What time is it?
Il est une heure
It is 1 o'clock.
Slope
Slope
Slope Formula
Slope-Intercept form
Slope Formula, given 2 points
the steepness of a line
rise/run or change in y over change in x
Slope
the steepness of a line
Slope Formula
rise/run or change in y over change in x
13 terms
Slopes of Parallel and Perpendicular Lines
6
10
2/11
5/6
Parallel: 6... Perpendicular: -1/6
Parallel: 10... Perpendicular: -1/10
Parallel: 2/11... Perpendicular: -11/2
Parallel: 5/6... Perpendicular: -6/5
6
Parallel: 6... Perpendicular: -1/6
10
Parallel: 10... Perpendicular: -1/10
40 terms
Transformation
translate three to the right and 4 down
reflection over the x-axis
180⁰ rotation
reflection over the y-axis
(x,y)→(x+3,y-4)
(x,y)→(x,-y)
(x,y)→(-x,-y)
(x,y)→(-x,y)
translate three to the right and 4 down
(x,y)→(x+3,y-4)
reflection over the x-axis
(x,y)→(x,-y)
Algebra IA scatter plot
origin
x-axis
quadrant
coordinate plane
The starting point.
the horizontal axis...left to right
Any of the 4 areas made when we divide up a plane by an x and…
A plane that is divided into four regions by a horizontal lin…
origin
The starting point.
x-axis
the horizontal axis...left to right
34 terms
Find slope from graph
1/2
-1
1/2
-5/4
1/2
-1
15 terms
Lines Target #1 - I can find slope from graph
-5/4
0
4
-2
Find the slope.
Find the slope.
Find the slope.
Find the slope.
-5/4
Find the slope.
0
Find the slope.
Bien dit IA - Chapitre 4 - Mon année scolaire
une matière
Quelle est ta matière préférée?
la biologie
la bio
a subject
What is your favorite subject?
biology
biology (abbreviated)
une matière
a subject
Quelle est ta matière préférée?
What is your favorite subject?
6 terms
Lines Target #1 Test - I can calculate slope from a graph
-1
1
-1/4
-3/4
Find the slope.
Find the slope.
Find the slope.
Find the slope.
-1
Find the slope.
1
Find the slope.
Slope, Parallel and Perpendicular Lines
m = 1
m = -1/5
Parallel Lines
m = -7/6
Find the slope of line FG if F(1,1) and G(2,2)
Find the slope of the line that is perpendicular a line with…
Find the slope of a line that is perpendicular to the line th…
m = 1
Find the slope of line FG if F(1,1) and G(2,2)
m = -1/5
Find the slope of the line that is perpendicular a line with…
12 terms
School Subjects in Spanish
el almuerzo
el arte
la educación física
el español
lunch
art
physical education
Spanish
el almuerzo
lunch
el arte
art
Course C
deceleration
Geiger-Müller counter
angstrom
aperture
减速
盖革计数器
10^(-10)
光圈
deceleration
减速
Geiger-Müller counter
盖革计数器
15 terms
GEOMETRY
ALTERNATE INTERIOR ANGLES
ALTERNATE EXTERIOR ANGLES
CORRESPONDING ANGLES
VERTICAL ANGLES
ALTERNATE INTERIOR ANGLES
ALTERNATE EXTERIOR ANGLES
17 terms
Spanish IA Dictionary Pages 45-47
Which school subjects do you prefer?
English is easy.
Literature is difficult.
I like computer science.
¿Cuáles materias preferidas?
El ingles es fácil.
La literatura es difícil.
A mi me gusta la computación.
Which school subjects do you prefer?
¿Cuáles materias preferidas?
English is easy.
El ingles es fácil.
27 terms
Realidades 1: Capítulo 2A, las clases escolares
el almuerzo
la clase
la clase de arte
la clase de español
the lunch
the class
the art class
the Spanish class
el almuerzo
the lunch
la clase
the class
50 terms
Slope
1/2
-1
1/2
-5/4
Find the slope.
Find the slope.
Find the slope.
Find the slope.
1/2
Find the slope.
-1
Find the slope.
Multiplication Tables
2x2
2x3
2x4
2x5
4
6
8
10
2x2
4
2x3
6
50 terms
Spanish IA Review
la clase
el arte
las ciencias naturales
las ciencias sociales
class
art
science
social studies
la clase
class
el arte
art
106 terms
Capitula IA
el arte
las ciencias naturales
las ciencias sociales
la educación fisica
art
science
social studies
physical education
el arte
art
las ciencias naturales
science
50 terms
Capítulo 2A - Tu Día En La Escuela (Your School Day)
el almuerzo
la clase
la clase de Arte
la clase de Español
the lunch
the class
Art Class
Spanish Class
el almuerzo
the lunch
la clase
the class
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