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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
48 terms
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
53 terms
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
8 terms
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…
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
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
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 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.
8 terms
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)
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
9 terms
Maths File
shape
average
sphere
circumference
kształt
przeciętny, średni
kula, sfera
obwód (koła)
shape
kształt
average
przeciętny, średni
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.
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
10 terms
Volume/Area Formulas
Cone
Rectangle
Triangle
Cylinder
A=l*w... P=2l+2w
Cone
Rectangle
A=l*w... P=2l+2w
9 terms
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
11 terms
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
32 terms
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.
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.
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
6 terms
School subjects
el arte
el español
el inglés
la historia
art
Spanish
English
history
el arte
art
el español
Spanish
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.
174 terms
CAO- Algebra IA
Give the slope and y-intercept of each…
Graph the line, given the equation.... y…
A position-time graph can tell how muc…
Give the slope and y-intercept of the…
d) Slope = 1; y-intercept = -2
A
True
b) Slope = 14... y-intercept = 5
Give the slope and y-intercept of each…
d) Slope = 1; y-intercept = -2
Graph the line, given the equation.... y…
A
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.
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
23 terms
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?
15 terms
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
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
NST 108A MT 3
Is chlorophyll fat or water soluble
are carotenoids fat or water soluble
are flavonoids fat or water soluble
What are the colors and R groups of ch…
fat
fat
water
Chlorophyll a- blue green, CH3... Chlorophyll b- yellow green, CHO
Is chlorophyll fat or water soluble
fat
are carotenoids fat or water soluble
fat
45 terms
Avancemos Unit 2 Lesson 1 Vocabulary
At what time is...?
What time is it?
At...o'clock.
It is...o'clock.
¿A qué hora es...?
¿Qué hora es?
A la(s)...
Es la.../Son las...
At what time is...?
¿A qué hora es...?
What time is it?
¿Qué hora es?
55 terms
Bon voyage 1 chapter 2
un professeur
une professeur
un(e) prof
un copain
a teacher (male)
a teacher (female)
a teacher (slang)
a friend (male)
un professeur
a teacher (male)
une professeur
a teacher (female)
131 terms
Multiplication
2 x 1
2 x 2
2 x 3
2 x 4
2
4
6
8
2 x 1
2
2 x 2
4
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
47 terms
Random information and formulae to learn
Differential of tan(x)
Sum of geometric series
Binomial expansion for (1 + x)ⁿ
(a + b)ⁿ
sec²(x)
a (1 - rⁿ) / (1-r)
1 + nx + n(n-1)x² / 2! +.......
aⁿ + naⁿ⁻¹b + n(n-1)aⁿ⁻²b² / 2! +....... + bⁿ
Differential of tan(x)
sec²(x)
Sum of geometric series
a (1 - rⁿ) / (1-r)
32 terms
Complex Numbers
Fundamental theroem of algebra
zz*
|z| = mod(z) =
z + z*
Every non-constant single-variable polynomial with complex co…
a² + b² , real and non negative
√(zz*) = √(a² + b²)
2a
Fundamental theroem of algebra
Every non-constant single-variable polynomial with complex co…
zz*
a² + b² , real and non negative
20 terms
Water Cycle
water cycle
evaporation
condensation
precipitation
the continuous process by which water moves from Earth's surf…
a process at which molecules at the surface of a liquid absor…
water vapor cools and becomes a liquid
when water in the form of ice, rain, sleet, hail, or snow, fa…
water cycle
the continuous process by which water moves from Earth's surf…
evaporation
a process at which molecules at the surface of a liquid absor…
Writing equations from graphs
y=3x+2
y=1/3x-1
y=-½x+2
y=¼x-1
y=3x+2
y=1/3x-1
121 terms
Multiplication Tables
2x2
2x3
2x4
2x5
4
6
8
10
2x2
4
2x3
6
24 terms
Oxford Solutions Pre-Intermediate U IA - sport, hobbies, school subjects
basketball
board games
bowling
chess
koszykówka
gry planszowe
kręgle
szachy
basketball
koszykówka
board games
gry planszowe
7 terms
Water and the Water Cycle
Precipitation
evaporation
condensation
transpiration
Any form of water that falls from clouds and reaches Earth's…
The change of a liquid to a gas; the sun heats up and turns i…
Gas to Liquid; gas gets colder and changes back to liquid , f…
Evaporation of water from the leaves of a plant
Precipitation
Any form of water that falls from clouds and reaches Earth's…
evaporation
The change of a liquid to a gas; the sun heats up and turns i…
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