Complex number
What is the value of i4?
1
What is the name of the sampling method in which you just ask your friends?
Convenient sampling
What is the derivative of ln x?
1/x
Under what conditions will a geometric series converge?
When -1<r<1
How many pages should your IA be?
12-20
What is the name given to the diagram on which complex numbers are represented geometrically?
Argand Diagram
In statistics, what is the difference between quota sampling and stratified sampling?
In both sampling methods proportions are kept but in quota sampling the sampling is not random.
Explain implicit differentiation mathematically.
Name 2 types of proof that we use in this class.
Direct Proof
Proof by contradiction
When is your IA due?
July 31st
Explain the remainder theorem.
If a polynomial is divided by (x - a) the remainder will be equal to f(a).
When is a value considered an outlier?
If it is less than 1.5 * IQR below the minimum or more than 1.5 * IQR above the maximum
Explain the second derivative test
if f'(c)=0 and f''(c)>0 then there is a minimum at 'c'.
if f'(c)=0 and f''(c)<0 then there is a maximum at 'c'.
if f'(c)=0 and f''(c)=0 then the test is inconclusive.
What is an ONTO function?
When A --> B and every element of B is an image of an element of A
Month that starts with 'Sept'
September
A student was asked to find the fourth root of a complex number. One of the answers is 1, what are the other answers?
-1, i , -i
Who is Peter Parker?
Spiderman
Explain Euler's method for solving differential equations.
Start at a point (x0, y0) and through very small linear intervals approximate the value of (xn, yn)
What is the mathematical condition for a function to be considered an odd function?
-f(x)=f(-x)
For your IA, what are 4 of the 5 criteria you are evaluated on?
Presentation
Mathematical communication
Personal engagement
Reflection
Use of Mathematics
Given z1 = r1 cis (x) and z2 = r2 cis (y), what is z1/z2?
r1/r2 cis(x - y)
In a probability density function over the interval [a, b], how can the median be found?
evaluate the integral from [a, c] and make it equal to 0.5.
What is the derivative of f(x) =|x| at x = 0 and why?
undefined because the limit on either side are not equal to each other.
What is a self-inverse function?
f(x)=f-1(x)
Give 2 examples of malpractice
collusion
duplication
plagiarism
etc.