Applied Mathematics 30 - Course Glossary


amortization period: the length of time required to pay off a mortgage

amortize: make payments to pay off a mortgage

amplitude: half the difference between the maximum and minimum values of a periodic function

arithmetic sequence: a sequence in which each successive term is found by adding a constant to the preceding term

binomial distribution: the probability distribution for a binomial experiment

binomial experiment: an experiment with a fixed number of trials where each trial has the same probability of success (or failure)

bounded: the value of an expression is bounded if there is one pair of integers with the first always less than the expression and the second always larger than the expression

capital gain: a gain in the value of property or equities

capital loss: a loss in the value of property or equities

closed form: an expression with all terms showing

column matrix: a matrix with only a single column

common difference: the difference between two consecutive terms of an arithmetic progression

common ratio: the ratio of each term of a geometric progression to the term preceding it

complement of an event: all the outcomes in a sample space that do not belong to the original event

compound interest: interest added to principal at the end of each interest period

confidence interval: the interval within which the value of a random variable is estimated to lie with a stated degree of probability

cycle: one period

cyclic: repeating at regular intervals

dependent events: two or more events for which the occurrence of one affects the probability of the occurrence of the others

dimensions of a matrix: the number of rows, m , by the number of columns, n , in a matrix, generally written as m n ´

effective rate of interest: the annual rate of interest that produces the same interest as a nominal rate compounded more frequently than once a year

element: an entry in a matrix

equities: stocks or mutual funds

equity: a share in the assets of a company

equivalent rates of interest: two interest rates with different compounding periods that yield the same interest

event: an outcome or a set of outcomes of an experiment

experimental probability: probability determined by observing the relative frequency of a given event

finite: bounded

fractal: an object that appears to be made up of smaller copies of the original

Fundamental Counting Principle: a technique for determining the number of ways two or more tasks can be performed by multiplying the number of ways each separate task can be performed

geometric sequence: a sequence in which the ratio of a term to its predecessor is the same throughout the sequence

independent events: two or more events for which the occurrence of one does not affect the occurrence of the others

infinite: not bounded

initial probability matrix: a matrix consisting of the distribution of probabilities for the first stage of a multistep problem

iteration: a repetition of a sequence of operations that yields results successively closer to a desired result

iteration: a repetition of a sequence of operations that yields results successively closer to a desired result

margin of error: the proportion added to and subtracted from the result to construct the confidence interval

matrix: a rectangular array of elements

maximum value: the largest value of a function or set of data

mean: the average of the items in a data set

median value: the average of the maximum and minimum values of a periodic function

median: the middle value in a data set

minimum value: the smallest value of a function or set of data

mode: the value(s) in a data set that appears most often

mortgage rate: interest rate on a mortgage

mortgage: a loan on property where the property is held as collateral

mutually exclusive events: events that cannot occur at the same time

network problem: a problem involving possible routes between destinations

nominal rate of interest: the stated rate of interest of a loan or deposit

normal curve: a bell-shaped, symmetrical curve representing the probability distribution for a random variable It is also known as the Gaussian curve.

normal distribution: a frequency distribution that can be represented by the normal curve

opposite vectors: vectors that have the same magnitude but in opposite directions

outcome: the result of an experiment

parallelogram method of adding vectors: a method of finding the sum of two vectors arranged tail-to-tail by completing a parallelogram

period: the smallest interval over which a periodic function repeats its values

periodic data: data that repeats its values over a particular interval

periodic event: an event that repeats its values over a particular interval

periodic: repeating at regular intervals

portfolio: investment holdings

probability: the ratio of the number of favourable outcomes to the total number of possible outcomes

radian measure: a system for measuring angles using the ratio of the arc length to the radius

range: the difference between the largest and smallest values of a variable in the sample under consideration

recursive: a procedure that can repeat itself indefinitely

recursively generated sequence: a sequence generated by a recursive process

residual value: the option-to-purchase price of a vehicle at the end of its lease

resultant: a vector that represents the same direction and magnitude as the sum of two vectors that are combined

row matrix: a matrix with only a single row

sample space: the set of all possible outcomes of an experiment

sampled data: data that is only a part of the available information

scalar: a constant

scalar: a constant or particular number

sequence: a set of elements ordered so they can be labelled with the positive integers

shares: certificates indicating partial ownership of a company

simple interest: interest on money borrowed or money lent calculated by multiplying the principal by the annual interest rate and by the time (in years)

sine curve: a graph from the family of functions of the form y = a sin( bx + c) + d

sinusoidal event: an event that produces a sine curve when graphed

sinusoidal regression: a method of finding a best-fit sine function for a given set of data

square matrix: a matrix with the same number of rows and columns

standard deviation: a measure of the dispersion of a frequency distribution

standard normal distribution: a normal distribution with a mean of 0 and a standard deviation of 1

stock: shares in a publicly traded company

template: a model that can be modified as required to solve problems, such as a prepared spreadsheet

theoretical probability: probability determined by a theoretical approach to the relative frequency of an event

transition matrix: a square matrix showing how theprobability of an event is dependent on the probability of another event occurring

tree diagram: a branching diagram illustrating all of the outcomes of an event or related events

triangle method of adding vectors: a method of finding the sum of two vectors arranged head-to-tail by completing a triangle

vector: a line segment that denotes magnitude and direction

Venn diagram: a diagram using circles inside a rectangle to model events

without limit: not bounded or continuing forever

zero vector: a vector that has no magnitude

z--score: the independent variable in a standard normal distribution

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