Qualifier Bundle (All 4 Courses)

Set Theory - Number system, Sets and their operations

Relations and functions - Relations and their types, Functions and their types

Rectangular coordinate system, Straight Lines

Slope of a line, Parallel and perpendicular lines, Representations of a Line, General equations of a line, Straight-line fit

Quadratic Functions

Quadratic functions, Minima, maxima, vertex, and slope, Quadratic Equations

Algebra of Polynomials

Addition, subtraction, multiplication, and division, Algorithms, Graphs of Polynomials - X-intercepts, multiplicities, end behavior, and turning points, Graphing & polynomial creation

Introduction and type of data

Types of data, Descriptive and Inferential statistics, Scales of measurement

Describing categorical data

Frequency distribution of categorical data, Best practices for graphing categorical data, Mode and median for categorical variable

Describing numerical data

Frequency tables for numerical data, Measures of central tendency - Mean, median and mode, Quartiles and percentiles, Measures of dispersion - Range, variance, standard deviation and IQR, Five number summary

Association between two variables

Association between two categorical variables - Using relative frequencies in contingency tables, Association between two numerical variables - Scatterplot, covariance, Pearson correlation coefficient, Point bi-serial correlation coefficient

Variables, Initialization, Iterators, Filtering

Datatypes, Flowcharts, Sanity of data

Iteration, Filtering, Selection

Pseudocode, Finding max and min, AND operator

Multiple iterations (non-nested)

Three prizes problem, Procedures, Parameters, Side effects, OR operator

Nested iterations

Birthday paradox, Binning

Sounds and Words

Vowel and consonant sounds

Parts of Speech

Nouns, pronouns, verbs, adjectives, adverbs and usage

Sentences

Phrases and idioms

Speaking Skills

Spoken English preliminaries