Course Description
Tentative Course Outline
Numbers and their sets
Natural numbers, integers and real numbers and operations with them
Rational and Irrational numbers and operations with them
Exponential numbers and their properties
Power functions and definition of polynomials
Degrees of polynomials
Operations with polynomials: multiplication & division
Binomial formula: factorials. sigma notation, combinations
Definition of points on Rectangular Coordinates
Distance between two points
Circles in Rectangular Coordinates
Introduction to functions
Examples and applications of linear and quadratic functions
Graph of linear functions, slope and the y-intercept
Graph of quadratic functions, their vertices, concavity
Solving optimization problems
Examples and applications of exponential functions
The general equation and requirements
Graph and the shape of the exponential functions
Find the equation from the graph, and graph from the equation
Functions and the vertical line test
One-to-one functions and the horizontal line test
Algorithm of finding the inverse
Formulate the domain and the range of a function using its inverse
What is the profit if the interest is calculated once per year?
What is the profit if the interest is calculated 4 times per year?
What is the profit if the interest is calculated 12 times per year?
What is the profit if the interest is calculated continuously?
Units of measurement: degrees and radians
Split degrees into minutes and seconds
How to measure an angle using radians
Tranform angles into radians from degrees and vice-versa
Classification of angles
Area of a whole section and the area of a sector
Circumference and arc length