The goal of this unit is to familiarise you with the concept of function of a real variable and graphs of funcitons in the real plane. We will cover the definition of function, domain, range and composition of functions.
The Cartesian coordinate system
To know how to represent points in the plane by means of coordinates and learn how to find the distance between two points in the plane and the midpoint of a line segment.
Graphing linear functions
This week's units will cover basic graph sketching of linear functions and parabolas.
Graphing quadratic functions
Systems of linear inequalities
Analytic Geometry of Lines and Circles
Introduction to logarithms and exponential functions
Applications of logarithms and exponential functions
Introduction to trigonometry
Applications of trigonometry
Properties of trigonometric functions
The sine and cosine theorems
Radian Measure and further trigonometric functions
Graphing Trigonometric Functions
Arithmetic and Geometric Series