Math 2412 Learning Objectives - preliminary draft

MATH 2412, Precalculus. Learning Objectives

Sketch graphs and appropriate transformations for the following: polynomial functions (linear, quadratic, followed by those with degree three and higher), trigonometric functions, exponential and logarithmic functions, rational functions, and conic sections.
Solve applied problems using the appropriate function.
Be able to use function notation to evaluate expressions and perform operations on functions such as addition, subtraction, multiplication, division, and composition of functions. Be able to find the domain of functions.
Find the inverse of one-to-one functions.
Solve systems of equations, both linear and non-linear.
Work introductory exercises using polar coordinates, parametric functions, and vectors.
Work introductory exercises from topics in discrete mathematics, such as sequences and series.
Solve equations containing trigonometric functions both in routine exercises and applied problems.

Appropriate use of technology will be encouraged throughout the course.