MATH& 141 - Pre-Calculus I

5 Credits
Elementary functions, their graphs and transformations of their graphs, with applications to mathematical modeling. Examples include linear, quadratic, polynomial, rational, exponential, logarithmic, composite functions, and inverse functions.

General education distribution area: Quantitative / Symbolic Reasoning.

Prerequisite(s): Completion of MATH 095 , AMATH 193 , or AMATH 195 with a 2.0 or higher, or placement by assessment.

Course Outcomes

Solve problems involving the function concepts of domain, range, symmetry, composition, and inverses using functions in graphical, symbolic or numerical form.
Graph polynomial, rational, exponential, and logarithmic functions and interpret these graphs through the lens of linear transformations.
Identify, locate and communicate important graphical and functional features.
Use theorems and algebraic techniques to determine zeros of polynomial functions.
Solve equations/inequalities involving polynomial, rational, exponential, and logarithmic functions using graphical and algebraic methods.
Use the binomial theorem for polynomial expansion.
Apply the technique of proof by induction.
Apply algebraic and geometric concepts, and numerical computations, to answer word problems.
Communicate using mathematical notation and language.