AMATH 195 - Advanced Applied Algebra

5 Credits
This course covers the following topics and their applications to business and industry: rational expressions; solving rational equations; rational formulas and variation; rational exponents and radicals; complex numbers and operation with complex numbers; quadratic equations; completing the square and quadratic formula; functions and their graphs; domain and range of functions; inverse functions; exponential and logarithmic functions; properties of logarithms; solving exponential and logarithmic equations; solving applied problems related to business and industry.

Prerequisite(s): Completion of MATH 085 or AMATH 185 with a 2.0 or higher, or placement by assessment.

Course Outcomes

Apply properties of real numbers to perform operations with radical expressions and solve radical equations.
Apply properties of real and complex numbers to solve quadratic equations.
Determine the domain and range of functions using algebraic and graphical methods.
Evaluate, graph, and perform operations on functions.
Apply exponential and logarithmic properties to solve exponential and logarithmic equations.
Apply algebraic and geometric concepts, and numerical computations, to answer word problems.
Apply intermediate algebra concepts and solution techniques to explore and solve real contextualized problems.
Communicate using mathematical notation and language.