MATH115

Apply algebraic, graphical, numerical, and verbal skills to a variety of types of functions: linear, quadratic, polynomial, radical, rational, exponential, and logarithmic functions.

Analyze behaviors of functions considering domain and range, transformations of familiar functions, intercepts, symmetry, increasing and decreasing intervals, asymptotes, and relative minimum and maximum function values.

Find real and nonreal complex solutions to quadratic and polynomial equations using factoring, the Rational Zero Theorem, synthetic division, the quadratic formula, and other techniques.

Use logarithms to solve exponential equations, in the creation of exponential models, and to expand and condense logarithmic expressions.

Use the difference quotient or two points on the graph to determine the average rate of change of a function.

Solve systems of linear and nonlinear equations.

Demonstrate knowledge of the six trigonometric functions, methods of solving triangles, trigonometric identities, and trigonometric equations.

Model problems using their knowledge of these functions, and construct the quantitative solutions to many geometric problems.

Apply knowledge of trigonometric functions and identities to construct quantitative solutions in geography, physical sciences, engineering, and other disciplines.

Communicate their knowledge of functions, equations, and inequalities, both orally (e.g. class discussions) and in writing (e.g. written assessments).