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MATH 114

PRECALCULUS

5 credits.

Properties of elementary functions, such as polynomial, absolute value, radical, rational, exponential, logarithmic, and trigonometric functions. Topics include equations, inequalities, functions, and their graphs. Other topics include trigonometric equations and identities and the geometric significance of trigonometry. Formulating, analyzing, solving, and interpreting mathematical and real-world problems. Provides the algebra and trigonometry skills required for calculus.

Topics

Topics explicitly listed in official catalogue description

Prerequisites & course information

Requisites: MATH 96 or placement into MATH 114 . Not open to students with credit for MATH 113 . Course Designation: Core GenEd - Mathematics & Quantitative Reasoning Comm QR - Quantitative Reasoning A Level - Elementary L&S Credit - L&S Liberal Arts and Science Repeatable for Credit: No Last Taught: Fall 2026 Learning Outcomes: 1. Solve equations and inequalities using algebraic and trigonometric techniques. Audience: Undergraduate 2. Interpret the properties of functions, including their domains and ranges. Audience: Undergraduate 3. Graph, transform, combine, compose, and solve for the inverse of functions. Audience: Undergraduate 4. Interpret and graph polynomial, rational, exponential, and trigonometric functions. Audience: Undergraduate 5. Define the sine, cosine, and tangent functions with respect to the unit circle and other geometric objects. Audience: Undergraduate 6. Interpret and graph radical, logarithmic, and inverse trigonometric functions using restricted domains. Audience: Undergraduate 7. Model and analyze real-world problems using functions and their properties. Audience: Undergraduate 8. Support solutions and arguments by applying mathematical concepts and reason to justifications. Audience: Undergraduate Learning Outcomes: 1. Solve equations and inequalities using algebraic and trigonometric techniques. Audience: Undergraduate 2. Interpret the properties of functions, including their domains and ranges. Audience: Undergraduate 3. Graph, transform, combine, compose, and solve for the inverse of functions. Audience: Undergraduate 4. Interpret and graph polynomial, rational, exponential, and trigonometric functions. Audience: Undergraduate 5. Define the sine, cosine, and tangent functions with respect to the unit circle and other geometric objects. Audience: Undergraduate 6. Interpret and graph radical, logarithmic, and inverse trigonometric functions using restricted domains. Audience: Undergraduate 7. Model and analyze real-world problems using functions and their properties. Audience: Undergraduate 8. Support solutions and arguments by applying mathematical concepts and reason to justifications. Audience: Undergraduate

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