MTH 175 - Precalculus
A study of the properties and graphs of functions, including polynomial, absolute value, power, piecewise, radical, rational, exponential, logarithmic, trigonometric, and inverse trigonometric. Topics also include a study of analytic trigonometry and an introduction to vectors. This course is intended to prepare students for the study of calculus.
Prerequisite: MTH 165 with a grade of C or higher, or MTH 141 with a grade of C or higher, or MCC Level 9 Mathematics placement or higher.
SUNY General Education: SUNY-M - Mathematics (SMAT)
MCC General Education: MCC-CT - Critical Thinking (MCT), MCC-QL - Quantitative Literacy (MQL)
Course Learning Outcomes
1. Rewrite a logarithmic expression using properties of logarithms.
2. Perform operations on functions, which may include compositions or arithmetic combinations.
3. Determine simplified difference quotients.
4. Determine the inverse of a one-to-one function.
5. Construct graphs of equations, functions, or their transformations.
6. Identify appropriate features of the graph of an equation such as intercepts, asymptotes, maximum values, minimum values, domain, range, or symmetry.
7. Determine the values (in exact form when possible) of the trigonometric functions of any angle.
8. Verify a trigonometric identity.
9. Solve a trigonometric equation.
10. Evaluate expressions involving inverse trigonometric functions.
11. Use the Law of Sines and/or Law of Cosines to solve an oblique triangle.
12. Construct the graph of y = a f (bx + c) + d where f is a trigonometric function.
13. Identify appropriate features of the graph of a trigonometric function, such as amplitude, period, phase shift, vertical shift, domain, or range.
14. Perform operations on vectors.
Course Offered Fall, Spring