Math 19500: Precalculus

Supervisor: David John

This course extends the study of algebra and introduces key concepts of precalculus. Topics include functions and their properties, domains and ranges, composition, transformations, and inverse functions, emphasizing graphing and analyzing polynomial, rational, exponential, logarithmic, and trigonometric functions, as well as solving related equations. It also covers trigonometric identities, trigonometric equations, conic sections, and systems of nonlinear equations. (Prerequisite for either first term calculus course Math 20100 or 20500.) Prereq.: A grade of C or above in MATH 19000 or placement. 4 hr./wk.; 3 cr.

Overview

Welcome to PreCalculus!

In this course, we will prepare you for the rigors of the CCNY Calculus sequence. Specifically, you will work with a standard library of single-variable functions to understand their algebraic and geometric properties. These functions will form the foundations of a mathematical toolbox you will rely on throughout any future mathematics course.

Syllabus, Class Schedule, and CLO

Syllabus, Class Schedule, and CLO

Text and Materials

1. Algebra and Trigonometry, 2nd Edition, and Intermediate Algebra (Chapter 11)

2. MYOPENMATH

Course Lecture Notes

Here you can access all of the 195 Lecture slides: CLICK HERE.

Course Grades

Your course grade will be weighted and calculated as follows:

The lowest exam score will be dropped.

Sample Final Exams

Sample Final A

Sample Final B

How to Succeed in this class

How to Succeed in this class

Information for Instructors

This page for instructors contains information for those teaching the course, including an annotated syllabus and an instructor guide. You must be logged in as a department member to see it.

Sections

For Fall 2026, the following sections are being offered:

Historical offerings