THIS IS A TWO-SEMESTER COURSE.

In this course, students will investigate limits and derivatives graphically, numerically, and analytically using both abstract and quantitative reasoning. They will develop the derivative as a two-sided limit of an average rate of change, make sense of problems, and apply the derivative to a variety of contexts to model with mathematics. They will go on to use Riemann sums to approximate values of definite integrals based on known geometric shapes with both equal and unequal subdivisions and then develop the definite integral as a limit of Riemann sums. Finally, the students will use geometric formulas on the coordinate plane to find the exact value of a definite integral.

This course is essential for students who intend to go to college for a degree in the STEM fields.

Class Meetings: Thursdays, 6:00 p.m. Eastern Time
Fall Semester: August 28 – December 18, 2025
Spring Semester: January 15 – May 14, 2026

Student Expectations: Students will be given one assignment weekly (practice skills, research, or a mini quiz).

Student Support: The instructor is available via email.

Feedback/Assessment: The instructor will provide feedback on all assignments.

Materials/Supplies: Students will need a TI-84 CE graphing calculator for this course.

Prerequisites: Students should have taken pre-calculus, advanced algebra, or algebra II prior to taking this course.