Welcome to Calculus

Course Description

What is Calculus? What is a derivative? What is an integral? What do use them for?
This class will answer these questions with the basics of calculus and its application to mathematics and the world. Students will work with hands-on examples and problems.

Class Format: Live classes will take place over Zoom. Quizzes and exams will be hosted on Moodle.

Class Times: Monday & Wednesday, 3:30 PM to 5:00 PM ET

Class Dates: September 2 – June 3

Text: Calculus Volume 1 (OpenStax.Org)
https://openstax.org/details/books/calculus-volume-1

Other requirements: Access to various free online math tools and websites (e.g., the Desmos online graphing calculator, spinner apps, etc.). Students will engage in hands-on learning both in live classes and in homework assignments.

Syllabus 2025-26

WeekChapter
1No Class
2No Class
3 Orientation & Review of Functions
4Basic Classes of Functions
Trigonometric Function
5Trigonometric Functions
Inverse Functions
6Exponential and Logarithmic Functions
Chapter Review, Quiz
7Quiz Review
Preview of Calculus
8No Class on Monday
Limit of a Function
9The Limit Laws
10Continuity
11The Precise Definition of a Limit
12Chapter Review, Quiz
Quiz Review
13Thanksgiving Break
No Class
14Fitting a Line to DataDefining the Derivative
15Defining the Derivative
16The Derivative as a Function
17Christmas Break
No Class
18Christmas Break
No Class
19Derivatives as Rates of Change
20Derivatives of Trigonometric Functions
21The Chain Rule
22Derivatives of Inverse Function
Implicit Differentiation
23Implicit Differentiation
Derivatives of Exponential and Logarithmic Functions
24Chapter Review, Quiz
Quiz review
25Applications of Derivatives
26Applications of Derivatives
27Applications of Derivatives
28Chapter Review, Quiz
Quiz Review
29Integration Introduction
Approximate Areas
30The Definite Integral
Fundamental Theorem of Calculus
31Holy Week Break
No Class
32Fundamental Theorem of Calculus
Integration Formulas and the Net Change Theorem
33Substitution
Integrals Involving Exponential and Logarithmic Functions
34Integrals Involving Exponential and Logarithmic Functions
Integrals Resulting in Inverse Trigonometric Functions
35Chapter Review, Quiz
36Quiz Review
Applications of Integration
37Applications of Integration
38Applications of Integration
39Applications of Integration
40Course Review
Final Exam Assigned

*Class will not be held on the following dates:

  • Sep 1 – 12 – Instructor is Out
  • Nov 24-28 – American Thanksgiving
  • Dec 22 – Jan 2 – Christmas Break
  • Mar 31 – Apr 3 – Holy Week Break
  • May 25 – American Memorial Day