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