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, Friday, 4:00 PM to 5:00 PM ET
Class Dates: September 4 – May 23 (final exam due on May 31)
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
| Week | Chapter |
| Sept 4 (Wed) | Orientation & Review of Functions |
| Sept 9 | Basic Classes of Functions Trigonometric Function |
| Sept 16 | Trigonometric Functions Inverse Functions |
| Sept 23 | Exponential and Logarithmic Functions Chapter Review, Quiz |
| Sept 30 | Quiz Review Preview of Calculus |
| Oct 7* | No Class on Monday Limit of a Function |
| Oct 14 | The Limit Laws |
| Oct 21 | Continuity |
| Oct 28 | The Precise Definition of a Limit |
| Nov 4 | Chapter Review, Quiz Quiz Review |
| Nov 11 | 5 Fitting a Line to Data |
| Nov 18 | Defining the Derivative |
| Nov 25* | Thanksgiving Break No Class |
| Dec 2 | The Derivative as a Function |
| Dec 9 | Derivatives as Rates of Change |
| Dec 16 | Derivatives of Trigonometric Functions |
| Dec 23* | Christmas Break |
| Dec 30* | Christmas Break |
| Jan 6 | Midterm Review Midterm Exam |
| Jan 13 | Midterm Exam Review The Chain Rule |
| Jan 20 | Derivatives of Inverse Function Implicit Differentiation |
| Jan 27 | Implicit Differentiation Derivatives of Exponential and Logarithmic Functions |
| Feb 3 | Chapter Review, Quiz Quiz review |
| Feb 10 | Applications of Derivatives |
| Feb 17 | Applications of Derivatives |
| Feb 24 | Applications of Derivatives |
| Mar 3 | Chapter Review, Quiz Quiz Review |
| Mar 10 | Integration Introduction Approximate Areas |
| Mar 17 | The Definite Integral Fundamental Theorem of Calculus |
| Mar 24 | Fundamental Theorem of Calculus Integration Formulas and the Net Change Theorem |
| Mar 31 | Substitution Integrals Involving Exponential and Logarithmic Functions |
| Apr 7 | Integrals Involving Exponential and Logarithmic Functions Integrals Resulting in Inverse Trigonometric Functions |
| Apr 14* | Holy Week Break |
| Apr 21* | No Class Monday Chapter Review, Quiz |
| Apr 28 | Quiz Review Applications of Integration |
| May 5 | Applications of Integration |
| May 12 | Applications of Integration |
| May 19 | Course Review Week Final Exam Due May 31st |
*Class will not be held on the following dates:
- Oct 7 – Canadian Thanksgiving
- Nov 25-29 – American Thanksgiving
- Dec 23 – Jan 3 – Christmas Break
- Apr 14-18 – Holy Week Break
- Apr 21 – Easter Monday