This is our catalog of courses. We will occasionally adjust the course listing to reflect the addition of new courses and the retirement of others.
Master the language of mathematics with our comprehensive calculus course. From derivatives to integrals, the engaging curriculum will empower you to conquer calculus, ensuring a solid foundation for academic success in the future. This course is eligible for (optional) college credit through Franciscan University.
Total classes: 14
Prerequisite: Precalculus or Advanced Mathematics. Students should be competent in using a graphing calculator (TI-84, for example). Getting to Know Your TI-84+ is available as a 4-class recorded course.
Suggested grade level: 11th to 12th grade
Suggested credit: One full semester Math
Description
This is an introductory-level College Calculus course on applications of the derivative, and related topics, including limits and continuity, and introducing the definite integral and its properties. We will cover Chapters 1-4 of the textbook over the Fall and Spring semesters.
Outline
Week 1: Position, velocity, and acceleration
Week 2: Introduction to limits
Week 3: The derivative of a function
Week 4: More on derivatives
Week 5: Interpreting derivatives
Week 6: The second derivative
Week 7: Limits, Continuity, and Differentiability
Week 8: Tangent lines
Week 9: Basic Derivative Rules
Week 10: Sin and Cosine functions
Week 11: Product and quotient rules
Week 12: Derivatives of other Trig functions
Week 13: The chain rule
Week 14: Derivatives of Inverse Functions
Materials and Homework
Materials: Active Calculus by Matthew Boelkins, ISBN-10 1724458329, available online at https://activecalculus.org/single/frontmatter.html free of charge, or printed at Amazon.
Homework: Expect to spend at least 2 hours on problem-solving weekly based on video lessons and the live class session.
Important Dates
Class dates: Wednesdays, September 4 to December 11, 2024. (No class Nov. 27)
Starting time: 4:00 PM Eastern (3:00 Central, 2:00 Mountain, 1:00 Pacific)
Duration: 55 minutes, plus 2-3 recorded sessions required viewing
