About This Chapter
Who's it for?
Anyone who needs help learning or mastering college calculus material will benefit from taking this course. There is no faster or easier way to learn college calculus. Among those who would benefit are:
- Students who have fallen behind in understanding continuity or working with the intermediate value theorem
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about continuity in calculus
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources
How it works:
- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Continuity in Calculus chapter exam.
Why it works:
- Study Efficiently: Skip what you know, review what you don't.
- Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
- Be Ready on Test Day: Use the Continuity in Calculus chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any continuity question. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students will review:
In this chapter, you'll learn the answers to questions including:
- How do I calculate continuity in a function?
- What are asymptotic, jump and point discontinuities?
- How can I find the region of continuity for a function with discontinuities?
- What is the intermediate value theorem and some of its applications?
1. Continuity in a Function
Travel to space and explore the difference between continuous and discontinuous functions in this lesson. Learn how determining continuity is as easy as tracing a line.
2. Discontinuities in Functions and Graphs
In this lesson, we talk about the types of discontinuities that you commonly see in functions. In particular, learn how to identify point, jump and asymptotic discontinuities.
3. Regions of Continuity in a Function
Can Earth ever compete with extraterrestrial UFOs? In this lesson, you'll learn that not all functions are continuous, but most have regions where they are continuous. Discover how to define regions of continuity for functions that have discontinuities.
4. Intermediate Value Theorem: Definition
A UFO and a jet take off and ascend to 30,000 feet along discontinuous and continuous paths, respectively. In this lesson, learn about the intermediate value theorem and why the jet has to cross 15,000 feet.
5. Intermediate Value Theorem: Examples and Applications
Many problems in math don't require an exact solution. Some problems exist simply to find out if any solution exists. In this lesson, we'll learn how to use the intermediate value theorem to answer an age-old question.
6. Conway's Game of Life: Rules & Instructions
This lesson goes over the four simple rules for Conway's Game of Life, a single-person logic game created in 1970. Read on to learn how the simple rules lead to many interesting patterns.
7. Continuity in Calculus: Definition, Examples & Problems
Graphing functions can be tedious and, for some functions, impossible. Calculus gives us a way to test for continuity using limits instead. Learn about continuity in calculus and see examples of testing for continuity in both graphs and equations.
8. Infinite Limit: Definition & Rules
In this lesson, we learn how to interpret limits whose values are unbounded, or infinite. We'll look at a few examples to show you how to compute these infinite limits.
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Other chapters within the Calculus: Help and Review course
- Graphing and Functions: Help and Review
- Geometry and Trigonometry in Calculus: Help and Review
- Using Scientific Calculators in Calculus: Help and Review
- Limits in Calculus: Help and Review
- Rate of Change in Calculus: Help and Review
- Calculating Derivatives and Derivative Rules: Help and Review
- Graphing Derivatives and L'Hopital's Rule: Help and Review
- Applications of Derivatives: Help and Review
- Area Under the Curve and Integrals: Help and Review
- Integration and Integration Techniques: Help and Review
- Integration Applications: Help and Review
- Differential Equations: Help and Review