Online Calculus Tutoring
Free Resources
In this weeks update of our online calculus tutoring, we’re exploring limits.
Limits are critical in our study and understanding of how we find and evaluate such things as derivatives and integrals. By having a strong foundation in limits, you’ll be ready to head into and tackle derivatives.
Limits Video
Next week we’ll explore the limit definition of derivative, and get ready to head into the study of derivatives and all derivative rules in the weeks to come.
The following section contains links to free videos on topics in both Calculus 1 and 2. The videos contain both lectures and examples.
Calculus 1 Tutoring Videos
What is Calculus 1?
The big picture of calculus 1 and all the various topics it contains.
Completely Free Course on Limits
This 4 hour video course covers the following topics:
- Finding Limits Graphically
- Limit Laws and Rules
- Indeterminate Forms
- Limits at Infinity
- Limits Review
- Epsilon Delta Definition
- Limits and Continuity
- Limits Definition of Derivative
Are You Prepared For Calc 1?
Find out with our readiness test to determine your strengths and weaknesses prior to taking the course.
Implicit Differentiation
We will walk through 6 examples in detail and see how implicit differentiation is one of the most useful differentiation techniques.
Related Rates
This video lesson walk you through the mechanics of how to find the rate of change over time for real world examples. We will begin with a lesson overview, and then look at two specific examples: pebble dropped into a pond forming concentric circles, and a boat being pulling into a dock by a winch.
Calculus 2 Tutoring Videos
What is Calculus 2?
The big picture of calculus 2 and all the various topics it contains.
How Do I Prepare for Calc 2?
Find out with our detailed guide which walks you through step-by-step questions to ensure you haven’t forgotten all the essentials from your prior courses.
U Substitution
We will begin with an overview of the U-Sub technique, which is used when we are asked to antidifferentiate a function that is a product of itself and its derivative. Then we will walk through two examples in detail.
Shell Method
In this lesson we will utilize the shell method to find the volume of a solid of revolution. This video contains a full video lectures along with 3 examples of how an when to apply this method.
Geometric Series
This lesson will outline the Geometric Series Test, and how it is used to determine convergence/divergence of an infinite series. This video contains an overview and one example.
Alternating Series
This lesson starts with an overview of the Alternating Series Test for an infinite series, and explains how and why we use this test to determine convergence. This video contains a lesson and one example.
Maclaurin and Taylor Series Overview
This video details the building blocks for all Taylor and Maclaurin Series. We will see how we can turn difficult/hard functions into manageable/easy functions for a specified interval of convergence, by using our skills of infinite series and tangent lines.
Taylor Series
We will begin with an overview of the Taylor Polynomial, and then use it to write a Taylor Series for a given function.
Lagrange Error Bound
This video will start with an overview of, what is error? and how do we find it? Next, we will look at how to find error for an Alternating Series and walk through one example. Finally, we will discuss how to find the “worst case scenario,” which is the technique know as Lagrange Error Bound, and look at an example.