## Calculus Home

We’re glad you’re here! 😊

All of the material on our site is free for you to use, with the goal of supporting your learning.

If you have Calculus questions, the Matheno Community is ready to help:

please visit our Forum!

If you can, begin your Calculus studies with Chapter 1: “Introductory Ideas,” where we lay the groundwork for what’s to come. You’ll immediately be doing easy Calculus calculations, and we’ll just keep building from there!

And if you need to jump into a later topic because that’s where you are in your course, by all means please do.

Either way, we and the rest of our learning community are eager to help you learn well. Please join us on the Forum and let us know what questions and thoughts you have. We hope to see you there!

Due to the evolution of our site, our material exists in two forms:

**“Chapter > Section > Topic”**: Our new material goes screen-by-screen, so you can build your solid understanding step-by-step. We’ve crafted focused, interactive Desmos calculators so you can explore key ideas for yourself, and hence apply those new ideas to each new problem type you encounter. The accompanying Check Questions and Practice Problems (all of course with complete solutions a click away) are then focused on that screen’s material.**“Legacy Material”**: By contrast, our Legacy Material treats each Topic on a single screen, with a brief summary at the top and then Practice Problems with complete solutions. Previous students have found these pages quite helpful; they’re just not nearly as developed as the new material.

The tables below show all of the content currently on the site (except for Blog posts). They also show how the Legacy Material aligns with the new material. Please dive in wherever would be most helpful to you!

## CHAPTER 1: Introductory Ideas

## CHAPTER 2: Limits & Continuity

## CHAPTER 3: The Derivative

This foundational Chapter is in progress!## CHAPTER 4: Calculating Derivatives

## CHAPTER 5: Applications of Derivatives

We currently only have legacy material for this Chapter, but are working to get new material up soon.SECTION | TOPIC | LEGACY MATERIAL (single screen) |
---|---|---|

Tangent & Normal Lines | ||

Maxima & Minima | ||

Curve Sketching | ||

Mean Value Theorem | ||

Approximations | ||

LβHΓ΄pitalβs Rule | ||

Related Rates | ||

Optimization |

## CHAPTER 6: The Integral and Integration

We currently only have legacy material for this Chapter, but are working to get new material up soon.SECTION | TOPIC | LEGACY MATERIAL (single screen) |
---|---|---|

Definite Integration | ||

Indefinite Integration | ||

u-Substitution |

If you need help with something we don’t have materials for yet,

please feel free to ask on our Forum and we’ll do our best to assist!