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- First Calculus Calculations: Simple Motion
- Generalizing to Other Rates of Change
- Introducing Linear Approximations and Differentials
- Average Rate of Change
- Estimating
*df/dx*at*x*=*a*

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First, welcome! We hope we’ll be able to help you learn Calculus as well as you’d like.

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!

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!

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More Chapters are coming very soon — please see below.

The material below does not have the depth or interactivity of the material above. Instead each single screen contains a summary of the key ideas, along with practice problems (each of course with a complete solution one click away). Previous students have found these pages quite helpful; they’re not just not nearly as developed as the full Chapters above.

We will be releasing the remaining fully-developed chapters for Calculus 1 in the coming weeks. Please check back — or, better, join the Forum for upcoming announcements!

- Evaluating Limits: Problems & Solutions
- Limits at Infinity Problems & Solutions
- Limit at Infinity Problems with Square Roots
- Calculate Derivatives: power rule, exponentials, trig derivatives; Product Rule, Quotient Rule
- Chain Rule: necessary for computing the derivative of most functions
- Derivative of $\ln(x)$
- Tangent & Normal Lines: how to find their equations easily (super-common exam questions)
- Implicit Differentiation
- Related Rates
- Approximations
- Maxima & Minima
- Curve Sketching
- L’Hôpital’s Rule
- Mean Value Theorem
- Optimization
- Integration, Definite
- Integration, Indefinite
*u*-Substitution