Matheno - Learn Well and Excel

You want to do well in Calculus.

That requires developing
a deep understanding of the key concepts,
and strong problem-solving skills.

You can build both here.
So please jump in, and use our materials
to learn well and excel.
It's all free.
To get started, simply visit our Calculus Home.

This site is free?!?

We don't charge for anything on this site, we don't run ads, and we will never sell your personal information.

We're passionate educators with a goal:

Provide high-quality, interactive materials to dedicated learners everywhere in the world, regardless of ability to pay,
so they (you!) can learn well and excel.

We're working to develop more.
If you'd like to give back and help support our efforts, all we ask is that you perhaps

Buy us a coffee We're working to add more,
and would appreciate your help
to keep going! 😊

Matheno Features & Benefits

Here are some examples of Calculus problems you will find on Matheno.

  • Typical HW and exam questions

    You'll find all of the homework and exam questions common to introductory Calculus classes.

  • Solutions are one click away

    Access complete step-by-step solutions to every problem.

  • Full solutions to every problem

    View step-by-step solutions, so you'll never be lost or have to search for more detail elsewhere.

  • Full solutions to every problem

    View step-by-step solutions, so you'll never be lost or have to search for more detail elsewhere.

  • Classic Exam Questions

    Questions from actual university exams. Full solutions are a click away.

Calculus Topics

Due to the evolution of our site, we have two types of material:

* New Interactive, Step-by-Step Chapters

Our new material spreads most Topics' development across several screens, so you can build your understanding step-by-step. We've crafted focused, interactive Desmos calculators so you can explore key ideas for yourself, and hence be able to 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.

Zoom in around point (9,3) on graph of sqrt(x) to show linear approximation

Introductory Ideas

Show/Hide Partial Chapter Contents
  • 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

Static image of graph used in Limits Lab

Limits & Continuity

Show/Hide Partial Chapter Content
  • Introduction to Limits
  • “Tolerance;” Epsilon, Delta & Formal Limit Definition
  • Approximations to Find a Limit (Lab)
  • Limits that Do and Do Not Exist
  • One-sided Limits
  • Vertical Asymptotes
  • Calculating Limits: limit laws, substitution, factor, use conjugates, …
  • The Squeeze Theorem; Special Limits
  • Limits at Infinity: the meaning, limits of polynomials, rational functions, exponentials and logarithms
  • Computing limits at infinity with square roots
  • Continuity & The Intermediate Value Theorem

Calculating Derivates Chapter cover, featuring the Product Rule

Calculating Derivatives

Show/Hide Sample Chapter Contents
  • Derivatives of Polynomials, Exponentials, Trig Functions, …
  • Product and Quotient Rules
  • Chain Rule

* Legacy Material: Summaries & Practice Problems (with solutions)

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

You can access everything easily from our Calculus Home page.

We'll be adding more topics soon as we grow. Please watch (or join!) our Forum for updates!

  • “Thank you so much. Love that the resources are structured super nicely, that there is an explanation to almost anything and that there are LOADSSS of examples. Really helped understand material for my super hard Calc unit tests. Haven't seen such a good resource for calc so far.” ~ Anonymous User
  • “This website is seriously fantastic and thorough with ample and diverse examples, unlike other sites who show you the simplest equations, which you wouldn't see on an exam.” ~ User from USA
  • “Best website ever. Totally would recommend.” ~ A.D.
  • “Thank you thank you thank you!! you helped me solve my HW question!!! I’ve been pulling my hair out with trying to figure out these related rates problems and this really helped!!” ~ K. W.
  • “You have no idea how much simpler you made Related Rates for me. I will recommend this guide to everybody. . . ” ~ Nick
  • “oh wow thanks for this XD I comprehend [limits] better now” ~ @johananprime (via Twitter)
  • “[I]t is absolutely self-explanatory how to use it—it literally took seconds to make an account, start using, answering and viewing my progress!” ~ Aaron
  • “Your site is awesome.” ~ User from Maritius

Our Philosophy

Teachers of any grade level:
We support your work!
We sincerely hope that you and your students will find our materials helpful.
If there is more we can do for you, or if you have suggestions for us (which we greatly appreciate!),
please contact us.