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Calculus 1, 2 and 3 · every level

Learn calculus by doing it.

Bite-sized lessons where you solve real problems from the very first minute. Instant feedback on every answer, and a step-by-step replay whenever you get stuck.

Try your first lesson Browse courses
Lessons
163
Practice problems
977
Sign-up needed
None

How it works

Small steps. Real practice. Every minute.

  1. Step 1

    Read one small idea

    Two or three sentences and a worked example. No hour-long videos, no walls of text.

  2. Step 2

    Do it yourself, right away

    Type real answers with a math keyboard: derivatives, limits, integrals, vectors.

  3. Step 3

    Get feedback that teaches

    We spot the exact slip, offer hints, and replay the solution step by step.

Built for understanding

Everything you need to actually get it.

Step-by-step walkthroughs

Stuck? Watch the solution replay one move at a time, with the part that changes highlighted. Pause, rewind, or play it at 2× or 3×.

1∫2xcos⁡(x2) dx\int 2x\cos(x^{2})\,dxSpot the inside function
2u=x2,  du=2x dxu = \hl{x^{2}},\; du = 2x\,dxSubstitute
3sin⁡(x2)+C\sin(\hl{x^{2}}) + CIntegrate and swap back

Feedback that names the slip

Not quite

Remember the chain rule: multiply by the derivative of the inside, 33.

Not just "wrong". We catch sign slips, missing +C, the chain rule and more.

Quizzes and timed exams

Unit quizzes, a review of your past mistakes, and an exam simulator with a clock, a question navigator and a full review at the end.

Fresh numbers every time

Every problem is generated, so you can practice a skill as often as you like without memorizing answers.

Streaks, XP and daily goals

Five focused minutes a day adds up. Keep your streak alive and watch your mastery grow.

Courses

From your first limit to vector calculus.

Jump into any unit. No prerequisites enforced.

Calculus 1

71 lessons

Limits, derivatives and integrals, learned by doing. Short lessons, instant feedback and real problems, from your first limit to the fundamental theorem.

  • Functions warm-up
  • Limits
  • The derivative
  • Derivative rules
  • Applications of derivatives
  • Integrals
  • Applications of integrals
Start Calculus 1

Calculus 2

46 lessons

Integration techniques, applications of integrals, infinite series and Taylor polynomials, plus parametric and polar curves. Learned by doing, one step at a time.

  • Integration techniques
  • Improper integrals and applications
  • Sequences and series
  • Power series, parametric and polar
Start Calculus 2

Calculus 3

46 lessons

Calculus in three dimensions: vectors, partial derivatives, gradients and optimization, multiple integrals and the big theorems of vector calculus.

  • Vectors and space
  • Partial derivatives
  • Multiple integrals
  • Vector calculus
Start Calculus 3

Reference library

Look it up. Then practice it.

59 free reference pages on every function, rule and theorem in calculus, each with a graph, worked examples and a lesson to try it yourself.

Open the formula sheet

University courses

Taking calculus at university?

Look up your course code to see every topic it covers, mapped to practice. Study guides for 139 courses at top universities.

Find your course
MIT 18.01Harvard Math 1aStanford Math 19UC Berkeley Math 51UCLA Math 31AUC San Diego MATH 20AUC Davis MAT 21AMichigan Math 115Georgia Tech MATH 1551UIUC MATH 221UT Austin M 408CTexas A&M MATH 151Penn State MATH 140Ohio State MATH 1151

Pricing

Start free. Go Pro when it gets serious.

Hints and walkthroughs are always included. Pro adds every unit of every course, unlimited practice sessions and unlimited timed exams.

Compare plans
  • All of Calculus 1 and the first 2 units of Calculus 2 and Calculus 3, free with an account
  • Hints and step-by-step walkthroughs
  • Streaks, XP and daily goals
  • A free first lesson in every unit

From the blog

Calculus, explained step by step.

New guides every week, with graphs, worked examples and the mistakes to avoid.

Read the blog

Questions

Is it really free?

A free account gets you all of Calculus 1 and the first 2 units of Calculus 2 and Calculus 3, with 3 practice sessions a day and 1 timed exam a week. Without signing up you can try the first unit of every course and the first lesson of every unit. Pro adds every unit of every course, unlimited practice sessions and unlimited timed exams.

Do I need an account?

Not to start. As a guest you get the first unit of every course and the first lesson of every unit. A free account unlocks all of Calculus 1 and the first 2 units of Calculus 2 and Calculus 3 and keeps your XP, streak and progress on every device.

What level is it for?

All levels. Start with the functions warm-up if you are rusty, or jump straight into any unit: the first lesson of every unit is always open.

How do I type math?

With a math keyboard built for calculus. Type 3x^2, sqrt(x) or sin(x) and it turns into real math as you go. Any equivalent form of the right answer is accepted.

Is there a formula sheet or reference I can look things up in?

Yes, and it is free for everyone. The reference library has 59 pages on every function, rule and theorem in calculus, plus a one-page formula sheet with every derivative and integral.

What does Pro add?

Every unit of every course, unlimited practice sessions and unlimited timed exams. It comes with a 7-day free trial.

Your first derivative is a minute away.

No account, no setup. Open a lesson and start solving.

Start learning free