☀
Account Enter the Lab
Courses  /  Calculus & Beyond  /  Calculus
Calculus & Beyond
Calculus

Calculus

Watch the world change — then learn to measure exactly how fast.
8 levels 45 lessons ~8 hours Intermediate Taught by Newton 0 of 45 complete
▶ Begin with Newton Preview the first lesson
THE SYLLABUS
I
What is a Derivative?

0 / 6
▶
The Rate of Change
Start
🔒
Tangents
Premium
🔒
Maxima and Minima
Premium
🔒
Critical Points
Premium
🔒
Apply: Drop Testing
Premium
🔒
Level 1 Review
Premium
II
Level 2

What is a Derivative?

🔒 6 lessons
🔒 Rates of change, tangent lines, and reading a curve's slope at a point — the whole idea of a derivative.
III
Level 3

Using Derivatives

🔒 5 lessons
🔒 Maxima, minima, and the shape of any curve — put the derivative to work on real problems.
IV
Level 4

Finding Derivatives

🔒 7 lessons
🔒 The rules that turn the idea into a tool — power, product, quotient, and chain rules.
V
Level 5

Integrals

🔒 5 lessons
🔒 Add up infinitely many pieces — area under a curve and the link back to derivatives.
VI
Level 6

Three Dimensions

🔒 3 lessons
🔒 Spin curves into solids — volumes of revolution, shells, and slices.
VII
Level 7

Sequences and Series

🔒 8 lessons
🔒 Infinite sums that settle down — sequences, series, and the tests that tame them.
VIII
Level 8

Limits and Continuity

🔒 6 lessons
🔒 What it really means to approach a value — limits, continuity, and where curves break.
IX
Level 9

Advanced Topics

🔒 5 lessons
🔒 Taylor series, l'Hôpital, and the ideas that carry you into higher mathematics.