How to Learn Calculus

A structured path through Calculus — from first principles to confident mastery. Check off each milestone as you go.

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Estimated: 33 weeks

2-4 weeks

Master algebra, trigonometry, and functions. Understand domain, range, composition, and graphing.

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2-3 weeks

Learn to evaluate limits algebraically, graphically, and using the squeeze theorem. Understand continuity.

3-4 weeks

Master the power rule, product rule, quotient rule, and chain rule. Learn implicit differentiation.

2-3 weeks

Related rates, optimization, curve sketching, L'Hopital's Rule, and the Mean Value Theorem.

3-4 weeks

Riemann sums, antiderivatives, the Fundamental Theorem of Calculus, and basic integration techniques.

2-3 weeks

Substitution, integration by parts, trigonometric integrals, partial fractions.

3-4 weeks

Convergence tests, Taylor and Maclaurin series, power series, and interval of convergence.

6-8 weeks

Partial derivatives, multiple integrals, vector calculus, gradient, divergence, and curl.

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