How to Learn Calculus — Math expr, Chain rule (extended)
A structured path through Calculus — Math expr, Chain rule (extended) — from first principles to confident mastery. Check off each milestone as you go.
Calculus — Math expr, Chain rule (extended) Learning Roadmap
Click on a step to track your progress. Progress saved locally on this device.
Pre-Calculus Review
2-4 weeksMaster algebra, trigonometry, and functions. Understand domain, range, composition, and graphing.
Explore your way
Choose a different way to engage with this topic — no grading, just richer thinking.
Explore your way — choose one:
More ways to explore
Limits and Continuity
2-3 weeksLearn to evaluate limits algebraically, graphically, and using the squeeze theorem. Understand continuity.
Differentiation
3-4 weeksMaster the power rule, product rule, quotient rule, and chain rule. Learn implicit differentiation.
Applications of Derivatives
2-3 weeksRelated rates, optimization, curve sketching, L'Hopital's Rule, and the Mean Value Theorem.
Integration
3-4 weeksRiemann sums, antiderivatives, the Fundamental Theorem of Calculus, and basic integration techniques.
Integration Techniques
2-3 weeksSubstitution, integration by parts, trigonometric integrals, partial fractions.
Sequences and Series
3-4 weeksConvergence tests, Taylor and Maclaurin series, power series, and interval of convergence.
Multivariable Calculus
6-8 weeksPartial derivatives, multiple integrals, vector calculus, gradient, divergence, and curl.
Explore your way
Choose a different way to engage with this topic — no grading, just richer thinking.
Explore your way — choose one: