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A complete journey through Calculus I, from foundational concepts of limits and continuity to differentiation, integration, and real-world applications. Designed for students at every level, this school builds rigorous mathematical thinking through structured lessons, practice problems, and applied projects.
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Sign up to enrollLevel 100
ReadyThis course introduces students with no prior calculus experience to the core ideas that make calculus possible. You will develop intuition for limits, continuity, and the behavior of functions, building the essential foundation for all future calculus work.
5 modules · Teacher: Professor Clara
Level 200
LockedBuilding directly on your understanding of limits, this course develops the concept of the derivative and equips you with a full toolkit of differentiation rules. You will learn to differentiate a wide variety of functions and interpret derivatives as rates of change and slopes of tangent lines.
Unlocks when the previous course is complete.
Level 300
LockedThis course applies differentiation to solve real-world problems including optimization, curve sketching, and related rates, then introduces the integral as the reverse of differentiation. You will connect differential and integral calculus through the Fundamental Theorem of Calculus and compute basic definite and indefinite integrals.
Unlocks when the previous course is complete.
Level 400
LockedThis capstone course synthesizes everything from Calculus I into a rigorous, portfolio-quality experience. You will tackle advanced integration techniques, solve complex applied problems, prove key theorems, and complete a comprehensive project that demonstrates mastery of the full Calculus I curriculum.
Unlocks when the previous course is complete.
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