Learn Calculus I | Free Interactive Course - StudyGenius | StudyGenius

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Discover the fundamentals of limits, derivatives, and the mathematics of change.

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Learn the fundamentals of limits, continuity, and derivatives.

Apply differentiation to physics, engineering, and economics.

Solve optimisation and related rate problems with confidence.

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Course Overview

Course Overview: Calculus I

Calculus I introduces the core principles of differential calculus, focusing on how quantities change and how to model them mathematically. Students explore limits, continuity, derivatives, and applications of differentiation in real-world problems. The course also covers techniques for solving optimisation problems, analysing motion, and understanding rates of change in physics and engineering contexts. As a foundation course, Calculus I equips learners with critical problem-solving skills necessary for advanced mathematics, engineering, and science studies.


Learn the fundamentals of limits, continuity, and derivatives.

Apply differentiation to physics, engineering, and economics.

Solve optimisation and related rate problems with confidence.

Develop strong analytical and problem-solving skills.

Build the foundation for advanced courses in mathematics and engineering.

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Learn Mathematics Courses with fast, gamified quizzes you can play solo or against others—perfect for building knowledge and recall, not replacing deep practice.

Quick rounds

Quick rounds

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Smart review

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Learn the fundamentals of limits, continuity, and derivatives.

Learn the fundamentals of limits, continuity, and derivatives.

Apply differentiation to physics, engineering, and economics.

Apply differentiation to physics, engineering, and economics.

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Learn Calculus I