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Calculus I
Discover the fundamentals of limits, derivatives, and the mathematics of change.
Topics
Exam‑style questions with instant feedback.
Section 1: Limits and Continuity
Section 2: Differentiation Rules
Section 3: Applications of Derivatives
Section 4: Integration: The Antiderivative and Definite Integral
Section 5: Techniques of Integration
Section 6: Applications of Integrals
What you’ll achieve
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.
Course overview
Everything you need to excel in 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.
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