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Calculus I
Discover the fundamentals of limits, derivatives, and the mathematics of change.
Topics
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Section 1: Foundations of Limits
Section 2: The Derivative: Definition and Interpretation
Section 3: Differentiation Rules and Techniques
Section 4: Applications of Derivatives I: Rates and Approximations
Section 5: Applications of Derivatives II: Optimization and Curve Sketching
Section 6: Introduction to Integrals: Antiderivatives and Definite 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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