This two-semester module goes far beyond a review of school mathematics. It introduces the core ideas of calculus not just as a set of rules, but as a precise language for understanding change and motion in the world around us.
In the module you will explore functions of one and two variables, understanding how their derivatives reveal rates of change and how their integrals capture accumulation. You will also encounter sequences and series, discovering how infinite processes can produce finite, precise results.
Rather than simply repeating familiar techniques, this course develops the theoretical foundations that support the more advanced modules that follow, while showing how the same concepts drive engineering, economics, finance, and data analysis.