Calculus (From AY2026)
The main objective of this course is to provide students with firm foundations in single-variable calculus so that they can apply calculus to model, solve, and analyse applied mathematical problems. The course begins with an introduction to basic logic, set theory, and mathematical proofs, equipping students with the logical reasoning and critical thinking skills necessary for understanding and constructing rigorous mathematical arguments.
Building on this foundation, the course develops the fundamental concepts, techniques, and applications of the two major branches of calculus—differentiation and integration. Students will explore a wide range of motivating applications drawn from engineering, the physical and biological sciences, computer science, finance, economics, probability, statistics, and other fields. In addition, students will learn to use simple software tools to implement numerical methods in calculus.
Course instructor
Information correct as of 20 January 2026 and is subject to change.