Linear Algebra & Multivariable Calculus (E/S) (From AY2026)

Many phenomena observed in nature and objects studied in science and engineering can be mathematically modelled using the methods of linear algebra and multivariable calculus.

(E) version

In the (E) version of the course, we introduce the basic theory of systems of linear equations, matrix algebra, linear maps, and eigenvalues and eigenvectors, and extend the concepts of calculus from Term 1 to higher dimensions through multivariable differentiation, integration, and optimisation.

In addition to fundamental mathematical concepts and problem-solving techniques, students will explore the principles of mathematical modelling. Through group projects, they will discover how the topics in this course can be applied to meaningful real-life scenarios.

To deepen their understanding of the computational techniques and algorithms introduced in the course, students will also learn how to implement these methods in code. With the help of software and programming, students will be able to tackle large-scale problems and appreciate the connections between abstract mathematical ideas and practical applications.

(S) version

In the (S) version of the course, we introduce the basic theories of systems of linear equations, matrices, subspaces and linear transformations, and extend the concepts of calculus from Term 1 to higher dimensions in the form of multivariable differentiation, optimisation and integration.

Course instructors

(E) Zhang Yining
(S) Omar Ortiz

Information correct as of 20 January 2026 and is subject to change.