Engineering Mathematics
Engineering mathematics support covering linear algebra, transforms, complex analysis, vector analysis, and numerical methods.

Course Content
Weekly contentThis module covers Vectors and vector spaces through conceptual framing and problem solving.
This module covers Matrix representations and systems of linear equations through conceptual framing and problem solving.
This module covers Eigenvalue problems through conceptual framing and problem solving.
This module covers Spectral decomposition, characteristic polynomials, and minimal polynomials through conceptual framing and problem solving.
This module covers Inner product spaces and orthogonality through conceptual framing and problem solving.
This module covers Orthogonal and Hermitian matrices through conceptual framing and problem solving.
This module covers Hilbert spaces through conceptual framing and problem solving.
This module covers Fourier series and Fourier transforms through conceptual framing and problem solving.
This module covers Laplace transforms through conceptual framing and problem solving.
This module covers Complex analysis: limits, continuity, and differentiability through conceptual framing and problem solving.
This module covers Complex integration and Cauchy theorem through conceptual framing and problem solving.
This module covers Taylor and Laurent series, and the residue theorem through conceptual framing and problem solving.
This module covers Conformal mappings and applications to boundary-value problems through conceptual framing and problem solving.
This module covers Vector differential and integral calculus through conceptual framing and problem solving.
Targeted Learning Outcomes
- Support for graduate Engineering Mathematics and Applied Mathematics students
- Connect linear algebra, complex analysis, transforms, and vector analysis as a coherent toolkit
- Strengthen the mathematics used in PDEs, fluids, heat transfer, and electromagnetism
Recommended Prerequisites
- Calculus and basic linear algebra
- Differential equations background is useful for transforms and PDE topics