The applied mathematics module will cover several mathematical topics that are useful for research and analysis across different engineering discipline. Topics may vary with the instructor but often with a focus of methods in solving mathematical problems in engineering instead of rigorous mathematical proof. The module will cover the following four major areas:
- Analytical methods in solving differential equations and integrals including WKBJ, saddle point method and asymptotic analysis.
- Linear algebra with advanced matrix property, computation, and decomposition techniques.
- Probability and statistic, where several popular and important random variables in engineering applications and their distribution will be studied.
- Discrete mathematics with an emphasis on graph theory and complexity analysis.
At the end of the term, students will be able to:
- Understand the fundamentals of complex analysis and apply the tools to evaluate integrals and solve complex equations appearing in engineering problems.
- Understand Laplace and Fourier transforms and apply them to solve differential equations.
- Understand the fundamentals of ordinary and partial differential equations, be familiar with several important differential equations encountered in engineering problems, and know the basic techniques to solve them.
Academic Units/Delivery Format
Letter graded, final exam, mid-term, project, homework