Teaching

Queen's University

APSC 103 - Engineering design

Winter 2025

Course description: Engineering client-based design project "Mathematical Tables - Creative Furniture Design".

MTHE 493 Engineering Mathematics Project

Academic Years 2024-25, 2022-23, 2021-22

Course description: This is the capstone design course for Mathematics and Engineering. Students must work in groups, with a typical group size being between two and four members. Projects are selected early in the year from a list put forward by Mathematics and Engineering faculty members who will also supervise the projects. There is a heavy emphasis on engineering design and professional practice. All projects must be open-ended and design oriented, and students are expected to undertake and demonstrate, in presentations and written work, a process by which the design facets of the project are approached. Projects must involve social, environmental, and economic factors, and students are expected to address these factors comprehensively in presentations and written work. Students are assessed individually and as a group on their professional conduct during the course of the project. onQ

MATH/MTHE 433 - MATH 833 Continuum Mechanics with Applications

Fall 2024, Fall 2023, Fall 2022, Winter 2022

Course description: Continuum mechanics lays the foundations for the study of the mechanical behavior of solids and fluids. After a review of vector and tensor analysis, the kinematics of continua are introduced. Emphasis is given to the concepts of stress, strain and deformation. The fundamental laws of conservation of mass, balances of (linear and angular) momentum and energy are presented together with the constitutive models. Applications of these models are given in the theory of linearized elasticity and fluid dynamics. onQ

MTHE 237 Differential Equations for Engineering Science

Fall 2024, Fall 2023, Fall 2022, Fall 2021, Fall 2019

Course description: Topics include models for dynamical systems, classification of differential equations, methods for solving differential equations, systems of equations and connections with Linear Algebra, stability of dynamical systems and Lyapunov’s method, the Laplace Transform method, and numerical and computer methods. onQ

MATH 925 Topics in Analysis: Sobolev Spaces

Summer 2024, Summer 2022, Winter 2022

Course description: This is a reading course on the Sobolev spaces in ℝⁿ and their application in the analysis of partial differential equations.

MATH 436 Partial Differential Equations

Winter 2024

Course description: Well-posedness and representation formulae for solutions to the transport equation, Laplace equation, heat equation, and wave equation. Fundamental solutions. Properties of harmonic functions. Green's function. Mean value formulae. Energy methods. Maximum principles. Method of characteristics for quasilinear equations. Burgers’ equation. Shocks formation and entropy condition. Applications to fluid dynamics, elasticity problems and/or optimization problems.

MATH/MTHE 439 - MATH 836 Lagrangian Mechanics, Dynamics, and Control

Winter 2021

Course description: Geometric modelling, including configuration space, tangent bundle, kinetic energy, inertia, and force. Euler-Lagrange equations using affine connections. Equilibria and stability.

MATH/MTHE 437 - MATH 837 Topics in Applied Mathematics: Continuum Mechanics and Applications

Winter 2020

Course description: Continuum mechanics lays the foundations for the study of the mechanical behavior of solids and fluids. After a review of vector and tensor analysis, the kinematics of continua are introduced. Emphasis is given to the concepts of stress, strain and deformation. The fundamental laws of conservation of mass, balances of (linear and angular) momentum and energy are presented together with the constitutive models. Applications of these models are given in the theory of linearized elasticity and fluid dynamics.