Skip to main content
Jump to
Jump to
Admissions
About Waterloo
Faculties & Academics
Offices & Services
Support Waterloo
Open Search Location
Search for
Search Location
On all sites
On this site
Applied Mathematics
Menu
Applied Mathematics Home
Department members
Department members
Faculty members
Department Officers and Administration
Cross-appointed
Emeritus
Postdoctoral scholars and Visitors
Graduate students
Adjunct Faculty
In Memoriam
Programs and courses
Research areas
Research areas
Climate Change
Control and Dynamical Systems
Fluid Mechanics
Mathematical Medicine and Biology
Mathematical Physics
Mathematics of Data Science and Machine Learning
Scientific Computing
Events
Events
Applied Math distinguished lecture
Applied Math Colloquium
Applied Math seminar
Control Theory seminar
Mathematical Medicine and Biology seminar
Numerical Analysis and Scientific Computing seminar
Fluid Mechanics seminar
Mathematical Physics seminar
Physics of information seminar
Graduate Student Seminar
PhD Defences
PhD Comprehensive Seminars
PhD Comprehensive Exams
PhD Transfer Exams
Dean's distinguished women in mathematics, statistics, and computer science lecture series
Master's Defences
Applied Math Undergraduate Events
Research links
Research links
Research groups
Chairs and awards
Centres and Institutes
News
Career opportunities
EDI
EDI
Equity and Inclusion Principles
Feedback and Suggestions
Contact us
Current undergraduates
Current undergraduates
Academic advisors
Majors, minors and specializations
The Mathematical Physics Plan
Courses
Scholarships and awards
Non-majors
Transfer to Applied Mathematics
Undergraduate research opportunities
Applying for a research award
Research topics
Continuum and Fluid Mechanics students
AMATH 361
Deformation
Material characterization in a laboratory
Memory intergrals
AMATH 463
Geophysical Fluid Dynamics
Internal gravity waves
Laminar flow
Surface gravity waves
Vorticity
Continuum and Fluid Mechanics Media
First and second year students
Approximation
Computation
Differential equations and non-linearity
Wave motion
Maple Worksheets
Program Changes for Fall 2025
Future undergraduates
Future undergraduates
What is Applied Mathematics?
What you can learn in Applied Mathematics
Continuum and Fluid Mechanics
Vortices
Internal gravity waves
Prospective students
Control Theory
Block diagram for cruise control
Control of man-made systems
Control in biological systems
Differential Equations
Ordinary Differential Equations
Partial Differential Equations
Dynamical Systems
Strange attractors
Quantum Theory
Failure of classical Physics
The Quantum world
Quantum Theory and technology
Relativity and Cosmology
Black holes
Gravitational lensing
Gravitational waves
Big-bang origin of the universe
Gravity affects clocks
Scientific Computing
Gas flow in nozzles
Waves
Programs and courses
First-year courses
Focus your studies
Careers in Applied Mathematics
Applying
Frequently Asked Questions (FAQs)
Graduate students
Graduate students
Applying
Research areas
Programs
MMath programs
PhD program
Master's degree completion procedures
Courses
Graduate courses
Courses and research topics
Funding and awards
Contact
Theses and Papers
PhD theses
Master's theses
Master’s research papers
Graduate Student Profiles
Jun Liu
Assistant Professor
