Exploring term Fall 2023 Change
- ACAN: Arts of Canada
- ADMN: Public Administration
- AE: Art Education
- AGEI: Ageing
- AHVS: Art History and Visual Studies
- ANTH: Anthropology
- ART: Visual Arts
- ARTS: Arts
- ASL: American Sign Language
- ASTR: Astronomy
- ATWP: Academic and Technical Writing Program
- BCMB: Biochemistry and Microbiology
- BIOC: Biochemistry
- BIOL: Biology
- BME: Biomedical Engineering
- CE: Community Engagement
- CHEM: Chemistry
- CIVE: Civil Engineering
- COM: Commerce
- CS: Canadian Studies
- CSC: Computer Science
- CW: Creative Writing (En'owkin Centre)
- CYC: Child and Youth Care
- DHUM: Digital Humanities
- DSST: Disability Studies (DSS)
- ECE: Electrical and Computer Engineering
- ECON: Economics
- ED-D: Educational Psychology and Leadership Studies
- ED-P: Curriculum and Instruction Studies
- EDCI: Curriculum and Instruction Studies
- EDUC: Education
- ENGR: Engineering
- ENSH: English
- ENT: Entrepreneurship
- EOS: Earth and Ocean Sciences
- EPHE: Exercise Science, Physical and Health Education
- ER: Environmental Restoration
- ES: Environmental Studies
- EUS: European Studies
- FA: Fine Arts
- FRAN: French and Francophone Studies
- GDS: Global Development Studies
- GEOG: Geography
- GMST: Germanic Studies
- GNDR: Gender Studies
- GREE: Greek
- GRS: Greek and Roman Studies
- HDCC: Human Dimensions of Climate Change
- HINF: Health Information Science
- HLTH: Health
- HS: Health and Society
- HSD: Human and Social Development
- HSTR: History
- HUMA: Humanities
- IB: International Business
- ICDG: Indigenous Community Development and Governance
- IED: Indigenous Education
- IGOV: Indigenous Governance
- INGH: Indigenous Health Studies
- INTS: International Health Studies
- IS: Indigenous Studies
- ISP: Intercultural Studies and Practice
- ITAL: Italian
- LAS: Latin American Studies
- LATI: Latin
- LAW: Law
- LING: Linguistics
- MATH: Mathematics
- MDIA: Media Studies
- MECH: Mechanical Engineering
- MEDI: Medieval Studies
- MEDS: Medical Science
- MICR: Microbiology
- MRNE: Marine Science
- MUS: Music
- NURS: Nursing
- PAAS: Pacific and Asian Studies
- PHIL: Philosophy
- PHYS: Physics
- POLI: Political Science
- PORT: Portuguese
- PSYC: Psychology
- RCS: Religion, Culture and Society
- SCIE: Science
- SENG: Software Engineering
- SJS: Social Justice Studies
- SLST: Slavic Studies
- SMGT: Service Management
- SOCI: Sociology
- SOCW: Social Work
- SOSC: Social Science
- SPAN: Spanish
- STAT: Statistics
- TCA: Transformative Climate Action
- THEA: Theatre
- TS: Technology and Society
- VIRS: Visiting International Research Studies
- VKUR: Valerie Kuehne Undergraduate Research Award
- WRIT: Writing
- MATH100: Calculus I
- MATH101: Calculus II
- MATH102: Calculus for Students in the Social and Biological Sciences
- MATH109: Introduction to Calculus
- MATH110: Matrix Algebra for Engineers
- MATH120: Precalculus Mathematics
- MATH122: Logic and Foundations
- MATH151: Finite Mathematics
- MATH161: Mathematics for Elementary School Teachers I
- MATH162: Mathematics for Elementary School Teachers II
- MATH200: Calculus III
- MATH202: Intermediate Calculus for CSC and EOS
- MATH204: Calculus IV
- MATH211: Matrix Algebra I
- MATH212: Introduction to Algebra
- MATH222: Discrete and Combinatorial Mathematics
- MATH236: Introduction to Real Analysis
- MATH248: Computer Assisted Mathematics
- MATH301: Complex Variables
- MATH311: Linear Algebra
- MATH312: Abstract Algebra I
- MATH315: History of Mathematics
- MATH320: Graph Theory
- MATH322: Combinatorial Structures and Enumeration
- MATH335: Real Analysis
- MATH342: Intermediate Ordinary Differential Equations
- MATH346: Introduction to Partial Differential Equations
- MATH347: Introduction to Continuous Optimization
- MATH348: Numerical Methods
- MATH352: Introduction to Probability
- MATH362: Elementary Number Theory
- MATH365: Introduction to Topology
- MATH366: Geometry
- MATH367: Non-Euclidean Geometry
- MATH369: Differential Geometry in R3
- MATH375: Philosophy of Mathematics
- MATH376: Introduction to Mathematical Biology
- MATH377: Mathematical Modelling
- MATH379: Nonlinear Dynamical Systems and Chaos
- MATH401: Complex Analysis
- MATH412: Abstract Algebra II
- MATH413: Applied Algebra
- MATH414: Algebraic Methods in Combinatorics
- MATH422: Combinatorial Mathematics
- MATH424: Structural Graph Theory
- MATH426: Extremal Combinatorics
- MATH427: Combinatorial Designs
- MATH428: Discrete Optimization
- MATH435: Real Analysis II
- MATH436: Calculus on Manifolds
- MATH442: Advanced Ordinary Differential Equations
- MATH446: Advanced Partial Differential Equations
- MATH449: Scientific Computing
- MATH451: Probability
- MATH452: Stochastic Processes
- MATH462: Topics in Number Theory
- MATH465: Topics in Topology
- MATH475: Topics in Mathematical Biology
- MATH477: Stochastic Financial Modelling
- MATH481: Mathematical Logic
- MATH490: Directed Studies in Mathematics
- MATH492: Topics in Applied Mathematics
- MATH493: Topics in Pure Mathematics
- MATH498: Seminar and Independent Project
MATH446
Advanced Partial Differential Equations
Classical linear PDEs : transport, Laplace, Poisson, heat, and wave equations. Scalar nonlinear first order equations, Hamilton-Jacobi, conservation laws, characteristics and notion of weak solutions. Representation of solutions, similarity solutions, Fourier transform, singular perturbation, travelling waves, power series solutions. Sobolev spaces, elliptic equations, Lax-Milgram, regularity, maximum principle. Linear evolution equations, parabolic and hyperbolic, semi-group theory. Additional topics as time permits.
Lecture: 3h
Lab: 0h
Tutorial: 0h
Credits: 1.5