Fracture mechanisms and mechanics of solid materials. Topics include: nature of brittle and ductile fracture, macro-phenomena and micro-mechanisms of failure of various materials, mechanisms of fatigue; crack nucleation and propagation, Griffith theory, stress field at crack tips, stress intensity factor and fracture toughness, crack opening displacement, energy principle and the J-integral, fracture mechanics in fatigue, da/dN curves and their significance. Practical examples of fatigue analysis and fundamentals of non-destructive testing.

Materials parameters and electronic properties of semiconductors are discussed as basic factors in the engineering of semiconductor devices. Materials parameters are related to preparation and processing methods, and thus to the electronic properties. The implications of materials parameters and properties on selected simple devices are discussed.

The course provides participants with an understanding of scientific and engineering investigation methods and tools to assess potential sources, causes and solutions for prevention of failure due to natural accidents, fire, high and low speed impacts, design defects, improper selection of materials, manufacturing defects, improper service conditions, inadequate maintenance and human error. The fundamentals of accident reconstruction principles and procedures for origin and cause investigations are demonstrated through a wide range of real world case studies including: medical devices, sports equipment, electronic devices, vehicular collisions, structural collapse, corrosion failures, weld failures, fire investigations and patent infringements. Compliance with industry norms and standards, product liability, sources of liability, proving liability, defense against liability and other legal issues will be demonstrated with mock courtroom trial proceedings involving invited professionals to elucidate the role of an engineer as an expert witness in civil and criminal court proceedings.

Optical and photonic materials play a central role in a variety of application fields including telecommunications, metrology, manufacturing, medical surgery, computing, spectroscopy, holography, chemical synthesis, and robotics - to name a few. The properties of light and its interaction with matter lie at the heart of this ever-expanding list of applications. The syllabus comprises the nature of light, wave motion, lasers, interference, coherence, fibre optics, diffraction, polarized light, photonic crystals, metamaterials, plasmonic materials, and practical design applications.

The production and refining of liquid iron in the iron blast furnace, the production and refining of liquid steel, secondary refining operations, continuous casting and thermomechanical processing (hot rolling). Specialty steels and newly emerging technologies (e.g. thin slab casting, direct ironmaking) are also discussed in terms of process/environment and productivity. Downstream topics will include cold rolling, batch and continuous annealing, and coating operations.

Introduces computational design of materials at atomic scale by focusing on two of the most powerful techniques - density functional theory (DFT) and molecular dynamics (MD). At the heart of both these techniques lies atomistic understanding originating from quantum mechanics; thus the initial lectures will review basics of quantum mechanics to inspire the foundational principles of modern-day DFT approaches. Thereafter theoretical background of DFT and its implementation and application for materials design will be covered. Specific topics on DFT will include Kohn-Sham equations, plane-wave basis sets, exchange and correlation, and nudged-elastic band calculations. Topics concerning MD will include foundational principles, Born-Oppenheimer hypothesis, time integration schemes such as velocity-verlet scheme, and interatomic potential functions. Finally, students will be exposed to the concepts and case-studies pertaining to multi-scale modeling. A particular emphasis of the course is providing hands-on training on open source software packages such as VESTA, Quantum-ESPRESSO, and LAMMPS.

Currently used biomaterials for formation of surgical implants and dental restorations include selected metals, polymers, ceramics, and composites. The selection and processing of these materials to satisfy biocompatibility and functional requirements for applications in selected areas will be presented. Materials used for forming scaffolds for tissue engineering, and strategies for repair, regeneration and augmentation of degenerated or traumatized tissues will be reviewed with a focus on biocompatibility issues and required functionality for the intended applications.

Various production processes use simulation software to shorten the route from the initial design to finished product. Simulation software provides the designer and practicing engineer with a powerful tool in the tasks of improving and optimizing the industrial processes. Expensive trials can be avoided and the quality of the finished product secured from the beginning of production. First, this course will cover the basics of the process simulation used in industrial setting. Subsequently, the course will focus on industrial process simulation software used extensively in foundry industry worldwide. Essential elements of CAD/CAM techniques will be covered. Numerical simulation of the filling and solidification in castings will be presented. Calculation of foundry processes with multiple production cycles will be analyzed. Another course feature will be the graphical presentation of the results on the screen. Limited enrolment.

The unique surface properties and the ability to surface engineer nanocrystalline structures renders these materials to be ideal candidates for use in corrosion, catalysis and energy conversion devices. This course deals with the fabrication of materials suitable for use as protective coatings, and their specific exploitation in fields of hydrogen technologies (electrolysis, storage, and fuel cells) linked to renewables. These new devices are poised to have major impacts on power generation utilities, the automotive sector, and society at large. The differences in observed electrochemical behavior between amorphous, nanocrystalline and polycrystalline solid materials will be discussed in terms of their surface structure and surface chemistry. A major team design project along with demonstrative laboratory exercises constitutes a major portion of this course. Limited Enrolment.

Various synthesis techniques to produce nanostructured materials will be introduced. These include methods involving the vapor phase (physical and chemical vapor deposition, organometallic chemical vapor deposition), the liquid phase (rapid solidification, spark erosion), the solid phase, (mechanical attrition, equal channel deformation) as well techniques producing these structures from solution (electrodeposition, electroless processing, precipitation). Secondary processing techniques to produce final products or devices will also be discussed.

The unique combinations of physical, electrical, magnetic, and thermomechanical properties exhibited by advanced technical ceramics has led to a wide range of applications including automobile exhaust sensors and fuel cells, high speed cutting tool inserts and ball bearings, thermal barrier coatings for turbine engines, and surgical implants. This course examines the crystal and defect structures which determine the electrical and mass transport behaviours and the effects of microstructure on optical, magnetic, dielectric, and thermomechanical properties. The influence of these structure-property relations on the performance of ceramic materials in specific applications such as sensors, solid oxide fuel cells, magnets, and structural components is explored.

Electron quantum wave theory of solid-state materials will be introduced. Quantum phenomena in various materials systems, in particular nano materials, will be discussed. Electronic properties of materials such as charge transport, dielectric properties, optical properties, magnetic properties, and thermal properties will be discussed using appropriate quantum theory. Materials systems to be studied may include metals, semiconductors, organics, polymers, and insulators.

In this course students will be exposed to the applications of machine learning for materials design, including physical metallurgy, catalysis and mechanics of materials. We will begin by conducting a review of statistical and numerical methods, and programming in R and Python. Then, the most important machine learning techniques of relevance to materials science will be described. This will include linear, nonlinear and logistic regression, decision trees, artificial neural networks, deep learning, supervised and unsupervised learning. Thereafter, the students will be provided hands-on experience on analyzing data and apply ML approaches through a set of case studies, pertaining to alloy design, additive manufacturing, and catalyst design. Finally, students will apply these skills through a term project on materials science problem of their interest.

Due to the broad nature of course topics, we encourage students from Chem Eng, MIE, Chemistry, and other departments.

Understanding how different materials fail is a key design consideration in materials science. In this course students will be exposed to the mechanisms leading to the damage and failure of engineering materials, and modeling of failure at atomic and continuum levels. First, we will describe different mechanisms by which various materials fail, including metals, alloys, ceramics, composite materials, and nanomaterials; and the nature of failure – brittle vs. ductile. Then, various approaches to model and analyze damage and failure in materials will be discussed, including finite element-based failure analysis at the macroscale, and molecular dynamics at the atomic scale. Hands-on practice will be provided through practical case studies using softwares. Finally, students will apply these skills through a term project on a materials science problem of their interest.

The one-week intensive course includes additive manufacturing (AM) process fundamentals, material properties, design rules, qualification methods, cost and value analysis, and industrial and consumer applications of AM. Particular emphasis will be placed on AM technologies for metals and other advanced materials (ceramics and composites), and related design principles and part performance. The AM techniques introduced in this course include, but are not limited, to selective laser melting, direct metal deposition, wire arc deposition, cold spray, powder binder jetting, electroplating, fused deposition modeling (FDM) and stereolithography (SLA).

Lab activities (virtual / hands-on) involving both desktop and industrial-grade 3D printers for metals, ceramics and composites, addressing the full workflow from design to characterization. Several interactive case studies which deploy quantitative analysis tools discussed in lecture to solve a real or imagined market or business need. Virtual / in-person visits to local AM startups and an AM equipment provider/integrator. A multidisciplinary team of speakers including industry experts, and special guest speakers (some are U of T Alumni). This course provides students with a comprehensive understanding of AM technology, its applications, and its implications both now and in the future.

The various roles of a practicing engineer in industry and society will be presented through a series of seminars. The lecturers will include practicing engineers from local companies and consulting firms and representatives from professional and technical societies.

The course offers an opportunity to carry out an independent research under the supervision of an academic staff for the students interested in expanding their research capabilities. The students will submit a proposal in the beginning of the course that describes the problem and work plan together with an estimate of the level of effort (hours of work). The grading will be based on a final report and presentation, assessed by a minimum of two faculty members. Students may take this as a half-credit course in the F semester or complement it with the equivalent S semester course for a full credit, in the case of more extensive thesis projects in consultation with the supervising faulty.

The course offers an opportunity to carry out an independent research under the supervision of an academic staff for the students interested in expanding their research capabilities. The students will submit a proposal in the beginning of the course that describes the problem and work plan together with an estimate of the level of effort (hours of work). The grading will be based on a final report and presentation, assessed by a minimum of two faculty members. Students may take this as a half-credit course in the S semester or complement it with the equivalent F semester course for a full credit, in the case of more extensive thesis projects, in consultation with the supervising faulty.

The students, working in small groups complete a project involving design of a materials processing plant, leading to a design report delivered at the conclusion of the course. The topics covered in the lectures and design process include basic materials processing flowsheet for primary processing and recycling of materials, materials and energy balance of individual units and of overall process flowsheets, use of computer software for flowsheet evaluation, translating process flowsheets to resource and utility requirements, energy analysis, capital/operating cost, basics of equipment sizing, operation scheduling, safety and HAZOP, plant layout, and design for sustainability.

This course is designed to provide an integrated approach to composite materials design, and provide a strong foundation for further studies and research on these materials. Topics include: structure, processing, and properties of composite materials; design of fillers reinforcements and matrices reinforcements, reinforcement forms, nanocomposites systems, manufacturing processes, testing and properties, micro and macromechanics modeling of composite systems; and new applications of composites in various sectors.

Mechanics forms the basic background for the understanding of physics. This course on Classical, or Newtonian mechanics, considers the interactions which influence motion. These interactions are described in terms of the concepts of force, momentum and energy. Initially the focus is on the mechanics of a single particle, considering its motion in a particular frame of reference, and transformations between reference frames. Then the dynamics of systems of particles is examined.

The first half of the semester will give an introduction to the basic ideas of classical oscillations and waves. Topics include simple harmonic motion, forced and damped harmonic motion, coupled oscillations, normal modes, the wave equation, travelling waves and reflection and transmission at interfaces. The second half of the semester will first give an introduction to Einstein's special relativity, including evidence for the frame-independence of the speed of light, time dilation, length contraction, causality, and the relativistic connection between energy and momentum. Then we will follow the historical development of quantum mechanics with the photo-electric and Compton effects, the Bohr atom, wave-particle duality, leading to Schrödinger's equation and wave functions with a discussion of their general properties and probabilistic interpretation.

The first half of the semester will continue with the development of quantum mechanics. Topics will include Shrödinger's wave mechanics, tunneling, bound states in potential wells, the quantum oscillator, and atomic spectra. The second half of the semester will give an introduction to the basic ideas of classical statistical mechanics and radiation, with applications to experimental physics. Topics will include Boltzmann's interpretation of entropy, Maxwell-Boltzman statistics, energy equipartition, the perfect gas laws, and blackbody radiation.

Experiments in this course are designed to form a bridge to current experimental research. A wide range of experiments are available using contemporary techniques and equipment. In addition to the standard set of experiments a limited number of research projects are also available. Many of the experiments can be carried out with a focus on instrumentation.

Experiments in this course are designed to form a bridge to current experimental research. A wide range of experiments are available using contemporary techniques and equipment. In addition to the standard set of experiments, a limited number of research projects may be available. This laboratory is a continuation of PHY327H1.

An introduction to microeconomics, for application in public policy analysis. Designed specifically for students with training in calculus and linear algebra, and who are pursuing a certificate in public policy, the course will explore preference and choice, classical demand theory and the utility maximization problem as well as expenditure minimization problem, welfare evaluation of economic changes, regression analysis and ordinary least squares.

Knowledge of how governmental and non-governmental institutions work is essential to the study and development of public policy. This course will examine the formation, consequences and dynamics of institutions – from legislatures and courts to militaries and interest groups – in both democratic and authoritarian societies. We will also consider how institutions inform the relationship between individuals and the state, and how these social structures are instruments of policy implementation.

This course introduces students to the field of public policy - the means by which governments respond to social issues – and considers both why and how governments respond in these ways. To that end, we’ll examine the policy cycle, including how policy is proposed, made and reformed, as well as the role of regulation. And we’ll explore both theories of public policy and case studies of policy-making in action.

The course is intended to provide an introduction and a very interdisciplinary experience to robotics. The structure of the course is modular and reflects the perception-control-action paradigm of robotics. The course, however, aims for breadth, covering an introduction to the key aspects of general robotic systems, rather than depth, which is available in later more advanced courses. Applications addressed include robotics in space, autonomous terrestrial exploration, biomedical applications such as surgery and assistive robots, and personal robotics. The course culminates in a hardware project centered on robot integration.

The course addresses advanced mathematical concepts particularly relevant for robotics. The mathematical tools covered in this course are fundamental for understanding, analyzing, and designing robotics algorithms that solve tasks such as robot path planning, robot vision, robot control and robot learning. Topics include complex analysis, optimization techniques, signals and filtering, advanced probability theory, and numerical methods. Concepts will be studied in a mathematically rigorous way but will be motivated with robotics examples throughout the course.