This course on Newtonian mechanics considers the interactions which influence 2-D, curvilinear motion. These interactions are described in terms of the concepts of force, work, momentum and energy. Initially the focus is on the kinematics and kinetics of particles. Then, the kinematics and kinetics of systems of particles and solid bodies are examined. Finally, simple harmonic motion is discussed. The occurrence of dynamic motion in natural systems, such as planetary motion, is emphasized. Applications to engineered systems are also introduced.

This online-only course focuses on the fundamental tools of calculus and its connections to engineering. The topics include limits, differentiation, graphing, optimization problems, and definite and indefinite integrals. Problems combining calculus with geometry, linear algebra, statics, and mechanics will be examined.

This online-only course focuses on the fundamental tools of calculus and its connections to engineering. The topics include methods of integration, an introduction to differential equations, series and Taylor series, vector differentiation, and partial differentiation. Problems combining calculus with geometry, linear algebra, statics, and mechanics will be examined.

This online course is structured around the principle of structure-property relationship. This relationship refers to an understanding of the microstructure of a solid, that is, the nature of the bonds between atoms and the spatial arrangement of atoms, which permits the explanation of observed behaviour. Observed materials behaviour includes mechanical, electrical, magnetic, optical, and corrosive behaviour. Topics covered in this course include: structure of the atom, models of the atom, electronic configuration, the electromagnetic spectrum, band theory, atomic bonding, optical transparency of solids, magnetic properties, molecular bonding, hybridized orbitals, crystal systems, lattices and structures, crystallographic notation, imperfections in solids, reaction rates, activation energy, solid-state diffusion, materials thermodynamics, free energy, and phase equilibrium.

This is a seminar series that will preview the core fields in Engineering. Each seminar will highlight one of the major areas of Engineering. The format will vary and may include application examples, challenges, case studies, career opportunities, etc. The purpose of the seminar series is to provide first year students with some understanding of the various options within the Faculty to enable them to make educated choices for second year. This course will be offered on a credit/no credit basis.

An independent research project conducted in an engineering laboratory at an approved partner institution abroad for 10-16 weeks in the summer term. This course is intended for students who will have completed their 2nd or 3rd year of study by the time they take the course. Students must apply for this program through the Centre for International Experience in the fall term and will be notified by January if they are accepted. Students should inquire with their home department to determine whether the course can count towards their degree requirements. For more information, please contact the Cross-Disciplinary Programs Office at cdp@ecf.utoronto.ca. 

Complimentary Studies Elective
Core Course in the Sustainable Energy Minor
Introduction to public policy including the role and interaction of technology and regulation, policy reinforcing/feedback cycles; procedures for legislation and policy setting at the municipal, provincial and federal levels; dimensions of energy policy; energy planning and forecasting including demand management and conservation incentives; policy institution, analysis, implementation, evaluation and evolution; Critical analyses of case studies of energy and associated environmental policies with respect to conservation and demand management for various utilities and sectors; policy derivatives for varied economic and social settings, developing countries and associated impacts.

This is an interdisciplinary and multi-university project-based course focused on positively impacting the complex sustainability challenges faced by real-world communities around the world. Throughout this course, students work in small (three to five person) interdisciplinary and multi-university teams in order to (1) identify and understand a well-defined sustainability (social and/or environmental) problem faced by a real-world community, and then (2) devise, design and propose an implementable idea for positively impacting that problem. During the course, students are provided with multiple facilitated and structured opportunities to: engage directly with local stakeholders from the community their team is focused on; receive mentorship from a global network of experienced sustainability and innovation experts; and collaborate with a diverse array of students from other disciplines and institutions working on similar sustainability problems with other communities around the world.

Admission to this course will be by application, which will be available starting in June. Initial round of applications will be reviewed prior to the course enrollment date and on an periodic basis after that if spaces become available.

A basic introduction to the history, technology, programming and applications of the fast evolving field of deep learning. Topics to be covered may include neural networks, autoencoders/decoders, recurrent neural networks, natural language processing, and generative adversarial networks. Special attention will be paid to fairness and ethics issues surrounding machine learning. An applied approach will be taken, where students get hands-on exposure to the covered techniques through the use of state-of-the-art machine learning software frameworks.

A multi-disciplinary introduction to key aspects of electric vehicle design, taught in modular form. Sub-system design perspective: electrical, mechanical, battery, powertrain and control; vehicle design; Manufacturing perspective: battery manufacturing, and life cycle; Industry 4.0 Automation perspective: vehicle-, manufacturing-, and city-level; Future directions: electrification, smart-grid, supply chains, and infrastructure

Humanities and Social Science Elective

The role of technology and engineering in global development is explored through a combination of lectures, readings, case studies, and analysis of key technologies, including energy, information and communications technologies, water and healthcare. Topics include a brief history and basic theories of international development and foreign aid, major government and non-government players, emerging alternative models (social entrepreneurship, microfinance, risk capital approaches), major and emerging players in social venture capital and philanthropy, the role of financial markets, environmental and resource considerations/sustainable development, technology diffusion models and appropriate technologies.

Despite the best of engineering practices, spectacular failures of complex technological systems occur regularly. Traditional engineering explanations for the causes of accidents utilize eventchain models and often blame operators. This course highlights the limitations of such models and shows that accidents in sociotechnical systems can be better understood using systems engineering. Further insights are provided by reviewing various sociological theories that have been advanced to explain and prevent accidents.

Provides new perspectives on safety and human error and shows how to incorporate humans in complex automated systems using systems thinking. Risk assessment of a sociotechnical system identifies hazards that can result in human, material or
environmental losses, the likelihood of such hazardous events, and their consequences. This project-based course combines theory and practice to present a system-theoretic approach to risk assessment.

An introduction to the disciplines of public health and the connections with engineering; quantitative and qualitative public health methods including study designs and statistical analysis; legal, regulatory and ethical frameworks applicable to public health; the structure and regulation of the public health and health care system; examples of common public health hazards to illustrate public health toxicology, exposure measurement and modelling, data analysis and prevention strategies.

An experience in multi-disciplinary engineering practice through a significant, open-ended, client-driven design project in which student teams address stakeholder needs through the use of a creative and iterative design process.

Instruction of concepts, theories, and research but most importantly the practice of negotiation skills. The course will cover all kinds of negotiations scenarios that individuals might face in the course of their careers as Engineers; this could include a range of single-issue single-party negotiations to multi-party multi-issues negotiations.

This course will focus on capital budgeting, financial optimization, and project evaluation models and their solution techniques. In particular, linear, non-linear, and integer programming models and their solutions techniques will be studied. The course will give engineering students a background in modern capital budgeting and financial techniques that are relevant in practival engineering and commercial settings.

Complementary Studies elective

A broad range of global energy systems are presented including electricity generation, electricity end use, transportation and infrastructure. Discussions are based on two key trends: (a) the increasing ability to deploy technologies and engineering systems globally, and (b) innovative organizations, many driven by entrepreneurship (for profit and social) and entrepreneurial finance techniques. The course considers these types of innovations in the context of developed economies, rapidly developing economies such as India and China, and the developing world. The course will interweave a mix of industry examples and more in-depth case studies. The examples and cases are examined with various engineering, business and environmental sustainability analysis perspectives.

Teaches the process of preparing a patent application for an invention for engineers and scientists. Teaches methods to take an invention from conception to a level that a patent application can be filed on it. Describes how to write an invention disclosure. Describes how to prepare the background section, brief listing of figures, detailed description of the invention, independent and dependent claims, abstract, and artwork. Teaches use of patent search engines.

Develops simple, powerful tools and strategies for designing, starting, growing, managing, changing, fixing and evolving successful organisations in the engineering industry. It is highly practical, develops a model for analysing an organisation and then applies it in clear simple steps. The curriculum is designed for Engineers looking to lead organisations, commercialise product ideas or manage change in existing institutions.

Engineering design within the context of global society, emphasizing the needs of users in order to support appropriate, sustainable technology. A design project will comprise the major component of the course work. The course will take the approach of "design for X". Students are expected to be familiar with design for functionality, safety, robustness, etc. This course will extend the students' understanding of design methodologies to design for "appropriateness in developing regions". Readings and discussions will explore the social, cultural, economic, educational, environmental and political contexts in which third world end users relate to technology. Students will then incorporate their deepened understanding of this context in their design project. The projects will be analyzed for functionality as well as appropriateness and sustainability in the third world context. Upon completion of the course, students should have a deeper appreciation of the meaning of appropriate technology in various international development sectors such as healthcare, water & sanitation, land management, energy, infrastructure, and communications in both urban and rural settings.

Introduction to connecting engineering and biological approaches to solve problems in medicine, science, and technology. Emphasis is placed on demonstrating the connection between organ level function with cellular mechanisms. Topics may include, but are not limited to: design principles of biological systems, medical devices, overviews of anatomy and physiology, and cellular mechanisms as they relate to biotechnological and medical technology applications. Laboratories will provide hands-on experiences with selected concepts and encourage students to understand how to connect their own vital and physiologic signs to current medical technologies.

The emphasis of the course is on applying the logic of patents to diverse cases of products through biology and biomedical engineering. A commercial context will be ever present the case studies. Students will work in teams on these problems in class. Students will learn to apply tests for obviousness, inventiveness, novelty and enablement based on the use of these tests in technology patents in the past. Claim construction will be introduced towards the end of the course to learn how technologies can be protected in considering a patent. There will be papers for reading in this course but no textbook. This course is designed for senior undergraduate students (3-4 year).

Introduces physiological concepts and selected physiological control systems present in the human body, and proposes quantitative modeling approaches for these systems. Topics covered will include (1) the endocrine system and its subsystems, including glucose regulation and the stress response, (2) the cardiovascular system and related aspects such as cardiac output, venous return, control of blood flow by the tissues, and nervous regulation of circulation, and (3) the nervous and musculoskeletal systems, including the control of voluntary motion. Linear control theory will be used to develop skills in system modeling and examine concepts of system response and system control in the context of a healthy human body.

Introduction to modeling of physiological control systems present in the human body, combining physiology, linear system modeling and linear control theory. Topics include: representation of physical systems using differential equations and linearization of these dynamic models; graphical representation of the control systems/plants; Laplace transforms; transfer functions; performance of dynamic systems; time and frequency analysis; observability and controllability; and close-loop controller design.

An introduction to the principles and design of fundamental technologies used in biomedical engineering research. Topics may include but are not limited to tissue culture; spectroscopy; electrophoresis; PCR, genomics, sequencing technologies, and gene expression measurement; protein expression assays and tagging strategies; fluorescence labeling tools, microscopy, and high content imaging; DNA manipulation and transfection, RNAi, and other genetic and molecular tools for transformation of organisms. Laboratories will provide hands-on experience with selected technologies. Students will engage in a major design project in which they will design an experimental plan to investigate a specific research question, also of their design, utilizing available laboratory technologies.

An introduction to human anatomy and physiology with selected focus on the nervous, cardiovascular, respiratory, renal, and endocrine systems. The structures and mechanisms responsible for proper function of these complex systems will be examined in the healthy and diseased human body. The integration of different organ systems will be stressed, with a specific focus on the structure-function relationship. Application of biomedical engineering technologies in maintaining homeostasis will also be discussed.

An introduction to the science of biomaterials, focusing on polymeric biomaterials and biocompatibility. Topics include biomaterial surface analysis, hydrogel rheology and swelling, protein adsorption, cell adhesion and migration and the foreign body response. Primary focus is on implantable biomaterials but some attention will be given to applications of biomaterials in biotechnology and drug delivery. Specific device or other examples as well as the research literature will be used to illustrate the topic at hand.

Topics to be covered will include: Building blocks of the living cell; thermodynamics of living systems: interactions and kinetic energy, equilibrium and non-equilibrium processes, entropy, temperature, free energy and chemical potential ; diffusion and friction in liquids, Brownian motion; membrane potential, ion pumps and nerve cells; light and molecules: photon absorption and fluorescence; light microscope, fluorescence as a window into cells, optogenetics and fluorescent reporters; two-photon excitation and fluorescence resonance energy transfer; the eye, image formation, and color vision; structural color in animals.

Tissue engineering is largely based on concepts that emerged from developmental biology. This course provides an introduction to the study of animal development, both at the cellular and molecular levels. Topics include developmental patterning, differential gene expression, morphogenesis, stem cells, repair and regeneration.