Online and Remote Learning

Analyzing engineering projects and companies from an economic standpoint is important for any engineer. This course equips learners with the financial tools needed to make sound decisions about engineering projects and companies. It introduces core concepts like the time value of money and explores methods for comparing investment alternatives, such as present and future worth analysis. Learners will master calculating interest rates and cash flows, both crucial for project evaluation. The course also tackles methods to assess project viability, including payback period and internal rate of return analysis, while considering depreciation methods in a tax context and financial statement analysis to understand organizations’ financial position better. This course will ensure you can make best economic decision in addition to the best technical decision. This course offers engineering knowledge that participants may consider for their continuous professional development needs. As well, if you are required to pass the professional engineering examination in Engineering Economics to get a P.Eng. license in Canada, this course will improve your chances. Case studies and reviews of past exams will build your knowledge and confidence. Financial assistance may be available to eligible Ontario residents through the Ontario Bridging Participant Assistance Program (OBPAP) provided by the Ministry of Training, Colleges and Universities (MTCU). Please email scs.liep@utoronto.ca, or call 905.569.4508 for details. Apply up-to-date concepts and methods of engineering economics in a Canadian setting. Compare engineering projects and choose the one with the best prospects for success. Calculate time-value equivalence, normal and effective interest rate, cash flows and other metrics. Analyze financial statements, effect of inflation and leasing alternatives. Identify and manage uncertainty and risk.

If you are required to pass the professional engineering examination in Elementary Structural Analysis to get a P.Eng. licence in Canada, this examination preparation course will improve your chances. It will also help you to refresh and update your knowledge in this field. You'll cover the syllabus with like-minded colleagues, guided by expert instructors through live interactive online webinars and discussion board. You'll learn about the nature of loads and restraints, and structural elements such as beams, trusses and frames. You will identify unstable structures and calculate appropriate support responses. Case studies, reviews of past exams, extensive problem-solving exercises and networking with other engineers will build your knowledge and confidence. Financial assistance may be available to eligible Ontario residents through the Ontario Bridging Participant Assistance Program (OBPAP) provided by the Ministry of Training, Colleges and Universities (MTCU). Please email scs.utm@utoronto.ca, or call 905.569.4508 for details. Demonstrate your understanding of the basic principles of structural analysis. Identify unstable structures and calculate responses. Analyze indeterminate structures and distribution methods. Distinguish statically indeterminate structures and their degree of indeterminacy. Draw complete free-body diagrams of structural assemblies and components.

Improve your prospects of passing the professional examination in Geotechnical Materials & Analysis for a P.Eng. licence in Canada. Working with colleagues, guided by expert instructors, through live interactive online webinars and discussion board, you'll learn the theories and principles of soil mechanics and geotechnical engineering. You'll study and classify physical properties of soil, including permeability, distribution and contact pressure. You'll learn how to use cutting-edge computer programs. Case studies, reviews of past exams, extensive problem-solving exercises, assignments and networking with other engineers will build your knowledge and confidence. Financial assistance may be available to eligible Ontario residents through the Ontario Bridging Participant Assistance Program (OBPAP) provided by the Ministry of Training, Colleges and Universities (MTCU). Please email scs.utm@utoronto.ca, or call 905.569.4508 for details. Define, analyse and classify soil compositions and their characteristics. Understand the principles of soil mechanics and groundwater hydraulics. Use flow nets to compute velocity and discharge of two-dimensional groundwater flows. Know the principle of effective vertical-stress distribution. Compute settlement, consolidation and compression of certain soil materials.

This course is part of the Certificate in Licensing International Engineers into the Profession (LIEP)  Civil Engineering program. It prepares the participants for the PEO examination on Elementary Structural Design that confirms their knowledge in the field for P.Eng. License.  Learners will be exposed to the theories and concepts of wood, concrete and steel design and analysis both at the element and system levels. Upon completion of the course, learners will have developed a better understanding of the basic principles of structural design. This course is intended to provide the learners with the skills and knowledge required for effective design of steel, reinforced concrete and wood members using the current editions of Canadian design codes. A review of elementary structural analysis, with the emphasis on calculation of bending moments will be provided. Limit state design will be introduced and loading due to use and occupancy, snow, wind and earthquake will be discussed. The course also covers the elementary design concepts and procedures for design of connections, tension members, beams and columns and illustrates their application through design examples. Financial assistance may be available to eligible Ontario residents through the Ontario Bridging Participant Assistance Program (OBPAP) provided by the Ministry of Training, Colleges and Universities (MTCU). Please email scs.utm@utoronto.ca, or call 905.569.4508 for details. Calculate the factored loads due to use and occupancy, snow, wind and earthquake.  Calculate properties of built-up steel sections. Analyze steel members to determine their axial or flexural capacity.  Design steel tension, compression or flexural members to satisfy the limit states.  Determine number and arrangement of bolts and design welded connections in steel structures. Design rectangular reinforced concrete beams or T-sections for factored shear forces or bending moments. Determine the shear or flexural resistance of rectangular reinforced concrete beams or T-section. Design reinforced concrete columns subjected to axial load and bending.  Design wood columns /beams to satisfy the limit states. Design two-way bending wood members (e.g. purlins) for different service conditions. 

Improve your prospects of passing the professional engineering examination in Geotechnical Design for a P.Eng. licence in Canada. Working with like-minded colleagues, guided by expert instructors, you'll learn about soil physics and mechanics through online interactive webinars and discussion board. You'll study the geotechnical properties of soil and related topics, including seepage control, bearing capacity, deep foundation design, retaining walls and computer design of long-term stable slopes. Case studies, reviews of past exams, extensive problem-solving exercises and networking with other engineers will build your knowledge and confidence. OBPAP bursaries of up to $5,000 may be available to eligible Ontario residents. Understand the principles of geotechnical design from theory to practice. Apply basic knowledge of shearing resistance in spread/strip footing design Analyze soil lateral pressure to design more stable retaining walls. Quantify seepage effect on slope stability for better long-term slope design. Use computer modeling to assess slope stability.

This course is designed to allow the learner to master the fundamentals of applied thermodynamics and heat transfer through the study of relevant concepts applied to engineering thermal systems. Theoretical principles of thermal science are applied to a variety of thermal systems of interest in our society, such as power generation, propulsion, refrigeration and air conditioning, and heat exchangers for domestic and industrial applications. This course offers engineering knowledge that participants may consider for their continuous professional development needs. As well, if you are required to pass the professional engineering examination in Applied Thermodynamics & Heat Transfer to get a P.Eng license in Canada, this course will improve your chances. Case studies and reviews of past exams will build your knowledge and confidence.  Financial assistance may be available to eligible Ontario residents through the Ontario Bridging Participant Assistance Program (OBPAP) provided by the Ministry of Training, Colleges and Universities (MTCU). Please email scs.liep@utoronto.ca, or call 905.569.4508 for details. Identify and describe different thermodynamic systems and mechanisms of heat transfer. Apply thermodynamic principles to solve cycles involving heat and work conversion. Sketch thermodynamic diagrams of processes and cycles. Recommend modifications to improve performances and efficiency. Create simplified heat transfer models for heat exchangers.

The course is designed to allow learners to refresh their knowledge in the field of fluid machinery. You'll learn about pumps, fans, turbines, and other turbomachines. Conditions such as cavitation in pumps and turbines, stall in compressors, and choke in turbines are covered. You'll learn to select the best one for the job, based on performance characteristics, thermodynamic analysis, and efficiency definitions.  This course offers engineering knowledge that participants may consider for their continuous professional development needs. As well, if you are required to pass the professional engineering examination in Fluid Machinery to get a P.Eng license in Canada, this course will improve your chances. Case studies and reviews of past exams will build your knowledge and confidence.  Financial assistance may be available to eligible Ontario residents through the Ontario Bridging Participant Assistance Program (OBPAP) provided by the Ministry of Training, Colleges and Universities (MTCU). Please email scs.liep@utoronto.ca, or call 905.569.4508 for details. Know the basic aspects of pumps, fans, compressors, and turbines (driven by water, steam, gas, and wind). Understand system regulation, momentum and energy transfer, thermodynamic analysis, and efficiency definitions. Determine the effect of various system parameters on turbomachine performance. Choose the right turbomachine to match the needs of a given system. Apply similarity laws and other factors to determine performance.

The course if designed to allow learners to refresh their knowledge in the field of fluid mechanics. The purpose is to present enough fundamental concepts and practical applications to prepare learners to smoothly interpret and solve problems involving fluid motions.  You'll gain proficiency in fluid mechanics and its most important mathematical relations to be able to solve problems in areas such as Computational Fluid Dynamic (CFD), power generation, pipes and piping systems, oil and gas transportation, meteorology, and immerse body applications. Important applications in hydrostatics, hydrodynamics, aerodynamics, jets, open and closed channel flows will also be covered. This course offers engineering knowledge that participants may consider for their continuous professional development needs. As well, if you are required to pass the professional engineering examination in Advanced Fluid Mechanics to get a P. Eng license in Canada, this course will improve your chances. Case studies and reviews of past exams will build your knowledge and confidence. Financial assistance may be available to eligible Ontario residents through the Ontario Bridging Participant Assistance Program (OBPAP) provided by the Ministry of Training, Colleges and Universities (MTCU). Please email scs.liep@utoronto.ca, or call 905.569.4508 for details. Investigate the effects of viscosity in laminar and turbulent flows Identify and use fundamental mathematical relations to solve flow problems. Analyse and solve integral and differential equation forms of conservation of mass, momentum, and energy. Find and describe supplementary concepts such as vorticity, stream functions, and velocity potential. Identify, solve, and sketch elementary two-dimensional potential flows. Define the one-dimensional compressible flow for an inviscid perfect gas; analyze isentropic flow through nozzles. Use one-dimensional steady flow relations to solve normal shock waves. Understand frictional compressible flow in conduits.

If you're pursuing a P.Eng. licence in Canada, and are required to pass the technical examination in Circuits, this course will improve your chances. It will also help you to refresh and update your knowledge in the field. You'll cover the entire syllabus in a structured learning environment, led by expert instructors through live interactive online webinars and discussion board. Working with other professionals, you'll learn basic theory and principles, solve problems and answer model questions from past exams. You'll emerge prepared to show your knowledge of circuits and how their components interact. Financial assistance may be available to eligible Ontario residents through the Ontario Bridging Participant Assistance Program (OBPAP) provided by the Ministry of Training, Colleges and Universities (MTCU). Please email scs.utm@utoronto.ca, or call 905.569.4508 for details. Explain basic electrical concepts, including charge, current, potential, power and energy. Use nodal and mesh analysis to solve circuit problems. Analyze circuits using sinusoidal inputs, frequency response and transfer functions. Use differential equations to analyse circuits in steady state and transient conditions Develop techniques to solve circuits including two-port terminals.

This course is designed for learners seeking to refresh their knowledge in the field of Power Systems and Machines. You’ll understand the theories and principles underlying power systems and machines - the backbone of electrical systems and industrial automation. You will explore how electrical devices and energy converters contribute to the creation of more flexible and efficient industrial processes. This course offers engineering knowledge that participants may consider for their continuous professional development needs. As well, if you are required to pass the professional engineering examination in Power Systems & Machines to get a P.Eng. license in Canada, this course will improve your chances. Case studies and reviews of past exams will build your knowledge and confidence.  Financial assistance may be available to eligible Ontario residents through the Ontario Bridging Participant Assistance Program (OBPAP) provided by the Ministry of Training, Colleges and Universities (MTCU). Please email scs.liep@utoronto.ca, or call 905.569.4508 for details. Understand the generation, transmission, and consumption of electrical power Explain the concepts related to magnetic circuits and electromechanical energy conversion Analyze and explain the operating principles of electric machines, including AC machines such as synchronous and induction motors, transformers, and DC machines Examine basic electrical power systems and estimate the flow of active and reactive power Utilize appropriate computational tools and techniques to model, analyze, and interpret results for power system and electric machine problems