Ce cours permet aux étudiants d'acquérir et d'approfondir leur capacité à comprendre et analyser les aspects caractérisant les changements effectués au sein de l'État à travers le monde. L'accent sera mis sur les fondements de l'analyse comparative; la construction d'une grille d'analyse des réformes administratives, sur la base des principales théories et approches existantes; l'analyse du cas canadien, en comparaison avec quelques expériences internationales en contexte fédéral francophone et bilingue. Note: Ce cours n'est pas accessible aux étudiants ayant ou postulant des crédits pour MAFSJ 573 ayant la même thématique.

Students are introduced to the marketing concept and the role of marketing within the overall business framework. The basic tools of marketing are introduced: market segmentation, positioning, product, price, distribution, and promotion, together with marketing research, consumer behaviour, planning, and global marketing. A critical theme of the course is the need for the marketing mix to fit with the requirements of consumers, the competitive environment, company strengths, and community expectations. These issues are considered from strategic and tactical perspectives. Pre- or corequisites: ECON 101 or ECON 102 or ECON 204. Students may not receive credit for both MARK 201 and MARK 301.

Students are introduced to the scientific process of transforming data into insight for making better marketing decisions. Topics include: data-driven problem solving; design of surveys, focus groups, and experiments; analytical techniques for primary, secondary, and qualitative data; and machine learning basics. The course is taught as an end-to-end process, starting from problem framing, data collection, method selection, model building, and deployment. Applies Excel and open-source data analysis software. Advanced students can build on this course to prepare for taking the INFORMS CAP (Certified Analytics Professional) Exam. Prerequisite: MARK 301.

Explores the psychology behind consumer behavior and its implications for consumers and marketers. Internal factors (e.g., attention and perception, needs and motivation, learning and memory, emotion) and external factors (e.g., social influence, choice architecture) will be considered to gain theoretical and practical insights. This course emphasizes empirical research and considers how the evolving marketing landscape (e.g., digitization, technology) interacts with basic psychological processes. Prerequisite: MARK 301.

This course introduces the student to the management of the marketing communication mix with an emphasis on the evolving nature of digital marketing communication tools. It focuses on the techniques used for marketing communications in an environment where consumer and cultural influences strongly interact with strategic marketing decisions to impact outcomes. The role of measurement analytics in the implementation of communications strategy is also examined. Prerequisite: MARK 301.

Analysis of problems of international marketing; development of marketing strategies in light of world cultural, economic, geographic, legal and political factors. Prerequisite: MARK 301.

The objective of this course is to provide students with the analytic, planning, and communication skills to be successful marketing managers. The focus is on practical marketing planning, along with the development and implementation of marketing strategies. Course activities may include the use of marketing simulation games, case analyses, field research projects, secondary research and in-depth discussion of current literatures. The course focuses on the integration of all the conceptual areas in marketing. Prerequisite: MARK 301. Restricted to third year students who have completed MARK 312 or MARK 320, or to fourth year students.

Marketing plays a large role in and is affected by corporate social responsibility (CSR) and sustainability issues. This course will explore, examine and inform how the marketing function of business activity engages in CSR and sustainability issues. Specific topics will cover how these issues are influenced by consumer trends and how they are communicated to consumers. Marketing problems found in the non-profit, for-profit and public sectors will be examined, and responsible (and irresponsible) marketing practices will be explored. Prerequisite: MARK 301.

Practical applications of marketing and related business skills and theory to a problem or issues addressed during a period of 13 weeks of summer placement in a sponsoring retailing or services organization. The internship includes preliminary instruction and requires, under the supervision of the Faculty, the presentation of a project report to the sponsoring organization. Prequisites: Mark 301 and consent of Department.

Practical application of marketing and related business skills and theory to a problem or issues addressed during a period of 13 weeks of summer placement in a sponsoring retailing or services organization. The internship includes preliminary instruction and requires, under the supervision of the Faculty, the presentation of a project report to the sponsoring organization. Prerequisites: MARK 301 and consent of Department.

Students are introduced to the important differences between marketing tangible products and marketing services. The unique nature of services is examined and the importance of service quality to both consumer and business to business customers, is emphasized. The marketing mix variables are discussed from the service perspective. Designing a marketing mix for service, not-for-profit and government institutions poses interesting and formidable challenges which are dealt with in terms of marketing planning, implementation and control. Trade barriers to the global marketing of services, together with other global service issues are also given attention. Prerequisite: MARK 301.

Students are introduced to the activities involved in connecting consumers with products and services through a combination of electronic commerce and traditional retail channels, with an emphasis on the integration of the two. Topics include: customer acquisition and retention, assortment selection, layout and design, service management, security, customer retargeting and re-engagement, physical location optimization, shopping behavior, pricing strategy and current trends. The application of marketing planning and analytics for e- commerce and retailing are also examined. Prerequisite: MARK 301.

The role of selling and management of the sales force in diverse modern business environments. Topics include sales strategies, sales force planning, organization and evaluation, recruiting, selection and training, leadership and motivation, sales forecasting quotas and types of compensation. Prerequisite: MARK 301.

This course examines the analysis, planning and implementation of marketing strategies, with a special emphasis on the role of brands in that process. Important elements of the course include the concept of brand equity (what it is, why it is important, how to develop and manage it, how to measure it), and the applied implementation of marketing strategies. Prerequisite: MARK 301.

This course provides an overview of various aspects of the sports marketing industry. This will encompasses three basic components: (1) an introduction to the broad sports marketing environment including marketing through sports and the marketing of sports products; (2) a detailed evaluation of the marketing strategies for an array of sports products; and (3) consideration of recent issues regarding the marketing of sports products. As a senior marketing course, a key objective is to facilitate the application of course concepts to contemporary market planning and decision making. Prerequisite: MARK 201 or 301

Normally restricted to third- and fourth- year Business students. Prerequisites: MARK 301 or consent of Department. Additional prerequisites may be required.

Preparation for Student Competition in Marketing. Prerequisite: consent of Instructor.

Completion of Student Competition in Marketing. Prerequisite: MARK 490 and consent of Instructor.

Special study for advanced undergraduates. Prerequisites: MARK 312 or equivalent, consent of Instructor and Associate Dean Undergraduate Program.

Special study for advanced undergraduates. Prerequisites: MARK 495, consent of the Instructor and Assistant Dean, Undergraduate Program.

Special study for advanced undergraduates. Prerequisites: MARK 496, consent of the Instructor and Assistant Dean, Undergraduate Program.

This course commences with an examination of core marketing concepts, including strategic marketing planning, segmentation and the marketing mix (product, price, place and promotion) and the integration of these concepts into a marketing plan. Specific focus is then provided to developing pragmatic skills regarding marketing effectiveness.

This course commences with an examination of core marketing concepts, including strategic marketing planning, segmentation and the marketing mix (product, price, place and promotion) and the integration of these concepts into a marketing plan. Specific focus is then provided to developing pragmatic skills regarding marketing effectiveness.

This course commences with an examination of core marketing concepts, including strategic marketing planning, segmentation and the marketing mix (product, price, place and promotion) and the integration of these concepts into a marketing plan. Specific focus is then provided to developing pragmatic skills regarding marketing effectiveness.

Students are introduced to the scientific process of transforming data into insight for making better marketing decisions. Topics include: data-driven problem solving; design of surveys, focus groups, and experiments; analytical techniques for primary, secondary, and qualitative data; and machine learning basics. The course is taught as an end-to-end process, starting from problem framing, data collection, method selection, model building, and deployment. Applies Excel and open-source data analysis software. Advanced students can build on this course to prepare for taking the INFORMS CAP (Certified Analytics Professional) Exam. Prerequisite: MARK 502.

The psychology behind consumer decision-making and its implications for marketing practice. Internal (e.g. attention and perception, needs and motivation, learning and memory) and external factors (e.g. social influence, situational influence) will be considered to gain theoretical and practical insights. Topics such as social media, word of mouth, and consumer-brand relationships are also covered. Prerequisite: MARK 502.

This course introduces the student to the management of the marketing communication mix with an emphasis on the evolving nature of digital marketing communication tools. It focuses on the techniques used for marketing communications in an environment where consumer and cultural influences strongly interact with strategic marketing decisions to impact outcomes. The role of measurement analytics in the implementation of communications strategy is also examined.

Topics in international marketing, including the importance of international marketing to Canadian business, comparative marketing systems, evaluation of socioeconomic influences on international marketing, and marketing strategies as they relate to firm size. Prerequisite: MARK 502.

Marketing plays a large role in and is affected by corporate social responsibility (CSR) and sustainability issues. This course will explore, examine and inform how the marketing function of business activity engages in CSR and sustainability issues. Specific topics will cover how these issues are influenced by consumer trends and how they are communicated to consumers. Marketing problems found in the non-profit, for-profit and public sectors will be examined, and responsible (and irresponsible) marketing practices will be explored. Prerequisite: MARK 502.

This course examines the analysis, planning and implementation of marketing strategies, with a special emphasis on the role of brands in that process. Important elements of the course include the concept of brand equity (what it is, why it is important, how to develop and manage it, how to measure it), and the applied implementation of marketing strategies. Prerequisites: MARK 502, and BUEC 502 or 503.

Topics may vary from year to year. Students should check with the MBA Office for pre/corequisites of specific sections.

The nature of scientific inquiry and its relevance and application to research in marketing. The development and testing of marketing theory. Marketing measurement methodology. Prerequisites: Registration in the Business PhD Program or permission of instructor. Approval of the Business PhD Program Director is also required for non-PhD students. Students may not receive credit for both MARK 701 and 710.

This course exposes students to various theoretical and substantive areas of consumer research. The overall objective of the course is for students to develop a depth of understanding that will enable them to identify interesting, novel research questions concerning consumption-related phenomena, thus establishing a foundation of conducting rigorous research in the domain of consumer behavior. Prerequisites: Registration in the Business PhD Program or permission of instructor. Approval of Business PhD Program Director is also required for non-PhD students.

This course will familiarize students with theories of cognitive information processing and affective processes as they relate to consumer judgments and decisions. More specifically, the cognitive component of this course will provide an intensive examination of memory, perception, attitude formation, and behavioural decision theory. The affect component of the course will deal with factors influencing affect formation as well as the impact of affect on attitudes and decision making. Research methods underlying each of these streams of information will be examined. Prerequisites: Registration in the Business PhD Program or permission of instructor. Approval of the Business PhD Program Director is also required for non-PhD students.

This course describes theoretical and empirical models used to analyze marketing management issues in the areas of product introduction and positioning, pricing, advertising, and distribution channels. The theoretical structure in the course comes from microeconomics of firm and consumer decision making, with special consideration of competitive issues analyzed with game theory and some applications of control theory. The empirical work draws from conjoint analysis, choice modeling, and multivariate techniques. Prerequisites: Registration in the Business PhD Program or permission of instructor. Approval of the Business PhD Program Director is also required for non-PhD students.

Recent and classic contributions to marketing theory development. The course addresses conceptual development and current practice in marketing decision-making. Topics critically examined include marketing orientation, competitive interaction, product development and introduction, channel relationship management, customer relationship management, advertising and promotion, pricing and revenues, and sales, service and quality. Prerequisites: Registration in the Business PhD Program or permission of instructor. Approval of the Business PhD Program Director is also required for non-PhD students.

Special studies for advanced students. Prerequisites: Registration in the Business PhD Program or permission of instructor. Approval of the Business PhD Program Director is also required for non-PhD students.

Understanding the role of marketing in determining the direction of an organization; the customer-focused organization; opportunity identification; forecasting demand; marketing segmentation; market planning, and implementation. Restricted to students registered in the MBA China Program.

Understanding the role of marketing in determining the direction of an organization; the customer-focused organization; opportunity identification; forecasting demand; marketing segmentation; market planning, and implementation. Restricted to executive MBA students only.

An introduction to the science of materials from the standpoint of the relationships between atomic, molecular and crystal structure to material properties. Atomic bonding, crystal structure and crystal imperfections. Structures of metallic, non-metallic and composite materials. Diffusion, electrochemical and corrosion properties; strengthening mechanisms, mechanical properties and failure; electrical conductors, semiconductors, and dielectrics; thermal, magnetic, and optical properties. Prerequisite: CHEM 105 or consent of Department.

An introduction to the science of materials relating their mechanical, thermal, electronic, and chemical properties to atomic, molecular, and crystal structure. Ceramic and metallic crystals, glasses, polymers, and composite materials. Multi-phase materials, phase transformations, and strengthening processes. Laboratories and seminars include mechanical properties of materials, microstructure, heat treatment of steel, and hands on design experiments. Prerequisite: CHEM 105 or consent of Department.

An introduction to the science of materials relating their mechanical, thermal, electronic, and chemical properties to atomic, molecular, and crystal structure. Ceramic and metallic crystals, glasses, polymers, and composite materials. Multi-phase materials, phase transformations, and strengthening processes. Laboratories and seminars include mechanical properties of materials, microstructure, heat treatment of steel, and hands on design experiments. Prerequisite: CHEM 105 or consent of Department.

An introduction to the science of materials relating their mechanical, thermal, electronic, and chemical properties to atomic, molecular, and crystal structure. Ceramic and metallic crystals, glasses, polymers, and composite materials. Multi-phase materials, phase transformations, and strengthening processes. Laboratories include mechanical properties of materials, microstructure, heat treatment of steel, and hands on design experiments. Prerequisite: CHEM 105 or consent of Department.

Fundamentals of thermodynamics in Materials Engineering. Review of thermodynamic functions. First, second and third laws. Reaction equilibria, stability diagrams. Solution thermodynamics applied to materials processes. Phase relations, free energy-composition diagrams, binary phase diagrams, and introduction to ternary phase diagrams. Electrochemistry. Experimental methods and estimation of thermodynamic data. Prerequisite: CH E 243. Credit may not be obtained in this course if previous credit has been obtained in MAT E 340 or 301.

Techniques for characterization of materials. Elements of crystallography. Optical microscopy and image analysis, diffraction techniques, electron microscopy, surface science techniques, wet chemical techniques, non-destructive characterization, emerging techniques. Prerequisite: MAT E 202 or consent of Department.

Structure, properties and application of nonmetallic-inorganic materials. Structure of crystalline and amorphous materials. Reciprocal lattice, Brillouin Zone, crystal vibrations, and energy bands. Sintering theory, defect chemistry and Brouwer diagram. Processing and fabrication of glasses. Electrical, dielectric, thermal and optical properties. Advanced application in energy conversion and storage. Prerequisites: (MAT E 202, MAT E 211 and MAT E 204) or consent of instructor.

Solid phases and phase diagrams. Atomic mechanisms of solid state diffusion and diffusion in multicomponent and multiphase systems. Thermodynamics and kinetics of diffusional and diffusionless solid state transformations. Applications in alloy heat treating and surface treatment. Prerequisites: MAT E 211, and 204 or 301.

Thermodynamics of mass transfer and microstructure evolution in liquid-solid and vapour-solid transformations. Applications in solidification processes , casting, welding, vapour deposition and sputtering methods. Prerequisite: MAT E 335.

Electrochemical reactions, equilibrium electrode potentials, cell potentials and Pourbaix diagrams. Electrochemical reaction kinetics, Butler-Volmer Model, polarization and Tafel equations. Electrochemical measurements including linear polarization resistance and monitoring. Metal recovery from solutions, electroplating, electrowinning, electroless plating. Batteries, fuel cells. The different forms of corrosion. Corrosion measurements, protection, coatings, materials selection, and design for corrosion control. High temperature oxidation and its control. Prerequisites: MAT E 204 or CH E 343.

The environments materials experience in service. Theory of corrosion. The eight forms of corrosion. Corrosion measurements, protection, coatings, materials selection, and designing for corrosion. High temperature oxidation and its control. Degradation of non-metallic materials. Prerequisites: MAT E 201 or 202, and MAT E 341.

Stress/strain relationships and tensile testing. Dislocation theory, twinning and plastic deformation. Strengthening mechanisms. Fundamentals of fracture, failure mechanisms, fracture mechanics and fracture testing. Prerequisites: CIV E 270, MAT E 211, and MAT E 335.

Experimental data processing and report writing. Materials processing, characterization, and testing. Particle size reduction and separation. Prerequisites: MAT E 211 and STAT 235.

Technical report writing. Advanced materials processing, characterization, and testing. Prerequisites: MAT E 361.

Formulation and solution of materials engineering problems; solution of systems of linear and nonlinear algebraic equations; materials modeling and simulation techniques that cover different time and length scales, which include density functional theory methods, Monte Carlo, molecular dynamics, phase field, finite element method, and machine learning approaches; hands-on experience with several modern materials modeling codes. Prerequisites: ENCMP 100 (or equivalent), MATH 102, 201 and 209.

Advanced technical report writing. Integration of materials characterization and testing techniques for problem solving. Integration of materials processing techniques for process development. Prerequisite: MAT E 362.

Engineering design concepts in materials processing. Cost estimation. Project planning and scheduling. Plant safety and hazards analysis. Selected project design examples. Credit may not be obtained in this course if previous credit has been obtained in MAT E 365. Prerequisites: CME 265 and MAT E 204 or 301. Corequisites: CH E 314, ENG M 310 or 401, and ENGG 404.

Team materials design projects. Feasibility study and detailed materials design including: selection of materials and manufacturing processes; cost analysis; safety, social, and environmental considerations; failure modes; and microstructural specifications. Projects will require students to exercise creative and critical thinking, decision making, and demonstrate integration of Materials Engineering practice and synthesis of technical knowledge rather than simply analyse existing designs. Prerequisites: ENGG 404, MAT E 336, 345, 351 and 464.

An advanced treatment of selected Materials Engineering topics of current interest. Prerequisite: Consent of Department.

The study of diffusion, mass transfer and reaction kinetics in materials process engineering. The fundamental equations governing mass transfer are applied to study the rate of metallurgical processes. The use of dimensional analysis in scale-up of reactors and mixing in batch and continuous processes is also presented. Credit may not be obtained in this course if previous credit has been obtained in MAT E 440. Prerequisites: MAT E 204 or 301, and CH E 312. Corequisite: CH E 314.

Structure, processing, characterization, properties and application of ceramic materials and glass. Ceramic raw materials. Crystal chemistry and physics. Glassy state. Crystal defects, nonstoichiometry, diffusion, phase diagrams. Powder preparation, ceramic fabrication. Characterization of ceramic powders and components. Thermal, mechanical and electrical properties. Traditional and recent applications. Prerequisite: MAT E 341 or consent of instructor.

Conversion of raw materials to products. Microstructural evolution and structure- property-processing relationships in engineering materials (metals and alloys, polymers, ceramics, composites) as a function of processing methods (shaping, joining, and surface treatment). Heat treating of metals and alloys. Prerequisite: CH E 314. Corequisites: MAT E 336 and 351.

Behaviour of materials in service, such as wear and tribology, creep, fatigue, fracture, corrosion, oxidation, other environmental effects, and their interactions and synergies. Failure analysis and surface engineering concepts. Case studies will be used to illustrate principles and synthesize knowledge. Prerequisites: MAT E 336 and 345.

The physical metallurgy and processing of microalloyed steels and the associated microstructure/processing/property relationship. Usage of microalloyed steels in pipelines including design, forming and welding. Credit cannot be obtained in this course if previous credit has been obtained in MAT E 489. Prerequisite: consent of Instructor.

Terminology, welding processes and materials considerations, mechanisms of welding including the welding arc, molten metal issues, mass and energy balances, heat transfer, basics of procedure development, design of weldments, codes and standards, non-destructive testing, guest lectures from industrial practitioners and specialists. Pre-requisites: Completion of 2 years in any engineering discipline or consent by Instructor.

Classical mechanics and its limitations; basic quantum mechanics; band theory; band diagrams for metals, insulators; Semiconductor and dielectric materials, piezoelectrics and thermoelectrics, and magnetic materials; Intrinsic and doped semiconductors; Optical properties of materials; Light-matter interactions, Prerequisite: PHYS 130, MAT E 202, or by consent of instructor.

Fabrication and application of 1D, 2D, and 3D nanostructured materials. Nanoparticles, carbon nanotubes, graphene, thin films, and nanocomposites. Optical, electrical, and mechanical properties and characterization techniques. Pre-requisite: MAT E 201 or 202.

Survey of nanostructured materials, including processing techniques, properties (mechanical, physical and chemical), characterization, and characterization tools. Introduction to biomedical applications of nanomaterials for diagnosis, therapy and medical implants. Credit may not be obtained in this course if previous credit has been obtained in MAT E 458. Prerequisite: CH E 243 or equivalent, or consent of instructor

Topics of current interest related to process metallurgy, such as welding, process analysis, mathematical modelling and simulation, metal extraction from secondary sources, iron and steel making, physical chemistry of molten systems and production of industrial minerals.

Advanced topics in core fundamentals of materials thermodynamics. Thermodynamic laws, statistical thermodynamics, reaction equilibria, phase diagrams, solutions, changing standard states, electrochemistry, and thermodynamics of surfaces. Prerequisite: MAT E 204 or 301, or consent of Instructor.

Aqueous, molten and solid electrolytes: thermodynamics, structure, transport properties. Applications of conductivity measurements. Electrodes: types, reactions, potential. Electrochemical cells. Applications of EMF measurements. Electrical double layer, electrode kinetics, overpotential. Chlor-alkali industry, electrometallurgy, electrolysis of water, electroplating. Electrochemical energy conversion: primary and secondary batteries, fuel cells. High temperature applications. Prerequisite: Consent of Instructor.

Basic symmetry elements and operations, crystallographic point groups and space groups, application of symmetry in materials analysis. Fundamentals of crystal chemistry, transformations, defects in metals and ionic crystals, interactions between point defects and interfaces. Reciprocal lattice, Brillouin zones, construction of Fermi surfaces, theory of diffraction. Fundamental principles of electron scattering, production and detection of x-rays, diffraction methods, application to crystal structure determination, chemical analysis x-ray spectrometry.

Theoretical strength of solids, Griffith crack theory, mechanisms of brittle and ductile fracture, the ductile to brittle transition, fatigue and creep fracture, environmental effects on fracture. Prerequisites: MAT E 358 or consent of Instructor. Credit cannot be obtained in this course if credit has already been obtained in MAT E 462.

The Kinetics of Materials course delves into the fundamental principles governing the rate and mechanisms of material processes. This course provides students with a comprehensive understanding of the driving forces behind mass transport, diffusion mechanisms, chemical reactions, coarsening, and nucleation theories. It explores the dynamic aspects of materials, focusing on how they change and evolve over time. Through a combination of theoretical discussions and practical applications, students will develop a strong foundation in the kinetics of materials, enabling them to analyze and manipulate material behavior in various engineering and scientific contexts.

Principles and design of the scanning electron microscope, electron beam-specimen interactions, image formation, x-ray microanalysis in the scanning electron microscope, specimen preparation, application to materials analysis. Prerequisite: Consent of Instructor.

Band theory and solid state properties. Thin film growth at the nanoscale. Semiconductors and dielectric materials, piezoelectrics and thermoelectrics. Semiconductors, doping, p-n junctions, solar cells. Thermoelectric materials and the Seebeck, Thomson, and Peltier Effects. Optical and electrical property measurement.

Weld thermal cycles; fusion zone solidification; phase transformations, heat affected zone phenomena; cracking during welding; ferrous and non-ferrous weldments.

Important ceramic materials and products, processing, typical properties. Structure: binary and ternary compounds, crystalline silicates, glass. Point defects, nonstoichiometry, defect reactions, dislocations. Diffusion, electrochemical transport, examples. Thermal and mechanical properties, thermal shock resistance, electrical conduction. Applications: solid electrolytes, energy conversion systems, refractories, electronics. Prerequisites: Consent of Instructor. Credit cannot be obtained in this course if credit has already been obtained in MAT E 471.

Terminology, welding processes and materials considerations, mechanisms of welding including the welding arc, molten metal issues, mass and energy balances, and heat transfer, basics of procedure development, design of weldments, codes and standards, and non-destructive testing, guest lectures from industrial practitioners and specialists. Completion of a report based on independent research is required. Credit cannot be obtained if previous credit has been obtained for MAT E 481.

Advanced processing and metallurgy of microalloyed steels for pipelines. Steelmaking, casting, microstructural development during thermomechanical processing, pipe fabrication, mechanical and chemical properties and in service performance. Prerequisites: Consent of Instructor.

An advanced treatment of materials engineering topics of current interest to staff and students.

Review of numbers, inequalities, functions, analytic geometry; limits, continuity; derivatives and applications, Taylor polynomials; log, exp, and inverse trig functions. Integration, fundamental theorem of calculus substitution, trapezoidal and Simpson's rules. Prerequisites: Mathematics 30-1 and Mathematics 31. Notes: (1) Credit can be obtained in at most one of MATH 100, 113, 114, 117, 134, 144, 154, or SCI 100. (2) Students in all sections of this course will write a common final examination. (3) Restricted to Engineering students. Non-Engineering students who take this course will receive 3 units.

Area between curves, techniques of integration. Applications of integration to planar areas and lengths, volumes and masses. First order ordinary differential equations: separable, linear, direction fields, Euler's method, applications. Infinite series, power series, Taylor expansions with remainder terms. Polar coordinates. Rectangular, spherical and cylindrical coordinates in 3-dimensional space. Parametric curves in the plane and space: graphing, arc length, curvature; normal binormal, tangent plane in 3- dimensional space. Volumes and surface areas of rotation. Prerequisite: MATH 100. Notes: (1) Credit can be obtained in at most one of MATH 101, 115, 118, 136, 146, 156 or SCI 100. (2) Students in all sections of this course will write a common final examination. (3) Restricted to Engineering students. Non-Engineering students who take this course will receive 3 units.

Vectors and matrices, solution of linear equations, equations of lines and planes, determinants, matrix algebra, orthogonality and applications (Gram-Schmidt), eigenvalues and eigenvectors and applications, complex numbers. Prerequisite or corequisite: MATH 100. Notes: (1) Credit can be obtained in at most one of MATH 102, 125, or 127. (2) Students in all sections of this course will write a common final examination. (3) Restricted to Engineering students. Non-Engineering students who take this course will receive 3 units.

A problem-solving approach to discrete mathematics, covering secret codes, public-key codes, error-correcting codes, enumeration, recurrence relations, induction, graph theory, graph algorithms and parallel algorithms. Prerequisite: MATH 30-1, 30-2, or equivalent. Note : Credit can only be obtained in at most one of MATH 111 or MATH 222.

Review of analytic geometry. Differentiation of elementary, trigonometric, exponential, and logarithmic functions. Applications of the derivative. Integration. Fundamental Theorem of Calculus. Prerequisite: Pure Mathematics 30 or Mathematics 30-1 or equivalent. Note: Credit can be obtained in at most one of MATH 100, 113, 114, 117, 134, 144, or SCI 100.

Inverse trigonometric functions. Techniques of integration. Improper integrals. Applications of the definite integral. Introduction to differential equations. Prerequisite: One of MATH 100, 113, 114, 117, 134, 144 or 154. Note: Credit can be obtained in at most one of MATH 101, 115, 118, 136, 146, 156 or SCI 100.

Functions, continuity, and the derivative. Applications of the derivative. Extended limits and L'Hospital's rule. Prerequisites: Mathematics 30-1 and Mathematics 31, or consent of the Department. Notes: (1) This course is designed for students with at least 80 percent in Pure Mathematics 30 or Mathematics 30-1 and Mathematics 31. (2) Credit can be obtained in at most one of MATH 100, 113, 114, 117, 134, 144, 154 or SCI 100. (3) Engineering students will receive a weight of 4.0 units for this course.

Integration and the Fundamental Theorem. Techniques and applications of integration. Derivatives and integrals of the exponential, and trigonometric functions. Introduction to infinite series. Introduction to partial derivatives. Prerequisite: MATH 117. (Students with a 100-level calculus course different from MATH 117 may be admitted with consent of the Department.) Notes: (1) Credit can be obtained in at most one MATH 101, 115, 118, 136, 146, 156 or SCI 100. (2) Engineering students will receive a weight of 4.0 units for this course.

Systems of linear equations. Vectors in n-space, vector equations of lines and planes. Matrix algebra, inverses and invertibility. Introduction to linear transformations. Subspaces of n-space. Determinants. Introduction to eigenvalues and eigenvectors. Complex numbers. Dot product, cross product and orthogonality. Applications in a variety of fields. Prerequisite: Mathematics 30-1. Note: Credit can be obtained in at most one of MATH 102, 125 or 127.

Systems of linear equations. Vectors, lines and planes in n-space. Dot product, cross product and orthogonality. Matrices, linear and orthogonal transformations. Orthogonal bases. Gram-Schmidt process. Inner product spaces. Determinants. Eigenvalues and eigenvectors. Orthogonal diagonalisation. Prerequisite: Mathematics 30-1. Note: Credit can be obtained in at most one of MATH 102, 125, 126 or 127.

Linear equations; Euclidean spaces, matrices. Complex numbers and fields. Vector spaces : basis, dimension, linear transformations. Introductions to groups and rings; permutation groups. Determinants. Eigenvalues and Eigenvectors. Prerequisite: Mathematics 30-1. Note: Credit can be obtained in at most one of Math 102, 125 or 127.

The derivative as a rate of change. Differentiation of elementary, trigonometric, exponential, and logarithmic functions. The definite integral as a summation. Integration. The Fundamental Theorem of Calculus. Applications in the context of the life sciences. Prerequisite: Mathematics 30-1. Note: Credit can be obtained in at most one of MATH 100, 113, 114, 117, 134, 144, 154 or SCI 100.

Techniques and applications of integration. Improper integrals. Differential equations and mathematical modelling. Partial differentiation. Applications in the context of the life sciences. Prerequisite: One of MATH 100, 113, 114, 117, 134, 144 or 154. Note: Credit can be obtained in at most one of MATH 101, 115, 118, 136, 146, 156 or SCI 100.

The derivative as a rate of change. Differentiation of elementary, trigonometric, exponential, and logarithmic functions. The definite integral as a summation. Integration. The Fundamental Theorem of Calculus. Taylor polynomials. Applications in the context of the physical sciences. Prerequisite: Mathematics 30-1. Note: Credit can be obtained in at most one MATH 100, 113, 114, 117, 134, 144, 154 or SCI 100.

Techniques and applications of integration. Improper integrals. Introduction to differential equations. Partial differentiation. Applications in the context of the physical sciences. Prerequisite: One of MATH 100, 113, 114, 117, 134, 144 or 154. Note: Credit can be obtained in at most one of MATH 101, 115, 118, 136, 146, 156 or SCI 100.

The derivative as a rate of change. Differentiation of elementary, trigonometric, exponential, and logarithmic functions. The definite integral as a summation. Integration. The Fundamental Theorem of Calculus. Optimization. Applications in the context of business and economics. Prerequisite: Mathematics 30-1. Note: Credit can be obtained in at most one of MATH 100, 113, 114, 117, 134, 144, 154 or SCI 100.

The derivative as a rate of change. Differentiation of elementary, trigonometric, exponential, and logarithmic functions. The definite integral as a summation. Integration. The Fundamental Theorem of Calculus. Optimization. Applications in the context of business and economics. Prerequisite: Mathematics 30-1. Note: Credit can be obtained in at most one of MATH 100, 113, 114, 117, 134, 144, 154 or SCI 100.

The derivative as a rate of change. Differentiation of elementary, trigonometric, exponential, and logarithmic functions. The definite integral as a summation. Integration. The Fundamental Theorem of Calculus. Optimization. Applications in the context of business and economics. Prerequisite: Mathematics 30-1. Note: Credit can be obtained in at most one of MATH 100, 113, 114, 117, 134, 144, 154 or SCI 100.

Techniques and applications of integration. Improper integrals. Partial differentiation. Multivariate optimization. Probability and calculus. Applications in the context of business and economics. Prerequisite: One of MATH 100, 113, 114, 117, 134, 144 or 154. Note: Credit can be obtained in at most one of MATH 101, 115, 118, 136, 146, 156 or SCI 100.

Elementary Number Theory, Numeration Systems, Number Systems and Elementary Probability Theory. Math Fair. Prerequisite: Mathematics 30-1 or 30-2, or consent of Department. Notes: (1) This course is restricted to Elementary Education students. (2) This course cannot be used for credit towards a Science degree.