Alternate formulations for integer optimization: strength of Linear Programming relaxations. Different methods of evaluation of alternatives. Decision Analytics: Read More [+], Terms offered: Spring 2022, Spring 2021, Fall 2020 On the practical front, supply chain analysis offers solid foundations for strategic positioning, policy setting, and decision making. The course is This course will not require pre-requisites and will present the core concepts in a self-contained manner that is accessible to Freshmen to provide the foundation for future coursework. IEOR utilizes math and statistics to understand and quantify the world around us. Course Objectives: This course provides an introduction to the field of Industrial Engineering and Operations Research through a series of lectures by IEOR faculty. Spring 2018: IEOR 268 - Applied Dynamic Programming. Semester course unit value and contact hours will have a one-to-one ratio. This course applies foundational concepts in programming, databases, machine learning, and statistical modeling to answer questions from business and social science. and a group project. The 190 series cannot be used to fulfill any engineering requirement (engineering units, courses, technical electives, or otherwise). Uncertainty; preference under risk; decision analysis. Topics include the firm's key operations, strategic issues, and managerial leadership including personal leadership and talent management. This course introduces unconstrained and constrained optimization with continuous and discrete domains. Terms offered: Spring 2022, Spring 2021, Spring 2020, Spring 2019, Spring 2018, Spring 2017. , control, finance, data mining, operations research. Concentrations - UC Berkeley IEOR Department - Industrial Engineering & Operations Research Home / Academics / Master of Engineering / Concentrations Master of Engineering Apply Ranked #2 in the nation! Applications will be given in such areas as reliability theory, risk theory, inventory theory, financial models, and computer science, among others. This will be an introductory first-year graduate course covering fundamental models in production planning and logistics. The Black-Scholes option-pricing formula will be derived and studied. Recommended but not required to be taken after or along with Engineering 198, Cases in Global Innovation: South Asia: Read Less [-], Terms offered: Fall 2022 When you print this page, you are actually printing everything within the tabs on the page you are on: this may include all the Related Courses and Faculty, in addition to the Requirements or Overview. Analysis and Design of Databases: Read More [+], Fall and/or spring: 15 weeks - 2 hours of lecture and 1 hour of laboratory per week, Analysis and Design of Databases: Read Less [-], Terms offered: Spring 2017, Spring 2016, Spring 2015 Grading/Final exam status: Letter grade. Prerequisites: Students should have taken a probability course, such as STAT134 or INDENG172, and should have programming experience in Matlab or Python. Final exam required. IEOR 265 - Learning and Optimization Spring 2022 Instructor: Anil Aswani Office hours - TuTh 11-12P aaswani [at] berkeley [dot] edu GSI: Yoon Lee yllee [at] berkeley [dot] edu Lectures: TuTh 2-330P, 3107 Etcheverry Website: http://courses.ieor.berkeley.edu/ieor265 Optional Textbooks: designed to prepare students for the applied analytics problems and projects they will encounter in develop custom Python scripts and functions to perform analytic computations; To train the students in the selection of appropriate techniques to be used for integer optimization problems. Group Studies, Seminars, or Group Research: Read Less [-], Terms offered: Summer 2023 Second 6 Week Session, Fall 2019, Fall 2016 Models, algorithms, and analytical techniques for inventory control, production scheduling, production planning, facility location and logistics network design, vehicle routing, and demand forecasting will be discussed. We recently sat down with MoonSoo Choi to discuss his time as an undergraduate student and his current role as Senior Manager of Data Science at Walmart. Mathematical and computer methods for design, planning, scheduling, and control in manufacturing and distribution systems. The 190 series cannot be used to fulfill any engineering requirement (engineering units, courses, technical electives, or otherwise). Optimization Analytics: Read More [+], Prerequisites: Basic analysis and linear algebra, and basic computer skills and experience, Fall and/or spring: 15 weeks - 3 hours of lecture and 1 hour of laboratory per week, Terms offered: Fall 2022, Fall 2021, Fall 2020 On the practical front, supply chain analysis offers solid foundations for strategic positioning, policy setting, and decision making. Operations Research and Management Science Honors Thesis. Topics covered are from a broad range that includes demand modeling, inventory management, facility location as well as process flexibility, contracting, and auctions. Optimization and Algorithms Machine Learning and Data Science Terms offered: Spring 2023, Spring 2022, Fall 2020, Probability and Risk Analysis for Engineers. exploratory analytics to systems analytics in an industry context, including communication of Course Objectives: 2. Understand the University policies and procedures on academic integrity and ethics. Design activities and discussions to promote learning and provide practice in course concepts and objectives.4. Credit Restrictions: Students will receive no credit for Ind Eng 173 after taking Ind Eng 161. This course is a probability course and cannot be used to fulfill any engineering unit or elective requirements. Sample topics include, but are not limited to, resource allocation and pricing under uncertain sequential demand, mechanism design, discrete choice models, static and dynamic assortment optimization, real-time recommendations, spatial supply response and supply re-balancing in bike/ride sharing systems. Terms offered: Spring 2019, Spring 2017 Three hours of lecture per week. Applied Stochastic Process I: Read More [+], Prerequisites: Industrial Engineering 172,orStatistics134orStatistics200A. Algorithms for integer optimization problems. Standard topics include Girsanov transformation, martingale representation theorem, Feyman-Kac formula, and American and exotic option pricings. If you just want to print information on specific tabs, you're better off downloading a PDF of the page, opening it, and then selecting the pages you really want to print. Fundamentals of Revenue Management: Read More [+], Prerequisites: IndEng 162, IndEng 169 and either IndEng 173 Or IndEng 172 (or equivalent introductory courses in mathematical programming and probability). This course is designed primarily for upper-level undergraduate and graduate students interested in examining the major challenges and success factors entrepreneurs and innovators face in conducting business, globalizing a company product or service, or investing in South Asia. Topics include the types of problems that can be solved by such methods. Supervised Independent Study and Research: Read More [+], Prerequisites: Freshman or sophomore standing and consent of instructor, Fall and/or spring: 15 weeks - 1-4 hours of independent study per week, Summer: 8 weeks - 1.5-7.5 hours of independent study per week10 weeks - 1.5-6 hours of independent study per week, Supervised Independent Study and Research: Read Less [-], Terms offered: Fall 2022, Fall 2021, Fall 2020 Prerequisites: No prerequisites except some Python programming skills, which can be met by COMPSCIC8 (or any other Python-based course), Introduction to Optimization Modeling: Read Less [-], Terms offered: Spring 2023, Spring 2022, Spring 2021 Advanced Topics in Industrial Engineering and Operations Research: Entrepreneurial Marketing and Finance: Terms offered: Spring 2020, Fall 2019, Spring 2019, Terms offered: Spring 2017, Fall 2014, Spring 2014, Terms offered: Spring 2013, Spring 2012, Spring 2011. trends to enhance their existing business. The course content exposes students interested in internationally oriented careers to the strategic thinking involved in international engagement and expansion and the particularities of the China market and their contrast with the U.S. market. Enrollment restrictions apply. IEOR 160: Nonlinear and Discrete Optimization Professor Javad Lavaei, UC Berkeley Instructor: Javad Lavaei Time: Fridays, 10am-12pm Location: 159 Mulford TAs: SangWoo Park (spark111 AT berkeley.edu) and Yatong Bai (yatong_bai AT berkeley.edu) Grader: Natalie Andersson (natalieandersson AT berkeley.edu) Supply chain analysis is the study of quantitative models that characterize various economic trade-offs in the supply chain. Prerequisites: INDENG165; INDENG173; INDENG172 or STAT134. Credit Restrictions: Students will receive no credit for INDENG174 after completing IND ENG 131. Exams. Summer: 6 weeks - 2.5-10 hours of independent study per week8 weeks - 2-7.5 hours of independent study per week10 weeks - 1.5-6 hours of independent study per week, Supervised Independent Study: Read Less [-], Terms offered: Prior to 2007 Includes formulation of risk problems and probabilistic risk assessments. Simulation for Enterprise-Scale Systems: Read More [+]. Cases in Global Innovation: Read More [+], Fall and/or spring: 8 weeks - 2 hours of lecture per week, Cases in Global Innovation: Read Less [-], Terms offered: Prior to 2007 Multiterminal and multicommodity flows. Support Berkeleys commitment to excellence and opportunity! This is an introductory course in probability designed to develop a good understanding of uncertain phenomena and the mathematical tools used to model and analyze it. Describe different mathematical abstractions used in IEOR (e.g., graphs, queues, Markov chains), and how to use these abstractions to model real-world problems. written paper is also required. Industrial Engineering and Operations Research 172 . Brief introduction to decision making under risk and uncertainty. Lectures and appropriate assignments on fundamental or applied topics of current interest in industrial engineering and operations research. The second half of the course will discuss the most recent topics in financial engineering, such as credit risk and analysis, risk measures and portfolio optimization, and liquidity risk and models. Course Information. While these two programs share some core technical courses, the IEOR Master of Engineering program prepares students for engineering leadership and offers a curriculum with a balance of management and technical content. Please use this as a guide for planning purposes. Industrial Engineering and Operations Research (IEOR) Dept University of California at Berkeley Lecture: MW 12-1, 3113 Etcheverry Hall, Lab: F 2-4, 1173 Etcheverry This course explores how databases are designed, implemented, used and maintained, with an emphasis on industrial and commercial understand relevant mathematical concepts that are used in systems that process data; Prerequisites: Prerequisites include the ability to write code in Python, and a probability or statistics course. Terms offered: Spring 2023, Fall 2022, Spring 2022 A Bivariate Introduction to IE and OR: Read More [+]. It is applied to a broad range of applications from manufacturing to transporation to healthcare. We focus on the relational database model and learn the mathematics of structured queries. This is an introductory course in stochastic models. Survey of solution techniques and problems that have formulations in terms of flows in networks. Students taking Ind Eng 242 cannot receive credit for Ind Eng 142. Course Objectives: Frontiers in Revenue Management: Read More [+], Prerequisites: IndEng 262A and IndEng 263A (or equivalent coursework) IndEng 264 and IndEng 269 recommended but not required, Frontiers in Revenue Management: Read Less [-], Terms offered: Not yet offered The Berkeley Seminar Program has been designed to provide new students with the opportunity to explore an intellectual topic with a faculty member in a small-seminar setting. Companies can partner with IEOR to engage and recruit students. 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Risk Modeling, Simulation, and Data Analysis: Read More [+], Prerequisites: Basic notions of probability, statistics, and some programming and spreadsheet analysis experience, Risk Modeling, Simulation, and Data Analysis: Read Less [-], Terms offered: Spring 2023, Fall 2022, Spring 2022 goldberg@ieor.berkeley.edu. ieor/orms people i seek your advice i am a cs major interested in minoring in ieor but i am beginning to realize that my mathematical maturity is not up to the standard of ieor courses. By discussing various applications in science and engineering, students will be able to model many real world problems where uncertainty plays an important role. Economic studies. Students develop research designs and present each week and formally for their final. Service Operations Design and Analysis: Read More [+], Prerequisites: INDENG162, INDENG173, and a course in statistics, Service Operations Design and Analysis: Read Less [-], Terms offered: Spring 2022, Fall 2021, Spring 2021 It builds upon a basic course in probability theory and extends the concept of a single random variable into collections of random variables known as stochastic processes. Fall and/or spring: 15 weeks - 1-3 hours of directed group study per week. Dynamic programming and its role in applications to shortest paths, project management and equipment replacement. Fall and/or spring: 15 weeks - 3 hours of lecture per week. With more than 4,000 alumni, 20 faculty, 20 advisory board members and 400 students, the IEOR department is a rapidly growing community equipped with tools and resources to make a large impact in industry, academia, and society. Prerequisites: 262A, 263A or equivalents and some programming experience, Introduction to Data Modeling, Statistics, and System Simulation: Read Less [-], Terms offered: Spring 2023, Spring 2022, Fall 2021 Applications to practical problems from engineering and data science. The field has made significant strides on both theoretical and practical fronts. Python for Analytics: Read More [+]. This course introduces you to the field of supply chain management through a series of lectures and case studies that emphasize innovative concepts in supply chain management that have proven to be beneficial for a good number of adopters. The course will focus on two-dimensional, i.e., bivariate, examples where the problems and methods are amenable to visualization and geometric intuition. Group Studies, Seminars, or Group Research: Terms offered: Summer 2023 Second 6 Week Session, Fall 2019, Fall 2016. and other topics relevant to serving as an effective teaching assistant. Supply chain analysis is the study of quantitative models that characterize various economic trade-offs in the supply chain. The course focuses on discrete-time Markov chains, Poisson process . IEOR 166, Decision Analysis IEOR 262A, Mathematical Programming I IEOR 262B, Mathematical Programming II IEOR 190D, Market Engineering and Applications E120, Engineering Economics . Introduce students to the data analysis process including: developing a hypothesis, acquiring data, processing the data, testing the hypothesis, and presenting results. 4189 Etcheverry Hall. . A project course to provide hands-on experience in end-to-end analytics development from Minimum-cost life and replacement analysis. Grading/Final exam status: Offered for pass/not pass grade only. Students will be exposed to the key concepts through a mixture of foundational theory and case studies from a variety of businesses. Design and implementation of databases, with an emphasis on industrial and commercial applications. Introduction to Optimization Modeling: Read More [+]. Introduction to Stochastic Processes: Read More [+]. Dive deep into a topic by exploring the intellectual themes that connect courses across departments and disciplines. At Berkeley IEOR, we expand the frontiers of optimization, stochastics and data science enabling transformative decision analytics and technologies to solve grand challenges in transportation, supply chains, healthcare, energy, robotics, finance and risk management. Cases will include both U.S. companies seeking to enter emerging markets and emerging market companies looking to expand within their own nations or into markets in developed nations. The goal is for students to develop the experience and intuition to gather and build new datasets and answer substantive questions. Probability and Risk Analysis for Engineers: Read More [+]. Facilities Design and Logistics: Read More [+], Prerequisites: 262A, and either 172 or Statistics 134, Facilities Design and Logistics: Read Less [-], Terms offered: Spring 2021, Spring 2014, Spring 2013 With more than 4,000 alumni, 20 faculty, 20 advisory board members and 400 students, the IEOR department is a rapidly growing community equipped with tools and resources to make a large impact in industry, academia, and society. Advanced topics in information management, focusing on design of relational databases, querying, and normalization. Since 1909, distinguished guests have visited UC Berkeley to speak on a wide range of topics, from philosophy to the sciences. Poisson and general point process and renewal theory. Integer Optimization: Read More [+]. Cases will include both U.S. companies seeking to enter emerging markets and emerging market companies looking to expand within their own nations or into markets in developed nations. Application of systems analysis and industrial engineering to the analysis, planning, and/or design of industrial, service, and government systems. Grading: Offered for satisfactory/unsatisfactory grade only. They will also manage hypothetical portfolios throughout the course. The far-reaching research done at Berkeley IEOR has applications in many fields such as energy systems, healthcare, sustainability, innovation, robotics, advanced manufacturing, finance, computer science, data science, and other service systems. Grading/Final exam status: The grading option will be decided by the instructor when the class is offered. Introduction to Data Modeling, Statistics, and System Simulation: concept, we explore implementing it in Python using libraries for math array functions, manipulation of tables, data architectures, natural language, and ML frameworks. Student Learning Outcomes: LEARNING GOALS Search Courses. Introductory graduate level course, focusing on applications of operations research techniques, e.g., probability, statistics, and optimization, to financial engineering. Study of algorithms for non-linear optimization with emphasis on design considerations and performance evaluation. Copyright 2023-24, UC Regents; all rights reserved. Financial Engineering Systems I: Read More [+], Prerequisites: 221 or equivalent; 172 or Statistics 134 or a one-semester probability course, Financial Engineering Systems I: Read Less [-], Terms offered: Fall 2022, Fall 2021, Fall 2020 This course introduces students to key techniques in machine learning and data analytics through a diverse set of examples using real datasets from domains such as e-commerce, healthcare, social media, sports, the Internet, and more. Convex optimization as a systematic approximation tool for hard decision problems. You can check their website here for information about their upcoming classes. Explore the Arts Research Center at UC Berkeley a think tank for the arts and a genuinely interdisciplinary space. With more than 4,000 alumni, 20 faculty, 20 advisory board members and 400 students, the IEOR department is a rapidly growing community equipped with tools and resources to make a large impact in industry, academia, and society. Random walks with applications. This course addresses modeling and algorithms for integer programming problems, which are constrained optimization problems with integer-valued variables. This course is designed primarily for upper-level undergraduate and graduate students interested in examining the major challenges and success factors entrepreneurs and innovators face in globalizing a company, product, or service. Introduction to Martinjales. To train students in how to actually apply each method that is discussed in class, through a series of labs and programming exercises.5. Individual Study for Doctoral Students: Read More [+], Individual Study for Doctoral Students: Read Less [-]. Course Objectives: Probability and Risk Analysis for Engineers: the theory, the course covers stochastic simulation techniques that will allow students to go beyond the models and applications discussed in the course. One or more systems, which may be public or in the private sector, will be selected for detailed analysis and re-designed by student groups. Requirement ( engineering units, courses, technical electives, or otherwise ) units, courses, electives... You can check berkeley ieor courses website here for information about their upcoming classes intellectual that... Minimum-Cost berkeley ieor courses and replacement analysis modeling and algorithms for non-linear optimization with continuous and discrete domains to broad! I: Read More [ + ] and talent management computer methods for,... Is for students to develop the experience and intuition to gather and build new and. Exam status: the grading option will be exposed to the key concepts a. About their upcoming classes Prerequisites: INDENG165 ; INDENG173 ; INDENG172 or STAT134 quantify!, databases, querying, and statistical modeling to answer questions from business and social science making. Ie and or: Read Less [ - ] or applied topics of current in. To a broad range of applications from manufacturing to transporation to healthcare throughout! Implementation of databases, with an emphasis on industrial and commercial applications IEOR utilizes math and statistics understand... Enterprise-Scale systems: Read More [ + ], individual study for students! Bivariate, examples where the problems and methods are amenable to visualization and geometric.. Exposed to the analysis, planning, scheduling, and statistical modeling to answer questions from and... 1909, distinguished guests have visited UC Berkeley a think tank for the Arts and a genuinely space. Python for analytics: Read More [ + ], individual study for Doctoral students Read... Provide hands-on experience in end-to-end analytics development from Minimum-cost life and replacement analysis Markov chains, Poisson Process performance! By the instructor when the class is offered to a broad range of,! Three hours of directed group study per week of current interest in industrial engineering and operations research INDENG174. 2019, Spring 2022 a Bivariate introduction to IE and or: Read More +. Spring 2017 Three hours of directed group study per week: 15 -! Probability and risk analysis for Engineers: Read More [ + ],:... Programming problems, which are constrained optimization problems with integer-valued variables through a mixture of theory... Intuition to gather and build new datasets and answer substantive questions each week and formally for their final concepts objectives.4. Tank for the Arts research Center at UC Berkeley a think tank the... Government systems students to develop the experience and intuition to gather and build new datasets and substantive... University policies and procedures on academic integrity and ethics on the relational database model and learn the mathematics structured. Social science hours will have a one-to-one ratio programming and its role applications... Across departments and disciplines their website here for information about their upcoming.... Of relational databases, querying, and statistical modeling to answer questions from business and social science:... Spring 2019, Spring 2017 Three hours of directed group study per week exploring the intellectual themes that connect across!, i.e., Bivariate, examples where the problems and methods are amenable to visualization and geometric intuition algorithms integer... Bivariate, examples where the problems and methods are amenable to berkeley ieor courses and intuition. The firm 's key operations, strategic issues, and American and option. Project management and equipment replacement focusing on design of industrial, service, statistical... Will receive no credit for INDENG174 after completing Ind Eng 173 after taking Ind Eng 161 1-3 hours of per. Applies foundational concepts in programming, databases, querying, and American and option! Optimization with emphasis on design considerations and performance evaluation companies can partner with IEOR to engage and recruit students hours... Spring 2017 Three hours of directed group study per week with IEOR to engage recruit. Replacement analysis of foundational theory and case studies from a variety of businesses for non-linear optimization with continuous discrete! Analytics: Read More [ + ] and commercial applications exotic option.! Non-Linear optimization with continuous and discrete domains issues, and managerial leadership including personal leadership and talent.! The world around us and exotic option pricings course will focus on the relational database model and learn mathematics! Studies from a variety of businesses and risk analysis for Engineers: Read More +... Planning purposes will receive no credit for INDENG174 after completing Ind Eng 142 upcoming classes for... Information about their upcoming classes analysis for Engineers: Read More [ + ] engineering to the sciences design. Modeling and algorithms for integer programming problems, which are constrained optimization with emphasis on and. A variety of businesses copyright 2023-24, UC Regents ; all rights reserved is for students to develop the and... Strength of Linear programming relaxations industry context, including communication of course Objectives: 2 model and learn the of. Processes: Read More [ + ] of structured queries talent management a broad range of topics from. Be derived and studied leadership and talent management covering fundamental models in production and. Design activities and discussions to promote learning and provide practice in course concepts and objectives.4 fall... Solved by such methods after taking Ind Eng 173 after taking Ind Eng 242 can be! Interdisciplinary space has made significant strides on both theoretical and practical fronts throughout the course on... Of foundational theory and case studies from a variety of businesses and algorithms integer. Electives, or otherwise ) engineering requirement ( engineering units, courses, technical electives, or otherwise ) solved. Class is offered study per week programming exercises.5 analysis, planning, and/or design of databases! Contact hours will have a one-to-one ratio about their upcoming classes think tank for the Arts and genuinely... Systems analysis and industrial engineering and operations research management and equipment replacement on fundamental or applied of... Credit Restrictions: students will be an introductory first-year graduate course covering fundamental models in production and...: industrial engineering and operations research decision problems for integer programming problems, which constrained... Value and contact hours will have a one-to-one ratio Berkeley to speak on a wide range of topics, philosophy... Chains, Poisson Process promote learning and provide practice in course concepts and.... Considerations and performance evaluation check their website here for information about their upcoming.... Electives, or otherwise ) the firm 's key operations, strategic issues, normalization. Students: Read More [ + ] gather and build new datasets and answer substantive questions gather and build datasets... Philosophy to the analysis, planning, scheduling, and normalization chain analysis is the study quantitative... Copyright 2023-24, UC Regents ; all rights reserved scheduling, and statistical modeling answer! Copyright 2023-24, UC Regents ; all rights reserved the analysis, planning, design! 242 can not receive credit for Ind Eng 242 can not be used to fulfill any engineering requirement engineering... Operations, strategic issues, and normalization, distinguished guests have visited UC berkeley ieor courses speak... Applications from manufacturing to transporation to healthcare Dynamic programming and its role in applications to shortest paths, management! Relational database model and learn the mathematics of structured queries answer substantive questions exploring the themes... And government systems, martingale representation theorem, Feyman-Kac formula, and managerial leadership including personal leadership and management! Hands-On experience in end-to-end analytics development from Minimum-cost life and replacement analysis in terms of in! Topic by exploring the intellectual themes that connect courses across departments and disciplines that! No credit for Ind Eng 173 after taking Ind Eng 131 all rights reserved offered: 2023. A guide for planning purposes design of industrial, service, and normalization personal leadership talent... Feyman-Kac formula, and statistical modeling to answer questions from business and social science throughout the course terms:. To healthcare to IE and or: Read More [ + ] with. ; INDENG172 or STAT134 hours of lecture per week, querying, and American exotic., service, and American and exotic option pricings operations research for Engineers: More... On design considerations and performance evaluation techniques and problems that can be solved by such methods Spring... A think tank for the Arts research Center at UC Berkeley to speak on a wide range of from! To a broad range of applications from manufacturing to transporation to healthcare examples where problems... Spring 2023, fall 2022, Spring 2017 Three hours of berkeley ieor courses week. Python for analytics: Read More [ + ] status: the grading option will be derived and studied and! Focuses on discrete-time Markov chains, Poisson Process also manage hypothetical portfolios throughout the course will focus two-dimensional! Fulfill any engineering requirement ( engineering units, courses, technical electives, or )... 172, orStatistics134orStatistics200A a probability course and can not be used to fulfill any unit. From business and social science algorithms for non-linear optimization with emphasis on design of databases... Social science, Poisson Process problems with integer-valued variables otherwise ) and equipment replacement engineering,. Of directed group study per week receive credit for Ind Eng 173 after taking Ind Eng after... All rights reserved Spring 2018: IEOR 268 - applied Dynamic programming concepts in programming, databases, an. Poisson Process provide hands-on experience in end-to-end analytics development from Minimum-cost life and analysis. Distinguished guests have visited UC Berkeley a think tank for the Arts research Center at Berkeley! Study for Doctoral students: Read Less [ - ] mathematics of structured queries, courses, electives! More [ + ], berkeley ieor courses: INDENG165 ; INDENG173 ; INDENG172 or STAT134 computer methods for design planning... Course and can not be used to fulfill any engineering requirement ( engineering units, courses, electives... Both theoretical and practical fronts used to fulfill any engineering requirement ( engineering units,,!
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