MS&E 20: Discrete Probability Concepts And Models
Fundamental concepts and tools for the analysis of problems under uncertainty, focusing on structuring, model building, and analysis. Examples from legal, social, medical, and physical problems. Topics include axioms of probability, probability trees, belief networks, random variables, conditioning, and expectation. The course is fastpaced, but it has no prerequisites.
Terms: Sum

Units: 4

UG Reqs: WAYFR

Grading: Letter (ABCD/NP)
Instructors:
Shachter, R. (PI)
MS&E 52: Introduction to Decision Making
How to ensure focus, discipline, and passion when making important decisions. Comprehensive examples illustrate Decision Analysis fundamentals. Consulting case studies highlight practical solutions for real decisions. Topics: declaring when and how to make a decision, framing and structuring the decision basis, defining values and preferences, creating alternative strategies, assessing unbiased probabilistic judgments, developing appropriate risk/reward and portfolio models, evaluating doable strategies across the range of uncertain future scenarios, analyzing relevant sensitivities, determining the value of additional information, and addressing the qualitative aspects of communication and commitment to implementation. Required for all students are three problem sets, three inclass exams, and a takehome final exam. Students taking the course for 4 units of credit must also complete and present a team project that analyzes a decision currently being made by an organization of their choice. Not intended for MS&E majors.
Terms: Sum

Units: 34

Grading: Letter or Credit/No Credit
Instructors:
Robinson, B. (PI)
MS&E 92Q: International Environmental Policy
Preference to sophomores. Science, economics, and politics of international environmental policy. Current negotiations on global climate change, including actors and potential solutions. Sources include briefing materials used in international negotiations and the U.S. Congress.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Weyant, J. (PI)
MS&E 93Q: Nuclear Weapons, Energy, Proliferation, and Terrorism
Preference to sophomores. At least 20 countries have built or considered building nuclear weapons. However, the paths these countries took in realizing their nuclear ambitions vary immensely. Why is this the case? How do the histories, cultures, national identities, and leadership of these countries affect the trajectory and success of their nuclear programs? This seminar will address these and other questions about nuclear weapons and their proliferation. Students will learn the fundamentals of nuclear technology, including nuclear weapons and nuclear energy, and be expected to use this knowledge in individual research projects on the nuclear weapons programs of individual countries. Case studies will include France, UK, China, India, Israel, Pakistan, North Korea, South Africa, Libya, Iraq, and Iran, among others. Please note any language skills in your application. Recommended: 193 or 293.
Terms: Spr

Units: 3

UG Reqs: GER:DBEngrAppSci

Grading: Letter or Credit/No Credit
Instructors:
Hecker, S. (PI)
MS&E 108: Senior Project
Restricted to MS&E majors in their senior year. Students carry out a major project in groups of four, applying techniques and concepts learned in the major. Project work includes problem identification and definition, data collection and synthesis, modeling, development of feasible solutions, and presentation of results. Service Learning Course (certified by Haas Center). Satisfies the WIM requirement for MS&E majors.
Terms: Win

Units: 5

Grading: Letter (ABCD/NP)
Instructors:
Chiu, S. (PI)
;
Katila, R. (PI)
;
Pelger, M. (PI)
;
Shachter, R. (PI)
;
Tse, E. (PI)
;
Valentine, M. (PI)
MS&E 111: Introduction to Optimization (ENGR 62, MS&E 211)
Formulation and computational analysis of linear, quadratic, and other convex optimization problems. Applications in machine learning, operations, marketing, finance, and economics. Prerequisite:
CME 100 or
MATH 51.
Terms: Spr

Units: 34

UG Reqs: GER:DBEngrAppSci

Grading: Letter or Credit/No Credit
Instructors:
Goel, A. (PI)
MS&E 111X: Introduction to Optimization (Accelerated) (ENGR 62X, MS&E 211X)
Optimization theory and modeling. The role of prices, duality, optimality conditions, and algorithms in finding and recognizing solutions. Perspectives: problem formulation, analytical theory, computational methods, and recent applications in engineering, finance, and economics. Theories: finite dimensional derivatives, convexity, optimality, duality, and sensitivity. Methods: simplex and interiorpoint, gradient, Newton, and barrier. Prerequisite:
CME 100 or
MATH 51 or equivalent.
Terms: Aut, Win

Units: 34

Grading: Letter or Credit/No Credit
MS&E 112: Mathematical Programming and Combinatorial Optimization (MS&E 212)
Combinatorial and mathematical programming (integer and nonlinear) techniques for optimization. Topics: linear program duality and LP solvers; integer programming; combinatorial optimization problems on networks including minimum spanning trees, shortest paths, and network flows; matching and assignment problems; dynamic programming; linear approximations to convex programs; NPcompleteness. Handson exercises. Prerequisites: basic concepts in linear algebra and probability theory,
CS 106A or X.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Saberi, A. (PI)
MS&E 120: Probabilistic Analysis
Concepts and tools for the analysis of problems under uncertainty, focusing on focusing on structuring, model building, and analysis. Examples from legal, social, medical, and physical problems. Topics include axioms of probability, probability trees, random variables, distributions, conditioning, expectation, change of variables, and limit theorems. Prerequisite:
CME 100 or
MATH 51.
Terms: Aut

Units: 5

UG Reqs: GER:DBEngrAppSci, WAYAQR, WAYFR

Grading: Letter or Credit/No Credit
MS&E 121: Introduction to Stochastic Modeling
Stochastic processes and models in operations research. Discrete and continuous time parameter Markov chains. Queuing theory, inventory theory, simulation. Prerequisite: 120, 125, or equivalents.
Terms: Spr

Units: 4

UG Reqs: GER:DBEngrAppSci

Grading: Letter or Credit/No Credit
Instructors:
Chiu, S. (PI)
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