Fundamentals
1.00 Engineering Computation and Data Science
 ( ) 
(Subject meets with 1.001)
Prereq: Calculus I (GIR) and ((6.100A and 6.100B) or (6.100L and 16.C20))
Units: 3-2-7
Presents engineering problems in a computational setting with emphasis on data science and problem abstraction. Covers exploratory data analysis and visualization, filtering, regression. Building basic machine learning models (classifiers, decision trees, clustering) for smart city applications. Labs and programming projects focused on analytics problems faced by cities, infrastructure, and environment. Students taking graduate version complete additional assignments and project work.
J. Williams
1.000 Introduction to Computer Programming and Numerical Methods for Engineering Applications
( )
Prereq: None. Coreq: 18.03
Units: 3-2-7
 Lecture: MW9.30-11 (5-233) Lab: F9.30-11 (5-233) +final
Presents the fundamentals of computing and computer programming (procedural and object-oriented programming) in an engineering context. Introduces logical operations, floating-point arithmetic, data structures, induction, iteration, and recursion. Computational methods for interpolation, regression, root finding, sorting, searching, and the solution of linear systems of equations and ordinary differential equations. Control of sensors and visualization of scientific data. Draws examples from engineering and scientific applications. Students use the Python programming environment to complete weekly assignments.
R. Juanes
No required or recommended textbooks
1.001 Engineering Computation and Data Science
 ()
(Subject meets with 1.00)
Prereq: Calculus I (GIR)
Units: 3-2-7
Presents engineering problems in a computational setting with emphasis on data science and problem abstraction. Covers exploratory data analysis and visualization, filtering, regression. Building basic machine learning models (classifiers, decision trees, clustering) for smart city applications. Labs and programming projects focused on analytics problems faced by cities, infrastructure and environment. Students taking graduate version will complete additional assignments and project work. Programming experience in a language is required.
J. Williams
1.004 Startup Sustainable Tech
()
Not offered regularly; consult department
(Subject meets with 1.147)
Prereq: None
Units: 3-0-9
Provides a practical introduction to key innovations in the fields of civil and environmental engineering that are currently having an impact. Structured around the different aspects of starting and maintaining a company in the first years after incorporation. Key topics include idea protection, team formation, and seed funds. Guest speakers who are involved in the startup process or are successful entrepreneurs present. Under faculty supervision, students work on case studies in areas such as renewable energy, sustainable design, food security, climate change, new infrastructures, and transportation. Concludes with the writing of a SBIR/STTR-type grant or business model. Students taking graduate version complete additional assignments.
B. Marelli
1.005 Experiential Sustainability
()
Not offered regularly; consult department
Prereq: None
Units: 1-0-2
Examines the frameworks, governance, science, and social science of sustainability around students' summer internships, research, and other experiential learning activities. During the summer (virtually) and through the first four weeks of the fall term, students engage in small group discussions on diverse topics in sustainability, from environmental justice to corporate social responsibility. Includes global climate action negotiation simulation activities, roundtables with experts in sustainability, and/or similar opportunities for interaction with broad topics in sustainability. In the fall, students reflect on their engagement with sustainability during their summer experience, culminating in a showcase of final presentations. Students planning to take this subject must apply in the spring; consult the program website for details.
D. Plata
1.006 Tools for Sustainable Design
()
Not offered regularly; consult department
Prereq: None
Units: 3-0-9
Conveys the principles, tools, and practice of environmentally sustainable design. Augments understanding of societal limitations to implementation of sustainable solutions, such that they may be strategically navigated. Presents the arguments and historical motivation for early evaluation of environmental impact metrics; illustrates and utilizes modern, rigorous tools for environmental optimization; and highlights national and global experts drawn from non-governmental organizations (NGOs), government, industry, and academia. Provides an overview of the principles of Green Chemistry and Engineering, Life Cycle Analysis, toxicity prediction, and basic chemical and materials flows knowledge.
D. Plata
1.008 Engineering for a Sustainable World
()
Not offered regularly; consult department
Prereq: None
Units: 1-1-1 [P/D/F]
Introduces engineering principles for sustainable development of infrastructure, environmental, and societal systems. Faculty members discuss case studies that highlight challenges and opportunities in the areas of smart cities, cyber-physical systems (transportation, electricity, and societal networks), sustainable resource management (land, water, and energy), and resilient design under the changing environment. Instruction covers the use of computation and data analytics for generating insights, and exercises designed to promote systems thinking and problem-solving skills. Subject can count toward the 6-unit discovery-focused credit limit for first-year students.
S. Amin
1.009 Climate Change
 ()
Prereq: None
Units: 1-0-2 [P/D/F]
TBA.
Provides an introduction to global climate change processes, drivers, and impacts. Offers exposure to exciting MIT research on climate change. Students explore why and how the world should solve this global problem and how they can contribute to the solutions. Students produce a mini-project on the topic. Subject can count toward the 6-unit discovery-focused credit limit for first year students.
E. Eltahir
No textbook information available
1.010 Probability and Causal Inference
()
Not offered regularly; consult department
Prereq: Calculus II (GIR)
Units: 5-0-7
Introduces probability and causal inference with an emphasis on understanding, quantifying, and modeling uncertainty and cause-effect relationships in an engineering context. Topics in the first half include events and their probability, the total probability and Bayes' theorems, discrete and continuous random variables and vectors, and conditional analysis. Topics in the second half include covariance, correlation, regression analysis, causality analysis, structural causal models, interventions, and hypothesis testing. Concepts illustrated through data and applications. credit cannot also be received for 1.010A or 1.010B.
S. Saavedra
1.010A Probability: Concepts and Applications
(); first half of term
Prereq: Calculus II (GIR)
Units: 2-0-4
Ends Oct 17. Lecture: TR3-4.30 (1-242) Recitation: W2.30 (1-242)
Introduces probability with an emphasis on probabilistic systems analysis. Readings about conceptual and mathematical background are given in advanced of each class. Classes revise background and are centered on developing problem-solving skills. The course is exam-based and focused on the analysis of probabilistic outcomes, estimating what can happen under uncertain environments. Topics include random events and their probability, combinatorial analysis, conditional analysis, random vectors, functions of random vectors, propagation of uncertainty, and prediction analysis.
S. Saavedra
No required or recommended textbooks
1.010B Causal Inference for Data Analysis
(); second half of term
(Subject meets with 1.10)
Prereq: 1.010A or permission of instructor
Units: 2-0-4
Begins Oct 20. Lecture: TR3-4.30 (1-242) Recitation: W2.30 (1-242)
Introduces causal inference with an emphasis on probabilistic systems analysis. Readings about conceptual and mathematical background are given in advanced of each class. Focused on understanding theory based on real-world applications. The subject is project-based and focused on cause-effect relationships, understanding why probabilistic outcomes happen. Topics include correlation analysis, Reichenbach's principle, Simpson's paradox, structural causal models and graphs, interventions, do-calculus, average causal effects, dealing with missing information, mediation, and hypothesis testing. Students taking graduate version complete additional assignments.
S. Saavedra
No required or recommended textbooks
1.013 Senior Civil and Environmental Engineering Design
(, ) 
Prereq: Permission of instructor
Units: 1-3-2
Lecture: T2-4 (1-134) Lab: TBA
Students engage with faculty around a topic of mutual interest, building on the knowledge/skills gained throughout their program. Synthesizes prior coursework and experiences through a semester-long design project and related assignments. Students form teams and work on projects advised by faculty representatives from each core in the 1-ENG curriculum. Teams demonstrate creativity in applying theories and methodologies while considering their project's technical, environmental and social feasibility. Includes lectures on a variety of related engineering concepts, as well as scholarship and engineering practice and ethics. Provides instruction and practice in oral and written communication.
Fall: B. Marelli
Spring: B. Marelli, O. Cordero
No required or recommended textbooks
1.015[J] Design of Electromechanical Robotic Systems
() 
(Same subject as 2.017[J])
Prereq: 2.003, 2.016, and 2.678; Coreq: 2.671
Units: 3-3-6
Design, construction, and testing of field robotic systems, through team projects with each student responsible for a specific subsystem. Projects focus on electronics, instrumentation, and machine elements. Design for operation in uncertain conditions is a focus point, with ocean waves and marine structures as a central theme. Basic statistics, linear systems, Fourier transforms, random processes, spectra and extreme events with applications in design. Lectures on ethics in engineering practice included. Instruction and practice in oral and written communication provided. Satisfies 6 units of Institute Laboratory credit. Enrollment may be limited due to laboratory capacity.
M. Triantafyllou, A. Bennett
1.016[J] Design for Complex Environmental Issues
()
(Same subject as 2.00C[J], EC.746[J])
Prereq: None
Units: 3-2-4
Working in small teams with real clients, students develop solutions related to the year's Terrascope topic. They have significant autonomy as they follow a full engineering design cycle from client profile through increasingly sophisticated prototypes to final product. Provides opportunities to acquire skills with power tools, workshop practice, design, product testing, and teamwork. Focuses on sustainability and appropriate technology that matches the client's specific situation and constraints. Products are exhibited in the public Bazaar of Ideas and evaluated by an expert panel. Class taught in collaboration with the Edgerton Center, D-Lab, and Beaver Works. Limited to first-year students. Preference given to students who have completed 12.000, but open to students outside Terrascope when space permits.
A. W. Epstein, J. Grimm
1.018[J] Fundamentals of Ecology
()
(Same subject as 7.30[J], 12.031[J])
Prereq: None
Units: 4-0-8
Lecture: MW10.30-12 (48-308) Recitation: M1 (48-316) or F2 (48-316) +final
Fundamentals of ecology, considering Earth as an integrated dynamic living system. Coevolution of the biosphere and geosphere, biogeochemical cycles, metabolic diversity, primary productivity, competition and the niche, trophic dynamics and food webs, population growth and limiting factors. Population modeling, global carbon cycle, climate change, geoengineering, theories of resource competition and mutualism, allometric scaling, ecological genomics, niche theory, human population growth. Applied ecology.
O. Cordero, D. McRose, C. Terrer
No required or recommended textbooks
1.020 Modeling and Decision-Making for Sustainability
()
Prereq: Physics I (GIR), 18.03, and (1.00 or 1.000)
Units: 3-2-7
Introduces a systems approach to modeling, analysis, and design of sustainable systems. Covers principles of dynamical systems, network models, optimization, and control, with applications in ecosystems, infrastructure networks, and energy systems. Includes a significant programming component. Students implement and analyze numerical models of systems, and make design decisions to balance physical, environmental, and economic considerations based on real and simulated data.
S. Amin
1.021 Introduction to Modeling and Simulation
()
Engineering School-Wide Elective Subject.
(Offered under: 1.021, 3.021, 10.333, 22.00)
Prereq: 18.03 or permission of instructor
Units: 4-0-8
Basic concepts of computer modeling and simulation in science and engineering. Uses techniques and software for simulation, data analysis and visualization. Continuum, mesoscale, atomistic and quantum methods used to study fundamental and applied problems in physics, chemistry, materials science, mechanics, engineering, and biology. Examples drawn from the disciplines above are used to understand or characterize complex structures and materials, and complement experimental observations.
M. Buehler, A. Hoffman
1.022 Introduction to Network Models
 ()
Prereq: (1.010A, 18.03, and (1.00 or 1.000)) or permission of instructor
Units: 4-0-8
Provides an introduction to complex networks, their structure, and function, with examples from engineering, applied mathematics and social sciences. Topics include spectral graph theory, notions of centrality, random graph models, contagion phenomena, cascades and diffusion, and opinion dynamics.
J. Tang
1.032 Advanced Soil Mechanics
(); first half of term
(Subject meets with 1.361)
Prereq: 1.037
Units: 3-0-6
Ends Oct 17. Lecture: MWF10.30-12 (1-379)
Covers topics in the characterization and nature of soils as multi-phase materials; the principle of effective stress; hydraulic conductivity and groundwater seepage; shear strength and stability analyses; stress-deformation properties, consolidation theory and calculation of settlements for clays and sands. Students taking graduate version complete additional assignments.
A. Whittle
No required or recommended textbooks
1.034[J] Materials in Human Experience
() 
(Same subject as 3.094[J])
Prereq: None
Units: 2-3-4
Examines how people throughout history have selected, evaluated, processed, and utilized natural materials to create objects of material culture. Explores ideological and aesthetic criteria influential in materials development. As examples of ancient engineering and materials processing, topics may include ancient Roman concrete and prehistoric iron and steel production by the Mossi, Haya, and other African cultures. Particular attention paid to the climate issues surrounding iron and cement, and how the examination of ancient technologies can inform our understanding of sustainability in the present and illuminate paths for the future. Previous topics have included Maya use of lime plaster for frescoes, books, and architectural sculpture; the sound, color, and power of metals in Mesoamerica; and metal, cloth, and fiber technologies in the Inca empire. Laboratory sessions provide practical experience with materials discussed in class. Enrollment limited to 24.
M. Tarkanian, A. Masic, J. Hunter, R. Vedro
1.035 Mechanics of Materials
()
Prereq: 1.050 or permission of instructor
Units: 3-2-7
Covers the structure and properties of natural and manufactured engineering materials with an emphasis on the fundamentals of mechanical behavior of materials, while considering their use in civil and environmental engineering design. Topics include linear elasticity, plasticity, viscoelasticity, fracture, and fatigue. Laboratory experiments present principles of experimental characterization techniques, materials selection, and design.
A. Whittle
1.036 Structural Mechanics and Design
()
Prereq: None. Coreq: 1.050
Units: 3-1-8
Lecture: MW1-2.30 (1-277) Recitation: F1 (1-277)
Familiarizes students with structural systems, loads, and basis for structural design, including analysis of determinate and indeterminate structures (trusses, beams, frames, cables, and arches). Covers mechanical properties of construction materials, including concrete, steel, and composites. Studies concrete and steel structures through application of principles of structural mechanics. Evaluates behavior and design of reinforced concrete structural elements using limit strength design and serviceability principles. Introduces plastic analysis and design, and load factor design of structural steel members and connections. Team project emphasizes material covered through behavior and problem-based learning.
O. Buyukozturk
No textbook information available
1.037 Soil Mechanics and Geotechnical Design
()
Prereq: 1.050
Units: 3-2-7
Provides an introduction to soils as engineering materials, including classification and characterization, pore pressures and seepage, principles of effective stress and consolidation, deformation, and shear strength properties. Surveys analysis methods, with a focus on slope stability, limiting earth pressures and bearing capacity, and settlements of foundations. Examines applications in the design of earth dams, earth retaining systems, foundations, and staged construction processes.
A. Whittle
1.041[J] Transportation: Foundations and Methods
()
(Same subject as IDS.075[J])
(Subject meets with 1.200[J], 11.544[J], IDS.675[J])
Prereq: (1.010A and (1.00 or 1.000)) or permission of instructor
Units: 3-1-8
Covers core analytical and numerical methods for modeling, planning, operations, and control of transportation systems. Traffic flow theory, vehicle dynamics and behavior, numerical integration and simulation, graphical analysis. Properties of delays, queueing theory. Resource allocation, optimization models, linear and integer programming. Autonomy in transport, Markov Decision Processes, reinforcement learning, deep learning. Applications drawn broadly from land, air, and sea transport; private and public sector; transport of passengers and goods; futuristic, modern, and historical. Hands-on computational labs. Linear algebra background is encouraged but not required. Students taking graduate version complete additional assignments.
C. Wu
1.044[J] Applied Category Theory for Engineering Design
(New)
()
(Same subject as 11.114[J])
(Subject meets with 1.144[J], 11.214[J], 16.880[J], EM.431[J], IDS.344[J])
Prereq: (Calculus II (GIR) and 18.06) or permission of instructor
Units: 4-0-8
Lecture: MW11-12.30 (1-150) Recitation: F1 (1-246)
Considers the multiple trade-offs at various abstraction levels and scales when designing complex, multi-component systems. Covers topics from foundational principles to advanced applications, emphasizing the role of compositional thinking in engineering. Introduces category theory as a mathematical framework for abstraction and composition, enabling a unified and modular approach to modeling, analyzing, and designing interconnected systems. Showcases successful applications in areas such as dynamical systems and automated system design optimization, with a focus on autonomous robotics and mobility. Offers students the opportunity to work on their own application through a dedicated project in the second half of the term. Students taking graduate version complete additional assignments.
G. Zardini
No textbook information available
1.050 Solid Mechanics
()
Prereq: Physics I (GIR); Coreq: Calculus II (GIR)
Units: 3-2-7
Lecture: MWF11 (5-233) Lab: M3-5 (5-233) +final
Introduction to statics and the principles of mechanics to describe the behavior of structures. Topics include free body diagrams, static equilibrium, force analysis of slender members, concept of stress and strain, linear elasticity, principal stresses and strains, Mohr's circle, and failure modes. Application to engineering structures such as bars, beams, frames, and trusses.
J. Carstensen
No textbook information available
1.052 Advancing Mechanics and Materials via Machine Learning
()
(Subject meets with 1.121[J], 2.174[J])
Prereq: Calculus II (GIR), Physics II (GIR), and (1.000, 6.100A, 6.100L, or 16.C20)
Units: 3-0-9
Concepts in mechanics (solid mechanics: continuum, micro, meso and molecular mechanics; elasticity, plasticity, fracture and buckling) and machine learning (stochastic optimization, neural networks, convolutional neural nets, adversarial neural nets, graph neural nets, recurrent neural networks and long/short-term memory nets, attention models, variational/autoencoders) introduced and applied to mechanics problems. Covers numerical methods, data and image processing, dataset generation, curation and collection, and experimental validation using additive manufacturing. Modules cover: foundations, fracture mechanics and size effects, molecular mechanics and applications to biomaterials (proteins), forward and inverse problems, mechanics of architected materials, and time dependent mechanical phenomena. Students taking graduate version complete additional assignments.
M. Buehler
1.053[J] Dynamics and Control I
(, )
(Same subject as 2.003[J])
Prereq: Physics II (GIR); Coreq: 2.087 or 18.03
Units: 4-1-7
Lecture: TR9-10.30 (10-250) Recitation: R12 (1-371) or R1 (3-442) or R2 (3-442) or F10 (5-217) or F11 (5-217) or F12 (5-217) +final
Introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Kinematics. Force-momentum formulation for systems of particles and rigid bodies in planar motion. Work-energy concepts. Virtual displacements and virtual work. Lagrange's equations for systems of particles and rigid bodies in planar motion. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear multi-degree of freedom models of mechanical systems; matrix eigenvalue problems.
Fall: F. Hover
Spring: T. Peacock
No required or recommended textbooks
1.054 Mechanics and Design of Concrete Structures
()
(Subject meets with 1.541)
Prereq: 1.036 or permission of instructor
Units: 3-0-9
Studies strength and deformation of concrete under various states of stress; failure criteria; concrete plasticity; and fracture mechanics concepts. Topics include fundamental behavior of reinforced concrete structural systems and their members; basis for design and code constraints; high-performance concrete materials and their use in innovative design solutions; and yield line theory for slabs. Uses behavior models and nonlinear analysis. Covers complex systems, including bridge structures, concrete shells, and containments. Students taking graduate version complete additional assignments.
O. Buyukozturk
1.056[J] Introduction to Structural Design
() 
(Same subject as 4.440[J])
(Subject meets with 4.462)
Prereq: Calculus II (GIR)
Units: 3-3-6
Introduces the design and behavior of large-scale structures and structural materials. Emphasizes the development of structural form and the principles of structural design. Presents design methods for timber, masonry, concrete, and steel applied to long-span roof systems, bridges, and high-rise buildings. Includes environmental assessment of structural systems and materials. In laboratory sessions, students solve structural problems by building and testing simple models. Graduate and undergraduate students have separate lab sections.
Staff
1.057 Heritage Science and Technology
()
Not offered regularly; consult department
Prereq: Permission of instructor
Units: 2-3-4
Interdisciplinary, applied introduction to ancient materials and technology. Students explore materials sustainability and durability from multiple perspectives, using ancient societies, architecture and building materials as time-proven examples of innovation in construction. Involves discussions of peer-reviewed literature and cultural heritage, project formulation, data collection, and data analysis. Culminates in presentation of research project(s), and write-ups of the research in manuscript form.
A. Masic
1.058 Structural Dynamics
()
(Subject meets with 1.581[J], 2.060[J], 16.221[J])
Prereq: 18.03 or permission of instructor
Units: 3-0-9
Lecture: MW9.30-11 (1-371)
Examines response of structures to dynamic excitation: free vibration, harmonic loads, pulses and earthquakes. Covers systems of single- and multiple-degree-of-freedom, up to the continuum limit, by exact and approximate methods. Includes applications to buildings, ships, aircraft and offshore structures. Students taking graduate version complete additional assignments.
H. Borja da Rocha
No required or recommended textbooks
1.060 Fluid Mechanics
()
Prereq: None
Units: 4-2-6
Credit cannot also be received for 1.060A
Mechanics principles for incompressible fluids. Review of hydrostatics. Conservation of mass, momentum and energy in fluid mechanics. Flow nets, velocity distributions in laminar and turbulent flows, groundwater flows. Momentum and energy principles in hydraulics, with emphasis on open channel flow and hydraulic structures. Drag and lift forces. Analysis of pipe systems, pumps and turbines. Gradually varied flow in open channels, significance of the Froude number, backwater curves and kinematic waves. Application of principles through open-ended studio exercises. Meets with 1.060A first half of term.
B. Marelli
1.060A Fluid Mechanics I
(); first half of term
Prereq: None. Coreq: 18.03; or permission of instructor
Units: 2-1-3
Credit cannot also be received for 1.060
Mechanics principles for incompressible fluids. Review of hydrostatics. Conservation of mass, momentum and energy in fluid mechanics. Flow nets, velocity distributions in laminar and turbulent flows, groundwater flows. Momentum and energy principles in hydraulics, with emphasis on open channel flow and hydraulic structures. Meets with 1.060 in first half of term.
B. Marelli
1.061 Transport Processes in the Environment
()
(Subject meets with 1.61)
Prereq: 1.060
Units: 3-1-8
Credit cannot also be received for 1.061A
Lecture: MWF11 (48-316) Recitation: TBA
Introduction to mass transport in environmental flows, with emphasis on river and lake systems. Covers derivation and solutions to the differential form of mass conservation equations, hydraulic models for environmental systems, residence time distribution, molecular and turbulent diffusion for continuous and point sources, boundary layers, dissolution, bed-water exchange, air-water exchange, and particle transport. Meets with 1.061A first half of term. Students taking graduate version complete additional assignments.
H. M. Nepf
No required or recommended textbooks
1.061A Transport Processes in the Environment I
(); first half of term
Prereq: 1.060A
Units: 2-1-3
Credit cannot also be received for 1.061, 1.61
Lecture: MWF11 (ENDS OCT 17) (48-316) Recitation: TBA
Introduction to mass transport in environmental flows. Covers derivation and solution to the differential form of mass conservation, hydraulic models for environmental systems, residence time distribution, and molecular and turbulent diffusion for continuous and point sources. Meets with 1.061 first half of term.
H. Nepf
No required or recommended textbooks
1.062[J] Nonlinear Dynamics: Continuum Systems
()
(Same subject as 12.207[J], 18.354[J])
(Subject meets with 18.3541)
Prereq: Physics II (GIR) and (18.03 or 18.032)
Units: 3-0-9
General mathematical principles of continuum systems. From microscopic to macroscopic descriptions in the form of linear or nonlinear (partial) differential equations. Exact solutions, dimensional analysis, calculus of variations and singular perturbation methods. Stability, waves and pattern formation in continuum systems. Subject matter illustrated using natural fluid and solid systems found, for example, in geophysics and biology.
Staff
1.063 Fluids and Diseases
()
(Subject meets with 1.631[J], 2.250[J], HST.537[J])
Prereq: 18.03 or permission of instructor
Units: 3-3-6
Designed for students in engineering and the quantitative sciences who want to explore applications of mathematics, physics and fluid dynamics to infectious diseases and health; and for students in epidemiology, environmental health, ecology, medicine, and systems modeling seeking to understand physical and spatial modeling, and the role of fluid dynamics and physical constraints on infectious diseases and pathologies. The first part of the class reviews modeling in epidemiology and data collection, and highlights concepts of spatial modeling and heterogeneity. The remainder highlights multi-scale dynamics, the role of fluids and fluid dynamics in physiology, and pathology in a range of infectious diseases. The laboratory portion entails activities aimed at integrating applied learning with theoretical concepts discussed in lectures and covered in problem sets. Students taking graduate version complete additional assignments.
L. Bourouiba
1.066[J] Fluid Physics
()
(Same subject as 8.292[J], 12.330[J])
Prereq: 5.60, 8.044, or permission of instructor
Units: 3-0-9
A physics-based introduction to the properties of fluids and fluid systems, with examples drawn from a broad range of sciences, including atmospheric physics and astrophysics. Definitions of fluids and the notion of continuum. Equations of state and continuity, hydrostatics and conservation of momentum; ideal fluids and Euler's equation; viscosity and the Navier-Stokes equation. Energy considerations, fluid thermodynamics, and isentropic flow. Compressible versus incompressible and rotational versus irrotational flow; Bernoulli's theorem; steady flow, streamlines and potential flow. Circulation and vorticity. Kelvin's theorem. Boundary layers. Fluid waves and instabilities. Quantum fluids.
L. Bourouiba
1.067[J] Energy Systems for Climate Change Mitigation
()
(Same subject as 10.421[J], IDS.065[J])
(Subject meets with 1.670[J], 10.621[J], IDS.521[J])
Prereq: (Calculus I (GIR), Chemistry (GIR), and Physics I (GIR)) or permission of instructor
Units: 3-0-9
Lecture: TR11-12.30 (56-114)
Reviews the contributions of energy systems to global greenhouse gas emissions, and the levers for reducing those emissions. Lectures and projects focus on evaluating energy systems against climate policy goals, using performance metrics such as cost, carbon intensity, and others. Student projects explore pathways for realizing emissions reduction scenarios. Projects address the climate change mitigation potential of energy technologies (hardware and software), technological and behavioral change trajectories, and technology and policy portfolios. Background in energy systems strongly recommended. Students taking the graduate version explore the subject in greater depth. Preference to students in the Energy Studies or Environment and Sustainability minors.
J. Trancik
No required or recommended textbooks
1.068 Nonlinear Dynamics and Turbulence
()
(Subject meets with 1.686[J], 2.033[J], 18.358[J])
Prereq: 1.060A
Units: 3-2-7
Reviews theoretical notions of nonlinear dynamics, instabilities, and waves with applications in fluid dynamics. Discusses hydrodynamic instabilities leading to flow destabilization and transition to turbulence. Focuses on physical turbulence and mixing from homogeneous isotropic turbulence. Also covers topics such as rotating and stratified flows as they arise in the environment, wave-turbulence, and point source turbulent flows. Laboratory activities integrate theoretical concepts covered in lectures and problem sets. Students taking graduate version complete additional assignments.
L. Bourouiba
1.070A[J] Introduction to Hydrology and Water Resources
(); first half of term
(Same subject as 12.320A[J])
Prereq: 1.060A; Coreq: 1.061A and 1.106
Units: 2-0-4
Ends Oct 17. Lecture: TR10.30-12 (48-308)
Water in the environment; Water resource systems; The hydrologic cycle at its role in the climate system; Surface water and energy balance; evaporation and transpiration through vegetation; Precipitation formation, infiltration, storm runoff, and flood processes; Groundwater aquifers, subsurface flow and the hydraulics of wells.
D. Entekhabi
No required or recommended textbooks
1.070B[J] Introduction to Hydrology Modeling
(); second half of term
(Same subject as 12.320B[J])
Prereq: 1.070A
Units: 2-0-4
Begins Oct 20. Lecture: TR10.30-12 (48-308)
Develops understanding of numerical modeling of aquifers, groundwater flow and contaminant transport, as well as uncertainty and risk analysis for water resources.
D. Entekhabi
No required or recommended textbooks
1.071[J] Global Change Science
()
(Same subject as 12.300[J])
(Subject meets with 1.771)
Prereq: 18.03
Units: 3-0-9
Introduces the basic principles and concepts in atmospheric physics, and climate dynamics, through an examination of: greenhouse gases emissions (mainly CO2), global warming, and regional climate change. Case studies are presented for the regional impacts of climate change on extreme weather, water availability, and disease transmission. Introduction to regional and global environmental problems for students in basic sciences and engineering. Students taking graduate version complete additional assignments.
E. Eltahir
1.072 Groundwater Hydrology
()
(Subject meets with 1.72)
Prereq: 1.061
Units: 3-1-8
Presents the fundamentals of subsurface flow and transport, emphasizing the role of groundwater in the hydrologic cycle, the relation of groundwater flow to geologic structure, and the management of contaminated groundwater. Topics include Darcy equation, flow nets, mass conservation, the aquifer flow equation, heterogeneity and anisotropy, storage properties, regional circulation, unsaturated flow, recharge, stream-aquifer interaction, well hydraulics, flow through fractured rock, numerical models, groundwater quality, contaminant transport processes, dispersion, decay, and adsorption. Includes laboratory and computer demonstrations. Students taking graduate version complete additional assignments.
C. Harvey
1.073 Introduction to Environmental Data Analysis
()
Prereq: 1.010
Units: 2-0-4
Lecture: MW9.30-11 (48-316)
Covers theory and practical methods for the analysis of univariate data sets. Topics include basics of statistical inference, analysis of trends and stationarity; Gaussian stochastic processes, covariance and correlation analysis, and introduction to spectral analysis. Students analyze data collected from the civil, environment, and systems domains.
O. Cordero
No textbook information available
1.074 Multivariate Data Analysis
()
(Subject meets with 1.174)
Prereq: 1.000 and 1.010A
Units: 2-0-4
Introduction to statistical multivariate analysis methods and their applications to analyze data and mathematical models. Topics include sampling, experimental design, regression analysis, specification testing, dimension reduction, categorical data analysis, classification and clustering.
S. Amin
1.075 Water Resource Systems
()
Not offered regularly; consult department
(Subject meets with 1.731)
Prereq: 1.070B or permission of instructor
Units: 3-0-9
Surveys optimization and simulation methods for management of water resources. Case studies illustrate linear, quadratic, nonlinear programming and real-time control. Applications include river basin planning, irrigation and agriculture, reservoir operations, capacity expansion, assimilation of remote sensing data, and sustainable resource development. Students taking graduate version complete additional assignments.
D. McLaughlin
1.076 Carbon Management
()
(Subject meets with 1.760)
Prereq: None
Units: 3-2-7
Introduces the carbon cycle and "climate solutions." Provides specialized knowledge to manage and offset carbon emissions for government entities and large corporations through nature-based solutions and technology. Students prepare a mini-project simulating the assessment of practices and technologies for removing carbon dioxide from the air for a specific organization, which prepares them to become professionals with the skills to help evaluate and manage carbon emissions. Students taking graduate version complete additional assignments.
C. Terrer
1.077 Land, Water, Food, and Climate
()
Not offered regularly; consult department
(Subject meets with 1.74)
Prereq: None
Units: 3-0-6
Examines land, water, food, and climate in a changing world, with an emphasis on key scientific questions about the connections between natural resources and food production. Students read and discuss papers on a range of topics, including water and land resources, climate change, demography, agroecology, biotechnology, trade, and food security. Supporting information used for background and context includes data and analysis based on government reports, textbooks, and longer peer-reviewed documents not included in the readings. Provides a broad perspective on one of the defining global issues of this century. Students carry out exercises with relevant data sets, write critiques of key issues, and complete a focused term project. Completion of MIT Science Core or equivalent recommended but not required. Students taking graduate version complete additional assignments.
D. McLaughlin
1.080 Chemicals in the Environment
()
(Subject meets with 1.800)
Prereq: Chemistry (GIR)
Units: 3-0-9
Introduction to environmental chemistry, focusing on the fate and impact of chemicals in both natural and engineered systems. Covers equilibrium reactions (e.g., partitioning, dissolution/precipitation, acid-base, redox, metal complexation), and kinetically-controlled reactions (e.g., photolysis, free radical oxidation). Specific environmental topics covered include heavy metals in natural waters, drinking water, and soils; biogeochemical cycles; radioactivity in the environment; smog formation; greenhouse gases and climate change; and engineering for the prevention and remediation of pollution. Students taking the graduate version complete additional assignments.
J. Kroll
1.082 Ethics for Engineers
(, )
Engineering School-Wide Elective Subject.
(Offered under: 1.082, 2.900, 6.9320, 10.01, 16.676)
Prereq: None
Units: 2-0-4
Credit cannot also be received for 7.105, 20.005
URL: https://e4e.mit.edu/
Lecture: M3-5 (E17-517, 66-148) or T3-5 (66-148) or W3-5 (66-148) or W EVE (7-9 PM) (66-148)
Explores how to be an ethical engineer. Students examine engineering case studies alongside key readings by foundational ethical thinkers from Aristotle to Martin Luther King, Jr., and investigate which ethical approaches are best and how to apply them. Topics include justice, rights, cost-benefit analysis, safety, bias, genetic engineering, climate change, and the promise and peril of AI. Discussion-based, with the aim of introducing students to new ways of thinking. All sections cover the same core ethical frameworks, but some sections have a particular focus for case studies, such as bioengineering, or have an in-depth emphasis on particular thinkers. The subject is taught in separate sections. Students are eligible to take any section regardless of their registered subject number. For 20.005, students additionally undertake an ethical-technical analysis of a BE-related topic of their choosing.
Fall: B. L. Trout, P. Hansen, D. Lauffenburger, K. Hansen
Spring: P. Hansen, L. Guarente, D. Lauffenburger, K. Hansen
No required or recommended textbooks
1.084[J] Applied Microbiology
()
(Same subject as 20.106[J])
Prereq: Biology (GIR) and Chemistry (GIR)
Units: 3-0-9
Lecture: TR2.30-4 (26-168)
Introductory microbiology from a systems perspective - considers microbial diversity and the integration of data from a molecular, cellular, organismal, and ecological context to understand the interaction of microbial organisms with their environment. Special emphasis on specific viral, bacterial, and eukaryotic microorganisms and their interaction with animal hosts with focus on contemporary problems in areas such as vaccination, emerging disease, antimicrobial drug resistance, and toxicology.
J. Niles
No textbook information available
1.085[J] Air Pollution and Atmospheric Chemistry
()
Not offered regularly; consult department
(Same subject as 12.336[J])
Prereq: 18.03
Units: 3-0-9
Provides a working knowledge of basic air quality issues, with emphasis on a multidisciplinary approach to investigating the sources and effects of pollution. Topics include emission sources; atmospheric chemistry and removal processes; meteorological phenomena and their impact on pollution transport at local to global scales; air pollution control technologies; health effects; and regulatory standards. Discusses regional and global issues, such as acid rain, ozone depletion and air quality connections to climate change. Students taking graduate version complete additional assignments. Recommended for upper-level undergraduate students.
C. Heald
1.086 Physics and Engineering of Renewable Energy Systems
()
(Subject meets with 1.861)
Prereq: (Physics I (GIR), Physics II (GIR), and 18.03) or permission of instructor
Units: 3-0-9
Introduction to renewable energy generation in the context of the energy grid system. Focuses on computational analysis of energy systems. Topics include the energy grid and energy markets; fossil fuel generation; wind, solar, hydroelectric, and ocean energy; and energy storage. Tools, including computational models of wind energy generation and energy forecasting algorithms, introduced. Final project focuses on the development of low-carbon, low-cost energy systems. Students taking graduate version complete additional assignments.
M. Howland
1.088 Genomics and Evolution of Infectious Disease
()
(Subject meets with 1.881[J], HST.538[J])
Prereq: Biology (GIR) and (1.000 or 6.100B)
Units: 3-0-9
Provides a thorough introduction to the forces driving infectious disease evolution, practical experience with bioinformatics and computational tools, and discussions of current topics relevant to public health. Topics include mechanisms of genome variation in bacteria and viruses, population genetics, outbreak detection and tracking, strategies to impede the evolution of drug resistance, emergence of new disease, and microbiomes and metagenomics. Discusses primary literature and computational assignments. Students taking graduate version complete additional assignments.
T. Lieberman
1.089 Environmental Microbial Biogeochemistry
()
(Subject meets with 1.89)
Prereq: Biology (GIR)
Units: 3-0-9
Provides a thorough introduction to biogeochemical cycling from the vantage point of microbial physiology. Emphasizes molecular mechanisms, experimental design and methodology, hypothesis testing, and applications. Topics include aerobic and anaerobic respiration, trace metals, secondary metabolites, redox, plant-microbe interactions, carbon storage, agriculture, and bioengineering. Formal lectures and in-depth discussions of foundational and contemporary primary literature. Students use knowledge of microbial metabolisms to develop final projects on applied solutions to problems in agriculture and biogeochemistry. Students taking graduate version complete additional assignments.
D. McRose
1.091 Traveling Research Environmental eXperience (TREX): Fieldwork
( )
Prereq: Permission of instructor
Units: 1-2-0
Introduction to environmental fieldwork and research, with a focus on data collection and analysis. Subject spans three weeks, including two weeks of fieldwork, and involves one or more projects central to environmental science and engineering. Location varies year-to-year, though recent projects have focused on the island of Hawaii. Limited to Course 1 students.
D. Des Marais
1.096[J] Design of Sustainable Polymer Systems
()
(Same subject as 10.496[J])
Prereq: (10.213 and 10.301) or permission of instructor
Units: 3-0-6
Capstone subject in which students are charged with redesigning consumable plastics to improve their recyclability and illustrate the potential future of plastic sourcing and management. Students engage with industry partners and waste handlers to delineate the design space and understand downstream limitations in waste treatment. Instruction includes principles of plastic design, polymer selection, cost estimation, prototyping, and the principles of sustainable material design. Students plan and propose routes to make enhanced plastic kits. Industry partners and course instructors select winning designs. Those students can elect to proceed to a semester of independent study in which prototype kits are fabricated (using polymer extrusion, cutting, 3D printing), potentially winning seed funds to translate ideas into real impacts. Preference to juniors and seniors in Courses 10, 1, and 2.
B. D. Olsen, D. Plata
1.097 Introduction to Civil and Environmental Engineering Research
()
Prereq: None
Units: 1-5-0 [P/D/F]
Students work one-on-one with a CEE graduate student or postdoc mentor on a project that aligns with their research interests. Previous project topics include transportation networks, structural mechanics, sediment transport, climate science, and microbial ecology. Includes weekly seminar-style talks. Intended for first-year students.
Staff
1.098[J] Nuclear Energy and the Environment: Waste, Effluents, and Accidents
()
(Same subject as 22.078[J])
(Subject meets with 1.878[J], 22.78[J])
Prereq: Permission of instructor
Units: 3-0-9
Introduces the essential knowledge for understanding nuclear waste management. Includes material flow sheets for nuclear fuel cycle, waste characteristics, sources of radioactive wastes, compositions, radioactivity and heat generation, chemical processing technologies, geochemistry, waste disposal technologies, environmental regulations and the safety assessment of waste disposal. Covers different types of wastes: uranium mining waste, low-level radioactive waste, high-level radioactive waste and fusion waste. Provides the quantitative methods to compare the environmental impact of different nuclear and other energy-associated waste. Students taking graduate version complete additional assignments.
Staff
Undergraduate Laboratory Subjects
1.10 Causal Inference for Data Analysis
(New)
()
(Subject meets with 1.010B)
Prereq: None
Units: 2-0-4
TBA.
Introduces causal inference with an emphasis on probabilistic systems analysis. Readings about conceptual and mathematical background are given in advanced of each class. Focused on understanding theory based on real-world applications. The subject is project-based and focused on cause-effect relationships, understanding why probabilistic outcomes happen. Topics include correlation analysis, Reichenbach's principle, Simpson's paradox, structural causal models and graphs, interventions, do-calculus, average causal effects, dealing with missing information, mediation, and hypothesis testing. Students taking graduate version complete additional assignments.
Staff
No textbook information available
1.101 Introduction to Civil and Environmental Engineering Design
()
Prereq: None
Units: 0-4-2
Lab: TR1-3 (1-050)
Introduces the creative design process in the context of civil and environmental engineering. Emphasizes the idea-to-product trajectory: identification of a design question/problem, evaluation of requirements/constraints set by the application and/or client, and implementation into a concrete product deliverable. Fosters active learning through open-ended, student-driven projects in which teams apply the design process to a design/planning problem. In labs, students design and build a working model or an experiment that addresses a specific engineering aspect of their project. In addition to written and oral presentations, students start a web-based portfolio. Satisfies 6 units of Institute Laboratory credit. Enrollment limited; preference to Course 1 majors and minors.
T. Cohen
No required or recommended textbooks
1.102 Introduction to Civil and Environmental Engineering Design II
()
Not offered regularly; consult department
Prereq: 1.101 and (Physics II (GIR) or Coreq: 1.060)
Units: 1-3-2
Project-oriented subject focused on the principles and practice of engineering design. Emphasis on construction and deployment of designs, plus performance testing used to determine if designs behave as expected. Includes a major team project involving use and application of sensors, as well as environmentally-friendly, and energy-effective or energy-producing designs. Develops practical, teamwork and communication skills. Satisfies 6 units of Institute Laboratory credit. Enrollment limited; preference to Course 1 majors and minors.
A. Masic
1.103[J] Infrastructure Design for Climate Change
()
(Same subject as 11.173[J])
(Subject meets with 1.303[J], 11.273[J])
Prereq: Permission of instructor
Units: 0-2-4
Lab: TR1 (1-371)
In this team-oriented, project-based subject, students work to find technical solutions that could be implemented to mitigate the effects of natural hazards related to climate change, bearing in mind that any proposed measures must be appropriate in a given region's socio-political-economic context. Students are introduced to a variety of natural hazards and possible mitigation approaches as well as principles of design, including adaptable design and design for failure. Students select the problems they want to solve and develop their projects. During the term, officials and practicing engineers of Cambridge, Boston, Puerto Rico, and MIT Facilities describe their approaches. Student projects are documented in a written report and oral presentation. Students taking graduate version complete additional assignments. Enrollment limited; preference to juniors and seniors.
H. Einstein
No required or recommended textbooks
1.104 Sensing and Intelligent Systems
()
Prereq: (1.000 or 6.100A) and (1.101 or permission of instructor)
Units: 1-3-2
Introduces concepts and tools for modern sensing, data acquisition, and post-processing techniques, with applications to monitoring and control of infrastructure and environmental systems. Provides technical knowledge of sensing and monitoring technologies. Students collaborate to develop a design project that involves: selecting the right kind of sensors guided by the physical principles and sensing modalities; synthesizing multi-modal data for new applications; refining commercially available sensors for new real-world applications; designing a sensor network and building data-acquisition system for use in lab experiments and/or real-world deployments; sending the data over the Internet for visualization and post-processing; and using intuition and mathematical models to analyze the data. Guided visits to faculty research labs and field visits provide perspective. Provides instruction in oral and written communication.
S. Amin
1.105 Environmental Biology Laboratory
(New)
()
Prereq: Biology (GIR)
Units: 0-4-2
Lecture: T1-5 (48-109)
Laboratory and data analysis techniques and their application to problems in the environmental life sciences. Design and execution of experiments testing the interactive effects of environmental variables on the growth, physiology, metabolism, and reproduction of plants and microbes. Emphasis on applications in agriculture, vegetation-mediated latent heat flux, and biotechnology. Satisfies 6 units of Institute Laboratory credit. Enrollment limited; preference to 1-ENG and 1-12 majors.
D. Des Marais
No textbook information available
1.106 Environmental Fluid Mechanics Lab
()
Prereq: None. Coreq: 1.061A
Units: 0-4-2
Lab: W1-5 (48-109)
In this lab, students design and analyze experiments to understand fluid physics and mass transport processes that shape environmental systems and can be used to inform the design of nature-based solutions for environmental restoration. Emphasis is given to the design of experiments, uncertainty and propagation of error, and data analysis. Topics include diffusion, dispersion, residence time distributions, and surface waves, which are introduced in the context of designing treatment wetlands, coastal protection, and habitat restoration. Communication skills developed through the writing and revision of a formal lab report and an oral presentation. Satisfies 6 units of Institute Laboratory credit. Enrollment limited; preference to 1-ENG and 1-12 majors.
H. Nepf
No required or recommended textbooks
1.107 Water and Air Quality Laboratory
()
Prereq: None. Coreq: 1.080
Units: 0-4-2
Laboratory and field techniques in environmental engineering and its application to the understanding of natural and engineered ecosystems. Exercises involve data collection and analysis covering a range of topics, spanning all major domains of the environment (air, water, soils, and sediments), and using a number of modern environmental analytical techniques. Instruction and practice in written and oral communication provided. Concludes with a student-designed final project, which is written up in the form of a scientific manuscript. Satisfies 6 units of Institute Laboratory credit. Enrollment limited; preference to 1-ENG majors.
D. Plata
1.108 Climate and Sustainability Lab
()
Prereq: 12.003 or permission of instructor
Units: 3-4-5
Students work together on a project addressing climate mitigation and/or adaptation. The topic of the project changes from year to year but builds on the knowledge and skills gained in previous coursework in climate science and engineering. Students are challenged to demonstrate creativity in applying theories and methodologies while considering their project's technical, social, and theoretical feasibility. Includes lectures on related climate-change scientific and engineering concepts. Provides instruction and practice in oral and written communication.
C. Harvey
Engineering Information Systems and Computation
1.121[J] Advancing Mechanics and Materials via Machine Learning
()
(Same subject as 2.174[J])
(Subject meets with 1.052)
Prereq: None
Units: 3-0-9
Concepts in mechanics (solid mechanics: continuum, micro, meso, and molecular mechanics; elasticity, plasticity, fracture and buckling) and machine learning (stochastic optimization, neural networks, convolutional neural nets, adversarial neural nets, graph neural nets, recurrent neural networks and long/short-term memory nets, attention models, variational/autoencoders) introduced and applied to mechanics problems. Covers numerical methods, data and image processing, dataset generation, curation and collection, and experimental validation using additive manufacturing. Modules cover: foundations, fracture mechanics and size effects, molecular mechanics and applications to biomaterials (proteins), forward and inverse problems, mechanics of architected materials, and time dependent mechanical phenomena. Students taking graduate version complete additional assignments.
M. Buehler
1.125 Architecting and Engineering Software Systems
()
Prereq: None
Units: 3-0-9
 Subject Cancelled
Software architecting and design of cloud-based software-intensive systems. Targeted at future engineering managers who must understand both the business and technical issues involved in architecting enterprise-scale systems. Student teams confront technically challenging problems. Introduces modern dev-ops concepts and cloud-computing, including cloud orchestration for machine learning. Also discusses cyber-security issues of key management and use of encrypted messaging for distributed ledgers, e.g., blockchain. Students face problem solving in an active learning lab setting, completing in-class exercises and weekly assignments leading to a group project. Some programming experience preferred. Enrollment limited.
J. Williams
1.127[J] Reinforcement Learning: Foundations and Methods
()
(Same subject as 6.7920[J], IDS.140[J])
Prereq: 6.3700 or permission of instructor
Units: 4-0-8
Lecture: TR2.30-4 (2-190) Recitation: F10 (32-155) or F1 (56-154)
Examines reinforcement learning (RL) as a methodology for approximately solving sequential decision-making under uncertainty, with foundations in optimal control and machine learning. Provides a mathematical introduction to RL, including dynamic programming, statistical, and empirical perspectives, and special topics. Core topics include: dynamic programming, special structures, finite and infinite horizon Markov Decision Processes, value and policy iteration, Monte Carlo methods, temporal differences, Q-learning, stochastic approximation, and bandits. Also covers approximate dynamic programming, including value-based methods and policy space methods. Applications and examples drawn from diverse domains. Focus is mathematical, but is supplemented with computational exercises. An analysis prerequisite is suggested but not required; mathematical maturity is necessary.
M. Dahleh
No required or recommended textbooks
Engineering Analysis Methods
1.138[J] Wave Propagation
()
Not offered regularly; consult department
(Same subject as 2.062[J], 18.376[J])
Prereq: 2.003 and 18.075
Units: 3-0-9
Theoretical concepts and analysis of wave problems in science and engineering with examples chosen from elasticity, acoustics, geophysics, hydrodynamics, blood flow, nondestructive evaluation, and other applications. Progressive waves, group velocity and dispersion, energy density and transport. Reflection, refraction and transmission of plane waves by an interface. Mode conversion in elastic waves. Rayleigh waves. Waves due to a moving load. Scattering by a two-dimensional obstacle. Reciprocity theorems. Parabolic approximation. Waves on the sea surface. Capillary-gravity waves. Wave resistance. Radiation of surface waves. Internal waves in stratified fluids. Waves in rotating media. Waves in random media.
T. R. Akylas, R. R. Rosales
See also 1.351, 1.541, 1.56J, 1.63, 1.691.
Engineering Systems, Economics, and Optimization
1.142[J] Robust Modeling, Optimization, and Computation
()
(Same subject as 15.094[J])
Prereq: 18.06 or permission of instructor
Units: 4-0-8
Introduces modern robust optimization, including theory, applications, and computation. Presents formulations and their connection to probability, information and risk theory for conic optimization (linear, second-order, and semidefinite cones) and integer optimization. Application domains include analysis and optimization of stochastic networks, optimal mechanism design, network information theory, transportation, pattern classification, structural and engineering design, and financial engineering. Students formulate and solve a problem aligned with their interests in a final project.
Staff
1.144[J] Applied Category Theory for Engineering Design
(New)
()
(Same subject as 11.214[J], 16.880[J], EM.431[J], IDS.344[J])
(Subject meets with 1.044[J], 11.114[J])
Prereq: (Calculus II (GIR) and 18.06) or permission of instructor
Units: 4-0-8
Lecture: MW11-12.30 (1-150) Recitation: F1 (1-246)
Considers the multiple trade-offs at various abstraction levels and scales when designing complex, multi-component systems. Covers topics from foundational principles to advanced applications, emphasizing the role of compositional thinking in engineering. Introduces category theory as a mathematical framework for abstraction and composition, enabling a unified and modular approach to modeling, analyzing, and designing interconnected systems. Showcases successful applications in areas such as dynamical systems and automated system design optimization, with a focus on autonomous robotics and mobility. Offers students the opportunity to work on their own application through a dedicated project in the second half of the term. Students taking graduate version complete additional assignments.
G. Zardini
No textbook information available
1.146 System Design and Management for a Changing World: Combined
()
Engineering School-Wide Elective Subject.
(Offered under: 1.146, 16.861, EM.422, IDS.332)
Prereq: Permission of instructor
Units: 3-0-9
Credit cannot also be received for EM.423, IDS.333
Lecture: TR10.30-12 (1-390)
Practical-oriented subject that builds upon theory and methods and culminates in extended application. Covers methods to identify, value, and implement flexibility in design (real options). Topics include definition of uncertainties, simulation of performance for scenarios, screening models to identify desirable flexibility, decision analysis, and multidimensional economic evaluation. Students demonstrate proficiency through an extended application to a system design of their choice. Complements research or thesis projects. Class is "flipped" to maximize student engagement and learning. Meets with IDS.333 in the first half of term. Enrollment limited.
R. de Neufville
Textbooks (Fall 2025)
1.147 Startup Sustainable Tech
()
Not offered regularly; consult department
(Subject meets with 1.004)
Prereq: None
Units: 3-0-9
Provides a practical introduction to key innovations in the fields of civil and environmental engineering that are currently having an impact. Structured around the different aspects of starting and maintaining a company in the first years after incorporation. Key topics include idea protection, team formation, and seed funds. Guest speakers who are involved in the startup process or are successful entrepreneurs present. Under faculty supervision, students work on case studies in areas such as renewable energy, sustainable design, food security, climate change, new infrastructures, and transportation. Concludes with the writing of a SBIR/STTR-type grant or business model. Students taking graduate version complete additional assignments.
B. Marelli
See also 1.202J, 1.203J, 1.283J, 1.731. For management of engineering systems, see also 1.040, 1.401J-1.482.
|
