Applied Category Theory for Engineering Design
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.
Fall 2010 · Fundamentals of Energy in Buildings
Topics
- Introduction, energy
- Energy, work
- Conservation of energy, heat
- Energy conservation
- Water: liquid and vapor
- Water, refrigerants, gases
- Steady state flow
- Heating and cooling systems
- Natural ventilation
- Transients, moist air mixtures
- Psychrometrics
- Applications
- Heat transfer introduction
- Conductive heat transfer, moisture transfer in walls
- Composite walls
- Convection
- Introduction to design project 2: radiation
- Human comfort
- Solar radiation, windows
- Introduction to the second law
- Entropy, cogeneration systems
- Heat pumps, refrigeration cycles
- Tour: Building 68, Koch Biology Building ; and Building N51, MIT Museum and the Digital Design Fabrication Group
Readings
- Levenspiel, Octave. Understanding Engineering Thermo . Upper Saddle River, NJ: Prentice Hall, 1996. ISBN: 9780135312032.
- McQuiston, Faye, Jerald Parker, and Jeffrey Spitler. Heating, Ventilating, and Air Conditioning Analysis and Design . 6th ed. New York, NY: Wiley, 2004. ISBN: 9780471470151.
- Kreider, Jan, and Ari Rabl. Heating and Cooling of Buildings: Design for Efficiency . New York, NY: McGraw-Hill, 1994. ISBN: 9780078347764.
- Moran, Michael, and Howard Shapiro. Fundamentals of Engineering Thermodynamics . 6th ed. New York, NY: Wiley, 2007. ISBN: 9780471787358.
- Incropera, Frank, David DeWitt, Theodore Bergman, and Adrienne Lavine. Introduction to Heat Transfer . 5th ed. New York, NY: Wiley, 2006. ISBN: 9780471457275.
- All chapters in the following table are from the Levenspiel textbook. The notes for Lec #11-22 are not available on MIT OpenCourseWare, except for Lec #15 and 16.
- LEC #: 1 · TOPICS: Introduction, energy · READINGS: Chapter 1, 2A, and 10
- LEC #: 2 · TOPICS: Energy, work · READINGS: Chapter 3A and 4A
- LEC #: 3 · TOPICS: Conservation of energy, heat · READINGS: Chapter 3B and 4B
- LEC #: 4 · TOPICS: Energy conservation · READINGS: Chapter 5A, 6A, and 7
- LEC #: 5 · TOPICS: Water liquid and vapor · READINGS: Chapter 8 and 12B
- LEC #: 6 · TOPICS: Water, refrigerants, gases · READINGS: Chapter 12B-D, 2C, and 11
- LEC #: 7 · TOPICS: Steady state flow · READINGS: Chapter 13
- LEC #: 10 · TOPICS: Transients, moist air mixtures · READINGS: Chapter 14 and 2A
- LEC #: 11 · TOPICS: Psychrometrics · READINGS: Notes
- LEC #: 14 · TOPICS: Applications · READINGS: Notes
- LEC #: 17 · TOPICS: Composite walls · READINGS: Notes
- LEC #: 20 · TOPICS: Human comfort · READINGS: Notes
- LEC #: 22 · TOPICS: Solar radiation, windows · READINGS: Notes
- LEC #: 23 · TOPICS: Introduction to the second law · READINGS: Chapter 15
- LEC #: 24 · TOPICS: Entropy, cogeneration systems · READINGS: Chapter 18A, C-E, and 20A-C
- LEC #: 25 · TOPICS: Heat pumps, refrigeration cycles · READINGS: Chapter 16, 17A, and 20D
Prerequisites & course information
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 U (Fall) 4-0-8 units
Sources
- Course catalogue ↗2026–2027
- MIT OpenCourseWare ↗Fall 2010
- MIT OCW calendar ↗
- MIT OCW readings ↗
- MIT OCW syllabus ↗
- Historical MIT OpenCourseWare offering. Named reading entries and schedule topics are automatically extracted from the linked source pages.