Free
Formula sheets & cheat sheets from MIT courses
48 free formula sheets, equation sheets and cheat sheets across 24 MIT courses, grouped by subject. Every sheet links straight to MIT's own PDF.
Aquatic chemistry formula sheets
Aquatic Chemistry (MIT 1.76, Fall 2005)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
General chemistry formula sheets
Principles of Chemical Science (MIT 5.111, Fall 2008)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Principles of Chemical Science (MIT 5.111SC, Fall 2014)
- Exam 1 Equation Sheet: Periodic Table & Constants
- 5.111 F14 Exam 2 Equation Sheet
- 5.111 F14 Exam 3 Equation Sheet
- Exam 4 Equation Sheet: Electrochemistry Constants (Faraday's Constant)
- Final Exam Equation Sheet: Gas & Physical Constants
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Accounting formula sheets
Introduction to Financial and Managerial Accounting (MIT 15.501, Spring 2004)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Programming formula sheets
Computational Science and Engineering I (MIT 18.085, Fall 2008)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Calculus/Numerical methods formula sheets
Numerical Computation for Mechanical Engineers (MIT 2.086, Spring 2013)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Numerical Fluid Mechanics (MIT 2.29, Spring 2015)
- Numerical Methods Equation Sheet: Root-Finding & Linear Systems (Quiz 1)
- Numerical Methods & Navier-Stokes Equation Sheet: Discretization Schemes (Quiz 2)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Differential equations formula sheets
Differential Equations (MIT ES.1803, Spring 2024)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Classical mechanics formula sheets
Physics I: Classical Mechanics (MIT 8.01L, Fall 2005)
- Summary of Equations: Kinematics & Relative Velocity (Exam 1)
- Summary of Equations: Newton's Laws, Work & Potential Energy (Exam 2)
- Summary of Equations: Momentum, Gravitation & Simple Harmonic Motion (Exam 3)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Fluid mechanics formula sheets
Fluid Dynamics (MIT 2.06, Spring 2013)
- 2.06 Fluid Dynamics, Quiz 1, Equation Sheet for Quiz 1
- Fluid Dynamics Equation Sheet: Mass & Momentum Conservation, Bernoulli Equation (Quiz 2)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Advanced Fluid Mechanics (MIT 2.25, Fall 2013)
- Boundary Layer & Lubrication-Approximation Equation Sheet (Final Exam)
- Fluid Mechanics Equation Sheet: Stream Functions & Vorticity
- Inviscid Flow Equation Sheet: Control-Volume Momentum & Bernoulli Equation
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Numerical Fluid Mechanics (MIT 2.29, Spring 2015)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Heat transfer formula sheets
Introduction to Heat Transfer (MIT 2.051, Fall 2015)
- Heat Transfer Equation Sheet: Conduction, Convection & Radiation (Quiz 1)
- Heat Transfer Equation Sheet: Steady Heat Transfer (Quiz 2)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Waves and oscillations formula sheets
Physics III: Vibrations and Waves (MIT 8.03SC, Fall 2016)
- MIT 8.03SC Fall 2016 Exam 1 Formula Sheet
- MIT 8.03SC Fall 2016 Exam 2 Formula Sheet
- MIT 8.03SC Fall 2016 Final Exam Formula Sheet
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Electromagnetism formula sheets
Electromagnetics and Applications (MIT 6.013, Fall 2005)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Electromagnetic Fields, Forces, and Motion (MIT 6.641, Spring 2005)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Electromagnetic Fields, Forces, and Motion (MIT 6.641, Spring 2009)
- Formula Sheet
- Formula Sheet #1: Differential Operators & Field Equations
- Formula Sheet: Differential Operators (Cylindrical & Spherical Coordinates)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Physics II: Electricity and Magnetism (MIT 8.022, Fall 2004)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Electromagnetism II (MIT 8.07, Fall 2012)
- Electromagnetism II, Final Formula Sheet
- Electromagnetism II, Formula Sheet 1
- Electromagnetism II, Formula Sheet 2
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Electronics formula sheets
Microelectronic Devices and Circuits (MIT 6.012, Fall 2009)
- Formula Sheet for Exam One: Semiconductor Parameter Values (Fall 2009)
- Formula Sheet for Exam Two: Semiconductor Device Equations
- Formula Sheet for the Final Exam: Semiconductor Device Equations
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Solid-State Circuits (MIT 6.301, Fall 2010)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Quantum mechanics formula sheets
Applied Quantum and Statistical Physics (MIT 6.728, Fall 2006)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Quantum Physics I (MIT 8.04, Spring 2013)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Quantum Physics II (MIT 8.05, Fall 2013)
- Final Exam Formula Sheet: Bras/Kets & Linear Algebra
- Test Formula Sheet: Conservation of Probability & Spin-1/2 Systems
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT
Relativity formula sheets
Relativity (MIT 8.033, Fall 2006)
License: https://creativecommons.org/licenses/by-nc-sa/4.0/ · MIT