All readings are from the textbook: Masayuki Yano, James Douglass Penn, George Konidaris, and Anthony T. Patera. Math, Numerics, and Programming (for Mechanical Engineers). V1.2, September 2012. Files for each available unit are provided in the following table, courtesy of the authors.
Students should read all of the assignments for the unit before proceeding to the associated MATLAB® Exercises and the Problem Sets. In general, students should skip the advanced material in the text, indicated either by blue shading or by blue “Advanced Material” bookends.
| UNITS | READING ASSIGNMENTS | SUPPORTING VIDEOS |
|---|---|---|
| Unit I. (Numerical) Calculus; Elementary Programming Concepts (PDF - 2.4MB) |
Math and Numerics:
MATLAB:
|
The Macro-Me-Robot^1
Video of a 2.086 robot performing IR range finding and odometry. (Courtesy of James Penn. Used with permission.) |
| Unit II. Monte Carlo Methods (PDF - 2.1MB) |
Math and Numerics:
MATLAB:
|
|
| Unit III. Linear Algebra 1: Matrices and Least Squares; Regression (PDF - 2.3MB) |
Math and Numerics:
MATLAB:
|
The Macro-Me-Robot: Friction Test Video of a 2.086 robot attempting to push a load on two different surfaces. (Courtesy of James Penn. Used with permission.) |
| Unit IV. (Numerical) Differential Equations (PDF - 1.2MB) |
Math and Numerics:
MATLAB:
|
Video of a 2.086 robot driving over a small bump at three different velocities. (Courtesy of James Penn. Used with permission.) |
| Unit V. (Numerical) Linear Algebra 2: Solution of Linear Systems (PDF - 12.7MB) |
Math and Numerics:
MATLAB:
|
|
| Unit VI. Linear Algebra 3: Eigenvalue Problems—NOT AVAILABLE | ||
| Unit VII. Nonlinear Equations (PDF) |
Math and Numerics, and MATLAB
|
Video of a 2.086 robot arm tracking a specified trajectory. (Courtesy of James Penn. Used with permission.) |
| V1.2 Errata (PDF) |
