Humans had to carry out all their machining processes by hand for centuries. Even precision tools had to be maneuvered very carefully, inch by inch, by people holding the devices personally. That all ...

Optical systems employ a rich array of physical effects which are described by well-understood equations. However, for all but the simplest devices these equations are typically too complex to permit ...

Numerical techniques are computational methods for approximating solutions to mathematical problems that lack closed-form expressions or are analytically intractable. They encompass algorithms for ...

Homogenisation is a technique that effectively treats het­erogeneous composite materials at the microscale as homogeneous (or pseudohomogeneous) at the macros­cale, enabling effective analysis of the ...

Partial differential equations (PDE) describe the behavior of fluids, structures, heat transfer, wave propagation, and other physical phenomena of scientific and engineering interest. This course ...