Symmetry is everywhere. In the grand scheme of things it is the blueprint by which the universe operates. We see symmetry in nature, art, architecture, science and engineering. This course explores the Beauty, Form and Function of Symmetry in common objects, then progresses to investigate tiling and tessellation, with the extension of these concepts to the atomic structure of … [Read more...] about Beauty, Form & Function: An Exploration of Symmetry
Physical Science and Engineering
Numerical Methods for Engineers
This course covers the most important numerical methods that an engineer should know. We derive basic algorithms in root finding, matrix algebra, integration and interpolation, ordinary and partial differential equations. We learn how to use MATLAB to solve numerical problems. Access to MATLAB online and the MATLAB grader is given to all students who enroll. We assume students … [Read more...] about Numerical Methods for Engineers
Modern Robotics, Course 3: Robot Dynamics
Do you want to know how robots work? Are you interested in robotics as a career? Are you willing to invest the effort to learn fundamental mathematical modeling techniques that are used in all subfields of robotics? If so, then the "Modern Robotics: Mechanics, Planning, and Control" specialization may be for you. This specialization, consisting of six short courses, is serious … [Read more...] about Modern Robotics, Course 3: Robot Dynamics
Design of High-Performance Optical Systems
This course can also be taken for academic credit as ECEA 5602, part of CU Boulder’s Master of Science in Electrical Engineering degree. Optical instruments are how we see the world, from corrective eyewear to medical endoscopes to cell phone cameras to orbiting telescopes. This course extends what you have learned about first-order, paraxial system design and optical … [Read more...] about Design of High-Performance Optical Systems
Uncertainty and Research
This course teaches the fundamentals of scientific research. We approach the research process as a means of systematically reducing uncertainty and demonstrate how conducting a scientific investigation can be posed as an exercise in Bayesian uncertainty quantification. We begin by exploring the scientific landscape to understand the different types of research, where they are … [Read more...] about Uncertainty and Research
