Course Websites

Subject offerings of new and developing areas of knowledge in aerospace engineering intended to augment the existing curriculum. See Class Schedule or department course information for topics and prerequisite. Course Information: 1 to 4 undergraduate hours. 1 to 4 graduate hours. May be repeated in the same or separate terms if topics vary to a maximum of 9 undergraduate hours or 12 graduate hours.

Topic: Accelerated introduction to mathematical topics relevant for graduate-level studies across engineering. Rigorous overview of linear algebra: vector spaces, linear maps, norm, inner product, Banach and Hilbert spaces, basis, Jordan form, SVD decomposition. Simple optimization and regression: linear programming, linear least squares. Fundamentals of real analysis: continuity, differentiation, convergence of series, Taylor and Fourier series, multivariate derivatives, connection to differential equations. 4 credit hours for graduate students. Restricted to online non-degree, online, MSAE, online MSME, online MSCEE and online MCS students. For more details on this course section, please see http://engineering.illinois.edu/online/courses/. Non-Degree students may enroll on a space-available basis with consent of the Graduate Program Coordinator (ae-grad@illinois.edu).