ROB 501
Mathematics for Robotics
Advisory Prerequisite: Differential equations and matrix algebra recommended. Enforced Prerequisite: Graduate standing. (4 credits) Applied mathematics for robotics engineers. Topics include vector spaces, orthogonal bases, projection theorem, least squares, matrix factorizations, Kalman filter and extensions, particle filters, underlying probabilistic concepts, norms, convergent sequences, contraction mappings, Newton Raphson algorithm, nonlinear constrained optimization, local vs global convergence, convexity, linear and quadratic programs, and randomized search strategies.
Topics
- vector spaces
- orthogonal bases
- projection theorem
- least squares
- matrix factorizations
- Kalman filter and extensions
- particle filters
- underlying probabilistic concepts
- norms
- convergent sequences
- contraction mappings
- Newton Raphson algorithm
- nonlinear constrained optimization
- local vs global convergence
- convexity
- linear and quadratic programs
- and randomized search strategies
Topics explicitly listed in official catalogue description
Sources
- Course catalogue ↗2026-2027