Computer Science graduate students often encounter research literature that freely uses "continuous" mathematics not covered in their undergraduate coursework. This course builds literacy in these topics in a compressed timeline, including:
- Second-course linear algebra and probability
- Fundamentals of real analysis and point-set topology
- High- and infinite-dimensional vector spaces
- Manifolds and matrix Lie groups
Proof-based exercises and exams will emphasize understanding of core concepts rather than testing the limits of students' mathematical ingenuity.
Prerequisites: Calculus, linear algebra, probability, and comfort with writing rigorous proofs. Once the quarter starts, instructor approval is required to maintain enrollment in the course, including if students do not have the listed pre-requisite courses completed.