Limited-Edition Courses Upper Division & Graduate Courses
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Math 138: Complex Variables
MW 12:00pm - 1:15pm
Analytic functions, complex integration, residues and power series.
Prerequisite: Math 32 or instructor consent.
Math 179: Introduction to Graph Theory
Professor So; MW 9:00am - 10:15am
Hamiltonian end Eulerian properties, matching, trees, connectivity, coloring problems and planarity. Emphasis on algorithms and applications, including optimal network flows.
Prerequisite: Math 42 and Math 129A or instructor consent.
Professor Ng; TTh 9:00am - 10:15am
Fundamental concepts of financial mathematics; measurement of interest; time value of money; present and future values of cash flows; applications to annuities, loans, sinking funds, bonds, and portfolios; duration and immunization.
Prerequisite: Math 161A, ISE 130, or instructor consent.
Professor Simic; MW 12:00pm - 1:15pm
Smooth manifolds and maps. Tangent bundle. Sard's theorem, transversality, Whitney embedding theorem. Vector fields and flows on manifolds, Lie derivative, Lie groups and Lie algebras. Frobenius theorem, differential forms, Stokes' theorem. Basic Morse theory. Additional topics chosen by the instructor.
Prerequisite: Math 113 or Math 175 or Math 132, or instructor consent.
Professor Dodd; TTh 3:00pm - 4:15pm
Wavelets with particular emphasis on their use in the representation of digital signals and image analysis. Theory of filters, filter banks and wavelets with applications selected from image and video compression, speech, audio and ECG compression, and communication applications.
Prerequisite: Math 129A and Math 133A, or instructor consent.
Math 271A: Mathematical Logic
Professor Stanley; TTh 4:30pm - 5:45pm
Formal systams; introductory model theory (Godel's completeness theorem, compactness, Lowenhein-Skolem theorem, etc.); Godel's incompleteness theorems.
Prerequisite: Math 171 or instructor consent.
Math 285: Advanced Topics in Mathematics
The Advanced Topics in Mathematics courses vary every semester and tend to not repeat. Thus, sign up for the course now before it is too late!
Professor Kubelka; MW 4:30pm - 5:45pm
The fundamental group of a topological space and its properties and application. Covering spaces, including those induced by group action. The Brouwer Fixed-Point Theorem, the Hairy Ball Theorem (and the Punk Hairy Ball Theorem), the Ham-Sandwich Theorem, the Classification of Surfaces, etc.
Prerequisites: Math 175/Math 275 or an equivalent undergraduate topology course and Math 128A or an equivalent undergraduate course in abstract algebra, or instructor consent
Section 2: TBA
Professor Gottlieb; MW 1:30pm - 2:45pm