# Limited-Edition Courses Upper Division & Graduate Courses

## Sign up Now!

Limited-edition courses are not offered every semester. Don't miss this rare opportunity, sign up early!

## Spring 2015

#### 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.

#### Math 196V: Financial Mathematics

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.

#### Math 213A: Introduction to Smooth Manifolds

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.

#### Math 235: Wavelets and Their Applications

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!

#### Section 1: Algebraic Topology

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