printer friendly pageMATH 52V: Multivariable Integral Calculus
Integral calculus for functions of two or more variables. Topics: double and triple integrals, change of variables and the Jacobian, vector fields, line integrals, independence of path and the fundamental theorem of line integrals, Green's theorem, divergence theorem, Stokes's theorem. Prerequisites: one quarter of multivariable differential calculus (comparable to 50V or 51), or consent of instructor.
Terms: Sum
| Units: 5
| UG Reqs: GER:DB-Math
Instructors:
Sanders, M. (PI)
MATH 53: Ordinary Differential Equations with Linear Algebra
Linear ordinary differential equations, applications to oscillations, matrix methods including determinants, eigenvalues and eigenvectors, matrix exponentials, systems of linear differential equations with constant coefficients, stability of non-linear systems and phase plane analysis, numerical methods, Laplace transforms. Integrated with topics from linear algebra (103). Prerequisite: 51.
Terms: Aut, Win, Spr, Sum
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 53H: Honors Multivariable Mathematics
Continuation of 52H. Prerequisite: 52H.
Terms: Spr
| Units: 5
| UG Reqs: WAY-FR, GER:DB-Math
Instructors:
Cohen, R. (PI)
;
Koytcheff, R. (PI)
MATH 70SI: The Game of Go: Strategy, Theory, and History
Strategy and mathematical theories of the game of Go, with guest appearance by a professional Go player.
Terms: Spr
| Units: 1
Instructors:
Bump, D. (PI)
MATH 78SI: Speedcubing: HIstory, Theory, and Practice
History of the Rubik's cube; the current cubing community; basic mathematical theory; concepts to improve speed solving skill. Prior ability to solve cube not required.
Terms: Aut
| Units: 1
Instructors:
Bump, D. (PI)
MATH 80Q: Capillary Surfaces: Explored and Unexplored Territory
Preference to sophomores. Capillary surfaces: the interfaces between fluids that are adjacent to each other and do not mix. Recently discovered phenomena, predicted mathematically and subsequently confirmed by experiments, some done in space shuttles. Interested students may participate in ongoing investigations with affinity between mathematics and physics.
Last offered: Winter 2009
| UG Reqs: WAY-FR, WAY-SMA
MATH 87Q: Mathematics of Knots, Braids, Links, and Tangles
Preference to sophomores. Types of knots and how knots can be distinguished from one another by means of numerical or polynomial invariants. The geometry and algebra of braids, including their relationships to knots. Topology of surfaces. Brief summary of applications to biology, chemistry, and physics.
Last offered: Spring 2009
| UG Reqs: WAY-FR
MATH 104: Applied Matrix Theory
Linear algebra for applications in science and engineering: orthogonality, projections, the four fundamental subspaces of a matrix, spectral theory for symmetric matrices, the singular value decomposition, the QR decomposition, least-squares, the condition number of a matrix, algorithms for solving linear systems. Prerequisites:
MATH 51 and
MATH 52 or 53.
Terms: Aut, Win, Sum
| Units: 3
| UG Reqs: GER:DB-Math
MATH 106: Functions of a Complex Variable
Complex numbers, analytic functions, Cauchy-Riemann equations, complex integration, Cauchy integral formula, residues, elementary conformal mappings. Prerequisite: 52.
Terms: Aut, Sum
| Units: 3
| UG Reqs: GER:DB-Math
Instructors:
Brumfiel, G. (PI)
;
Nedelec, L. (PI)
MATH 108: Introduction to Combinatorics and Its Applications
Topics: graphs, trees (Cayley's Theorem, application to phylogony), eigenvalues, basic enumeration (permutations, Stirling and Bell numbers), recurrences, generating functions, basic asymptotics. Prerequisites: 51 or 103 or equivalent.
Terms: Aut
| Units: 3
| UG Reqs: GER:DB-Math
Instructors:
Diaconis, P. (PI)
Filter Results: