printer friendly pageMATH 51M: Introduction to MATLAB for Multivariable Mathematics
Corequisite:
MATH 51.
Terms: Aut
| Units: 1
Instructors:
Diao, P. (PI)
MATH 52: Integral Calculus of Several Variables
Iterated integrals, line and surface integrals, vector analysis with applications to vector potentials and conservative vector fields, physical interpretations. Divergence theorem and the theorems of Green, Gauss, and Stokes. Prerequisite: 51 and 42 or equivalents.
Terms: Aut, Win, Spr
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Hasson, H. (PI)
;
Lin, Y. (PI)
;
Wieczorek, W. (PI)
;
Chodosh, O. (TA)
;
Zamorzaev, A. (TA)
MATH 52H: Honors Multivariable Mathematics
Continuation of 51H. Prerequisite: 51H.
Terms: Win
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Eliashberg, Y. (PI)
;
Brady, Z. (TA)
MATH 53: Ordinary Differential Equations with Linear Algebra
Ordinary differential equations and initial value problems, systems of linear differential equations with constant coefficients, applications of second-order equations to oscillations, matrix exponentials, Laplace transforms, stability of non-linear systems and phase plane analysis, numerical methods. Prerequisite: 51 and 42 or equivalents.
Terms: Aut, Win, Spr, Sum
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Brendle, S. (PI)
;
Jafari, A. (PI)
;
Kerckhoff, S. (PI)
...
more instructors for MATH 53 »
Instructors:
Brendle, S. (PI)
;
Jafari, A. (PI)
;
Kerckhoff, S. (PI)
;
Lin, Y. (PI)
;
Menz, G. (PI)
;
Pan, D. (PI)
;
Yang, H. (PI)
;
Ahuja, S. (TA)
;
Edelen, N. (TA)
;
Furmaniak, R. (TA)
;
Henderson, C. (TA)
;
Lazarev, O. (TA)
;
Malkiewich, C. (TA)
;
Nariman, S. (TA)
;
Pan, D. (TA)
;
Warner, E. (TA)
;
Yang, H. (TA)
MATH 53H: Honors Multivariable Mathematics
Continuation of 52H. Prerequisite: 52H.
Terms: Spr
| Units: 5
| UG Reqs: WAY-FR, GER:DB-Math
Instructors:
Eliashberg, Y. (PI)
;
Carlotto, A. (TA)
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.
Terms: Spr
| Units: 3
| UG Reqs: WAY-SMA, WAY-FR
Instructors:
Finn, R. (PI)
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.
Terms: Win
| Units: 3
| UG Reqs: WAY-FR
Instructors:
Wieczorek, W. (PI)
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: Win, Spr, 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: Spr
| Units: 3
| UG Reqs: GER:DB-Math
Instructors:
Yang, T. (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 equivalent.
Terms: Spr
| Units: 3
| UG Reqs: GER:DB-Math
Instructors:
Hicks, A. (PI)
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