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In this issue of the Mathematics Undergraduate Newsletter: - Math Department Employment Opportunities - Course Profiles: Upper Division Electives for Winter 2008 - Math Department Employment opportunities Want to make some money in your spare time? More so, are you interested in putting your Education to use? Every quarter The Mathematics Department hires students to work as both readers and tutors. In both cases, students complete an application and their coursework is reviewed prior to selection. The priority for hiring is as follows: Undergraduate math majors with excellent records, graduate students from other majors who have done well in the coursework, and then undergraduates from other majors who have excelled in the material. For applications and more information, come by the Mathematics Office at Baskin 194. You may also contact Judy Hobor at 459-2400, jahobor@ucsc.edu. READERS grade papers for a particular course. Their hours are somewhat flexible and the current pay is $11.90/hr. Solution sets or instructor manuals are often used, but a student needs to know the process of solution through direct experience with the coursework. Students interface with either the instructor and/or teaching assistant for the course to receive and return homework, solution sets, lists of scores, etc. TUTORS are hired to staff our drop-in tutoring rooms. One room provides support for Math 2 and 3, the other Math 11A and above. A tutor generally works a three-hour evening shift and the pay is currently $12.53/hr. Usually seniors are hired for these positions as they have taken the upper division courses that use the material they are tutoring and allows them a deeper understanding of the introductory courses. - Course Profiles: Upper Division Electives Winter 08 Looking for an Upper Division Math Elective to take this Winter Quarter? Here are some interesting options: Math 106B Partial Differential Equations Instructor: Maria Schonbek T/Th 2-3:45 Soc Sci II 159 Topics covered include first and second order linear partial differential equations, the heat equation, the wave equation, Laplace's equation, separation of variables, eigenvalue problems, Green's functions, Fourier series. Prerequisite(s): either courses 21 and 24 or Applied Mathematics and Statistics 27; and either course 100 or Computer Science 101; course 106A is recommended as preparation. Math 115 Graph Theory Instructor: Hirotaka Tamanoi T/Th 12-1:45 Soc Sci II 159 Graph theory, trees, vertex and edge colorings, Hamilton cycles, Eulerian circuits, decompositions into isomorphic subgraphs, extremal problems, cages, Ramsey theory, Cayley's spanning tree formula, planar graphs, Euler's formula, crossing numbers, thickness, splitting numbers, magic graphs, graceful trees, rotations, and genus of graphs. Prerequisite(s): course 21 or Applied Mathematics and Statistics 27 and either course 100 or Computer Science 101. Math 117 Advanced Linear Algebra Instructor: Bruce Cooperstein M/W/F 12:30-1:40 Merrill Academy 132 Review of abstract vector spaces. Dual spaces, bilinear forms, and the associated geometry. Normal forms of linear mappings. Introduction to tensor products and exterior algebra. Prerequisite(s): course 21 or Applied Mathematics and Statistics 27 and either course 100 or Computer Science 101. Math 118 Advanced Number Theory Instuctor: Geoff Mason M/W/F Soc Sci II 159 Topics include divisibility and congruences, arithmetical functions, quadratic residues and quadratic reciprocity, quadratic forms and representations of numbers as sums of squares, Diophantine approximation and transcendence theory, quadratic fields. Additional topics as time permits. Prerequisite(s): course 110 or 111A. Math 121A Differential Geometry Instructor: Debra Lewis M/W/F 11-12:10 Soc Sci II 159 Topics include Euclidean space, tangent vectors, directional derivatives, curves and differential forms in space, mappings. Curves, the Frenet formulas, covariant derivatives, frame fields, the structural equations. The classification of space curves up to rigid motions. Vector fields and differentiable forms on surfaces; the shape operator. Gaussian and mean curvature. The theorem Egregium; global classification of surfaces in three space by curvature. Prerequisite(s): courses 21 and 23B and either course 100 or Computer Science 101. Course 105A strongly recommended. Math 181 History of Mathematics Instructor: Richard Mitchell M/W/F 9:30-10:40 Soc Sci I 110 A survey from a historical point of view of various developments in mathematics. Specific topics and periods to vary yearly. Just a reminder for those of you signed up to take the Putnam Exam this year: The test will be held in Baskin 301A on Saturday December 1, from 8am-11am with a break from 11am-1pm, resuming again at 1pm and finishing up at 4pm. And, just to get you ready… - Sample Putnam Exam Question: P is a point inside a sphere. Three mutually perpendicular rays from P intersect the sphere at points U, V, and W. Q denotes the vertex diagonally opposite P in the parallelepiped determined by PU, PV, PW. Find the locus of Q for all possible sets of such rays from P. - Famous Non-Mathematicians Did you ever wonder who else shared your love of Mathematics? Check out this list of people throughout history that began their careers by studying Math! http://www.math.uh.edu/~tomforde/famous.html Hope you all had a wonderful holiday! Good luck on your upcoming finals! Andrea Gilovich, Undergraduate Advisor
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