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ucla math major

Random graphs. Requisites: courses 31A, 31B, 32A. Topics vary from year to year and may include dynamical processes on networks, mesoscale structures in networks, time-dependent networks, multilayer networks, applications of networks, data analysis in networks, spatial networks, and others. 1 : 8:00 AM - 8:50 AM MWF , FILIPAZZI, S. Sec. Individual study in regularly scheduled meetings with faculty mentor to finalize course syllabus. 2 : 11:00 AM - 11:50 AM MWF , NAM, K.S. 1 : 12:00 PM - 12:50 PM MWF , NURBEKYAN, L. Sec. Additional requirements for the Mathematics majors can be found at http://www.math.ucla.edu/. Preparation: advancement to PhD candidacy. Requisite: course 31A with grade of C- or better. 1 : 1:00 PM - 2:50 PM MW , DALLAS, H.J. P/NP or letter grading. Requisites: courses 31A, 31B. Advanced topics in analysis, such as Lebesgue integral, integration on manifolds, harmonic analysis. Seminar, three hours. Kinematic preliminaries, conservation laws for mass, momentum and energy, entropy production, constitutive laws. Sec. May be repeated four times, but only 1 unit may be applied toward graduation. You've signed in with a UCLA undergraduate student account. Two-dimensional potential flow, simple aerofoil. (Same as Computer Science M282B.) Fredholm operators. Observation, participation, or tutoring in mathematics classes at middle school and secondary levels. Primality testing and factorization methods. back to L&S major preparation listing Compact operators. S/U or letter grading. (Formerly numbered 192A.) Interesting and popular areas of network science. Requisite: course 31A with grade of C- or better. Topics include noninteractive zero-knowledge proofs; zero-knowledge arguments; concurrent and non-black-box zero-knowledge; IP=PSPACE proof, stronger notions of security for public-key encryption, including chosen-ciphertext security; secure multiparty computation; dealing with dynamic adversary; nonmalleability and composability of secure protocols; software protection; threshold cryptography; identity-based cryptography; private information retrieval; protection against man-in-middle attacks; voting protocols; identification protocols; digital cash schemes; lower bounds on use of cryptographic primitives, software obfuscation. Designed for PhD students. P/NP grading. Introduction to advanced topics as time permits. Lecture, three hours; discussion, two hours. Lecture, three hours. Emphasis on programming environment details, both software and hardware. Not open for credit to students with credit for former Electrical Engineering 136. Continued fractions, inequalities, modular arithmetic, closed form evaluation of sums and products, problems in geometry, rational functions and polynomials, other nonroutine problems. Lecture, three hours. Basic electromagnetism. 2 : 5:00 PM - 6:15 PM TR , BLASIUS, D.M. 3 : 12:00 PM - 12:50 PM MWF , LEE, G. Sec. Honors course parallel to course 131B. Problem-solving techniques and mathematical topics useful as preparation for Putnam Examination and similar competitions. May be repeated for maximum of 4 units. Requisite: course 115A. S/U or letter grading. P/NP or letter grading. Requisite: course 142. 1 : 9:00 AM - 9:50 AM MWF , MORENO, A.J. Letter grading. Sec. Lecture, three hours; discussion, one hour. Reading, discussion, and development of culminating project. I enroll in at UCLA? S/U or letter grading. S/U or letter grading. Students are expected to prepare a significant independent piece of work that applies knowledge gained in their coursework in a new and unique way. S/U or letter grading. Seminar, one hour. Requisites: courses 32B, 33B. Sec. May be repeated for credit, but only two 596 courses (8 units) may be applied toward MA degree unless departmental consent is obtained. Requisites: courses 31A, 31B. 2 : 9:00 AM - 9:50 AM MWF , THE STAFF. Attacks on cryptosystems. Exploration of topics in greater depth through supplemental readings, papers, or other activities and led by lecture course instructor. Requisites: courses 31A, 31B, 32A, 32B, 33A, one statistics course from Statistics 10, 12, 13, one programming course from Computer Science 31, Program in Computing 10A, Statistics 20. Lecture, three hours; discussion, one hour. Lecture, three hours. Chemistry and Biochemistry 14A and 14B (or 20A and 20B) may also be required, depending on atmospheric and oceanic sciences upper division course selection. Individual study with lecture course instructor to explore topics in greater depth through supplemental readings, papers, or other activities. S/U or letter grading. Induced representations, Frobenius reciprocity. P/NP (undergraduates) or S/U (graduates) grading. Preparation: programming experience in at least one programming language. Honors course parallel to course 115A. Not open to students with credit for course 170A, Electrical and Computer Engineering 131A, or Statistics 100A. Intended for students who still need to review precalculus material (laboratory) while starting calculus. Requisite: course 115A. Requisite: course 225A. Rigorous treatment of fundamental results of pure and applied linear algebra over fields. Seminar, one hour. Riemannian manifolds; completeness, submanifolds, constant curvature. Effectively calculable, Turing computable, and recursive functions; Church/Turing thesis.

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