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Course Criteria
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1.25 Credits
This course will apply efficient numerical methods to the solutions of problems in the physical sciences which are otherwise intractable. Examples will be drawn from classical mechanics, quantum mechanics, statistical mechanics, and electrodynamics. Students will apply a high-level programming language, such as Mathematica, to the solution of physical problems and develop appropriate error and stability estimates. Prerequisite(s): courses 101B, 105, 116A-B-C, or equivalent. Basic programming experience in C or Fortran. No previous experience with Mathematica is required. A. Young
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1.25 Credits
Infinite series include power series, asymptotic expansions, special functions defined by an integral, complex numbers and some functions of a complex variable, topics in linear algebra including matrices and determinants, solving systems of linear equations, eigenvalue problems and matrix diagonalization, introduction to tensors. Prerequisite(s): courses 5A/L, 5B/M, 5C/N; Mathematics 23A, 23B. S. Profumo
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1.25 Credits
Probability and statistics, including discrete and continuous random variables; mean and standard deviation; Gaussian, binomial and Poisson distributions; least squares fits and estimation of error bars; ordinary differential equations; series solution of differential equations including Legendre polynomials and Bessel functions; orthogonal polynomials and Sturm-Liouville problems; Fourier series. Prerequisite(s): courses 5A/L, 5B/M, 5C/N, 116A; and Mathematics 23A and 23B. O. Narayan
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1.25 Credits
Calculus of variations, including Euler equations and Lagrange's equations of motion in classical mechanics; partial differential equations and boundary value problems by separation of variables; functions of a complex variable including the residue thereom and a brief discussion of conformal mapping; Fourier transforms including applications to partial differential equations; the Dirac delta function and a discussion of Green's functions; Laplace transforms. Prerequisite(s): courses 5A/L, 5B/M, 5C/N, 116A-B, Mathematics 23A and 23B. A. Young
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1.25 Credits
Statistical properties polymers; scaling behavior, fractal dimensions; random walks, self avoidance; single chains and concentrated solutions; dynamics and topological effects in melts; polymer networks; sol-gel transitions; polymer blends; application to biological systems; computer simulations will demonstrate much of the above. Students cannot receive credit for this course and course 240. Prerequisite(s): courses 112, 116A-B-C. Offered in alternate academic years. J. Deutsch
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1.25 Credits
Properties and classification of the elementary particles, their weak and strong interactions, nuclear physics, high energy phenomena analyzed by quantum mechanical methods, experimental methodology. Prerequisite(s): courses 116A-B-C and 139A; students with equivalent course work may contact instructor for permission to enroll. Offered in alternate academic years. D. Williams
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1.25 Credits
Demonstration of phenomena of classical and modern physics. Development of a familiarity with experimental methods. Special experimental projects may be undertaken by students in this laboratory. Prerequisite(s): course 101A. (W) D. Belanger, ( S) D. Smith
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1.25 Credits
Individual experimental investigations of basic phenomena in atomic, nuclear, and solid state physics. Prerequisite(s): courses 133 and 101B. May be repeated for credit. (W) G. Gweon
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1.25 Credits
Introduction to the techniques of modern observational astrophysics at optical and radio wavelengths through hands-on experiments. Offered in some academic years as a multiple-term course: 135A in fall and 135B in winter, depending on astronomical conditions. (Also offered as Astronomy and Astrophysics 135. Students cannot receive credit for both courses.) Prerequisite(s): course 133 and at least one astronomy course. Intended primarily for juniors and seniors majoring or minoring in astrophysics. R. Dewey
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3.00 Credits
Introduction to techniques of modern observational astrophysics at optical and radio wavelengths through hands-on experiments. Intended primarily for juniors and seniors majoring or minoring in astrophysics. Offered in some academic years as single-term course 135 in fall, depending on astronomical conditions. (Also offered as Astronomy and Astrophysics 135A. Students cannot receive credit for both courses.) Prerequisite(s): course 133 and at least one astronomy course. R. Dewey
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