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KEVIN CHEN List of Relevant Courses Course descriptions are taken from the university general catalog. PHYSICS 105 – Analytic Mechanics Newtonian mechanics, motion of a particle in one, two, and three dimensions, Lagrange's equations, Hamilton's equations, central force motion, moving coordinate systems, mechanics of continuous media, oscillations, normal modes, rigid body dynamics, tensor analysis techniques. - Taylor, Classical Mechanics 110A – Electromagnetism and Optics A course emphasizing electromagnetic theory and applications; charges and currents; electric and magnetic fields; dielectric, conducting, and magnetic media; relativity, Maxwell equations. Wave propagation in media, radiation and scattering, Fourier optics, interference and diffraction, ray optics and applications. - Griffiths, Introduction to Electrodynamics 111 – Advanced Electrical Laboratory The first semester on Basic Semiconductor Circuits covers introductory analog and digital circuits. - Horowitz & Hill, The Art of Electronics 137A and 137B – Quantum Mechanics Introduction to the methods of quantum mechanics with applications to atomic, molecular, solid state, nuclear and elementary particle physics. - Griffiths, Introduction to Quantum Mechanics MATHEMATICS 104 – Introduction to Analysis The real number system. Sequences, limits, and continuous functions in R and R. The concept of a metric space. Uniform convergence, interchange of limit operations. Infinite series. Mean value theorem and applications. The Riemann integral. - Ross, Elementary Analysis 110 – Linear Algebra Matrices, vector spaces, linear transformations, inner products, determinants. Eigenvectors. QR factorization. Quadratic forms and Rayleigh's principle. Jordan canonical form, applications. Linear functionals. - Axler, Linear Algebra Done Right
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KEVIN CHEN
List of Relevant Courses
Course descriptions are taken from the university general catalog.
PHYSICS
105 – Analytic MechanicsNewtonian mechanics, motion of a particle in one, two, and three dimensions, Lagrange's equations, Hamilton's equations, central force motion, moving coordinate systems, mechanics of continuous media, oscillations, normal modes, rigid body dynamics, tensor analysis techniques.- Taylor, Classical Mechanics
110A – Electromagnetism and OpticsA course emphasizing electromagnetic theory and applications; charges and currents; electric and magnetic fields; dielectric, conducting, and magnetic media; relativity, Maxwell equations. Wave propagation in media, radiation and scattering, Fourier optics, interference and diffraction, ray optics and applications.- Griffiths, Introduction to Electrodynamics
111 – Advanced Electrical LaboratoryThe first semester on Basic Semiconductor Circuits covers introductory analog and digital circuits.- Horowitz & Hill, The Art of Electronics
137A and 137B – Quantum MechanicsIntroduction to the methods of quantum mechanics with applications to atomic, molecular, solid state,nuclear and elementary particle physics.- Griffiths, Introduction to Quantum Mechanics
MATHEMATICS
104 – Introduction to AnalysisThe real number system. Sequences, limits, and continuous functions in R and R. The concept of a metric space. Uniform convergence, interchange of limit operations. Infinite series. Mean value theorem and applications. The Riemann integral.- Ross, Elementary Analysis
110 – Linear AlgebraMatrices, vector spaces, linear transformations, inner products, determinants. Eigenvectors. QR factorization. Quadratic forms and Rayleigh's principle. Jordan canonical form, applications. Linear functionals.- Axler, Linear Algebra Done Right
113 – Abstract AlgebraSets and relations. The integers, congruences, and the Fundamental Theorem of Arithmetic. Groups and their factor groups. Commutative rings, ideals, and quotient fields. The theory of polynomials: Euclidean algorithm and unique factorizations. The Fundamental Theorem of Algebra. Fields and field extensions.- Dummit & Foote, Abstract Algebra
185 – Complex AnalysisAnalytic functions of a complex variable. Cauchy's integral theorem, power series, Laurent series, singularities of analytic functions, the residue theorem with application to definite integrals. Some additional topics such as conformal mapping.- Brown & Churchill, Complex Variables and Applications
COMPUTER SCIENCE
61AS – The Structure and Interpretation of Computer Programs (Self-Paced)Introductory programming and computer science. Abstraction as means to control program complexity. Programming paradigms: functional, object-oriented, client/server, and declarative (logic). Control abstraction: recursion and higher order functions. Introduction to asymptotic analysis of algorithms. Data abstraction: abstract data types, type-tagged data, first class data types, sequences implemented as lists and as arrays, generic operators implemented with data-directed programming and with message passing. Implementation of object-oriented programming with closures over dispatch procedures. Introduction to interpreters and compilers. There are several significant programming projects. Taught in Scheme.
61B – Data StructuresFundamental dynamic data structures, including linear lists, queues, trees, and other linked structures;arrays strings, and hash tables. Storage management. Elementary principles of software engineering. Abstract data types. Algorithms for sorting and searching. Introduction to the Java programming language.
