MULTV. CALC. FOR ENGI & APP SCI
Differential and integral calculus of multiple variables. Topics include partial differentiation; optimization of functions of several variables; line, area, volume, and surface integrals; vector functions and vector calculus; theorems of Green, Gauss, and Stokes; applications to selected problems in engineering and applied science.
- TR 8:40 a.m.-9:55 a.m.
- TR 1:10 p.m.-2:25 p.m.
- TR 5:40 p.m.-6:55 p.m.
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Instructor:
Shanyin Tong
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Instructor:
Drew C Youngren
CULPA: 10
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- 4 points
MULTV. CALC. FOR ENGI & APP SCI
Required recitation session for students enrolled in APMA E2000.
- R 2:40 p.m.-3:30 p.m.
- R 4:10 p.m.-5 p.m.
- F 10:10 a.m.-11 a.m.
- R 11:40 a.m.-12:30 p.m.
- R 4:10 p.m.-5 p.m.
- F 2:40 p.m.-3:30 p.m.
- W 4:10 p.m.-5 p.m.
- F 11:40 a.m.-12:30 p.m.
- F 1:10 p.m.-2 p.m.
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Instructor:
Madison A Ihrig
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Instructor:
Nathan Soedjak
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Instructor:
Madison A Ihrig
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Instructor:
Nathan Soedjak
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Instructor:
Madison A Ihrig
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Instructor:
Yinxi Pan
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Instructor:
Nathan Soedjak
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Instructor:
Yinxi Pan
Info - 0 points
INTRO TO APPLIED MATHEMATICS
A unified, single-semester introduction to differential equations and linear algebra with emphases on (1) elementary analytical and numerical technique and (2) discovering the analogs on the continuous and discrete sides of the mathematics of linear operators: superposition, diagonalization, fundamental solutions. Concepts are illustrated with applications using the language of engineering, the natural sciences, and the social sciences. Students execute scripts in Mathematica and MATLAB (or the like) to illustrate and visualize course concepts (programming not required).
FOUNDATIONS OF MATERIALS SCIENCE
FOUNDATIONS OF MSE
Introduction to quantum mechanics: atoms, electron shells, bands, bonding; introduction to group theory: crystal structures, symmetry, crystallography; introduction to materials classes: metals, ceramics, polymers, liquid crystals, nanomaterials; introduction to polycrystals and disordered materials; noncrystalline and amorphous structures; grain boundary structures, diffusion; phase transformations; phase diagrams, time-temperature transformation diagrams; properties of single crystals: optical properties, electrical properties, magnetic properties, thermal properties, mechanical properties, and failure of polycrystalline and amorphous materials.
- TR 10:10 a.m.-11:25 a.m.
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Instructor:
Simon Billinge
CULPA: 3 h-index: 75 Info - 3 points
LABORATORY IN MATERIALS SCI I
Measurement of electrical, thermal, and magnetic properties of single crystals. Single crystal diffraction analysis, polarized light microscopy, and infrared microscopy in Si single crystals, written and oral reports.
- M 1 p.m.-5 p.m.
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Instructor:
Yuan Yang
h-index: 49 Info - 3 points
APPLIED MATH I: LINEAR ALGEBRA
Matrix algebra, elementary matrices, inverses, rank, determinants. Computational aspects of solving systems of linear equations: existence-uniqueness of solutions, Gaussian elimination, scaling, ill-conditioned systems, iterative techniques. Vector spaces, bases, dimension. Eigenvalue problems, diagonalization, inner products, unitary matrices.
THERMO/KINETIC THRY/STAT MECH
An introduction to the basic thermodynamics of systems, including concepts of equilibrium, entropy, thermodynamic functions, and phase changes. Basic kinetic theory and statistical mechanics, including diffusion processes, concept of phase space, classical and quantum statistics, and applications thereof.
- MW 1:10 p.m.-2:25 p.m.
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Instructor:
William Bailey
CULPA: 12 Info - 3 points
MECHANICS:FUND & APPLICATIONS
Basic non-Euclidean coordinate systems, Newtonian Mechanics, oscillations, Greens functions, Newtonian graviation, Lagrangian mechanics, central force motion, two-body collisions, noninertial reference frames, rigid body dynamics. Applications, including GPS and feedback control systems, are emphasized throughout.
- MW 10:10 a.m.-11:25 a.m.
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Instructor:
Elizabeth Paul
Info - 3 points
Materials Thermodynamics and Phase Diagr
Mat Thermo and Phase Diag
Review of laws of thermodynamics, thermodynamic variables and relations, free energies and equilibrium in thermodynamic systems. Unary, binary, and ternary phase diagrams, compounds and intermediate phases, solid solutions and Hume-Rothery rules, relationship between phase diagrams and metastability, defects in crystals. Thermodynamics of surfaces and interfaces, effect of particle size on phase equilibria, adsorption isotherms, grain boundaries, surface energy, electrochemistry. Note: MSAE E4201 shares lectures and meeting times with E3201 and therefore, may not be taken in other semesters.
- TR 11:40 a.m.-12:55 p.m.
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Instructor:
Katayun Barmak
CULPA: 1 h-index: 49 Info - 3 points
APPLIED LINEAR ALGEBRA
Fundamentals of Linear Algebra including vector and Matrix algebra, solution of linear systems, existence and uniqueness, gaussian elimination, gauss-jordan elimination, the matrix inverse, elementary matrices and the LU factorization, computational cost of solutions. Vector spaces and subspaces, linear independence, basis and dimension. The 4 fundamental subspaces of a matrix. Orthogonal projection onto a subspace and solution of Linear Least Squares problems, unitary matrices, inner products, orthogonalization algorithms and the QR factorization, applications. Determinants and applications. Eigen problems including diagonalization, symmetric matrices, positive-definite systems, eigen factorization and applications to dynamical systems and iterative maps. Introduction to the singular value decomposition and its applications.
- TR 1:10 p.m.-2:25 p.m.
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Instructor:
Michael K Tippett
CULPA: 8 h-index: 43 Info - 3 points
INTRODUCTN TO NUCLEAR SCIENCE
Introductory course is for individuals with an interest in medical physics and other branches of radiation science. Topics include basic concepts, nuclear models, semi-empirical mass formula, interaction of radiation with matter, nuclear detectors, nuclear structure and instability, radioactive decay process and radiation, particle accelerators, and fission and fusion processes and technologies.
- T 6:30 p.m.-9 p.m.
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Instructor:
Stephen L Ostrow
Info - 3 points
QUANTUM PHYSICS OF MATTER
Basic theory of quantum mechanics, well and barrier problems, the harmonic oscillator, angular momentum identical particles, quantum statistics, perturbation theory and applications to the quantum physics of atoms, molecules, and solids.
- TR 10:10 a.m.-11:25 a.m.
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Instructor:
Alexander Gaeta
Wikipedia h-index: 89 Info - 3 points
LASER PHYSICS
Optical resonators, interaction of radiation and atomic systems, theory of laser oscillation, specific laser systems, rate processes, modulation, detection, harmonic generation, and applications.
- TR 11:40 a.m.-12:55 p.m.
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Instructor:
Nanfang Yu
h-index: 48 Info - 3 points
SOLAR ENERGY & STORAGE
SOLAR ENERGY & STORAGE
Lecture series by Julian Chen
Nature of solar radiation as electromagnetic waves and photons. Availability of solar radiation at different times and at various places in the world. Thermodynamics of solar energy. Elements of quantum mechanics for the understanding of solar cells, photosynthesis, and electrochemistry. Theory, design, manufacturing, and installation of solar cells. Lithium-ion rechargeable batteries and other energy-storage devices. Architecture of buildings to utilize solar energy.
- MW 1:10 p.m.-2:25 p.m.
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Instructor:
Julian Chen
Info - 3 points
PARTIAL DIFFERENTIAL EQUATIONS
Techniques of solution of partial differential equations. Separation of the variables. Orthogonality and characteristic functions, nonhomogeneous boundary value problems. Solutions in orthogonal curvilinear coordinate systems. Applications of Fourier integrals, Fourier and Laplace transforms. Problems from the fields of vibrations, heat conduction, electricity, fluid dynamics, and wave propagation are considered.
- MW 10:10 a.m.-11:25 a.m.
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Instructor:
James M Scott
h-index: 2 Info - 3 points
THEORY CRYSTALLIN MAT: PHONONS
Phenomenological theoretical understanding of vibrational behavior of crystalline materials; introducing all key concepts at classical level before quantizing the Hamiltonian. Basic notions of Group Theory introduced and exploited: irreducible representations, Great Orthogonality Theorem, character tables, degeneration, product groups, selection rules, etc. Both translational and point symmetry employed to block diagonalize the Hamiltonian and compute observables related to vibrations/phonons. Topics include band structures, density of states, band gap formation, nonlinear (anharmonic) phenomena, elasticity, thermal conductivity, heat capacity, optical properties, ferroelectricty. Illustrated using both minimal model Hamiltonians in addition to accurate Hamiltonians for real materials (e.g., Graphene)
- TR 2:40 p.m.-3:55 p.m.
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Instructor:
Chris A Marianetti
Info - 3 points
MATERIALS THERMODYN/PHASE DIAG
Review of laws of thermodynamics, thermodynamic variables and relations, free energies and equilibrium in thermodynamic system. Statistical thermodynamics. Unary, binary, and ternary phase diagrams, compounds and intermediate phases, solid solutions and Hume-Rothery rules, relationship between phase diagrams and metastability, defects in crystals. Thermodynamics of surfaces and interfaces, effect of particle size on phase equilibria, adsorption isotherms, grain boundaries, surface energy, electrochemistry, statistical mechanics.
- TR 11:40 a.m.-12:55 p.m.
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Instructor:
Katayun Barmak
CULPA: 1 h-index: 49 Info - 3 points
FUNCTNS OF A COMPLEX VARIABLE
Complex numbers, functions of a complex variable, differentiation and integration in the complex plane. Analytic functions, Cauchy integral theorem and formula, Taylor and Laurent series, poles and residues, branch points, evaluation of contour integrals. Conformal mapping, Schwarz-Christoffel transformation. Applications to physical problems.
ELEC & MAGNETIC PROP OF SOLIDS
A survey course on the electronic and magnetic properties of materials, oriented towards materials for solid state devices. Dielectric and magnetic properties, ferroelectrics and ferromagnets. Conductivity and superconductivity. Electronic band theory of solids: classification of metals, insulators, and semiconductors. Materials in devices: examples from semiconductor lasers, cellular telephones, integrated circuits, and magnetic storage devices. Topics from physics are introduced as necessary.
- MW 10:10 a.m.-11:25 a.m.
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Instructor:
William Bailey
CULPA: 12 Info - 3 points
CERAMICS & COMPOSITES
Will cover some of the fundamental processes of atomic diffusion, sintering and microstructural evolution, defect chemistry, ionic transport, and electrical properties of ceramic materials. Following this, we will examine applications of ceramic materials, specifically, ceramic thick and thin film materials in the areas of sensors and energy conversion/storage devices such as fuel cells, and batteries. The coursework level assumes that the student has already taken basic courses in the thermodynamics of materials, diffusion in materials, and crystal structures of materials.
- TR 4:10 p.m.-5:25 p.m.
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Instructor:
Siu-Wai Chan
h-index: 36 Info - 3 points
ELECTROCHEM MATLS & DEVS
Overview of electrochemical processes and applications from perspectives of materials and devices. Thermodynamics and principles of electrochemistry, methods to characterize electrochemical processes, application of electrochemical materials and devices, including batteries, supercapacitors, fuel cells, electrochemical sensor, focus on link between material structure, composition, and properties with electrochemical performance.
- MW 11:40 a.m.-12:55 p.m.
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Instructor:
Yuan Yang
h-index: 49 Info - 3 points
COMPUT MATH:INTRO-NUMERCL METH
Programming experience in Python extremely useful. Introduction to fundamental algorithms and analysis of numerical methods commonly used by scientists, mathematicians and engineers. Designed to give a fundamental understanding of the building blocks of scientific computing that will be used in more advanced courses in scientific computing and numerical methods for PDEs (e.g. APMA E4301, E4302). Topics include numerical solutions of algebraic systems, linear least-squares, eigenvalue problems, solution of non-linear systems, optimization, interpolation, numerical integration and differentiation, initial value problems and boundary value problems for systems of ODEs. All programming exercises will be in Python.
- TR 10:10 a.m.-11:25 a.m.
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Instructor:
Qiang Du
Wikipedia h-index: 67 Info - 3 points
APPLIED ELECTRODYNAMICS
Overview of properties and interactions of static electric and magnetic fields. Study of phenomena of time dependent electric and magnetic fields including induction, waves, and radiation as well as special relativity. Applications are emphasized.
- W 4:10 p.m.-6:40 p.m.
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Instructor:
Carlos Paz Soldan
h-index: 28 Info - 3 points
RADIOBIOLOGY FOR MED PHYS
Interface between clinical practice and quantitative radiation biology. Microdosimetry, dose-rate effects and biological effectiveness thereof; radiation biology data, radiation action at the cellular and tissue level; radiation effects on human populations, carcinogenesis, genetic effects; radiation protection; tumor control, normal-tissue complication probabilities; treatment plan optimization.
- R 6 p.m.-8 p.m.
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Instructor:
Marco Zaider
Info - 3 points
FUNDAMENTALS OF DOSIMETRY
Basic radiation physics: radioactive decay, radiation producing devices, characteristics of the different types of radiation (photons, charged and uncharged particles) and mechanisms of their interactions with materials. Essentials of the determination, by measurement and calculation, of absorbed doses from ionizing radiation sources used in medical physics (clinical) situations and for health physics purposes.
- W 4 p.m.-6:50 p.m.
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Instructor:
Sean L Berry
Info - 3 points
ANATOMY FOR PHYSICISTS & ENGR
Systemic approach to the study of the human body from a medical imaging point of view: skeletal, respiratory, cardiovascular, digestive, and urinary systems, breast and womens issues, head and neck, and central nervous system. Lectures are reinforced by examples from clinical two- and three-dimensional and functional imaging (CT, MRI, PET, SPECT, U/S, etc.).
- TR 4 p.m.-5:20 p.m.
- 3 points
RAD INSTRUMENT/MEASUREMENT LAB
Lab fee: $50. Theory and use of alpha, beta, gamma, and X-ray detectors and associated electronics for counting, energy spectroscopy, and dosimetry; radiation safety; counting statistics and error propagation; mechanisms of radiation emission and interaction. (Topic coverage may be revised.)
- M 5 p.m.-9 p.m.
- 3 points
SEM-PROBLEMS IN APPLIED MATH
Required for, and can be taken only by, all applied mathematics majors in the junior year. Introductory seminars on problems and techniques in applied mathematics. Typical topics are nonlinear dynamics, scientific computation, economics, operation research, etc.
- MW 11:40 a.m.-12:55 p.m.
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Instructor:
chris wiggins
CULPA: 12 Wikipedia h-index: 34 Info - 0-1 points
SEM-PROBLMS IN APPLIED PHYSICS
Required for, and can be taken only by, all applied physics majors and minors in the junior year. Discussion of specific and self-contained problems in areas such as applied electrodynamics, physics of solids, and plasma physics. Topics change yearly.
- MW 11:40 a.m.-12:55 p.m.
- 1 points
SEM-PROBLEMS IN APPLIED MATH
Required for all applied mathematics majors in the senior year. Term paper required. Examples of problem areas are nonlinear dynamics, asymptotics, approximation theory, numerical methods, etc. Approximately three problem areas are studied per term.
- MW 11:40 a.m.-12:55 p.m.
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Instructor:
chris wiggins
CULPA: 12 Wikipedia h-index: 34 Info - 3-4 points
SEM-PROBLMS IN APPLIED PHYSICS
Required for, and can be taken only by, all applied physics majors in the senior year. Discussion of specific and self-contained problems in areas such as applied electrodynamics, physics of solids, and plasma physics. Formal presentation of a term paper required. Topics change yearly.
- MW 11:40 a.m.-12:55 p.m.
- 2 points
SPEC TOPICS IN APPLIED MATH
Intro to Applied Analysis
May be repeated for credit. Topics and instructors from the Applied Mathematics Committee and the staff change from year to year. For advanced undergraduate students and graduate students in engineering, physical sciences, biological sciences, and other fields. Examples of topics include multi-scale analysis and Applied Harmonic Analysis.
SPEC TOPICS IN APPLIED MATH
INTRO TO MATH OF DATA SCIENCE
May be repeated for credit. Topics and instructors from the Applied Mathematics Committee and the staff change from year to year. For advanced undergraduate students and graduate students in engineering, physical sciences, biological sciences, and other fields. Examples of topics include multi-scale analysis and Applied Harmonic Analysis.
- TR 11:40 a.m.-12:55 p.m.
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Instructor:
Vladimir Kobzar
Info - 3 points
SPEC TOPICS IN APPLIED MATH
Stochastic Calc - Finance
May be repeated for credit. Topics and instructors from the Applied Mathematics Committee and the staff change from year to year. For advanced undergraduate students and graduate students in engineering, physical sciences, biological sciences, and other fields. Examples of topics include multi-scale analysis and Applied Harmonic Analysis.
- MW 4:10 p.m.-5:25 p.m.
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Instructor:
Qi Wang
h-index: 24 Info - 3 points
RESEARCH SEMINAR
An M.S. degree requirement. Students attend at least three Applied Mathematics research seminars within the Department of Applied Physics and Applied Mathematics and submit reports on each.
PLASMA PHYSICS I
Debye screening. Motion of charged particles in space- and time-varying electromagnetic fields. Two-fluid description of plasmas. Linear electrostatic and electromagnetic waves in unmagnetized and magnetized plasmas. The magnetohydrodynamic (MHD) model, including MHD equilibrium, stability, and MHD waves in simple geometries.
- MW 1:10 p.m.-2:25 p.m.
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Instructor:
Michael E Mauel
CULPA: 9
Info
- 3 points
ADV TPCS IN RADIATION THERAPY
Advanced technology applications in radiation therapy physics, including intensity modulated, image guided, stereotactic, and hypofractionated radiation therapy. Emphasis on advanced technological, engineering, clinical, and quality assurance issues associated with high technology radiation therapy and the special role of the medical physicist in the safe clinical application of these tools.
- W 2 p.m.-5 p.m.
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Instructor:
Cheng S Wuu
CULPA: 1 Info - 3 points
APPLIED PHYSICS SEMINAR
PLASMA DIAGNOSTICS
May be repeated for credit. Selected topics in applied physics. Topics and instructors change from year to year.
- TR 2:30 p.m.-4 p.m.
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Instructor:
Carlos Paz Soldan
h-index: 28 Info - 3 points