College of LS&A

Winter Academic Term 2003 Graduate Course Guide

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Courses in Physics


This page was created at 8:38 AM on Thu, Feb 6, 2003.

Winter Academic Term, 2003 (January 6 - April 25)

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PHYSICS 401. Intermediate Mechanics.

Section 001.

Instructor(s): Meigan C Aronson (maronson@umich.edu)

Prerequisites: PHYSICS 126/128 or 240 (or 260)/241, and MATH 216. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

PHYSICS 405. Intermediate Electricity and Magnetism.

Section 001.

Instructor(s): David W Gerdes (gerdes@umich.edu)

Prerequisites: PHYSICS 126/128 or 240 (or 260)/241, and MATH 216. Prior or concurrent enrollment in PHYSICS 451. PHYSICS 340 recommended. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://zeno.physics.lsa.umich.edu/405/

his is a second course on the classical theory of electromagnetism at a level suitable for majors in the physical sciences or engineering. Familiarity with Maxwell's equations at the level of PHYSICS 240 is assumed. Other prerequisites include MATH 216 and concurrent or prior enrollment in PHYSICS 451. PHYSICS 340 is strongly recommended. The course elaborates on the theoretical content of the Maxwell theory as well as practical applications. Topics: review of vector calculus; electrostatic boundary value problems; magnetostatics; dielectric and magnetic materials; Maxwell's equations and electrodynamics; the wave equation, electromagnetic waves in free space, waves in conducting and dielectric media; electromagnetic radiation; sources of EM radiation.

D. J. Griffiths, Introduction to Electrodynamics, 3rd edition (required).

Exams: There will be three 50-minute midterm exams and a two-hour final.

Problem sets: Problem sets are due approximately weekly.

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PHYSICS 406. Statistical and Thermal Physics.

Section 001.

Instructor(s): Samuel M Moukouri (moukouri@umich.edu)

Prerequisites: PHYSICS 126/128 or 240 (or 260)/241, and MATH 216. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

From microscopic to macroscopic. In this course a systematic introduction to statistical physics and thermodynamics will be povided. Statistical physics (microscopic physics) and thermodymics (macroscopic physics) form a unit. Although thermodynamic concepts (the three laws) and quantities (temperature, entropy, free energy) can be formulated non-statistically, their fundamental justification requires the statistical method introduced by Gibbs.

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PHYSICS 411. Introduction to Computational Physics.

Section 001.

Instructor(s):

Prerequisites: PHYSICS 401 and MATH 216. Some familiarity with a computer language. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

Check Times, Location, and Availability Cost: 3 Waitlist Code: 4

PHYSICS 417 / CHEM 417. Dynamical Processes in Biophysics.

Section 001.

Instructor(s): Jens-Christian D Meiners (meiners@umich.edu)

Prerequisites: MATH 216, and PHYSICS 340 or CHEM 463. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

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PHYSICS 420. Living with Physics for Elementary Teachers.

Instructor(s): Jean P Krisch (jkrisch@umich.edu)

Prerequisites: Open only to elementary education concentrators. No credit granted to those who have completed or are enrolled in PHYSICS 106. (3). Laboratory fee ($25) required. May not be repeated for credit.

Credits: (3).

Lab Fee: Laboratory fee ($25) required.

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

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PHYSICS 442. Advanced Laboratory II.

Instructor(s): Dante Eric Amidei (amidei@umich.edu)

Prerequisites: PHYSICS 390 and any 400-level Physics course. (2). May not be repeated for credit.

Credits: (2).

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

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PHYSICS 452. Methods of Theoretical Physics II.

Section 001.

Instructor(s): Jianming Qian (qianj@umich.edu)

Prerequisites: PHYSICS 451. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://coursetools.ummu.umich.edu/2003/winter/physics/452/001.nsf

Physics 452 is the second course of a two-term sequence in mathematical method of physics. Topics to be covered are Gamma, Bessel, Legendre and other special functions, integral equations, calculus of variations, probability and scientific computing.

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PHYSICS 453. Quantum Mechanics.

Section 001.

Instructor(s): James Daniel Wells (jwells@umich.edu)

Prerequisites: PHYSICS 390. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

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PHYSICS 457. Subatomic Physics.

Section 001.

Instructor(s): Carl W Akerlof (akerlof@umich.edu)

Prerequisites: PHYSICS 453. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

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PHYSICS 460. Quantum Mechanics II.

Section 001.

Instructor(s): Jens C Zorn (jenszorn@umich.edu)

Prerequisites: PHYSICS 453. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: https://coursetools.ummu.umich.edu/2003/winter/physics/460/001.nsf

No Description Provided. Contact the Department.

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PHYSICS 463. Introduction to Solid State Physics.

Section 001.

Instructor(s): Roy Clarke (royc@umich.edu)

Prerequisites: PHYSICS 453. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

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PHYSICS 489. Physics of Music.

Section 001.

Instructor(s): Daniel Axelrod (daxelrod@umich.edu)

Prerequisites: Permission of instructor. No credit granted to those who have completed or are enrolled in PHYSICS 288. (3). May not be included in a concentration plan in physics. May not be repeated for credit.

Credits: (3).

Course Homepage: http://www.physics.lsa.umich.edu/phys288/

This course consists of Physics 288 plus a theoretical or experimental project which the student does independently. The special project related to the subject matter of the course (but going further or more deeply) must be handed in by the date of the final. You must consult with the instructor in advance to plan this project. The project will count 20% of the grade and the above percentages will be appropriately adjusted.

Text: The Acoustical Foundations of Music, 2nd edition; Backus; W.W. Norton & Co. (Required).

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

PHYSICS 501. First-Year Mini-Colloquium.

Section 001.

Instructor(s): Samuel M Moukouri (moukouri@umich.edu)

Prerequisites: Graduate standing. (1). May be elected twice for credit.

Credits: (1).

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: 5, Permission of Department

PHYSICS 506. Electricity and Magnetism II.

Section 001.

Instructor(s): Georg A Raithel (graithel@umich.edu)

Prerequisites: Graduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

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PHYSICS 507. Theoretical Mechanics I.

Section 001.

Instructor(s): Pyungwon Ko (pyungwon@umich.edu)

Prerequisites: Graduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://feynman.physics.lsa.umich.edu/phys507/

Elementary principles; Variational principle and Lagrange's equation; Topics in Lagrangian mechanics: central forces; rigid bodies; small oscillations; Hamiltonian mechanics; Canonical transformations, Hamilton-Jacobi theory, action-angle variables, perturbation theory ; Non-linear dynamics and chaos; KAM theory; Continuos systems and Fields

Text: H. Goldstein, C. Poole, & J. Safko, Classical Mechanics, Addison Wesley, 2002 Recommended for those who are interested in chaos: E. Ott, Chaos in Dynamical Systems, Cambridge University Press, 1993.

Grading Your course grade will be determined by the total number of points you earned in the midetrm exam, the final exam and the homeworks. Homework problems will be assigned mostly once per week. The weighting is as follows: Midterm Exam 30 % Final Exam 30 % Homeworks 40 %

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PHYSICS 512. Quantum Theory and Atom Physics II.

Section 001.

Instructor(s): James T Liu (jimliu@umich.edu)

Prerequisites: Graduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://pauli.physics.lsa.umich.edu/p512/info512.html

This is the second part of the full year Quantum I and II sequence. Quantum II will expand on angular momentum (the addition of angular momentum and spherical tensor operators) and will cover scattering theory and approximation methods (WKB, stationary state and time dependent perturbation theory). When possible, we will touch upon applications in atomic, nuclear and particle physics. The course will conclude with an introduction to Dirac theory, so long as time permits. <

Homework: Homework will be assigned and graded. Homework will generally be due once a week on Fridays.

Exams: There will be one midterm and a final

Grading: The course grade will be determined based on the homework (35%), midterm (30%) and final exam (35%).

Textbook: Eugen Mertzbacher, Quantum Mechanics, Third Edition, Wiley, 1998. I also recommend (optionally) J.J. Sakurai, Modern Quantum Mechanics, Revised Edition, Addison-Wesley, 1994.

Other textbooks you may wish to consult include: Baym, Lectures on Quantum Mechanics; Cohen-Tannoudji, Diu and Laloe, Quantum Mechanics; Hecht, Quantum Mechanics; Liboff, Introductory Quantum Mechanics; Park, Introduction to the Quantum Theory.

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PHYSICS 515. Supervised Research.

Instructor(s):

Prerequisites: Graduate standing. Permission of instructor required. (4-6). (INDEPENDENT). May not be repeated for credit.

Credits: (4-6).

Course Homepage: No homepage submitted.

Four to six credit-hour courses in research.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: 5, Permission of Department

PHYSICS 521. Elementary Particle Physics I.

Section 001.

Instructor(s): Gordon L Kane (gkane@umich.edu)

Prerequisites: PHYSICS 512 and graduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://feynman.physics.lsa.umich.edu/521.html

The Standard Model of particle physics is the very well tested description of the weak, electromagnetic, and strong forces, and of how quarks and leptons interacting via these forces build up all the structure of the world we see. With it we understand the theory underlying electromagnetism, we understand what light is, we have a theory of the nuclear force, and much more. PHYSICS 521 presents the Standard Model fully at an introductory level, and develops its implications so predictions and tests can be understood and the student can see why the Standard Model is now fully accepted as correct. Considerable emphasis is put on the experimental foundations of the field. The course is designed to be self-contained, assuming students have had some advanced quantum theory, and to be of interest to students in any subfield of physics. Grades are based on about sixty homework problems.

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PHYSICS 522. Atomic Physics and Quantum Mechanics.

Section 001.

Instructor(s):

Prerequisites: Graduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

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PHYSICS 523. Advanced Quantum Mechanics II.

Section 001.

Instructor(s): Martin B Einhorn (meinhorn@umich.edu)

Prerequisites: PHYSICS 513 and raduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: https://coursetools.ummu.umich.edu/2003/winter/physics/523/001.nsf

This course is the second semester of a one-year Introduction to Quantum Field Theory. Relativistic quantum field theory with emphasis on gauge field theories. Among the topics explored are renormalization and unitarity of abelian and non-abelian gauge theories, spontaneous symmetry breaking, and renormalization group.

  • Renormalization Theory Dimensional Regularization and Minimal Subtraction Path Integral approach to QFT
  • Quantization of Electromagnetic Field Faddeev-Popov method (I)
  • Functional Integration for Spinor Fields
  • Higher-order processes in QED. Anomalous Magnetic Moment of Electron and Muon
  • The infrared "catastrophe"
  • Spontaneous Symmetry Breaking: Goldstone's Theorem
  • Higgs Phenomenon in Gauge Theories (I): Abelian Higgs Model (Landau-Ginzburg Model of Superconductivity)
  • Effective Action and Effective Potential.
  • The Renormalization Group: Callan-Symanzik equation
  • Effective Potential beyond Tree Approximation; Renormalization and Symmetry; RG improvement of the effective potential; Symmetry Breaking by radiative corrections; (Coleman-Weinberg Model & Dimensional Transmutation)
  • Non-Abelian Gauge Theories: Non-abelian gauge symmetries; Quantization - Faddeev-Popov method (II); Higgs Phenomenon in Gauge Theories (II).

Shopping List:

  • The chiral anomaly and its consequences.
  • Critical Exponents, Epsilon Expansion, Nonlinear Sigma Model
  • Field Theory at Finite Temperature: Partition Function as a path integra; High Temperature Limit and Infrared Singularities.
  • Nonperturbative phenomena in field theory: Solitons (vortices, magnetic monopoles,...) as particles.
  • Tunnelling phenomena in field theory: Instantons; QCD; Fate of the false vacuum (unstable field configurations.)
  • Detailed Renormalization of Gauge Theories; BRS transformations and Ward identities.
  • Supersymmetric Quantum Field Theories.

Homework will count 75% of the course grade. The remaining 25% will be based on a term paper

Primary Text: Peskin and Schroeder, Introduction to Quantum Field Theory. (PS).
Errata: http://www.slac.stanford.edu/~mpeskin/QFT.html.

Secondary Text: A first book of quantum field theory, Lahiri, Amitabha & Palash B. Pal, CRC Press, 2001. ISBN: 0849309778. (LP)
Errata: http://tnp.saha.ernet.in/~pbpal/books/qft/errata.html.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

PHYSICS 525. Intro Topics in Astrophysics.

Section 001.

Instructor(s): Katherine Freese (ktfreese@umich.edu)

Prerequisites: Graduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

PHYSICS 540 / APPPHYS 601. Advanced Condensed Matter.

Section 001.

Instructor(s): David A Reis (dreis@umich.edu)

Prerequisites: Graduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

This is the second of a two course sequence (Physics 520 & 540) in condensed matter physics. It provides an introduction to basic subjects not covered in Physics 520 (e.g., linear response and group theory) as well as a presentation of topics of current interest such as the quantum Hall effect and superconductivity.

Prerequisites: Solid State Physics (Physics 520), Statistical Physics (Physics 510) and Quantum Mechanics (Physics 511 & 512), or equivalent courses. Graduate standing.

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PHYSICS 541. Elementary Particle Physics II.

Section 001.

Instructor(s):

Prerequisites: PHYSICS 521. Graduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

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PHYSICS 542 / EECS 638. Quantum Optics.

Section 001.

Instructor(s): Paul R Berman (pberman@umich.edu)

Prerequisites: Graduate standing. (3). CAEN lab access fee required for non-Engineering students. May not be repeated for credit.

Credits: (3).

Lab Fee: CAEN lab access fee required for non-Engineering students.

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

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PHYSICS 611 / APPPHYS 611 / EECS 634. Nonlinear Optics.

Section 001.

Instructor(s): Winful

Prerequisites: EECS 537 or 538 or 530. Graduate standing. (3). CAEN lab access fee required for non-Engineering students. May not be repeated for credit.

Credits: (3).

Lab Fee: CAEN lab access fee required for non-Engineering students.

Course Homepage: No homepage submitted.

See Applied Physics 611.001.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: 1

PHYSICS 619 / APPPHYS 619. Advanced Solid State Physics.

Section 001 Physics of Semiconductor Heterostructures.

Instructor(s): Çagliyan Kurdak (kurdak@umich.edu)

Prerequisites: Graduate standing and permission of instructor. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://www.physics.lsa.umich.edu/kurdak/phys619/

After a review of semiconductor physics, the course will focus on quantum transport in semiconductor heterostructures. Topics such as electronic structure of III-V semiconductors, heterojunctions and band gap engineering, quantum wells, superlattices, resonant tunneling structures, two-dimensional electron gas, quantum point contacts, quantum dots and other mesoscopic structures, ballistic transport, coherent transport, and integer and fractional quantum Hall effects will be covered.

Course Outline

  1. Introduction and a Review of Quantum Mechanics
  2. Fundamentals of Semiconductors
    1. Bulk semiconductors
      1. direct and indirect bandgap semiconductors
      2. doped semiconductors
    2. Contacts, junctions and interfaces
    3. metal-vacuum interface, work function
    4. metal-semiconductor interface
    5. p-n junction
  3. III-V semiconductors
  4. heterojunctions and band alignments
  5. epitaxial growth
  • Vertical Transport
    1. Thermionic emission
    2. p-n junction
    3. Light emitting diodes and lasers
    4. Quantum wells and resonant tunneling diodes
    5. Superlattices, minibands and Bloch oscillations
    6. Infrared devices
      1. multiple quantum well infrared detectors
      2. quantum cascade lasers
  • Lateral Transport
    1. Two-dimensional electron gas
      1. remote doping velectron transport and scattering
    2. Mesoscopic systems
      1. quantum transport and Landauer-Buttiker formalism
      2. quantum point contact
      3. quantum dots and Coulomb blockade
      4. single electron transistor
    3. Magneto-transport, integer and fractional quantum Hall effects

    Grading: There will be homework assignments (not every week), two midterms, and a final exam. The first midterm will cover sections I and II. The second midterm will cover section III and the first part of section IV. In the calculation of your final score, your homework and each midterm will have 20% weight and the final exam will have 40% weight.

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    PHYSICS 620. Solid State.

    Section 001.

    Instructor(s): David A Reis (dreis@umich.edu)

    Prerequisites: Graduate standing and permission of instructor. (3). May not be repeated for credit.

    Credits: (3).

    Course Homepage: No homepage submitted.

    No Description Provided. Contact the Department.

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    PHYSICS 627. Experimental High Energy Physics.

    Section 001.

    Instructor(s): Alan D Krisch (krisch@umich.edu)

    Prerequisites: Graduate standing and permission of instructor. (3). May not be repeated for credit.

    Credits: (3).

    Course Homepage: No homepage submitted.

    PHYSICS 627 will cover:

    • experimental techniques and results in High Energy Physics
    • experimental techniques and results in Accelerator Physics which involves the proton and electron accelerators and storage rings, which produce the MeV to GeV to TeV particles for these experiments.

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    PHYSICS 631. Advanced Mathematical Physics.

    Section 001.

    Instructor(s):

    Prerequisites: Graduate standing and permission of instructor. (3). May not be repeated for credit.

    Credits: (3).

    Course Homepage: No homepage submitted.

    No Description Provided. Contact the Department.

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    PHYSICS 635. Theory of Relativity.

    Section 001.

    Instructor(s):

    Prerequisites: Graduate standing and permission of instructor. (3). May not be repeated for credit.

    Credits: (3).

    Course Homepage: No homepage submitted.

    No Description Provided. Contact the Department.

    Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

    PHYSICS 642. Tutorial in Quantum Mechanics.

    Section 001.

    Instructor(s):

    Prerequisites: PHYSICS 630. (2). May not be repeated for credit.

    Credits: (2).

    Course Homepage: No homepage submitted.

    No Description Provided. Contact the Department.

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    PHYSICS 646. String Theory.

    Section 001.

    Instructor(s): Finn Larsen (larsenf@umich.edu)

    Prerequisites: Knowledge of general relativity and introductory quantum field theory. (3). This course has a grading basis of "S" or "U." May not be repeated for credit.

    Credits: (3).

    Course Homepage: No homepage submitted.

    No Description Provided. Contact the Department.

    Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

    PHYSICS 651 / APPPHYS 551 / EECS 539. Lasers.

    Section 001.

    Instructor(s):

    Prerequisites: EECS 537 or 538. Graduate standing. (3). CAEN lab access fee required for non-Engineering students. May not be repeated for credit.

    Credits: (3).

    Lab Fee: CAEN lab access fee required for non-Engineering students.

    Course Homepage: No homepage submitted.

    See Applied Physics 551.001.

    Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: 1

    PHYSICS 715. Special Problems.

    Section 001.

    Instructor(s):

    Prerequisites: Graduate standing and permission of instructor. (1-6). May not be repeated for credit.

    Credits: (1-6).

    Course Homepage: No homepage submitted.

    No Description Provided. Contact the Department.

    Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: 1 and Permission of Instructor

    PHYSICS 993. Graduate Student Instructor Training Program.

    Section 001.

    Instructor(s):

    Prerequisites: Must have Teaching Assistant award. Graduate standing and permission of instructor. (1). May not be repeated for credit.

    Credits: (1).

    Course Homepage: No homepage submitted.

    A seminar for all beginning graduate student instructors, consisting of a two day orientation before the term starts and periodic workshops/meetings during the Winter Academic Term. Beginning graduate student instructors are required to register for this course.

    Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

    PHYSICS 995. Dissertation/Candidate.

    Instructor(s):

    Prerequisites: Graduate School authorization for admission as a doctoral Candidate. Graduate standing. (8). (INDEPENDENT). May be repeated for credit.

    Credits: (8; 4 in the half-term).

    Course Homepage: No homepage submitted.

    Graduate School authorization for admission as a doctoral Candidate. N.B. The defense of the dissertation (the final oral examination) must be held under a full term Candidacy enrollment period.

    Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: 5, Permission of Department


    Undergraduate Course Listings for PHYSICS.


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