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PHYSICS 7534 - Computational Physics

North Terrace Campus - Semester 2 - 2014

This hands-on course provides an introduction to computational methods in solving problems in physics. It teaches programming tactics, numerical methods and their implementation, together with methods of linear algebra. These computational methods are applied to problems in physics, including the modelling of classical physical systems to quantum systems, as well as to data analysis such as linear and nonlinear fits to data sets. Applications of high performance computing are included where possible, such as an introduction to parallel computing and also to visualization techniques.

  • General Course Information
    Course Details
    Course Code PHYSICS 7534
    Course Computational Physics
    Coordinating Unit School of Chemistry & Physics(Inactive)
    Term Semester 2
    Level Postgraduate Coursework
    Location/s North Terrace Campus
    Units 3
    Contact Up to 6 hours per week
    Prerequisites Sufficient Physics and Mathematics knowledge equivalent to 'Assumed Knowledge'
    Incompatible PHYSICS 3534
    Assumed Knowledge PHYSICS 2510, PHYSICS 2532, PHYSICS 2534, MATHS 2101 or MATHS 2201, MATHS 2102 or MATHS 2202 or equivalent
    Assessment Written examination, projects, assignments & tests
    Course Staff

    Course Coordinator: Dr Rodney Crewther

    Course Timetable

    The full timetable of all activities for this course can be accessed from .

  • Learning Outcomes
    Course Learning Outcomes

    On completion of this course, students should be able to:

    1. identify modern programming methods and describe the extent and limitations of computational methods in physics,
    2. identify and describe the characteristics of various numerical methods.
    3. independently program computers using leading-edge tools,
    4. formulate and computationally solve a selection of problems in physics,
    5. use the tools, methodologies, language and conventions of physics to test and communicate ideas and explanations.
    University Graduate Attributes

    This course will provide students with an opportunity to develop the Graduate Attribute(s) specified below:

    University Graduate Attribute Course Learning Outcome(s)
    Knowledge and understanding of the content and techniques of a chosen discipline at advanced levels that are internationally recognised. 1 – 2
    The ability to locate, analyse, evaluate and synthesise information from a wide variety of sources in a planned and timely manner. 3 – 5
    An ability to apply effective, creative and innovative solutions, both independently and cooperatively, to current and future problems. 1 – 5
    Skills of a high order in interpersonal understanding, teamwork and communication. 5
    A proficiency in the appropriate use of contemporary technologies. 1 – 5
    A commitment to continuous learning and the capacity to maintain intellectual curiosity throughout life. 1 – 5
    A commitment to the highest standards of professional endeavour and the ability to take a leadership role in the community. 5
  • Learning Resources
    Recommended Resources

    This course requires the following texts and other resources:

    Text

    -         Fortran 95/2003 Explained, Metcalf, Reid and Cohen (Oxford)

    References

    -         Fortran 90/95 Explained, Metcalf and Reid (Oxford)

    -         Fortran 90/95 for Scientists and Engineers, Chapman (McGraw-Hill Higher Education)

    -         Fortran 90 Programming, Ellis, Philips and Lahey (Addison-Wesley)

    -         Numerical Recipes in FORTRAN: The Art of Scientific Computing, Press, et al. (Cambridge University Press)

    -         Computational Physics -Fortran Version, Koonin and Meredith (Addison Wesley).

    -         "Mastering Matlab 7" by Duane C. Hanselman and Bruce L. Littlefield, Prentice Hall, 2005
  • Learning & Teaching Activities
    Learning & Teaching Modes

    This course is delivered by the following means:

    Internal

    -         3 Lectures of 1 hour each per week

    -         1 Tutorial of 3 hours per week
    Workload

    No information currently available.

    Learning Activities Summary

    The course   content includes the following:

    Introduction   to UNIX/Linux

    -           common UNIX commands and options; the emacs   editor

    -           remote access to computer clusters

    Programming  

    -           conditional statements

    -           loops and arrays

    -           modules, functions and subroutines, scoping   of variables

    Symbolic   computation

    -           Algebraic simplifications, matrix algebra,   symbolic differentiation and integration, solutions of differential equations   and special functions

    Numerical   Methods

    -           numerical integration, approximation of   integrands by linear and quadratic polynomials, trapezoidal rule, Simpson’s   rule, Gaussian quadrature

    -           transformation of variables, Monte Carlo   methods, finite-element methods

    Differential   equations

    -           ordinary and partial differential   equations, initial value problems, boundary value problems

    -           Taylor expansion method, Runge-Kutta method

    -           local and accumulated truncation errors,   error control

    -           two-point boundary value problems and   solution by shooting method

    Modelling

    -           trajectories and particle motion, linear   and nonlinear initial value problems

    -           radial Schrodinger equation

    -           normalization of wavefunctions, energy   levels, orthogonality of wave functions, expectation values, probability   calculations

    -           problems in electromagnetism and solution   by finite elements

    -           interpolation, interpolating polynomials,   errors

    -           curve fitting and best fits using   least-squares linear fits to basis functions

    -           general optimization methods for nonlinear   fits

    -           inverting matrices, ill-conditioned   matrices, the condition number

  • Assessment

    The University's policy on Assessment for Coursework Programs is based on the following four principles:

    1. Assessment must encourage and reinforce learning.
    2. Assessment must enable robust and fair judgements about student performance.
    3. Assessment practices must be fair and equitable to students and give them the opportunity to demonstrate what they have learned.
    4. Assessment must maintain academic standards.

    Assessment Summary

    Assessment task

    Type of assessment

    Percentage of total   assessment for grading purposes #

    Hurdle

     

    Yes or No #

    Outcomes being   assessed / achieved

    Projects

    Formative   & Summative

    20%

    NO

    1   – 5

    (Not all projects will assess every   objective).

    Assignments   & Tests

    Formative   & Summative

    20%

    NO

    1   – 5

    (Not all projects will assess every   objective).

    Written   Examination

    Summative

    60%

    NO

    1,   2, 4, 5

    Assessment Detail

    Description of Assessment:

    Projects, Assignments and Tests: (40% of total course grade)

    The standard assessment consists of 2 projects and 2 tests/assignments. This may be varied by negotiation with students at the start of the semester. This combination of projects, tests and summative assignments is used during the semester to address understanding of and ability to use the course material and to provide students with a benchmark for their progress in the course.

    Written Examination: (60% of total course grade)

    One exam is given to address understanding of and ability to use the material.

     

    Poor performance in projects, assignments and/or tests may be partly redeemed in the final exam.
    Submission

    No information currently available.

    Course Grading

    Grades for your performance in this course will be awarded in accordance with the following scheme:

    M10 (Coursework Mark Scheme)
    Grade Mark Description
    FNS   Fail No Submission
    F 1-49 Fail
    P 50-64 Pass
    C 65-74 Credit
    D 75-84 Distinction
    HD 85-100 High Distinction
    CN   Continuing
    NFE   No Formal Examination
    RP   Result Pending

    Further details of the grades/results can be obtained from Examinations.

    Grade Descriptors are available which provide a general guide to the standard of work that is expected at each grade level. More information at Assessment for Coursework Programs.

    Final results for this course will be made available through .

  • Student Feedback

    The University places a high priority on approaches to learning and teaching that enhance the student experience. Feedback is sought from students in a variety of ways including on-going engagement with staff, the use of online discussion boards and the use of Student Experience of Learning and Teaching (SELT) surveys as well as GOS surveys and Program reviews.

    SELTs are an important source of information to inform individual teaching practice, decisions about teaching duties, and course and program curriculum design. They enable the University to assess how effectively its learning environments and teaching practices facilitate student engagement and learning outcomes. Under the current SELT Policy (http://www.adelaide.edu.au/policies/101/) course SELTs are mandated and must be conducted at the conclusion of each term/semester/trimester for every course offering. Feedback on issues raised through course SELT surveys is made available to enrolled students through various resources (e.g. MyUni). In addition aggregated course SELT data is available.

  • Student Support
  • Policies & Guidelines
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