Courses  >  eosc250

EOSC 250 - Fields and Fluxes

Course Description

Application of classical theory of scalar and vector fields to geophysical sciences. Conductive, convective and radiative energy flux, gravitation, electrostatics, and magnetostatics, Gauss' and Stokes' theorems.


UBC Calendar

For a full listing of course offerings please see the UBC calendar description

Learning Goals

under development

Instructors

Christian Schoof

TA: Marianne Haseloff

Textbook

Required: online course notes (see below)

Suggested

  • Div, Grad, Curl and all That, H.M. Schey, Norton & Co., 1997.
  • Vector Analysis, M.R. Spiegel, Schaum's Outline Series, McGraw-Hill, 1959.
  • A multivariable calculus book (e.g. Stewart, Adams or Marsden & Tromba)
  • A differential equations text (e.g. Boyce and DiPrima)
  • W.N. Cottingham & D.A. Greenwood, Electricity and Magnetism, Cambridge University Press, 1991, or another electromagnetism text of your choice.

    • Course Content

    NOTE: If you're looking for a geophysics course purely to satisfy APEGBC requirements, you should probably look at EOS350 rather than EOS250

    Division of marks:
    Assignments - 40%
    Mid-term exam - 10%
    Quizzes/Class participation - 10%
    Final exam - 40%

    Mid-Term Examination - tbd

    Assignments:

    I expect to set 4 to 6 assignments in this course. They will be set on Fridays and wil be due at the end of class on the following Friday. No marks for late assignments.

    Office hours

    Wednesday 2.30-4 pm, EOS-South 262. Contact me in advance if you can't make this but need to see me.

    Lecture notes:

  • Mathematical prerequisites and background
  • Calculus lecture notes
  • Differential equations lecture notes
  • Density and volume integrals lecture notes
  • Flux and surface integrals lecture notes
  • Heat flux and gradient lecture notes
  • Heat equation notes
  • Divergence theorem notes
  • Additional reading on volume integrals: Schaum notes p 99 onwards
  • Additional reading on surface integrals: Schaum notes p 94 onwards, div grad curl chapter 2
  • Additional reading on vectors: Schaum notes chapters 1 and 2
  • Additional reading on the divergence theorem: Schaum notes p106-127, div grad curl chapter 2

    • Course information, practice exams etc.:

  • course information sheet
  • Exam equation sheet
  • Calculus and vectors practice quiz
  • Calculus and vectors quiz - answers
  • 2013 Calculus and vectors quiz - answers
  • Practice midterm
  • Practice midterm answers
  • 2010 midterm answers
  • 2011 midterm answers
  • 2012 midterm answers
  • 2008 final exam (some material no longer covered in course)
  • 2009 final exam (some material no longer covered in course)
  • 2010 final exam
  • 2010 final exam answers
  • 2011 final exam

    • Midterm:

  • 2013 midterm answers

    • Assignments:

  • Assignment 1, due Monday, February 4th 2013
  • Assignment 1 answers
  • Assignment 2, due Wednesday, February 27th 2013
  • Assignment 2 answers
  • Assignment 3: Exercises 6 and 9 of the Heat flux and gradient lecture notes and exercises 2 and 3 of the divergence theorem lecture notes, due Monday, March 21st 2013
  • Assignment 3 answers
  • Assignment 3: Exercises 2, 3 and 8 of the Heat equation lecture notes, due Friday, April 5th, 2013. NOTE: To do exercise 8, you may have to do exercise 7. Some of this will appear in class next week, but I recommend you have a go at it before then.
  • Assignment 4 answers

    • Lecture Topics

    • Calculus review
    • Differential equations as basic tools in modelling continuum physics
    • Volume integrals: mass content, heat content, rate of heat production in a volume
    • Fluxes as transport rates in 3D
    • Surface integrals and net transfer through a surface
    • Conservation laws for continua
    • Reducing conservation laws to local forms (differential equations): systems with symmetry
    • Solving local forms for conservations laws: the heat equation for slabs,cylinders and spheres
    • General reduction of conservation laws to local form: the divergence theorem
    • Examples of conservation laws in the 3D: the heat equation, and its steady-state form, Poisson's equation
    • Point sources and Green's functions in Poisson's equation
    • If time: force fields, conservative forces, line integrals and Stokes' theorem,inverse square law forces and Poisson's equation

    Labs

    There are no labs for this course.

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