Download PHYS 432: Electricity and Magnetism

DETAILEDCOURSEDESCRIPTION
CourseNumberPHYS432
CourseTitleElectricityandMagnetism
TargetaudienceThecourseisdesignedforseniorlevelphysicsmajors;however
otherengineeringandsciencemajorswiththecorrectpreparationarevery
welcome.Nb:thisisacoursethatisNOTmandatoryforallPhysicsMajors.
Typically,butnotalways,thisisacoursewhoseaudienceiscomposedbystudents
whointendtopursuegraduatestudiesaftertheBSdegree.
PrerequisitesPHYS431
CatalogdescriptionMethodsofcalculationinelectrostaticsandmagnetostatics.
Conservationlaws.Potentials.Electromagneticwaves.Relativisticelectrodynamics.
Radiation.Thiscourseistargetedtowardstudentswhointendtopursuegraduate
studiesinphysics.
(RE)Prerequisite(s):431.
Expectedpreviousknowledge
Concepts.
ElectricityandMagnetismatthelevelofPHY431.Relativityat
thelevelofPHY312.WavesatthelevelofPHY232orPHY
136orPHY138
Skills
Familiaritywithcalculusandcalculusconcepts(vectors,vector,
differentialandintegralcalculus),linearalgebra(matrices,
determinantsetc.),differentialequations(ODE,PDE),vector
analysis(i.e.Div,Curl,Grad,DivandStokes’Theorems).
CourseObjectives

Gain deeper understanding of Electricity and Magnetism. Consolidate
the understanding of fundamental concepts in Electricity and Magnetism more
rigorouslyasneededforfurtherstudiesinphysics,engineeringandtechnology.
 Advance skills and capability for formulating and solving problems.
Expand and exercisethe students’ physical intuition and thinkingprocess through
theunderstandingofthetheoryandapplicationofthisknowledgetothesolutionof
practicalproblems.
 Increasemathematicalandcomputationalsophistication. Learn and apply
advanced mathematical techniques and methods of use to physicists in solving
problems. Develop some capabilities for numerical/computational methods, in
ordertoobtainsolutionstoproblemstoodifficultorimpossibletosolveanalytically.
SampleText“IntroductiontoElectrodynamics”,byDavidJ.Griffiths,Pearson
MinimumMaterialCovered
ElectrostaticsandMagnetostatics:Integrationtechniquesforcomputingfields
(lineintegrals,surfaceintegralsandvolumeintegralsindetail).Boundaryvalue
problems.Laplace’sandPoisson’sequations.Methodofimages.Solutionsof
boundaryvalueproblemswithmethodofseparationofvariablesetc..
Conservationlaws:Continuityequation,Poynting’stheorem
Electromagneticwaves:wavesinvacuum,wavesinmatter,absorptionand
dispersion,dispersionrelations,waveguides
Potentialsandfields:scalarandvectorpotentials,gaugetransformations
(CoulombandLorentzgauge),retardedpotentials
ElectrodynamicsandRelativity:Lorentztransformations,Minkowskispace‐time
anditsmetric,relativisticelectrodynamics(magnetismasarelativisticeffect,
tensors,ElectromagneticFieldtensor,Maxwell’sequationsandequationsforthe
fieldsintensornotation)
Radiation:Radiationbypointcharges,Lienard‐Wiechertpotentials,fieldsof
movingpointcharges,antennas