http://sites.science.oregonstate.edu/portfolioswiki/ 2020-01-26T22:49:36-08:00 http://sites.science.oregonstate.edu/portfolioswiki/ http://sites.science.oregonstate.edu/portfolioswiki/lib/images/favicon.ico text/html 2017-06-06T09:37:50-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:cforder?rev=1496767070 Unit: Classical Central Forces Center of Mass (35 minutes) Prerequisite IdeasSurvivor Outer Space: A kinesthetic approach to introducing Center of MassDerivation and Explanation of Center of MassHomework Introduction to Central Force Problems, Reduced Mass and Angular Momentum (1 hour 10 minutes) Prerequisite IdeasAssumptions about Central Force MotionDerivation of Reduced MassIntroduction of Angular MomentumDefinition of a Central ForceCentral Forces on an Air TableHomework Polar Coordinates … text/html 2017-06-06T09:35:30-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:cfordermb?rev=1496766930 Prerequisite IdeasSolving the $\theta$ equations using a Series Solution MethodGuessing the Legendre Polynomial Expansion of a FunctionLegendre SeriesLegendre Polynomial Series CoefficientsHomework text/html 2018-08-30T12:33:11-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:eeorder?rev=1535657591 Unit: First & Second Laws of Thermodynamics Heat and Temperature (40 minutes) Prerequisite Ideas:Ice calorimetry labComparing Thermodynamic PropertiesDulong-Petit LawHomework Introducing the First & Second Thermodynamic Laws (2 hours 55 minutes) Prerequisite Ideas text/html 2011-07-14T21:16:02-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:eeorderdr?rev=1310703362 Unit: Thermodynamic concepts Thermodynamics Prerequisite Ideas Ice calorimetry lab50 min “What is heat?” (SWBQ) 5 min “What is entropy?” (SWBQ) 5 min Introduction to thermodynamic ideas (Lecture) Thermodynamic variables “Write down any thermodynamic variables you can think of.” (SWBQ) 4 min text/html 2015-08-08T12:37:12-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:inorder?rev=1439062632 Unit: Interlude Partial Derivatives (40 minutes) Prerequisite ideasQuantifying ChangeIsowidth and Isoforce Stretchability Potential Energy and the Partial Derivative Machine (1 hour 40 minutes) Prerequisite ideasMath pre-testEasy and Hard DerivativesPotential Energy of a SpringPotential Energy of an Elastic System Total Differentials and Partial Derivatives (1 hour 30 minutes) Prerequisite ideasTotal DifferentialsEvaluating Total Differentials: "Zapping with d"What You Can Do with Total Differe… text/html 2016-06-27T12:08:26-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:inorderif?rev=1467054506 Unit: Interlude (2016) Lecture 1 “”“”“” Lecture 2 Lecture 3 Lecture 4 Lecture 5 text/html 2011-08-22T15:17:54-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:inorderold?rev=1314051474 Unit: Interlude Variables of Thermodynamics (40 minutes) Prerequisite ideasNaming Thermodynamic VariablesConjugate pairsFinding Conjugate PairsExtensive and intensive categorizingFinding Intensive and Extensive Variables What Kind of a Beast is it? (1 hour 40 minutes) Prerequisite ideasMath pre-testBalloon propertiesState variablesTotal differential of energyFirst law of thermodynamicsChain rule diagramsLine on a chain rule diagramHomework Total & Partial Differentials (85 minutes) Prerequisite… text/html 2017-06-06T09:50:41-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:mbcforder?rev=1496767841 PH 426 (Central Forces) Math Bits Unit: ODEs Power Series Solutions Prerequisite ideasFIXMESeries SolutionsSeries DerivativeSeries SolutionsSGA20 minHomework Changes of Variable Prerequisite ideasChange the Independent VariableSGAChange the Dependent VariableFIXMEQMSHOA Hermite PolynomialSGA20 minHomework Unit: PDEs Types of PDEs Boundary Conditions Putting Solutions Together Unit: Eigenfunction Expansions Legendre Polynomials text/html 2017-11-15T14:20:04-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:mbeeorder?rev=1510784404 PH 423 (Energy and Entropy) Math Bits On 11/14/17, Paul edited this page to reflect the Math Bits implemented in Autumn 2017; the original version of the information for the EE Math Bits is currently archived at the bottom of the page, but can be deleted once the page is finalized. text/html 2016-10-25T14:23:03-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:mborder?rev=1477430583 PH 422 Math Bits Power Series Basics Prerequisite IdeasGVC(ss)Power Series--Properties of Power SeriesPower SeriesCalculating Coefficients for a Power SeriesSGA30 minApproximating Functions with a Power Series30 minProperties of Power SeriesHomework dr(vector) Prerequisite IdeasGVC(ss)Curvilinear Coordinates--Coordinate ExpressionsScalar Line IntegralsGEM(ss)Curvilinear CoordinatesScalar Line IntegralIntegrating in Curvilinear Coordinates: Finding dA and dVSGAHomework Derivatives of Scalar Fiel… text/html 2017-05-04T13:26:18-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:mbpporder?rev=1493929578 PH 427 (Periodic Systems) Math Bits [Overall note from Paul for next year: find new SWBQ and activities, especially for Fourier Transform content, there is too much lecture here.] Unit: More Complex Numbers/Theta and Delta Functions Complex Numbers Prerequisite IdeasPowers and RootsHomework Theta and Delta Functions Prerequisite IdeasStep FunctionsTheta FunctionsDelta FunctionsPlane Wave NormalizationHomework Unit: More Fourier Fourier Transforms Prerequisite IdeasFourier TransformsFourie… text/html 2017-09-15T10:16:02-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:mbsporder?rev=1505495762 PH 425 (Quantum Fundamentals) Math Bits Unit: Matrices Matrix Manipulations (45 minutes) Prerequisite IdeasReview of matrix manipulationsHomework Unit: Complex Numbers Algebra of Complex Numbers (50 minutes) Prerequisite IdeasPolar CoordinatesForms of Complex NumbersAlgebra with Complex NumbersHomeworkFIXME Unit: Operators and Transformations in Linear Systems Introduction to Bra-ket notation (15 minutes) Prerequisite IdeasIntroduction to bra-ket notationFIXMEHomework Linear Transformations … text/html 2017-04-30T19:12:10-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:mbvforder?rev=1493604730 PH 422 (Vector Fields) Math Bits Power Series Basics Prerequisite IdeasGVC(ss)Power Series--Properties of Power SeriesPower SeriesCalculating Coefficients for a Power SeriesSGA30 minApproximating Functions with a Power Series30 minProperties of Power SeriesHomework dr(vector) Prerequisite IdeasGVC(ss)Curvilinear Coordinates--Coordinate ExpressionsScalar Line IntegralsGEM(ss)Curvilinear CoordinatesScalar Line IntegralIntegrating in Curvilinear Coordinates: Finding dA and dVSGAHomework Derivative… text/html 2018-01-29T12:31:58-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:mbwvorder?rev=1517257918 PH 424 (Oscillations and Waves) Math Bits Notes from Paul's implementation in 2018 winter are in square brackets. Unit 1: Fourier Series Day 1 (110 minutes) Prerequisite ideas Products of harmonic functions & projections-- Guessing the Fourier Expansion of a FunctionFourier coefficients Day 2 (50 minutes) Fourier coefficients of a piecewise periodic function Day 3 (50 minutes) Orthogonality Quiz-- Unit 2: Separation of Variables Day 4 (50 minutes) The (non-dispersive) wave equation & se… text/html 2016-10-23T17:28:44-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:mvorder?rev=1477268924 (old version) Introduction Warmup Prerequisite IdeasPretestSkills Test Representations of Multivariable Functions Pizza and ColaSurfacesSGASurfacesRepresentations of surfacesSurfacesContour MapsThe HeaterSGA-- Multiple Integrals Review of Single Variable Integration The CylinderSGAIntegrationChop, Multiply, and AddSingle IntegralsChocolate Double Integrals The ParkSGAThe CakeSGADouble IntegralsConstant limitsChop, Multiply, and AddThe TriangleSGAOrder of IntegrationReverse order of integrat… text/html 2015-08-08T16:29:00-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:mvorderold?rev=1439076540 Introduction Warmup Prerequisite IdeasPretestSkills TestDifferentiate Representations of Multivariable Functions SurfacesPizza and ColaRepresentations of surfacesSurfacesSGASurfacesContour MapsThe ParkSGAThe HeaterSGA Review Review of Single Variable Integration IntegrationChop, Multiply, and AddSingle IntegralsThe CylinderSGA Review of Differentiation Rules Skills testDerivative RulesDerivative Rules from DifferentialsDerivativeIntegrationThe CakeSGA Multiple Integrals Double Integrals Doubl… text/html 2015-08-08T12:31:15-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:osorder?rev=1439062275 Unit: The Period of a Pendulum (Potential energy diagrams and integrated lab) Potential energy diagrams (50 minutes) Prerequisite IdeasPotential energy diagramsEnergy Diagram AnalysisHomework Pendulum lab (50 minutes) Prerequisite IdeasPendulum LabHomework Pendulum period calculation (110 minutes) Prerequisite IdeasCalculation of Pendulum Period (Numerical Approach)Calculation of Pendulum Period (Power Series Approach)Homework Unit: Representing Harmonic Motion Real representations (30 minu… text/html 2015-08-08T12:36:45-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:pporder?rev=1439062605 Unit: Classical Mechanics Classic Harmonic Oscillator Prerequisite IdeasThe Pendulum System: Single PendulumHomework 2 Coupled Classical Harmonic Oscillator Prerequisite IdeasThe Pendulum System: Coupled PendulumsThe Pendulum System: Coupled PendulumHomework N-Coupled Classical Harmonic Oscillator Prerequisite IdeasMonotonic Chain SystemHomework Boundary Conditions and Discrete Wave Number Prerequisite IdeasImportant DefinitionEmulating Waves in a Periodic SystemHomework Dispersion Relations U… text/html 2012-09-12T10:52:51-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:pporderold?rev=1347472371 Course Project Journal Club Presentations Unit: Classical waves in periodic systems: the beaded string Introducing Periodic Systems (50 minutes) Prerequisite IdeasIdentifying Several Periodic SystemsPeriodic Systems in Different DimensionsCommon Phenomena in Periodic SystemsEmulating Waves in a Periodic SystemDefinitions of Important Terms for This UnitHomework 1-D Chain of Identical Atoms Prerequisite IdeasReview of Differential Equations in CircuitsSingle Simple Harmonic OscillatorTwo Coup… text/html 2016-07-28T09:30:00-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:prorder?rev=1469723400 Unit: Matrices and Vectors Matrix Manipulations (45 minutes) Prerequisite IdeasReview of matrix manipulationsHomework Introduction to Bra-ket notation (15 minutes) Prerequisite IdeasIntroduction to bra-ket notationFIXMEHomework Unit: Operators and Transformations in Linear Systems Linear Transformations (1 1/2 hr) Prerequisite IdeasLinear Transformations ActivityHomework Tangible Metaphor for Complex Vectors (10 minutes) Visualizing Complex Two Component Vectors Properties of Linear Vector Spa… text/html 2017-03-23T10:16:35-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:quantumfundamentals?rev=1490289395 Overview [Right now this is a potential shell structure for the new wiki page for the Quantum Fundamentals Paradigm (formerly Spins). In each unit, we would start with 2-4 overarching large-grained learning goals, which will either be expandable or be links to more detailed pages discussing the fine-grained learning goals that belong there and possibly provide a structure for jumping to activities throughout the course that are focused on a particular learning goal. The overview here will prov… text/html 2015-08-15T13:29:56-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:rforder?rev=1439670596 Unit: Rotating Reference Frames Reference Frames (40 minutes) OverviewInertial Frames Galilean Transformations Linear AccelerationSGA 2-D Rotations (110 minutes) Merry-Go-Round 2-d relative time derivatives Coriolis and Centrifugal AccelerationsSGAcan also be done as a kinesthetic activity Turntable HockeyLinear Motion 3-D Rotations (160 minutes) East is not East Rocket from the North PoleSGA 3-d relative time derivatives Earth Hockey ISGA Centrifugal and Coriolis forces Earth hocke… text/html 2015-08-15T14:52:21-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:sporder?rev=1439675541 Unit: Stern-Gerlach Experiments Historic Stern-Gerlach Experiment (70 minutes) Prerequisite IdeasIntroduction to the courseQuantum PostulatesDiscussion of Historic Stern-Gerlach ExperimentComponents of the SG ExperimentDiscussion of Intrinsic SpinHomeworkSupplemental Materials Probability and Statistics (30 minutes) Prerequisite IdeasIntroduction to statisticsDiceHomework Using Stern-Gerlach Observations to Build Quantum State Formalism (245 minutes) Prerequisite IdeasIntroduction to Stern Gerl… text/html 2017-01-25T13:03:04-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:spordercam?rev=1485378184 Unit: Introduction Classical Probabilities (50 minutes) FIXME This topic was originally part of Spins Lab 1. There are two problems with that lab. First, that students don't understand the mean as a weighted average. Second, that the effect of binning data is not clear. We are currently working on activities that address these problems. In the meantime, we ignored them for 15 years and you can safely do so also. text/html 2017-02-23T10:48:50-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:spordercam2?rev=1487875730 Unit: Introduction Classical Spin Two approaches are available to introduce the classical spin ideas. One approach, circular loop, is intended for students who had experienced with integral of abstract vectors. The other approach, rectangular loop, is intended for students who only had experienced with explicit vector components. If the time is in essence, quote the result from either approach. FIXME Move rectangular loop to homework, write course notes for students and include here for Ci… text/html 2017-01-31T14:10:35-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:spordercam3?rev=1485900635 Unit: Complex Numbers and Linear Algebra Note: This Unit does not appear in McIntyre's textbook. However, it is essential that students have a basic familiarity with complex numbers, including Euler's formula, and with linear algebra, including finding eigenvalues and eigenvectors. This Unit represents our approach to that content (7 class hours-10 class hours if you include all of the optional content.) text/html 2017-03-23T11:18:51-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:spordercamian?rev=1490293131 THIS IS A TEMPORARY PAGE THAT I [IAN FOUNDS] AM POPULATING WITH TOPICS, ACTIVITIES, SWBQS, AND HOMEWORKS PROVIDED BY DR. GIRE AND DR. EMIGH. CONTENTS OF THIS PAGE WILL LATER BE SORTED INTO THEIR CORRESPONDING COURSES (SPINS AND PRELUDE). From Dr. Gire Ket to MatrixKet to Matrix in New BasisProjection Operator in Dirac NotationOuter Products in Matrix NotationChanging Basis with Completeness in Dirac NotationWave Function and Probability Density ImplicationsDimensions of the Wave FunctionInterpr… text/html 2011-07-20T11:55:59-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:start?rev=1311188159 (The links below take you to detailed listings of the course contents only. The course home pages, which also contain a general description, can be found here.) Paradigms Courses Fall Symmetries and IdealizationsStatic Vector FieldsOscillations Winter PrefaceQuantum Measurements and SpinQuantum Measurements and Spin 2One-Dimensional WavesCentral Forces Spring Periodic PotentialsInterludeEnergy and EntropyEnergy and Entropy 2Reference Frames Capstone Courses Classical MechanicsElectricity & Mag… text/html 2015-08-15T12:47:20-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:syorder?rev=1439668040 Unit: Potentials from Discrete Sources Some nice review tutorials from Harvey Mudd College Potentials Prerequisite IdeasGVC(ss)Idealizations and SymmetriesGEM(ss)Electric Potential Fields conceptHomework Superposition This section can follow “The Distance Between Two Points” text/html 2011-07-28T16:43:10-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:syorder1?rev=1311896590 Unit: Electrostatic Potential of Point Charges Some nice review tutorials from Harvey Mudd College Potentials Prerequisite Ideas Introduction GEM(ss)GVC(ss)Idealizations and Symmetries "Write down the electrostatic potential due to a point charge"; write down the gravitational potential due to the earth. 10 min text/html 2019-04-02T17:08:41-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:vcorder?rev=1554250121 Introduction Vectors VectorsDot ProductLaw of CosinesWhich Way is North?SGA Differentials and Derivatives Differentials IDifferentials IIPolar CoordinatesSGACoordinatesCurvilinear CoordinatesSGAVector DifferentialsPolar Coordinates Surfaces SurfacesSGASurfacesRepresentations of surfacesSurfacesContour Maps Gradient and Directional Derivatives GradientProperties of the GradientThe HillSGADirectional DerivativesThe PuddleSGAVector Fields Polar and Curvilinear Coordinates The Area of a CirclePolar… text/html 2016-08-20T11:28:56-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:vforder?rev=1471717736 Unit: Gauss's Law Flux (20-50 minutes) Prerequisite IdeasGVC(ss)Flux--More Flux through a CubeRecall Flux5 minThe Concept of Flux5 minCalculating Flux--30 minVisualizing Electric Flux10 minFluxHomework Gauss's Law (120 minutes) Prerequisite IdeasGVC(ss)Gauss's Law and Symmetry--More Gauss's Law: Cylinders and SpheresGauss' Law -- the integral version30 minGauss' LawSGA90 minHomework Divergence (40 min) Prerequisite IdeasGVC(ss)Definition of Divergence--Divergence in Curvlinear CoordinatesVisua… text/html 2011-07-14T21:15:42-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:vforderold?rev=1310703342 Unit: Gauss's Law Flux (1+ hr) Prerequisite Ideas GVC(ss)FluxGVC(ss)Flux of the Electric FieldGVC(ss)Gauss's LawThe Concept of Flux“”“”Calculating FluxVisualizing Electric FluxGVC(ss)Flux through a CubeGVC(ss)More Flux through a CubeHomework Gauss's Law (2 hrs) Prerequisite Ideas text/html 2015-08-08T12:35:06-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:order:wvorder?rev=1439062506 Unit: Classical waves in non-dispersive systems: ropes and coaxial transmission lines This unit illustrates standing and traveling waves in the context of classical mechanics (waves in a rope) and classical electromagnetism (charge and voltage oscillations in a coaxial cable). The idea of a dispersion relation is introduced. Propagation, reflection and transmission at an abrupt boundary, superposition, attenuation, and energy are explored.