http://sites.science.oregonstate.edu/portfolioswiki/ 2020-01-26T16:42:40-08:00 http://sites.science.oregonstate.edu/portfolioswiki/ http://sites.science.oregonstate.edu/portfolioswiki/lib/images/favicon.ico text/html 2019-07-22T11:56:34-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:sequences:emsequence:start?rev=1563821794&do=diff Ring Sequence: Chopping and Adding Students who are just beginning upper-division courses are being asked to simultaneously learn physics concepts, use mathematical processes in new ways, apply geometric reasoning, and use extended multi-step problem solving. Having students successfully deal with a problem such as finding the magnetic field in all space due to a spinning ring of charge is a significant challenge. If we are to avoid doing the thinking for them and creating a template they can … text/html 2019-07-22T11:43:02-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:sequences:start?rev=1563820982&do=diff Sequences are ~3 or more activities that are used together to explore a particular topic from several different viewpoints to allow students to explore how information and ideas tie together. E & M Sequences Curvilinear CoordinatesGeometry of Scalar FieldsRepresentations of Two-Dimensional Scalar FieldsGeometry of Vector Fields:Superposition of Electrostatic Potentials due to Point Charges text/html 2019-07-22T07:12:39-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:sequences:curvcoordsseq?rev=1563804759&do=diff Curvilinear Coordinates This sequence introduces cylindrical and spherical coordinate systems. While middle-division students may have been introduced to the cylindrical and spherical coordinates themselves, in a multivariable calculus course, they have almost certainly NOT been introduced to the basis vectors such as $\hat{r}$, $\hat{\theta}$, etc. that are adapted to them. text/html 2019-07-22T06:58:36-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:sequences:scalarfieldseq?rev=1563803916&do=diff The Geometry of Scalar Fields This sequence introduces various representations of scalar fields in the context of electrostatic potentials. While middle-division students have lots of experience with representations of functions of a single independent variable, many still need help with visualizing functions of two (or especially three) independent variables. This sequence introduces: equipotential curves and surfaces (contour plots), tangible dry-erasable plastic surfaces, computer-generate… text/html 2019-07-21T09:00:21-08:00 Paul Emigh http://sites.science.oregonstate.edu/portfolioswiki/publications:start?rev=1563724821&do=diff Textbooks (See our textbook page.) The Paradigms Project ([Paradigms BiBTeX file]) [Paradigms in Physics 2.0]PER-Central listing[Paradigms in Physics: Restructuring the Upper Level]56--Copyright NoticePhysics Today listing[Paradigms in Physics: A New Upper-Division Curriculum]69--Copyright NoticeAJP listing Scientific Aspects of the Paradigms Project ([Paradigms BiBTeX file]) text/html 2019-06-20T22:20:41-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/topic:quantum?rev=1561094441&do=diff Quantum Activities sample syllabussequence activitiesParadigms in Physics:Quantum Mechanicsorganized by textbook chapter Operators Projection Operators Matrix Representation of Spin Operators Operators and Functions Eigenstates Eigenstates of a Particle Confined to a Ring Guessing the Legendre Polynomial Expansion of a Function Finding Legendre Coefficients Harmonic Oscillator Basis States Probability Densities Particle Confined to a Ring Particle Confined to a Sphere Linear Combina… text/html 2019-06-03T14:24:05-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:vflec:vfcrosstriple?rev=1559597045&do=diff Lecture (20 minutes) Note: Different students likely have different ways of using the determinate of a matrix to perform a cross product; consider allowing them to use whatever method they are comfortable with but make sure student's who are not comfortable with determinates are not left behind. text/html 2019-06-03T14:23:45-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:vforder20:vfintegrating?rev=1559597025&do=diff GVC(ss)Total Charge of a Shell--More Total Charge of a ShellTotal Charge of a Cube--More Total Charge of a CubeGEM(ss) In-class Content Defining the Cross ProductCross products and scalar triple productsIntegrating in Curvilinear Coordinates: Finding dA and dVSGATotal ChargeSGAActing Out Charge Densities text/html 2019-06-03T14:18:43-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:vforder20:vfcurrent?rev=1559596723&do=diff GVC(ss)Currents In-class Content Acting Out Current DensityNote:10 min text/html 2019-06-03T14:17:56-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:vforder20:vfmagnetic?rev=1559596676&do=diff GVC(ss)Derivation of the Biot Savart Law from Magnetic Vector Potential--Compare A and B for a Spinning Ring In-class Content Magnetic Field Due to a Spinning Ring of ChargeSGAoptionalNote: text/html 2019-06-03T14:16:53-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:vforder20:vfconservative?rev=1559596613&do=diff In-class Content Counting PathsSGAIs curl freeNote:WorkSGA Optional In-class Content Murder Mystery MethodSGAMath 3.5: Independence of PathMath 3.6: Conservative Vector FieldsMath 3.7: Finding Potential Functions text/html 2019-06-03T14:06:44-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:vforder20:vfgradient?rev=1559596004&do=diff FIXME In-class Content SGAActing Out the GradientVisualizing Gradient Optional In-class content Navigating a HillSGA text/html 2019-06-03T14:05:06-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:sylec:drintro?rev=1559595906&do=diff Introducing $d\Vec{r}$ (5 minutes) Draw pictures of $\Vec{r}$ and $\Vec{r}$ + $d\Vec{r}$. Student Conversations from Spring 2019 Find $d\Vec r$ in rectangular coords. text/html 2019-06-03T13:54:00-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:sylec:seriesplus?rev=1559595240&do=diff Introduction to Power Series (15 minutes) approximate...order Properties of Power Series (15 minutes) uniqueIfFIXME text/html 2019-06-03T13:44:48-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/activities:guides:vfactinggrad?rev=1559594688&do=diff Navigate back to the activity. Acting Out The Gradient: Instructor's Guide Main Ideas “” Students' Task Estimated Time: 5-10 minutes Prerequisite Knowledge A rudimentary understanding how a gradient acts on a scalar field. Props/Equipment Activity: Introduction If the instructor stands on a chair or table in the center of the room. The top of the hill would be above the instructor's head. If this is not an easy thing to do, pick a point or student in the center of the room. De… text/html 2019-06-03T13:37:20-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/activities:guides:vfering?rev=1559594240&do=diff Navigate back to the activity. Electric Field Due to a Charged Ring: Instructor's Guide Main Ideas “” Students' Task Estimated Time: 40 min; Wrap-up: 10 min “” Prerequisite Knowledge This activity is may be used as a part of the Ring Sequence, following the activity, or may be used on its own. Students will need understanding of: text/html 2019-06-03T13:18:59-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/activities:guides:vfvring?rev=1559593139&do=diff Navigate back to the activity. Electrostatic Potential Due to a Charged Ring: Instructor's Guide Main Ideas ~“” Students' Task Estimated Time: 40 min; Wrap-up: 10 min “” Prerequisite Knowledge This activity is may be used as the second in the Ring Sequence, following the activity, or may be used on its own. Students will need understanding of: text/html 2019-05-30T08:08:16-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:vforder20:vfcalculating?rev=1559228896&do=diff GVC(ss)Potentials from Continuous Charge Distributions--Potential Due to an Infinite Line of Charge In-class Content Lecture: Electric Potential Students may be familiar with the iconic equation for the electric potential (due to a point charge): $$\text{Iconic:} \qquad V=\frac{1}{4 \pi \epsilon_0} \frac{Q}{r}$$ With information about the type of source distribution, one can write or select the appropriate coordinate independent equation for $V$. For example, if the source is a line of charge… text/html 2019-04-17T13:44:45-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:vforder20?rev=1555533885&do=diff Unit: Potentials from Discrete Sources Some nice review tutorials from Harvey Mudd College Hour 1: Electric Potential Hours 2-3: Potential Due to Point Charges Small Group Activity: Visualizing Equipotential SurfacesHour 4: Power Series Small Group Activity: Calculating Coefficients for a Power SeriesHour 5: The Distance between Two Points Kinesthetic Activity: Star TrekHour 6: Two Point Charges Small Group Activity: Electric Potential for 2 Point Charges (with Power Series)Hour 7: Differenti… text/html 2019-03-22T11:30:10-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eembdiff?rev=1553279410&do=diff In-class Content Lecture: Differentials of 1D Functions (Lec - 20 min) Main ideas Lecture (30 minutes) Ask students to make a sketch of f = 7x2 on the big white board. What are the variables of interest? One idea here is to note that x is not the only variable here: f is also a variable from a physics perspective. text/html 2019-03-20T14:31:57-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:flux?rev=1553117517&do=diff Make sure to compare standard mathematics treatment (which definitely uses partial derivatives) to our vector differential version. What does Griffiths do? text/html 2019-03-20T14:30:54-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:2019?rev=1553117454&do=diff Derivatives & Their RepresentationsDifferentialsThe Vector Differential ($d\rr$)The Master FormulaGradientFluxDivergence & CurlPartial Derivatives in ThermodynamicsUse What You Know! text/html 2019-03-13T17:46:05-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/strategy:start?rev=1552524365&do=diff One reason that lecturing remains ubiquitous in middle division and upper division courses, despite mounting evidence that students learn more when they are active participants in the classroom, is that it is not immediately clear how to implement interactivity in these more advanced courses. Middle-division and upper-division courses differ from introductory courses in that the course goals tend to be richer, the course content more complicated, the students more seasoned, and class sizes small… text/html 2019-02-04T16:52:48-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/new:1836604?rev=1549327968&do=diff NSF Proposal Summary DUE-1836604 1/19--12/20; $299,282 PARADIGMS IN PHYSICS: REPRESENTATIONS IN QUANTUM MECHANICS Elizabeth Gire, Tevian Dray, Corinne A. Manogue, & David Roundy Overview In 1996, the Paradigms in Physics Project at Oregon State University reformed the entire upper-division curriculum for physics majors. This reform involved both a rearrangement of content to better reflect the way professional physicists think about the field and also the infusion of a number of evi… text/html 2019-02-04T16:50:26-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/new:1836603?rev=1549327826&do=diff NSF Proposal Summary DUE-1836603 1/19--12/20; $298,984 PARADIGMS IN PHYSICS: REPRESENTATIONS OF PARTIAL DERIVATIVES David Roundy, Tevian Dray, Elizabeth Gire, & Corinne A. Manogue, Overview In 1996, the Paradigms in Physics Project at Oregon State University reformed the entire upper-division curriculum for physics majors. This reform involved both a rearrangement of content to better reflect the way professional physicists think about the field and also the infusion of a number of… text/html 2019-02-04T16:40:36-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/new:overview?rev=1549327236&do=diff Paradigms in Physics Below are the proposal summaries from the many grants that have funded the Paradigms in Physics project. Representations in Quantum Mechanics ---------- Second Generation Dissemination Strategies ---------- Partial Derivatives text/html 2019-01-30T14:57:35-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/courses:hw:pphw:pphwmbdiagonal?rev=1548889055&do=diff Homework for Periodic Systems text/html 2019-01-30T14:55:38-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:mbpporder20?rev=1548888938&do=diff 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 DELETE THIS SECTION BEGINNING 2019 text/html 2019-01-30T13:04:11-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/courses:hw:pphw:pphwmbfouriertransform?rev=1548882251&do=diff Homework for Periodic Systems text/html 2019-01-30T12:59:11-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/courses:hw:pphw:pphwmbunitary?rev=1548881951&do=diff Homework for Periodic Systems text/html 2019-01-30T11:15:33-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/courses:hw:pphw:pphwmbhermitianmatrices?rev=1548875733&do=diff Homework for Periodic Systems text/html 2019-01-30T11:12:04-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/courses:hw:pphw:pphwmbthetadelta?rev=1548875524&do=diff Homework for Periodic Systems text/html 2019-01-30T11:11:21-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/courses:hw:pphw:pphwmbcomplexnumbers?rev=1548875481&do=diff Homework for Periodic Systems text/html 2019-01-25T19:53:24-08:00 Jonathan Alfson http://sites.science.oregonstate.edu/portfolioswiki/activities:guides:vfsurfchargedsphere?rev=1548474804&do=diff Navigate back to the activity. Charged Sphere: Instructor's Guide Main Ideas Students' Task Estimated Time: 35-45 min. Prerequisite Knowledge Props/Equipment Activity: Introduction Activity: Student Conversations Activity: Wrap-up Extensions text/html 2019-01-25T19:36:51-08:00 Jonathan Alfson http://sites.science.oregonstate.edu/portfolioswiki/activities:content:highlights:vfsurfchargedsphere?rev=1548473811&do=diff (Estimated time: 35-45 minutes with wrap-up discussion.) Students text/html 2019-01-25T12:23:20-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/activities:content:keywords:vfsurfchargedsphere?rev=1548447800&do=diff Electric Potential, Electric Field, Contour Map, Surfaces text/html 2019-01-25T12:21:43-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/activities:content:authors:vfsurfworkefield?rev=1548447703&do=diff Liz Gire, Aaron Wangberg, Robyn Wangberg, Paul Emigh, Jonathan Alfson text/html 2019-01-25T12:21:15-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/activities:content:reasons:vfsurfworkefield?rev=1548447675&do=diff “”decrease text/html 2019-01-25T12:19:36-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/activities:content:highlights:vfsurfworkefield?rev=1548447576&do=diff text/html 2019-01-25T12:17:20-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/activities:content:keywords:vfsurfworkefield?rev=1548447440&do=diff E&M, Vector Line Integrals, Surfaces, Vector Field Map text/html 2019-01-25T12:13:52-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/activities:content:authors:vfsurfequisurfaces?rev=1548447232&do=diff Liz Gire, Aaron Wangberg, Robyn Wangberg, Paul Emigh, Jonathan Alfson, Corinne Manogue text/html 2019-01-25T12:13:15-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/activities:content:reasons:vfsurfequisurfaces?rev=1548447195&do=diff text/html 2019-01-25T12:11:22-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/activities:content:highlights:vfsurfequisurfaces?rev=1548447082&do=diff text/html 2019-01-25T12:09:29-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/activities:content:keywords:vfsurfequisurfaces?rev=1548446969&do=diff E&M, Upper-Division, Electric Potential, Surfaces, Contour Plot, Visualization text/html 2019-01-25T11:09:16-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/strategy:surfaces:list?rev=1548443356&do=diff E&M Surface Activities Equipotential SurfacesWork and Electric FieldNumber of PathsCharged Sphere Mechanics Surface Activities Thermo Surface Activities Heat CapacityThermodynamic StatesCovariationQuantifying ChangeSquishability of Water VaporDerivatives of Internal Energy Multivariable Calculus Surface Activities For many high quality activities, see the Raising Calculus to the Surface project website. text/html 2019-01-24T11:41:37-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/activities:guides:vfsurfnumpaths?rev=1548358897&do=diff Navigate back to the activity. Activity Name: Instructor's Guide Main Ideas Students' Task Estimated Time: Prerequisite Knowledge Props/Equipment Tabletop WhiteboardVector Maps & SleevesPlastic Graph Models (Surfaces): Quadrupole z=0 Activity: Introduction Activity: Student Conversations Activity: Wrap-up Extensions text/html 2019-01-24T11:41:12-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/activities:guides:vfsurfworkefield?rev=1548358872&do=diff Navigate back to the activity. Activity Name: Instructor's Guide Main Ideas Students' Task Estimated Time: Prerequisite Knowledge Props/Equipment Tabletop WhiteboardVector Maps & Plastic SleevesPlastic Graph Models (Surfaces): Quadrupole z=0 Activity: Introduction Activity: Student Conversations Activity: Wrap-up Extensions text/html 2019-01-24T11:40:57-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/activities:guides:vfsurfequisurfaces?rev=1548358857&do=diff Navigate back to the activity. Activity Name: Instructor's Guide Main Ideas Students' Task Estimated Time: Prerequisite Knowledge Props/Equipment Tabletop WhiteboardVector Maps & Plastic SleevesPlastic Graph Models (Surfaces): Quadrupole z=0 Activity: Introduction Activity: Student Conversations Activity: Wrap-up Extensions text/html 2018-11-15T08:52:43-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/activities:guides:eembpdmlegendretransforms?rev=1542300763&do=diff Navigate back to the activity. Legendre Transforms on the PDM: Instructor's Guide Main Ideas Students' Task Estimated Time: 20 minutes Prerequisite Knowledge FIXME Props/Equipment Tabletop Whiteboard Partial Derivative Machine Activity: Introduction text/html 2018-11-13T07:53:13-08:00 Mike Vignal http://sites.science.oregonstate.edu/portfolioswiki/activities:guides:eembelevator?rev=1542124393&do=diff Navigate back to the activity. Cat Elevator: Instructor's Guide Main Ideas Students' Task Estimated Time: 30 min Prerequisite Knowledge Students should already be familiar with the Partial Derivative Machine and the vocabulary allowing them to translate between the PDM and thermodynamic systems. Students should be able to identify work as area under a curve with the proper variables graphed! text/html 2018-10-21T18:15:02-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/courses:hw20:eehw:eembvarrep?rev=1540170902&do=diff Homework for Energy and Entropy Categorize extensive and intensive variables for a 1-D system Translate from one contour diagram to another. text/html 2018-10-21T18:08:38-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/courses:hw20:eehw:eembderivatives?rev=1540170518&do=diff Homework for Energy and Entropy Use Tree Diagrams to find chain rules. Check cyclic chain rule for realistic equation of state Use chain rules to solve physics problem text/html 2018-10-21T17:22:20-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eembderivatives?rev=1540167740&do=diff In-class Content Activity: Calculating a Total Differential Link to Calculating a Total Differential Activity Activity Highlights Activity: Upside Down Derivatives Link to Upside Down Derivatives Activity Activity Highlights Activity: Cyclic Chain Rule Link to Cyclic Chain Rule Activity text/html 2018-10-21T16:53:49-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/courses:hw20:eehw:eembdiff?rev=1540166029&do=diff Homework for Energy and Entropy Find the differential of special functions. Finding the differential abstractly. Find the differential of special functions. Plot contours, Change of Variable. A thermo-like system. Requires Clairaut's theorem. text/html 2018-10-21T07:06:47-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/activities:content:highlights:eesurfstates?rev=1540130807&do=diff text/html 2018-10-20T21:41:54-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eembenergy?rev=1540096914&do=diff In-class Content Potential Energy of an Elastic SystemSGALots of Ways to Change a StateQuantifying Change in Thermal SystemsSGA Alternate In-class Content Internal Energy of the "Partial Derivative Machine" text/html 2018-10-20T21:41:02-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eembanalogy?rev=1540096862&do=diff In-class Content Lecture: PDM Dictionary (25 minutes) Consider a canonical thermodynamic system that consists of a gas in a cylinder with a moveable piston. Help me draw a picture on the board. SWBQ: On your small whiteboard, tell me a quantity you can measure for this system. text/html 2018-10-20T21:40:11-08:00 Corinne Manogue http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eembvarrep?rev=1540096811&do=diff In-class Content Activity: PDM Variables Link to PDM Variables Activity Activity Highlights Lecture: Contour Graphs of PDM Variables (25 minutes) Fix $x_R$ and make a graph of $x_L$ vs. $F_L$. (Don't let students be too precise.) Repeat for 3 different fixed values of $x_R$ and graph them all on the same set of axes. (Make sure students have explored enough of parameter space to see the nonlinearity.) text/html 2018-10-18T10:03:12-08:00 Elizabeth Gire http://sites.science.oregonstate.edu/portfolioswiki/activities:guides:spqmevolution?rev=1539882192&do=diff Navigate back to the activity. Quantum Time Evolution: Instructor's Guide Main Ideas Students' Task Estimated Time: 20 min Students work in groups to solve for the time dependence of two quantum particles under the influence of a Hamiltonian. Students find the time dependence of the particles' states and some measurement probabilities.