===== Vectors ===== Here is a {{workshops:colombia10:Colombia10Vectors.ppt|link to the powerpoint presentation}} from this session. ---- Some content from Dra. Manogue's main talk on Monday which is relevant to today's topic. First, a section on [[bb>book:math:coords|Curvilinear Coordinates]] from our online textbook. In class, you might want to show the figures from this textbook when you introduce this topic. The following article discusses different conventions for spherical coordinates: * Tevian Dray and Corinne A. Manogue, //[[http://www.math.oregonstate.edu/bridge/papers/spherical.pdf|Spherical Coordinates]]//, College Mathematics Journal 34, 168-169 (2003). A kinesthetic activity on curvilinear basis vectors will confirm your students' understanding. * Curvilinear Basis Vectors (mention vector fields, coulomb field) * GVC (ss) [[bb>book:math:basisvectors|Basis Vectors]] * GVC (ss) [[bb>book:math:basisvectorshint|More Basis Vectors]] ---- The content from the workshop on 5 October 2010: We started with a small white board question on representations of vectors: * Representations of Vectors * A useful reference may be the section on[[bb>book:math:vectors|Vectors]] from our online text on the //Geometry of Vector Calculus//. Then a small whiteboard question on the dot product: * Dot Product * A useful reference may be the section on [[bb>book:math:dot|The Dot Product]] from our online text //on the Geometry of Vector Calculus//. The following paper may be a helpful resource about the dot product: * Tevian Dray and Corinne A. Manogue, //The Geometry of the Dot and Cross Products// ([[http://www.math.oregonstate.edu/bridge/mathml/dot+cross.xml|MathML version]])([[http://www.joma.org/?pa=content&sa=viewDocument&nodeId=1156|published version]]), JOMA 6, (June 2006). The we ended with a Compare and Contrast Activity about plane waves: * Plane Waves ---- You might want to follow up with some Visualization activities in Maple: * Visualizing Electromagnetic Plane Waves You might also want to follow up with this Compare and Contrast activity, either in class, or for homework: * Comparing Representations of Plane Waves