{{page>book:macros:header}} ==== Changes to the Book as a whole ==== The later chapters for the [[toc:symmetries:|Symmetries table of contents]] do not exist. We should surely have a section or sections that record the formulas that are on the inside front cover of Griffiths. This should be nicely formatted when printed. Sections like [[book:math:laplacian|Laplacian]] should link to it. \\\\ //TD: This section exists in the guide! See [[book:guide:divgradcurl]].// Consider whether some sections (such as the [[book:physics:intro|introduction]]) should occur outside of units devoted to individual courses. Are separate introductions to the courses and/or a separate introduction to the book needed? Use a consistent voice: "Physicists/Scientists/Mathematicians/Professionals", "you" (for students), "we" (for either authors alone or authors and readers). Construct framework for homework Construct framework for parallel Maple/Mathematica Decide how to number figures (and equations?) Choose format(s) for figures -- all boxed? not boxed when full line? don't use full line figures? ==== New Sections Needed ==== Description of "chopping and adding", emphasizing the relationship between chopping in all directions (surface and volume elements) and chopping in some directions only due to symmetry (e.g. surfaces of revolution). ==== Symmetries ==== === Unit 1: Point Charges === [[book:physics:intro|Introduction]] * Add a paragraph discussing our philosophy about geometric reasoning. //~~Drafted (TD)// [[book:physics:dimensions|Dimensions]] * Add easy hw ** consider moving the last paragraph on special functions to somewhere in the power series unit. \\\\ (Already done in [[book:math:seriesdimension]] --- so consider removing from here.) [[book:math:vectors]] * Consider switching from $\ihat$ etc to $\xhat$ etc, taking into account that this section lives in the math book. * Add expert remark about bases and the history of quaternions * Change $\aa$ to $\ww$. //~~Done (TD)// [[book:math:dot]] * Add expert remark on orthogonality of zero vector. //~~Added as footnote (TD)// * Add expert remark on linearity. //~~Added as footnote (TD)// ** Fix "This" is a useful strategy; add relevant hw problem? //~~Partially done (TD)// * Make Law of Cosines a separate section (and expand proof?) //~~Partially done; good enough? (TD)// * Turn cube question into hw problem [[book:physics:potentials]] major rewrite needed (CAM) [[book:physics:scalarfields]] discuss so as to ensure OK for both math and physics [[book:math:mapleintro]] update for Mathematica! [[book:physics:visv]] * Needs figures: fns of 1,2 variables //Done (TD)// [[book:physics:position]] * Redo figure: $\rr$ points the wrong way, and needs angle $\gamma$ //~~Partially done (TD)// * Number equations * Expand comment about Law of Cosines and make it an expert remark [[book:physics:superposition]] rewrite (CAM) Create [[book:physics:vpoints2hint]] (and correct toc) === Unit 2: Power Series === [[book:math:powertheory]] * Decide which function to use [[book:math:powerapproxhint]] * Figure needs to be in color (and clarify which is which in caption) * Consider adding a discussion of series not expanded at origin [[book:math:powermemorize]] * Add expert remark about the $\Gamma$ function [[book:math:convergence]] * Needs simple and expert version; current version is neither [[book:math:seriesthms]] * Don't just number; use "Theorem 1", etc. [[book:physics:vpoints]] * In Portfolios Wiki, ensure dipole activity split in two, as here. === Unit 3: Continuous Charges === [[book:math:intreview]] * Add this section to toc ( (ss)10.5? ) === Unit 4: Potentials === === Unit 5: Electric Fields === === Unit 6: Electrostatic Energy === === Unit 7: Review === ==== Static Vector Fields ==== === Unit 1: Gauss's Law === === Unit 2: Current and Magnetic Fields === === Unit 3: Ampere's Law === [[book:math:stokes|Stokes' theorem and/or Ampere's law]] (or maybe in the physics section somewhere, or both (yeah wikis!)). Add a regular problem, using Stokes' theorem (i.e. Ampere's law) on a thick cylindrical wire. Add challenge problems, using Stokes' theorem (i.e. Ampere's law) on a thin wire (the limit of the previous problem with delta functions), an open cylinder, and a Moebius strip. What do these problems tell you about the necessary conditions for Stokes' theorem to be true? === Unit 4: Conductors and Boundary Conditions === === Unit 5: Conservative Fields and Energy === (Many of these are actually from Derivatives section of Math Book.) [[book:math:rules|Product Rules]] Add some comments about what possible things del can do. Add a comment about how these rule might be proved. Add a deep link to actual proofs? [[book:math:parts|Integration by Parts]] Expand. Add a diagram showing a volume and a surface. Add words showing the geometry of the "surface" term. [[book:physics:energy|Electrostatic Energy]] Fix wikitex, check if this section needs expansion/clarification. [[book:math:mmm|Murder Mystery Method]] How do we want to handle the curl test? Where should a discussion of this go? How should the wiki links work for multiple routes through the book? [[book:physics:find|Finding Potential Functions]] Does this section have the right physics examples? [[book:math:second|Second Derivatives]] Add diagrams!!!! [[book:physics:second2|Second Derivatives and Maxwell's equations]] Expand and clarify this section === Unit 6: Review ===