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Week 1 Week 2 Week 3 Week 4 Week 5 Topics/Activities Short introduction: Program outcomes “Reasonably good at …” Bookstore / Simply Einstein preface M Pythag. Thrm. Data – measuring, error Maps: Coordinate systems and dimensionality More detailed program overview Pre-assessment Parallel lines data WSum of angles data Maps: Transformations / distance formula Lecture: Special Relativity overview TbnO: What is geometry? MSimilar triangles Maps: Scaling Time rate of change TbnO: Book and feather Gravity, fields, and G W Velocity and acceleration Circles, tangents, inscribed triangles ObnT: Stars move! MWaves, wave speed, and wave equations Classical astronomical geometry TbnO: Electromagnetism and Maxwell's equations Michelson Morley? W Value & meaning of proof Congruence Proofs Exam 1 ObnT: It's noon! M Convention and synchronizing clocks Area proofs Readings to discuss SE: Preface Due Dates SE: 1-2 Flatland part 1 Musgrave Ritual Dancing Men ?Poincare response? Flatland response Weekly assessment SE: 3-4 Flatland part 2 Plato True part 1 Flatland response SE: 5-7 Einstein's clocks WLiberal Arts Forum TbnO: MTime dilation Pythag and sum of angles proofs TbnO: Half-life Meters of time; Seconds of space W Parallel postulate Proofs Reflections on axiomatic method SE: 8 Baskervilles Week 6 Week 7 Week 8 Week 9 Week 10 Topics/Activities TbnO: Why believe? Muons Length contraction M Pythagorean Theorem Proof TbnO: Why believe? Atomic clocks Twin paradox WEasy Pythagorean Proof Converse of Pythagorean Begin Taxicab Geometry TbnO: Why believe? GPS Spacetime Proving motion is impossible. M Proof of the existence of God Overview of non-Euclidean geometry Kant excerpt Exam 2 TbnO: Why believe? Accelerators W Hilbert, Frege, Russell Mathematical Philosophy TbnO: Hilbert Hotel-common notion 5. Simultaneity M Paradoxes, Set Theory, Diagonalization SETI TbnO: Koch Snowflake WSpacetime and simultaneity Goedel TbnO: Fixed Point Theorem MElsewhere Goedel Post-test WTbnO: Simpson’s Paradox Goedel and Turing Readings to discuss SE: 9, 13 Flatland annotations 1 True part 2 Flatland annotations 2 Bruce Partington Plans Excerpt from Math. Experience, part 1 SE: 10 Philosophy of math, part 2 Goedel’s Proof SE: 11, 12 Goedel's proof Goedel and Turing True part 3 Dying Detective MHoliday TbnO: WFinal Exam Due Dates
