{"id":109,"date":"2014-09-30T14:00:58","date_gmt":"2014-09-30T19:00:58","guid":{"rendered":"https:\/\/pages.stolaf.edu\/cederj\/?page_id=109"},"modified":"2015-08-05T16:27:59","modified_gmt":"2015-08-05T21:27:59","slug":"syllabus-for-math-356-jan-2007","status":"publish","type":"page","link":"https:\/\/pages.stolaf.edu\/cederj\/syllabus-for-math-356-jan-2007\/","title":{"rendered":"Syllabus for Math 356 (Jan. 2007)"},"content":{"rendered":"

Text:<\/strong>\u00a0 Cederberg,\u00a0A Course in Modern Geometries, 2nd Ed.<\/em><\/h3>\n

\u00a0Geometry References<\/a><\/h3>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Day<\/strong><\/td>\nMorning<\/strong><\/td>\nAfternoon<\/strong><\/td>\nAssignments<\/strong><\/td>\n<\/tr>\n
Tu. 2<\/td>\n1.1-1.2 Intro. to Axiom Systems<\/td>\nExploration 1<\/em>: Intro. to\u00a0Cabri<\/em>\u00a0& Video?<\/td>\n\n
    \n
  1. \u00a0Read 1.1-1.3;
    \n1.2<\/strong>: 1,2*,3*,4,5,7,8<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n
We. 3<\/td>\n1.3 Finite Projective Planes<\/td>\n2.1-2.2\u00a0Euclid’s Geometry,Exploration 2:\u00a0<\/em>Hyperbolic Geometry<\/td>\n2. Read 2.1-2.4
\n1.3: 4-6,8,15*,16, Exp. 2<\/td>\n<\/tr>\n
Th. 4<\/td>\n2.3-2.4 Hyperbolic Axiom, Sensed Parallels<\/td>\nProof writing in Geometry and Presentation Conferences<\/td>\n3. Read 2.5-2.6; 2.2:\u00a01, 2*, 3a (use Cabri); 2.4: 5*,6<\/td>\n<\/tr>\n
Fr. 5<\/td>\n2.5-2.6\u00a0 Asy. Triangle, Saccheri Quadrilaterals<\/td>\nProblem Session:\u00a0<\/em>Come prepared to present any problem assigned so far.<\/td>\n\u00a04. Read 2.7-2.8;
\n2.5: 2,3*,6; 2.6:\u00a01*,2,4,7,8<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n\u00a0<\/strong><\/td>\n<\/tr>\n
\n
    \n
  1. 8<\/li>\n<\/ol>\n<\/td>\n
2.7-2.8 Triangle Area, Ultraparallels<\/td>\n2.9 Elliptic Geometry<\/td>\n5. Read 2.9-3.2;
\n2.7:\u00a01,2,4,7; 2.8:\u00a04*,5*,6;<\/td>\n<\/tr>\n
Tu. 9<\/td>\n2.10, 3.1-3.2 Intro. to Symmetry<\/td>\n3.3-3.4 More Symmetry<\/td>\n6. Read 3.5-3.6
\nExp. 3, 3.3: 9,11-15,16*,17*<\/td>\n<\/tr>\n
We.10<\/td>\n3.5-3.6 Analytic Model<\/td>\nProblem Session<\/em><\/td>\n7. Read 3.7
\n3.5:\u00a01,5,6,14*,16
\n3.6:\u00a01,3*<\/td>\n<\/tr>\n
Th.11<\/td>\n3.7 Isometries<\/td>\n1st Take-Home Exam<\/strong><\/td>\nExam 1\u00a0<\/em><\/strong>\u00a0<\/em><\/td>\n<\/tr>\n
Fr. 12<\/td>\nOffice Hours<\/em><\/td>\nExam\u00a01 Due\u00a0<\/em><\/strong><\/td>\n8. Read 3.8
\n3.7:\u00a01*,3,5,6,8*<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
Mo.15<\/td>\n3.8 Direct Isometries<\/td>\nPresentations:\u00a0<\/em>(1) Early Geometry, (2) Development of Non-Euclidean Geometry<\/td>\n9. Read 3.9; 3.8:\u00a01,2,3,5*,7,13, 15*,16,18,21<\/td>\n<\/tr>\n
Tu.16<\/td>\n3.9 Indirect Isometries<\/td>\nPresentation<\/em>: (3) Paper Folding Geometry<\/td>\n10. Read 3.14; 3.9:\u00a01,2a,5,8*,9,11*(a&b),13<\/td>\n<\/tr>\n
We.17<\/td>\n3.14 3-D Isometries<\/td>\nPresentations:\u00a0<\/em>(4) Symmetry in Culture, (5)\u00a0<\/em>Frieze & Wall Patterns, Plane Tilings<\/td>\n11. Read 3.12-13<\/td>\n<\/tr>\n
Th.18<\/td>\n3.12-3.13 Similarities & Affinities<\/td>\nProblem Session<\/em><\/td>\n12. Read 5.1; 3.12: 2,7,12*
\n3.13:\u00a03,5,7,8,11*<\/td>\n<\/tr>\n
Fr.19<\/td>\n5.1 Intro. to Chaos<\/td>\nPresentation:<\/em>\u00a0(6) Dimension Four & More plus Demo of Cabri 3-D by Richard Allen<\/td>\n13. Read 5.2; 5.1:\u00a09-12<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n\u00a0<\/em><\/td>\n\u00a0<\/strong><\/td>\n<\/tr>\n
Mo.22<\/td>\n5.2 New Geometry<\/td>\nPresentation<\/em>: (7) Fractals in Culture<\/td>\n14. Read 5.3-5.4; 5.2: 1-5, 19, 21*<\/td>\n<\/tr>\n
Tu. 23<\/td>\n5.3-5.4 Dimension, IFS<\/td>\nOlafractal Exploration<\/td>\n15. Read 5.5-5.6
\n5.3:\u00a013*, 15*, 16, 18, 20,\u00a0 26-28a, 30, 31<\/td>\n<\/tr>\n
We.24<\/td>\n5.5 Fractals<\/td>\n\u00a0Problem Session<\/em><\/td>\n16. 5.4: 3,4,5,16,17<\/td>\n<\/tr>\n
Th.25<\/td>\nCatch-up & Review<\/td>\n2nd Take-Home Exam\u00a0<\/strong><\/td>\nExam 2\u00a0<\/em><\/strong>\u00a0<\/em><\/td>\n<\/tr>\n
Fr.26<\/td>\nOffice Hours<\/td>\nExam 2 Due<\/em><\/strong><\/td>\n<\/td>\n<\/tr>\n
Sa.27<\/td>\n10:30-12:30: In-class Essay Exam<\/em><\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

Text:\u00a0 Cederberg,\u00a0A Course in Modern Geometries, 2nd Ed. \u00a0Geometry References Day Morning Afternoon Assignments Tu. 2 1.1-1.2 Intro. to Axiom Systems Exploration 1: Intro. to\u00a0Cabri\u00a0& Video? \u00a0Read 1.1-1.3; 1.2: 1,2*,3*,4,5,7,8 We. 3 1.3 Finite Projective Planes 2.1-2.2\u00a0Euclid’s Geometry,Exploration 2:\u00a0Hyperbolic Geometry 2. Read 2.1-2.4 1.3: 4-6,8,15*,16, Exp. 2 Th. 4 2.3-2.4 Hyperbolic Axiom, Sensed Parallels Proof […]<\/p>\n","protected":false},"author":841,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-109","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages\/109","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/users\/841"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/comments?post=109"}],"version-history":[{"count":4,"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages\/109\/revisions"}],"predecessor-version":[{"id":275,"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages\/109\/revisions\/275"}],"wp:attachment":[{"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/media?parent=109"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}