%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% This is the record of changes to files in the directory math.ucr.edu/~res/math138A %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +++++++++++++++++++++++++++ FRIDAY, JANUARY 6, 2006 +++++++++++++++++++++++++++ At the beginning of the quarter the directory contained the following files: aaaLOGFILE The file that is now open and being read. aaaREADME Statement that files are only to be used for UCR purposes. general138A.pdf general138A.ps General information about the course, including contact information, dates of examinations, grading policy for the course, and so on. dgnotes2006a.pdf dgnotes2006a.ps First part of the lecture notes for the course. As the course progresses additional sections will be added. outline2006.pdf outline2006.ps Outline of the sections of the course and lecture notes, with references to the text by O'Neill (but not every section has a reference to the text) dgexercises2006a.pdf dgexercises2006a.ps First part of the homework exercises for the course. As the course progresses additional sections will be added. dgcontents2006a.pdf dgcontents2006a.ps Table of contents for those portions of the notes that were posted on this date. +++++++++++++++++++++++++++ MONDAY, JANUARY 9, 2006 +++++++++++++++++++++++++++ The following files were added: dgnotes2006aa.pdf dgnotes2006aa.ps Clarifications and misprint corrections for pages 7 and 8. +++++++++++++++++++++++++++ FRIDAY, JANUARY 20, 2006 +++++++++++++++++++++++++++ The following files were added: frenetnote.pdf frenetnote.ps More details for the proof that solutions to the Frenet-Serret differential equations determine orthonormal vectors. +++++++++++++++++++++++++++ TUESDAY, JANUARY 24, 2006 +++++++++++++++++++++++++++ The following files were added: frenetnote.dvi Another version of the file frenetnote.* that might be better for use with some computer systems. helix.dvi helix.pdf helix.ps +++++++++++++++++++++++++++ WEDNESDAY, JANUARY 25, 2006 +++++++++++++++++++++++++++ The following files were added: dgnotes2006b.dvi dgnotes2006b.pdf dgnotes2006b.ps Lecture notes with Unit III added and a few corrections noted in the next document. changes1.dvi changes1.pdf changes1.ps Three corrections and additions to Units I and II of the lecture notes. math138Aupdate1.dvi math138Aupdate1.pdf math138Aupdate1.ps Revised information on dates for examinations and quizzes. dgexercises2006b.dvi dgexercises2006b.pdf dgexercises2006b.ps Exercises for Unit III have been added to the previous version. dgcontents2006b.dvi dgcontents2006b.pdf dgcontents2006b.ps Page numbers for Unit III in the lecture notes have been added to the previous version. +++++++++++++++++++++++++++ THURSDAY, FEBRUARY 2, 2006 +++++++++++++++++++++++++++ The following files were added: math138Aexam1.dvi math138Aexam1.pdf math138Aexam1.ps The first (take home) examination. exam1figures.doc exam1figures.pdf exam1figures.ps Illustrations to accompany the preceding document. Note that the first file is a Microsoft Word version and is has slightly better picture quality. furthertopics.dvi furthertopics.pdf furthertopics.ps Notes on some further topics that will not be covered in this course (there is a reference to this document at the beginning of Unit III). If Mathematics 138B is offered in Spring 2006, some version of this material might be covered in that course. dgnotes2006.dvi dgnotes2006.pdf dgnotes2006.ps Full version of the course lecture notes, with Unit IV added to the previous version. dgexercises2006.dvi dgexercises2006.pdf dgexercises2006.ps Full version of the exercises, with material for Unit IV added to the previous version. dgcontents2006.dvi dgcontents2006.pdf dgcontents2006.ps Completed table of contents with page numbers added for Unit IV. +++++++++++++++++++++++++++ MONDAY, FEBRUARY 6, 2006 +++++++++++++++++++++++++++ The following files were added: exam1-footnote.dvi exam1-footnote.pdf exam1-footnote.ps Statement of a formula mentioned in the lectures that is needed to work one of the problems on the first examination. rigidmotions.dvi rigidmotions.pdf rigidmotions.ps Explanation of some comments in the lecturs about the physical interpretation of strong congruence. +++++++++++++++++++++++++++ MONDAY, FEBRUARY 13, 2006 +++++++++++++++++++++++++++ The following files were added: hyperbolic1.dvi hyperbolic1.pdf hyperbolic1.ps Further information on the interpretation of non-Euclidean geometry using ideas from differential geometry. hyperbolic2.dvi hyperbolic2.pdf hyperbolic2.ps Still further discussion of the same topic, but involving material not covered in the course but only in the notes furthertopics.* in this directory (q.v.). +++++++++++++++++++++++++++ WEDNESDAY, FEBRUARY 15, 2006 +++++++++++++++++++++++++++ The following files were added: solutions1.dvi solutions1.pdf solutions1.ps Solutions to the first examination. +++++++++++++++++++++++++++ TUESDAY, FEBRUARY 21, 2006 +++++++++++++++++++++++++++ The following files were added: math138Aexam2.dvi math138Aexam2.pdf math138Aexam2.ps The second (take home) examination. +++++++++++++++++++++++++++ TUESDAY, FEBRUARY 28, 2006 +++++++++++++++++++++++++++ The following files were added: shape.dvi shape.pdf shape.ps A more detailed description of the shape operator and its relation to the Second Fundamental Form. +++++++++++++++++++++++++++ TUESDAY, MARCH 7, 2006 +++++++++++++++++++++++++++ The following files were added: footnote-IV-5.dvi footnote-IV-5.pdf footnote-IV-5.ps Some further details for a few topics in Section IV.5 and corrections to a few typographical errors. +++++++++++++++++++++++++++ WEDNESDAY, MARCH 8, 2006 +++++++++++++++++++++++++++ The following files were added: math138Aexam3a.dvi math138Aexam3a.pdf math138Aexam3a.ps The first (take home) portion of the final exam for the course. +++++++++++++++++++++++++++ FRIDAY, MARCH 10, 2006 +++++++++++++++++++++++++++ The following files were added: solutions2.dvi solutions2.pdf solutions2.ps Solutions to the problems on the second examination. +++++++++++++++++++++++++++ MONDAY, MARCH 13, 2006 +++++++++++++++++++++++++++ The following files were added: greatcircles.dvi greatcircles.pdf greatcircles.ps Outline of a relatively elementary proof that the shortest curve on a sphere joining two points is a great circle arc. ======================================================== =====================END==OF==FILE====================== ========================================================