Mathematics 133
Notes from October 5, 2020, lecture session

The recording for the first lecture in this course is available online as 
 http://math.ucr.edu/~res/math133-2020/Oct05.mp4 
and the names for subsequent lectures will be indicated by their dates.   Please note that these files are quite large (generally between 500 MB and 1 GB), so downloading might take some time and there might be storage problems on your devices.
The purpose of this and subsequent files of the same type will be to summarize some things from the lecture.  There may be announcements, and there will be lists of files in the course directory which correspond to the material covered during the lecture.  
 Relevant directory files:
Here is a listing with comments on their significance.  These links are all clickable.
http://math.ucr.edu/~res/math133-2020/week0/summary.10.02.2020.rtf   This file contains important and basic information about the course.   This information should be read and understood thoroughly.
http://math.ucr.edu/~res/math133-2020/math133-topicsF20.pdf
http://math.ucr.edu/~res/math133-2020/math133-schduleF20.pdf
These files outline the content and pace of the course;  the second file also gives the dates for quizzes and exams.  Note that these will all be take-home assignments.   You may discuss issues related to these problems with other students, but your submission is expected to be your own work.  In particular, working on the specific problems will not be acceptable and will be subject to academic dishonesty consequences.  
For anyone who wishes to look ahead, there are copies of the notes in the directory http://math.ucr.edu/~res/math133-2018.   The next file is the first in the course notes.
http://math.ucr.edu/~res/math133-2020/week1/geometrynotes00.f20    This file discusses some general references related to this course.   The section titled Viewpoint of this course can be omitted for the time being.
https://math.ucr.edu/~res/math133-2020/week0/mathproofs.pdf https://math.ucr.edu/~res/math133-2020/week0/aabInternetresources.pdf  These are two files cited in the preceding file from the course notes.  Reading both is strongly recommended.  The first file summarizes the main types of mathematical proofs, with comments on their uses and descriptions of some common mistakes. The material and methods in this file are central to the structure of the course.

http://math.ucr.edu/~res/math133-2020/cross-references  This is a subfolder which shows how the material in the notes corresponds to the content of several previoius texts for the course.  It is included for reference purposes only.
http://math.ucr.edu/~res/math133-2020/week1/geometrynotes01.f13.pdf   The first chapter of the course notes.   The lecture covered everything through Section I.1.
https://math.ucr.edu/~res/math133-2020/week1/notation1.pdf  This file defines some notational conventions for number systems which will be used throughout the course.
https://math.ucr.edu/~res/math133-2020/week1/examples0105.pdf  The example of a geometric proof using vectors which was given in the lecture.
https://math.ucr.edu/~res/math133-2020/week1/vector-example.pdf  A somewhat more complicated example of the same type.  One consequence of the result in this document is a derivation of the parallelogram law for interpreting the addition of vectors geometrically.   The contents should be read and understood.
https://math.ucr.edu/~res/math133-2020/week1/distance-sums.pdf   This file contains the treatment of some material related to pages 5 – 6 in the notes (Equality in the Triangle Inequalities) and might be easier to follow than parts of the discussion in the notes.
https://math.ucr.edu/~res/math133-2020/solutions/math133solutions00.f17.pdf  General remarks about working the exercises in this course.  Assignments will be given starting with the week of October 12.

 Comments on subdirectories:
None of these are needed for the first lecture, but here are their roles in the course:
https://math.ucr.edu/~res/math133-2020/braintests/  Simple and in many cases whimsical exercises, included here in order to review and freshen logical deduction skills.

https://math.ucr.edu/~res/math133-2020/exercises/  The main sets of exercises for this course.  Other exercises will also be important, and all top priority problems (for which you are responsible to understand for the exams) will be cited in the individual homework assignment sheets which will be posted throughout the course.

https://math.ucr.edu/~res/math133-2020/solutions/  Solutions to exercises in the preceding subfolder, including drawings in some cases.   The solutions for other exercises will be cited in the individual homework assignment sheets.  

https://math.ucr.edu/~res/math133-2020/oldexams/  Copies of exams and quizes from previous versions of the course, with solutions included.