Last update 17dec14

Syllabus FA14
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\maketitle

"refresh".) Note the date it was last revised. To optimize your sucess
in this course, read over the lesson scheduled for a specific date
in class. You will receive "class participation credit" for being prepared
for the day's lesson.  The convention is that "F8" means "Friday of Week 8".
Thus M1 denotes the first class of the course.

Note:
In the fall of 2014 this course was returned to being taught in a regular
classroom without the customary IT available previously during class. So there
are no scheduled labs until facilities large enough to hold the class
can be found. Therefore, you will have to do many of the lab at home
on your own computer, using software available to you online or
downloaded from the web. Check the last update on each lesson, and if in doubt,
ask on the Moodle whether the lesson is automatically modified by the
absence of computers in the classroom.

\section{Introduction to the Course}
\begin{itemize}
\item M1   Introduction to the entire course.  \\
\item M1   Review of vector prerequisites. \\
\item W1  Lesson on  Greek Geometry with filecards.  \\
\item F1   Aministrivia  and how the course is organized \\
\item F1   Miscellaneous Advice  and introduction to GEX2.0. \\
\end{itemize}

\section{Affine Geometry}
\begin{itemize}
\item M2  Labor Day, no class.
\item W2  Census on Administrivia  is due today.
\item W2 Lesson A2  Quadrilaterals, Diagonals and Parallelograms.  \\
\item W2  Lesson A2a Sample texPad solution to Exercise 1.7a \\
\item W2  Lesson A2b Sample texWins solution to Tondeur Problem 1.7a. \\
\item F2  Lesson A3 The Centroid Theorem. (See Advice/8min Video) \\
\item F2 Lab quiz using GEX2.0 and texWins. (See Advice/8min Video) \\
\item M3 Lesson A4 Cartesian and Barycentric Coordinates. (With MCL.) \\
\item W3 Filecard on Lesson A4  Barycentric Coordinates, due today.\\
\item W3  Homework due  Exercises 8,9,11, 12.\\
\item W3 Lesson A5 Ceva's Theorem.  \\
\item F3  Lesson A6 Two applications of the Main Collinearity Lemma. \\
\item F3 Lesson A7 Menelaus' Theorem. \\
\item M4 Lesson A8 Menelaus implies Ceva. \\
\item W4  Homework due  Exercises 13,16a, 17, 18.\\

\item F4 Catchup and review for hourly.\\

\item M5 Hourly on Affine Geometry on Lessons A1-A8.
\item W5  Homework due : Exercises 20, 21, 22.\\
\item W5 Short Lesson on Dilatations. with filecards.\\
\item Fall 2014, his lesson replaces the longer lesson on
dilatations taught in some sections of the course. \\
\item Fall 2014, we will do a new lesson based on parts of the following two.
\item F5 Lab on  Euler line
and Feuerbach Circle drawing  experiments with GEX2.0.\\
\item F5  Active Learning Session  on the composition of two dilatations. This is the last lesson to be covered on the midterm.
\end{itemize}
\section{Perspective Geometry}
\begin{itemize}
\item M6 Remaining details on Affine Geometry (Part 1) and introduction to
Perspective (Part 2)
\item W6  Lesson P1  Kepler's plane. \\
\item W6  Lesson P2  Alberti's veil. \\
\item F6  Exercise 1  on Ideal Desargues due. \\
\item F6  Lesson P3  Thales
on the horizon. With the 3 Horizon and Zenith exercises as lab report. \\
\item M7  Exercise 2  on Perspective Squares due. \\
\item W7  Exercise 3  on Checkerboard Floor due. \\
\item W7  Lesson P4  Cubing an Edge recipe begun. \\
\item F7 Review session for the Midterm.
\item M8  Midterm Hourly
\item W8  Lesson P4  Cubing an Edge recipe completed. \\
\item W8  Lesson P8  Motivating the Twelve Point Circle.  \\
\item W8.  Lesson P9  Twelve point circle.\\
\item F8  Lesson P5  Peeping House tutorial and lab. \\
\item F8  Exercise 4  on Cubing an Edge in 3-Point Perspective due. \\
\item M9. Discussion of Midterm and Grading Policy.\\
\item W9. Construction of a cube in  2-Point Perspective. \\
\item F9  Lesson P7  Measuring a Box, tutorial and lab. \\
\item F9  Measuring a Box in 3 and 2 Point Perspective
\item M10  Lesson P6  Perspective Rulers begun.\\
\item W10  Lesson P6  Perspective Rulers completed.\\
\item W10  Exercise 5  on the measuring a box is due . \\
\item F10  Exercise 6  on the twelve-point circle due . \\
\item F10  Takehome  on perspective assigned. Due 1pm W11.
\item F10  Exercise 7  on the Cube in 2-Point Perspective due. \\
\end{itemize}

\section{Transformational Geometry}
Note, prepare the lesson \textbf{before class} by reading it and filling in the filecards by 11am of the day
specified. Filecards will be checked before class. If you can't answer a question, say so, and it will be
discussed in class. Class participation credit is assessed for completed filecards.
\begin{itemize}
\item M11 Overview of the entire section.
\item M11 Lesson I1 Definition of isometry.\\
\item W11 Here is the filecard on Lesson I1: Isometries .
\item W11 Lesson I2 The Osometry Factorization Theorem (OFT) \\
\item F11 Here is the filecard on Lesson I2: Osometries .
\item F11 Lab experiment  factoring a translation and
factoring a rotation .
\\
\item M12 Lesson I3 The Barycentric Coordinates Theorem (barytheorem) \\
\item M12 Here is the filecard on Lesson I3: the Barytheorem .
\item W12 Lesson I4 Reflections and their properties. (Conjugacy Theorem)\\
\item W12 Here is the filecard on Lesson I4: Conjugacy.
\item F12 Lab F12. Finish Lab F11 in this supervised lab.
\item M13 Exercises  A,B,C,D,E are due. Prepare a single .pdf for all five problems, with figures and justification. \\
\item M13 Lesson I5 Part I Rotations and their
Recalibration and Conjugacy Theorems. \\
\item M13 Lesson I5 Part II Translations and their
Recalibration and Conjugacy Theorems. \\
\item M13 Here is the
filecard Lesson I5: Recalibration of Translations and Rotations..
\item W13 Lesson I6 Classifications by least mirrors (charm). \\
\item W13 Lesson I7 Glide-reflections and the Classification Theorem. \\
\item F13 Lab Experiment  simplifying compositions  \\
\item F13 Homework with  Exercises F,G,H,K is due.\\
\item Turkey Break.
\item M14 Comments on FGHK  \\
\item M14  Review of Isometry Theory  \\
\item M14 The final lesson on isometries for the final is on
glide-reflections.
\item W14 Hourly test on isometries. \\
\item F14 Discussion of solutions to Hourly test on isometries. \\

\item F14 Homework with  Exercises L,M,N,O,P is due. \\
\item M15 Return hourly on isometries and review.
\item W15  Study guide for Final
and discussion of the essay portion of the final.
\item W15 Homework with  Exercises Q,R,S,T is due. \\
\item R15 Is reading day. There will be signup sheets for private consultations\\
\item T16 Final exam is at 7:00pm 18dec14 in Rm 102 Altgeld . Note the correction of the error on earlier versions of the syllabus.\\
\end{itemize}

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