Math 370 Homework Assignments
All assignments must be typeset in Latex. No handwritten homework will be accepted.
-
Homework Set 1: PDF | latex template | figure Due 16 Feb 2012
- Homewok Set 2: PDF | latex template Due 15 March 2012
-
Homework Set 3: PDF | latex template | fig-4-27.png Due Aprileenth 2012
Project Schedule
- Pick a topic: 1 March
- Two page draft: 29 March (before Spring Break)
- Final paper due: 26 April
- PDF presentations due (around 5 slides, not counting title slide) from Beamer, Powerpoint, etc. (your presentation must include slides, you may not use the board; if you
want to use other audiovisual material please talk to me first): 26 April
- Class Presentations: Week of May 1
Lecture Notes
You should download the "Complete" file if you only read the notes electronically. If you have already printed a
complete copy of the notes you may prefer to download and print the individual chapters which have been revised
from the original version posted at the beginning of the semester.
- Complete (rev. 4/17/12)
- Contents and Preface, with Corrections (rev 3/5/12)
- Ch. 15 - Incidence Geometry, with Corrections (rev. 2/5/12)
- Ch. 16 - Betweenness Geometry, with Corrections (rev. 2/5/12)
- Ch. 17 Plane Separation Postulate, with Corrections (rev. 2/5/12)
- Ch. 18 - Angles, with Corrections (rev. 2/11/12)
- Ch. 19 - Crossbar Theorem, with Corrections (rev. 2/6/12)
- Ch. 20 - Linear Pairs, with Corrections (rev. 2/6/12)
- Ch. 21 - Angle Bisecters, with Corrections (rev. 2/6/12)
- Ch. 22 - Continuity Axiom, with Corrections (rev. 2/11/12)
- Ch.23 - Side Angle Side, with Corrections (rev. 2/26/12)
- Ch.24 - Neutral Geometry, with Corrections (rev. 2/26/12)
- Ch. 25 - Angle Side Angle, with Corrections (rev. 2/26/12)
- Ch. 26 - Exterior Angles, with Corrections (rev. 2/26/12)
- Ch. 27 - Angle Angle Side, with Corrections (rev. 2/26/12)
- Ch. 28 - Side Side Side, with Corrections (rev. 2/26/12)
- Ch. 29 - Scalene and Triangle Inequality, with Corrections (rev 2/26/12)
- Ch. 30 - Characterization of Bisectors, with Corrections (rev 2/27/12)
Note - change in continuity of page numbers at this point - if you want continuous page numbers, re-download the
latest version of the complete document.
- Ch. 31 - Transversals, with Corrections (rev 3/5/12)
- Ch. 32 - Triangles in Neutral Geometry, with Corrections (rev 3/5/12)
- Ch. 33 - Quadrilaterals in Neutral Geometry, with Corrections (rev 3/5/12)
- Ch. 34 - The Euclidean Parallel Postulate (rev 3/26/12)
- Ch. 35 - Rectangles (rev 3/26/12)
- Ch. 36 - The Parallel Projection Theorem (rev 3/26/12)
- Ch. 37 - Similar Triangles (rev 3/26/12)
- Ch. 38 - Triangle Centers (rev 4/11/12)
- Ch. 39 - Area (rev 4/11/12)
- Ch. 40 - The Pythagorean Theorem (rev 4/11/12)
- Ch. 41 - Introduction to Circles (rev 4/11/12)
- Ch. 42 - Circles and Triangles (rev 4/17/12)
- Ch. 44 - Circles in Euclidean Geometry (rev 4/17/12)
- Ch. 44 - Area and Circumference of Circles (rev 4/17/12)
Suggested Paper Topics
- Ancient Egyptian Geometry
- Babylonian Geometry
- Zhou Bi Suan Jing (The Nine Chapters of the Mathematical Art) and subsequent work
- The Kerala School
- Vedic Geometry (Sulba Sutras, Baudhayana, Manava 9th-3rd Centry BC)
- Classical Indian Geometry (Brahmagupta, 5-7th Century)
- Middle Eastern Geometry 7th-11th C: Al Kwarizimi, Thabit ibn Qurra, Ibrahim ibn Sinan, Omar Khayyam
- School of Pythagoras
- Pre-Euclidean Greek: Thales, Plato, Aristotle
- Post Euclidean Greek: Archimedes, Erosthenes, Proclus, Apollonius, Hero of Alexandria, Diophantus,
Ptolemy, Hypatia (Focus on Geometry)
- History of Hyperbolic Geometry
- Historical Development of Spherical Trigonometry
- The Van Hiele Model of How Children Learn Geometry
- NCTM (National Council of Teachers of Mathematics, Focus on Geometry)
- Hilbert's Axioms
- Birkoff's Axioms
- MacLane's Axioms
- SMSG (School Mathematics Study Group)
- UCSMP (University of Chicago School Mathematics Project)
- Common Core Standards Initiative
- Tesselations
- The Bravais Lattice
- Wallpapaer Groups
- Geometry and the Alhambra
- Mandalas and Knot Designs in Art and/or Architecture
- Geometry in Architecture
- Hyperbolic Geometry in Art (e.g, Escher)
- Perspective in Art
- Geometry in Hokusai's Art
If you do not choose a topic one will be assigned to you.
Template with Formatting Instructions: Latex | PDF
