two K4 frameworks

Math 339FM: Rigidity Theory
TTh 1:45-3pm, Clapp 402
Jessica Sidman, jsidman at mtholyoke dot edu
Syllabus
Course notes
Simulator and pebble game

Week Tuesday Thursday
1/23 Read: Syllabus
Beginning of Semester Survey
Read: Chapter 2
Mini-HW1 due on Friday. PDF LaTex
If you haven't seen graphs before you may wish to check out the videos: Introduction to Graph Theory and The complete graph K_N.
1/30 Read: Chapter 3.1 and 3.2
Pre-class assignment on Gradescope.
Read: Chapter 3.3
Mini-presentation: 2.3.4.
Quiz 1: Be prepared to state and demonstrate an understanding of the following definitions: graph, vertex, edge, degree, K_n, K_{m,n}.
HW2 due Friday.PDF LaTex
2/6 Read: Chapter 4.1
Pre-class assignment on Gradescope.
Read: Chapter 4.2
Mini-presentation: 3.5.1.
Quiz 2: Be prepared to state and demonstrate an understanding of the following definitions: congruence, equivalence, motion and do (parts of) problems from HW2.
HW3 due Friday. See the PDF and LaTex files in this drive folder.
2/14 Read: Chapter 5.1
Pre-class assignment on Gradescope.
Museum field trip today! We will meet in the museum lobby.
Mini-presentation: 4.3.4, 4.3.5.
Quiz 3: Be prepared to state and demonstrate an understanding of the following definitions:infinitesimal motion, trivial motion and do (parts of) problems from HW3.
HW4 due Friday. See the PDF and LaTex files in this drive folder.
2/21 Read: Chapter 5
Pre-class assignment on Gradescope.
Bring laptop to class. We'll use matlab today. Follow the link here to create an online account before class if you don't already have one.
Read: Chapter 6
Quiz 4:Be prepared to state and demonstrate an understanding of the following definitions:infinitesimal rigidity, equilibrium load, equilibrium stress and do (parts of) problems from HW4.
Portfolio check 1 due Friday. See the PDF and LaTex files in this drive folder.
2/28 Read: Chapter 8.1
Pre-class assignment on Gradescope.
Bring laptop to class. We may use matlab today.
Read: Chapter 8.2
Presentations: TBA.
Homework 5 due Friday. See the PDF and .mlx files in this drive folder.
3/7 Read: Chapter 8.3
Pre-class assignment on Gradescope.
Read: Chapter 8.4
Quiz: Be prepared to state and understand the following definitions: H1-move H2-move and do (parts of) problems from HW5.
Homework 6 due Friday. See the PDF and LaTex files in this drive folder.
3/21 Read: Trees and sparsity
Pre-class assignment on Gradescope.
Read: LPG Theorem
Quiz: Be prepared to state and understand the following definitions: (2,3)-sparse, (2,3)-tight and do (parts of) problems from HW6.
Portfolio check #2 due Friday. See the PDF and LaTex files in this drive folder.
3/28 Class canceled for BOOM. Read: Ch. 10
HW7 due next Wednesday. See the PDF and LaTex files in this drive folder.
4/4 Questions about (1,1)-sparsity.
Discussion of project ideas.
Pebble game proof.

Pre-class assignment on Gradescope.
HW7 due Wednesday.
Pebble game proof wrap up.
Project proposal due. See the Project guidelines document in this drive folder.
4/11 Read: Chapters 7 and 9.
We'll get started on a pebble game worksheet and then talk about matroids.
Pre-class questions on Gradescope.
Read: Redundant Persistant Acylic Formations for Vision-Based Control of Distributed Multi-Agent Formations, Burns, Klemperer, Solyst, St. John
Quiz: Be prepared to state and understand the following definitions: (1,1)-sparse, (1,1)-tight and do (parts of) problems from HW7.
4/18 Read: Counting out to the flexibility of molecules, Walter Whiteley
Portfolio check #3 due Wednesday. (Use a problem from HW7, a problem from the pebble game worksheet, and illustrate a proof from class with an example.) See the PDF and LaTex files in this drive folder.
Pre-class questions on gradescope.
Project outline due
4/25 Presentation workshop
Presentations
Presentation feedback form
5/2 Presentations