The Essentials

ID

MATH065

Title

Colliding Balls & Springs - The microstructure of how materials behave

Times

TuTh 11:00-12:15 PH228

Instructor

Sorin Mitran

Office Hours

Mo 10-11, Tu 8:30-10, Th 2-3, PH307

Syllabus

Motivation and Objectives

Why are some materials soft and others hard? Why are some substances solid while others are fluid? How do we know that ice, water and steam are really the same substance? The answers to these questions have fascinated inquisitive minds before history started. Imagine the awe and wonder of one our ancestors in some forgotten place hundreds of thousands of years ago when it was discovered that flint can be chipped to give a sharp edge - so useful in scraping the meat of hides and ensuring a warm summer. The similar wonder when part of the stones left in the overnight fire were found in strange new shapes the following morning. Someone followed through and found that these shiny parts of some rocks flowed when heated just like water flows. When cooled it became as solid as rock and could be made into useful new shapes.

This journey started so long ago is with us still - indeed you are embarking upon a new phase of it in starting your higher education. We will try to recapture what our ancestors have accomplished before us and set the stage for what is being done today in studying the material world around us. While paying homage to history we will introduce how contemporary computational technology is introducing a promising new way of actually designing the materials that we need. Indeed progress is fast apace in the understanding not only of inanimate matter but of the molecular functioning of biological systems.

Grading Policy

Grading is based upon the following course work:

Grade points are translated to letter grades according to the following table:

A+

100-

B+

86-90

C+

71-75

D+

56-60

A

96-100

B

81-85

C

66-70

D

50-55

A-

91-95

B-

76-80

C-

61-65

F

0-49

Course Texts and Notes

There is no fixed course text. Students are encouraged to peruse and perhaps actively read from the following bibliography. The bibliography will grow as the course proceeds. Lecture notes will be available online after each class.

The Feynman Lectures on Physics, Richard Feynman. (Addison-Wesley, 1970).

The Greeks - Crucible of Civilization - Paul Cartledge and associated PBS DVD (PBS website)

Infinite Secrets - A PBS Nova documentary on Archimedes (website)

Seminar

Topic

Notes

Seminar

Topic

Notes

1 (8/19)

Atomic hypothesis

sem01.pdf , Handout from Feynman's Lectures on Physics

2 (8/21)

Basic Python

sem02.pdf

3 (8/26)

Prehistoric science

Upload new attachment "sem03.pdf"

4 (8/28)

Intermediate Python

sem04.pdf

5 (9/2)

The first civilizations

sem05.pdf

6 (9/4)

Python applications

sem06.pdf

7 (9/9)

Egypt & Mesopotamia

sem07.pdf

8 (9/11)

Pythagoras & Music

sem08.pdf sem08.py

9 (9/16)

Presocratic philosophers

sem09.pdf

10 (9/18)

Greek atomic theory

sem10.pdf

11 (9/23)

Presocratic philosophers

Library research time

12 (9/25)

Colliding balls program

sem12.py

13 (9/30)

Presocratic philosophers

Debate

14 (10/2)

Analysis of atomic simulation data

sem14.py

15 (10/7)

Athenian democracy

Greeks: Crucible of Civilization I

16 (10/9)

Atom-atom collisions - First step

17 (10/14)

Socrates

Greeks: Crucible of Civilization II

18 (10/16)

(Fall break)

19 (10/21)

School of Athens

sem19.pdf SchoolAthensID.pdf

20 (10/23)

Atom-atom collisions

sem20.py atomC.py AtomCollision.pdf

21 (10/28)

School of Athens

Debate

22 (10/30)

Perfect gas

(see sem23.py)

23 (11/4)

Top-down programming

sem23.py

24 (11/6)

Object-oriented programming. Perfect gas pressure-volume law

sem24.pdf sem24.py atom.py

25 (11/11)

Rediscovering Antiquity

Turning Points in the Physical Sciences (See Sem 25 links below)

26 (11/12)

Diffusion

Upload new attachment "sem26.pdf" Upload new attachment "sem26.py" Upload new attachment "atomD.py"

Seminar 25 links

Lucretius

Synopsis of Lucretius' ''De Rerum Natura''

English translation of ''De Rerum Natura''

UNC Library record for a detailed book on atomic theory within ''De Rerum Natura''

Scientists to be represented in last Debate

Boyle

Galileo

Descartes

Newton

Dalton

Lavoisier

Homework and Projects

Homework assignments will cover both basic aspects of modeling material structure and the historical evolution of the subject and its implications. There are 6 homework assignments:

Homework assignments will be given out individually in response to student interests.

Computer homework

hw1.pdf Ancient Greek Music

hw2.pdf Atoms colliding with walls

hw3.pdf Boyle law (no atom-atom collisions)

hw4.pdf Boyle law (with atom-atom collisions)

Useful software:

Final examination

The final examination will be held on Thursday, Dec 11 at 8:00 A.M. in PH228.

The final examination will consist of four questions:

1. A programming question. Example: write Python code to compute the sum of the first 10 integers.

2. A question on the link between development of atomic theory and changes in society. Example: What societal conditions were necessary for the first formulation of atomic theory by Leucippus?

3. A question on how atomic theory explains natural phenomena. Example: What happens when natural gas burns?

4. A question on physical principles used in constructing atomic theory, molecular dynamics. Example: What physical quantities are conserved when two atoms collide?

Course Bulletin Boards

Please choose the appropriate section for your question. Questions are answered daily, typically late at night.

Math065Lectures

Math065Homework

Math065Computing

ScientificComputing: MATH065 - Fall 2008 (last edited 2008-12-03 20:21:48 by coanda)