Introduction to Mathematical Biophysics

MAP 5485
Fall 2005
Tuesday 12:30 - 1:45 200 LOV
Thursday 12:30 - 1:45 107 MCH

Prof. J. R. Quine
quine@math.fsu.edu
114 LOV, 644-6050

Topics:

Information relating to the course

Official syllabus  useful information and schedule of the lectures

Bibliography and Links  some books and web resources for reference

A Maple essentials tutorial  a worksheet to learn quickly the basics of Maple

Learning Guide  an introduction to Maple

Notes on using Maple, some tips to save you trouble

Ideas for a Maple project and sample projects

The lectures

Molecular Genetics: DNA

A very brief linear algebra review (print version)    A very brief linear algebra review, large display version

Molecular Genetics: Proteins

Geometry space: symmetries (print version)    Geometry of  space: symmetries (large display version)  

Geometry of space: lattices and space groups (print)   Geometry of space: lattices and space groups (display) 

Frames (print)   Frames (display)

Torsion angles and proteins (print)   Torsion angles and proteins (display)

Rotations (print)   Rotations (display)

X-ray crystallography, Fourier series (print)    X-ray crystallography, Fourier series (display)

NMR (print)  NMR (display)

Protein folding and energy minimization (print)   Protein folding and energy minimization (display)

The discrete Frenet frame (print)    The discrete Frenet frame (display)

The Boltzmann distribution (print)  The Boltzmann distribution (display)

Writhe and Twist of DNA  Writhe and Twist of DNA, large display version

Homeworks

Homework 1 due Tuesday September 20

Homework 2 due Tuesday September 27

Homework3 due Tuesday November 1

Solution to Homework 3

Maple project ideas 

Maple tutorials

Space groups, worksheet   Space groups, problems   

3D Space groups worksheet     Problem

Protein data bank files:  Maple worksheet     pdb file for bacteriorhodopsin    problems

Maple worksheet on rotations   Exercises on rotations

Maple worksheet Fourier series    Exercises on Fourier series

Exercises on square roots of symmetric matrices.

Discrete curves worksheet    Discrete curve exercises

Hydrogen bonds, alpha helices, energy minimization

Tests

test 1 from 2004

final exam from 2004