100 Handouts and m-files

Slides

• Slides (PDF) for lectures.
  The printer-friendly versions collapse all overlays.
  Advantages: fewer pages, smaller files;
  Disadvantage: a couple of overlays are missing because they print on top of each other in the presentation.
  Slides about applied math Applied math (print) (updated 08/14/2012)
  Slides for MATLAB intro MATLAB intro (print) (updated 09/14/2012. Scavenger hunt assignments can also be re-created by running scavenger_assign.m)
  Slides about logic Logic (print) (typo fixed 09/25
  Slides about Fibonacci numbers and dates (ExM Ch.2&3)
  The movie Nature by Numbers I showed you and some great explanations of the theory behind the movie by the movie's creator.
  Slides about matrices and linear transformations (ExM Ch.4)
  Slides about linear systems (ExM Ch.5) Linear systems (print)
  Slides about affine transformations and fractal fern (ExM Ch.6) Affine transformations (print)
  Slides about mathematical modeling and exponential growth (ExM Ch.8 and other) (huge file, 40MB due to video, minor formatting changes 10/13) Modeling
  Slides about proof (huge file, 196MB due to videos) Proof (print, much smaller)
  Slides for Statistics Intro
  Slides about ODEs ODEs (print)
  Slides for Randomness Intro Randomness (print) (updated 11/16)
  Slides about Ethics Ethics (print)
  Slides on Mathematics and Materials Science Intro

MATLAB and Mathematica files

• scavenger_assign.m (the script that created our random assignments for the scavenger hunt, updated 09/14)
• goldrect.m (the function mentioned in Exercise 1.16 of ExM)
• fixedpoint.m from Experiments in MATLAB
• Introductory Matlab scripts
  • matrix_vector.m matrix_vector.html (definition of matrices and vectors)
  • arithmetic.m arithmetic.html (simple arithmetic with matrices and vectors)
  • lin_sys.m lin_sys.html (solving linear systems)
  • submatrices.m submatrices.html (definition of submatrices)
  • statistics.m statistics.html (timing in Matlab)
  • loops1.m loops1.html (for-loops, and why to avoid them)
  • loops2.m loops2.html (more on for-loops)
  • plotting.m plotting.html (simple plotting)
  • efficiency.m efficiency.html (some tricks for efficient coding)
  • user_defined_functions.m user_defined_functions.html (how to use user-defined functions)
  • circle.m (a user-defined function)
  • anonymous_functions.m anonymous_functions.html (how to use anonymous functions)
  • function_functions.m function_functions.html (how to use anonymous functions)
• fibonacci13.m (the script we created in class)
• fibonacci.m (the function from ExM, edited to start with 1,1)
• fibnum.m (the recursive function from ExM, edited to start with 1,1)
• Fibonacci Rabbits (from Wolfram Demonstration site)
• Fibonacci Numbers and the Golden Ratio (from Wolfram Demonstration site)
• Equation of a line in vector form (from Wolfram Demonstration site)
• Slope fields (slightly edited, based on from Wolfram Demonstration site)