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====== Math 445 Course Outline ======

This is a rough outline of course topics and when they will be covered.  

===== Introduction =====

lectures:\\
Tue 09/02: expressions, variables, assignment, types, relations, help\\
Thu 09/04: built-in functions, scripts

matlab concepts: 
<code>
= + - * / \ ^ ; , == ~= <= >= 
pi, inf, NaN, i,j ||, &&, ~, xor
class, help, scientific notation, precedence
sin, cos, tan, exp, log, abs, etc. 
format, who, whos, clear 
fix, round, floor, ceil
rand, randn
</code>

homework 1, lab 1: matlab basics

===== Vectors & Matrices =====

lectures:\\
Tue 09/09 arrays, vectors, and indexing\\
Thu 09/11 mathematics of linear algebra, matrices\\
Tue 09/16 linear algebra in matlab\\
Thu 09/18 i/o, zeros, sparse matrices

matlab concepts: 
<code>
matrices, row and column vectors
element access and assignment
indices, colon syntax, sub-indexing
load, save, zeros, rand, randn
logical arrays
matrix factorizations, eigenvalues
</code>

homework 2, lab 2: linear algebra and arrays


===== Plotting =====

lectures:\\
Tue 09/23 1d plots \\
Thu 09/25 mathematics: log-linear relations\\
Tue 09/30 2d plots 

matlab concepts: 
<code>
linspace, linestyles, plot, semilogy, semilogx, loglog
pcolor, contour, contourf, surf, surfc, 
axis, axis square, axis equal, xticks, yticks, xlabel, ylabel, title
some basic string stuff
</code>

homework 3, lab 3: plotting and data analysis



===== EXAM 1 ===== 
Thu 10/02 in lecture\\
topics: basics, vectors & matrices, plotting


===== Programming =====

Tue 10/07 functions, \\
Thu 10/09 //if// statements\\

lab 4: interest rates

Tue 10/14 //for// and //while// loops\\
Thu 10/16 nesting, timing\\

lab 5: factorial function, loan calculator\\

Tue 10/21 anonymous functions, function handles\\
Thu 10/23 solving nonlinear equations in one variable\\

lab 6: solving nonlinear equations\\

matlab concepts:
<code>
functions, arguments, return values
if, else, elseif, switch, is
for, while
fprintf, tic, toc
anonymous functions, function handles
fzero, fsolve
</code>

===== Application: solving nonlinear equations with Newton's method =====

Tue 10/21 mathematics\\
Thu 10/23 implementation in matlab\\
Tue 10/28\\

lab 7: Newton search

===== Exam 2 =====
Thu 10/30 in lecture\\
topic: programming


===== Application: Monte Carlo methods =====

Tue 11/04 \\
Thu 11/06 \\
\\
lab 8: monte carlo

===== Application: Google page rank =====

Tue 11/04 mathematics\\
Thu 11/06 implementation in matlab\\
Thu 11/13 \\

lab 9: google page rank


===== Application: game of life =====

Tue 11/18 \\
Thu 11/20 \\
Tue 11/25 \\

lab 10: game of life

===== Application: projectile motion =====

Tue 12/02 mathematics: equations of motion\\
Thu 12/04 solving differential equations in matlab\\
Tue 12/09\\

lab 11: projectile motion


===== Application: TBD =====

Thu 12/11\\
Tue 12/16\\
Thu 12/18\\
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