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Vocabulary and applications for Math 445 final exam

  compact scientific notation (e.g. 1.4e-06)
  complex numbers (e.g. 3 + 4*i)
  Inf, NaN (!)

  =           assignment
  - + * / ^   algebraic operations
  \           solve system of equations Ax=b  (x = A\b)

  constructing matrices and vectors
    with square brackets [ ], commas, and semicolons
    colon syntax
    linspace
    zeros
    ones
    eye
    rand
    randi
    randn
    
  accessing elements of vectors and matrices
    single elements, rows, columns, and subvectors & submatrices
     
  linear algebra operations on vectors and matrices
    + - * \ ^ '
  
  elementwise operations on vectors, matrices
    - + .* ./ .^
 
  logical (boolean) operations
    == (equals)
    ~= (not equal)
    >
    <
    >=
    <=
    ~   (NOT)
    &&  (simple AND)
    ||  (simple OR)
    &   (componentwise AND for vectors)
    |   (componentwise OR  for vectors)
    xor (for both vectors and simple logical variables)
    zero    means false    
    nonzero means true

    any 
    all
    find
    
  helpful miscellaneous functions
    sum
    mean
    sort
    ceil
    floor
    round
    size
    save
    load
    clear
    class
    who
    whos
    what
    which
    input
    disp
    fprintf
    
  plotting functions (1d)
    plot
    semilogy
    semilogx
    loglog
    hist
    xlabel
    ylabel
    title 
    legend
    axes
    hold, hold off, hold on
    clf
    grid off, grid on
    color & marker codes
    figure
    subplot

  multi-d plotting
    meshgrid
    pcolor
    contour, contourf
    surf, surfc

  scripts

  control flow 
    if statements: if, elseif, else, end
    for loops: for, end
    switch statements: switch, case, otherwise, end
    while loop: while, end
      plus break and continue
    
  user-defined functions
    file functions
    anonymous functions
    single argument, single return
    multiple argument, multiple return

   
  applications
    solving linear systems with backslash
    solving linear systems with fsolve
    solving differential equations with ode45
    computing expressions involving sums and products (e.g. infinite series)
    the Newton search algorithm
    log-linear relations
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