B1

A1

f1 = @(x) -2*(x+3).^2+5;
f2 = @(x) (3*x.^3-1)./(x.^2+3);
f3 = @(x) (x+2).^sin(2*pi*x);
f4 = @(x) x.*exp(-x);
g1 = @(v,w) v'*w;
g2 = @(v) sqrt(g1(v,v));
g3 = @(v,w) acos(g1(v,w)/(g2(v)*g2(w)))/(2*pi)*360;

x = linspace(0,1,100);
plot(f3(x))

A2

x = [0.1 4.3 5.6 10.9 13.5 16.7 21.9];
v = (x(1:end-1)+x(2:end))/2 % Mittelpunkte

w = sort([x,v])

v =

    2.2000    4.9500    8.2500   12.2000   15.1000   19.3000


w =

  Columns 1 through 7

    0.1000    2.2000    4.3000    4.9500    5.6000    8.2500   10.9000

  Columns 8 through 13

   12.2000   13.5000   15.1000   16.7000   19.3000   21.9000

A3

$p=[ a_n, a_{n-1},...,a_0 ] $ Koeffizienten von $P$

p = [1 1 1 1 1 ]; % => P(x) = x^4+x^3+x^2+x+1

(length(p)-1:-1:0)

q = (length(p)-1:-1:0) .* p % Koeffizienten von P'

% q=[ n* a_n,(n-1) * a_{n-1},...,0*a_0 ]

ans =

     4     3     2     1     0


q =

     4     3     2     1     0

A4

A = rand(8)           % Zufällige Matrix
MAX_SP = max(A)       % Maximum jeder Spalte
MIN_Z  = min(A')      % Minimum jeder Zeile (jeder Spalte von A')
MAX_A  = max(max(A))  % Maximum aller Einträge
[zeile,spalte]= find(A>0.75);  %Indizes aller Elemente größer 0.75
[zeile,spalte]

A =

  Columns 1 through 7

    0.6022    0.3225    0.3411    0.1887    0.6476    0.6073    0.8419
    0.3868    0.7847    0.6074    0.2875    0.6790    0.4501    0.8329
    0.9160    0.4714    0.1917    0.0911    0.6358    0.4587    0.2564
    0.0012    0.0358    0.7384    0.5762    0.9452    0.6619    0.6135
    0.4624    0.1759    0.2428    0.6834    0.2089    0.7703    0.5822
    0.4243    0.7218    0.9174    0.5466    0.7093    0.3502    0.5407
    0.4609    0.4735    0.2691    0.4257    0.2362    0.6620    0.8699
    0.7702    0.1527    0.7655    0.6444    0.1194    0.4162    0.2648

  Column 8

    0.3181
    0.1192
    0.9398
    0.6456
    0.4795
    0.6393
    0.5447
    0.6473


MAX_SP =

  Columns 1 through 7

    0.9160    0.7847    0.9174    0.6834    0.9452    0.7703    0.8699

  Column 8

    0.9398


MIN_Z =

  Columns 1 through 7

    0.1887    0.1192    0.0911    0.0012    0.1759    0.3502    0.2362

  Column 8

    0.1194


MAX_A =

    0.9452


ans =

     3     1
     8     1
     2     2
     6     3
     8     3
     4     5
     5     6
     1     7
     2     7
     7     7
     3     8

Contents

A1

A2

A3

A4