Lecture 32: M-files and programming in Matlab.
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%changing working directory
pwd

ans =

H:\

cd h:
ls

.              lcD.ps         lecture23.mws  
..             lecture11.mws  lecture24.mws  
3.mws          lecture12.mws  lecture25.mws  
MATH531        lecture13.mws  lecture26.mws  
Project1       lecture14.mws  lecture27.mws  
Project2       lecture15.mws  lecture28.mws  
data.mat       lecture16.mws  lecture30.txt  
hello.dll      lecture17.mws  lecture31.txt  
hw5.asv        lecture18.mws  lecture32.txt  
hw5.m          lecture19.mws  review1.mws    
lambdas.pdf    lecture20.mws  review2.mws    
lambdas.ps     lecture21.mws  sols1.mws      
lcD.pdf        lecture22.mws  

% see areatriangle.m
areatriangle(3,4,5)

ans =

     6

areatriangle(3,4,5)
The area of the triangle (3.000000,4.000000,5.000000) is 6.000000
ans =

     6

% see bisect.m and FsquaredMinus2
bisect('FsquaredMinus2', 0, 2, 0.1, 20)
The root is in the interval [1.000000,2.000000]
m=1.000000, f(m)=-1.000000
The root is in the interval [1.000000,1.500000]
m=1.500000, f(m)=0.250000
The root is in the interval [1.250000,1.500000]
m=1.250000, f(m)=-0.437500
The root is in the interval [1.375000,1.500000]
m=1.375000, f(m)=-0.109375
The root is in the interval [1.375000,1.437500]
m=1.437500, f(m)=0.066406
Succeded after 5 steps
ans =

    1.3750

bisect('FsquaredMinus2', 0, 2, 0.001, 20)
The root is in the interval [1.000000,2.000000]
m=1.000000, f(m)=-1.000000
The root is in the interval [1.000000,1.500000]
m=1.500000, f(m)=0.250000
The root is in the interval [1.250000,1.500000]
m=1.250000, f(m)=-0.437500
The root is in the interval [1.375000,1.500000]
m=1.375000, f(m)=-0.109375
The root is in the interval [1.375000,1.437500]
m=1.437500, f(m)=0.066406
The root is in the interval [1.406250,1.437500]
m=1.406250, f(m)=-0.022461
The root is in the interval [1.406250,1.421875]
m=1.421875, f(m)=0.021729
The root is in the interval [1.414063,1.421875]
m=1.414063, f(m)=-0.000427
Succeded after 8 steps
ans =

    1.4141

bisect('FsquaredMinus2', 0, 2, 0.0001, 10)
The root is in the interval [1.000000,2.000000]
m=1.000000, f(m)=-1.000000
The root is in the interval [1.000000,1.500000]
m=1.500000, f(m)=0.250000
The root is in the interval [1.250000,1.500000]
m=1.250000, f(m)=-0.437500
The root is in the interval [1.375000,1.500000]
m=1.375000, f(m)=-0.109375
The root is in the interval [1.375000,1.437500]
m=1.437500, f(m)=0.066406
The root is in the interval [1.406250,1.437500]
m=1.406250, f(m)=-0.022461
The root is in the interval [1.406250,1.421875]
m=1.421875, f(m)=0.021729
The root is in the interval [1.414063,1.421875]
m=1.414063, f(m)=-0.000427
The root is in the interval [1.414063,1.417969]
m=1.417969, f(m)=0.010635
The root is in the interval [1.414063,1.416016]
m=1.416016, f(m)=0.005100
Failed after 10 steps
ans =

    1.4141

diary off