EGR 103/Fall 2014/Lab 6

Typo: In 6.4.3, there is a comment about "a loop may be the best to go" - which is true, there just isn't a loop in the previous problem...

Basic Root-Finding Problems

• Main thing is to look at MATLAB:Fzero and the different ways of calling it.
• The sign plots are really helpful.
• The last equation has three sign changes but only two roots

Basic Min/Max Finding Problems

• Main thing is to look at MATLAB:Fminbnd and the different ways of calling it.

Palm Problem 3.13

• This eventually becomes a one-parameter search problem. Though you are using fminbnd here, there is an example for a one-parameter search at MATLAB:Fzero#One_Parameter; the example is based on fzero versus fminbnd but the concept is the same.

Chapra Problem 6.16

• This is a one-parameter search problem. There is an examples for a two-parameter searches at MATLAB:Fzero#One_Parameter

Chapra 6.21

• This simply requires using fzero twice - just be careful on how you initialize fzero and also be careful about units for the angles.

Chapra 7.19

• The lab handout pretty much walks you through this one.

Chapra 7.23, 7.24, and 7.25(b/c)

• These problems will require fminsearch to find the extremes, as well as meshgrid and surfc to make the plots; more on that at Plotting Surfaces