Chapter 16 - Function M-Files Part 1
Table of Contents
What is a Function M-File? .
A Simple Function M-File .
The General Idea .
A (More) Complicated Function M-File .
1
1
2
3
What is a Function M-File?
Suppose you wished to write your own function which
Chapter 17 - Function M-Files Part 2
Table of Contents
Multiple Parameters .
Passing Functions to Functions .
A More Complicated Example .
Documenting Your M-File .
1
1
2
2
Multiple Parameters
Function M-files can take more than a single variable as an ar
Chapter 09 - Plotting Curves
Table of Contents
Using fplot . 1
Changing the Window Domain . 1
Using fplot
A picture is worth 1000 words. Let's learn how to get Matlab to show us some graphs. There are in fact
many different ways to plot graphs in Matlab b
Chapter 12 - Solving
Differential Equations
Table of Contents
Introduction .
Additional Independent Variables .
Initial Value Problems .
Plotting a solution. .
Two More Compound Examples .
An Example with Constants .
1
1
2
2
3
3
Introduction
Matlab is qui
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Lecture 1 : Inverse functions
One-to-one Functions A function f is one-to-one if it never takes the same value twice or
f (x1 ) 6= f (x2 ) whenever x1 6= x2 .
Example The function f (x) = x is one to one, because if x1 6= x2 , then f (x1 ) 6= f (x2 ).
On
Derivatives Cheat Sheet
Derivative Rules
1. Constant Rule:
2. Power Rule:
d
(c) = 0, where c is a constant
dx
d n
(x ) = nxn1
dx
3. Product Rule: (f g)0 = f 0 g + f g 0
0
f
f 0g f g0
4. Quotient Rule:
=
g
g2
5. Chain Rule: (f (g(x)0 = f 0 (g(x)g 0 (x)
Co
Chapter 04 - Symbolic Variables
Table of Contents
Declaring .
Factoring Polynomials .
Expanding .
Simplifying .
Do I Have to Declare Symbolic? .
1
1
2
2
3
In the previous section we learned how to create and use Matlab variables for storing numerical valu
Chapter 07 - Solving Numerically
Table of Contents
Introduction . 1
Solving Numerically using vpasolve . 1
Introduction
What happens when symbolic approaches don't work? For example consider the fairly simple equation
log(x)+x+1=0. (Remember that Matlab u