1 Lecture 5 Post-Graduate Students Advanced Programming (Introduction to MATLAB) Code: ENG 505 Dr. Basheer M. Nasef Computers & Systems Dept.

Assignment Write a function called int_col that has one input argument, a positive integer n that is greater than 1, and one output argument v that is a column vector of length n containing all the positive integers smaller than or equal to n, arranged in such a way that no element of the vector equals its own index. In other words, v(k) is not equal to k for any valid index k. 2

In the previous lectures 3  Matlab Windows (workspace, m-file,…)  Working with Arrays  Mathematical Operations with Arrays  Generating Random numbers  Using Script Files and Managing Data

Agenda 4  Plotting given data and functions.  Plotting multiple graphs in the same plot.  Formatting a plot.  Special plots: error bars, pie, histogram.  Plotting multiple plots in the same page.

Powerful Tool 5  Standard plots with linear axis.  Plots with logarithmic, semi-logarithmic axis, bar, stairs plots, three-dimensional contour surface and others.  You can control the line type (solid, dash,…), color, thickness, grid lines and text comments.  Several plots can be placed in the same page.  A legend can be added…

6 Terminology

7  The two vectors have the same number of elements. The plot Command

8 Continuous line

9 The plot Command optional arguments

10 The plot Command optional arguments

11 The plot Command optional arguments

12  You can also control: The plot Command optional arguments

13  Example: Plotting given data

14  Example: Plotting given data

15  To plot a function y=f(x), you have first to create a vector of values for x, then the vector of y is calculated element by element. Plotting a function

16 Plotting a function Notice the small spacing between x values: 0.01.

17 The fplot command

18  Using Plot : Example: Plotting multiple graphs in the same Plot

19  Using Plot : Example: Plotting multiple graphs in the same Plot

20  Using hold on / hold off commands: Example: Plotting multiple graphs in the same Plot

21  Using hold on / hold off commands: Example: Plotting multiple graphs in the same Plot

22  Using hold on / hold off commands: Example modification Plotting multiple graphs in the same Plot New figure Without figure, hold off will erase the previous plots and keep only next plot.

23  Using hold on / hold off commands: Example modification Plotting multiple graphs in the same Plot

24 Formatting a plot

25 Formatting a plot

26 Formatting a plot

27  Example: Formatting a plot

28  Example: Formatting a plot

29 Plots with error bars

30 Plots with special graphs

31 Plots with special graphs

32  Histograms are plots that show the distribution of data.  The overall range of a given set of data points is divided into subranges (bins).  The histogram shows how many data points are in each bin.  The histogram is a vertical bar plot in which the width of each bar is equal to the range of the corresponding bin and the height Histogram

33 Histogram

34  You can change the number of bins: Histogram

35  You can change the number of bins: Example: Histogram

36  subplot command:  The command divides the Figure Window (and the page when printed) into mxn rectangular subplots.  The subplots are numbered from 1 to ( mxn ), the current plot is p. Putting multiple plots in the same page

37  subplot command: Example: Putting multiple plots in the same page

Material & problems 38  We have covered Chapter 5 from Gilat.  Problems you can try: Sample Problem 5-2 1—5, 11, 18, 19, 31