This %==========================================================================
%
% homework is due on Thursday, August 28, 2008 at 11:45:00 PM with a
% 6 hour grace period until Friday, January 19 at 6:00:00 AM. No late
% submissions will be accepted. When you are finished, submit your
% assignment to T-Square: (https://t-square.gatech.edu).
%
% Files provided with this homework:
% - hw02.m
% - prob1.m
% - prob2.m
% - prob3.m
% - prob4.m
%
% Include *only* the following file(s) in your submission:
% - hw02.m
% - prob1.m
% - prob2.m
% - prob3.m
% - prob4.m
%
% INSTRUCTIONS:
% 1) Follow the directions for each problem very carefully or you will
% lose points.
% 2) Make sure you name functions and variables exactly as described in
% the problems or you will not receive credit.
%
% VERY IMPORTANT: You must now use the "Submit" button when submitting
% assignments to T-Square. Once you have submitted the assignment, it will
% give you the option to resubmit. Note that using the "Save Draft" button
% will *not* submit your assignment.
%
% IF ANY INSTRUCTIONS ARE NOT FOLLOWED YOU MAY GET A 0 (ZERO) FOR THIS
% ASSIGNMENT!
%==========================================================================
% Homework 2 Overview
%--------------------------------------------------------------------------
%
% This homework covers the following major topics:
% 1) Vectors (See Smith 3.3)
%
% Here is an overview of the problems. Note that some problems are review
% and/or expand upon previous topics.
% 1. Creating Vectors
% 2. Indexing Vectors
% 3. Functions to use with Vectors
% 4. Linspace Application
%==========================================================================
% PROBLEM 1. Creating Vectors
%--------------------------------------------------------------------------
% Open the file "prob1.m" and follow the directions below. Be very careful
% to ensure that your code does not produce an error when run, if a single
% line in the script creates an error, then you will receive no credit for
% that problem. If you don't know how to do a part, set that variable
% equal to [], or some other dummy value. Each value created is graded in
% isolation, but if the script generates an error when run, then the entire
% problem is counted as wrong.
% For the following exercises, do not use the direct entry method to
% construct the vectors.
%
% (a) Construct a vector containing all of the even numbers between 6 and
% 33, inclusive of the endpoints. Store your answer in the variable
% "evens". Use the range specification method. (Note: 33 is not an
% even number).
clear
clc
evens = 6:2:33
% (b) Construct a vector, "threes", containing every third number starting
% with 8 and ending at 38. Use the range specification method.
threes = 8:3:38
% (c) Construct a vector, "reverse", containing numbers starting at 20 and
% counting backwards by ones to 10. Use the range specification
% method.
reverse = 20:-1:10
% (d) Construct a vector, "theta", containing 100 evenly spaced values
% between -pi to pi. Use linspace, not range specification.
theta = linspace(-pi,pi,100)
% (e) Construct a vector, "myZeros", containing 15 elements, all of which
% are zeros. Use the built-in zeros() function
myzeros = zeros(1,15)
% (f) Construct a vector, "random", containing 15 randomly generated
% numbers between 1 and 2. Use the built-in rand() function.
random = rand(1,15) + 1
%==========================================================================
% PROBLEM 2. Indexing Vectors
%--------------------------------------------------------------------------
% Open the file "prob2.m" and follow the directions below. Be very careful
% to ensure that your code does not produce an error when run, if a single
% line in the script creates an error, then you will receive no credit for
% that problem. If you don't know how to do a part, set that variable
% equal to [], or some other dummy value. Each created value is graded in
% isolation, but if the script generates an error when run, then the entire
% problem is counted as wrong.
% You are given a vector "vec", defined as:
vec = [45 8 2 6 98 55 45 -48 75]; mask = [true false false false false true true false true]; vec = vec(mask)
% In a brief moment of insanity you decide that you don't like even numbers.
% Write the Matlab commands to remove all of the even numbers (ie, 8,2,6,98,
% & -48) from "vec". You should alter the vector "vec" rather than storing
% your answer in a new variable. Remember, don't use direct entry. Your
% code should perform some operations on the vector "vec". You may (but are
% not required to) use more than one line of code to solve the problem.
%==========================================================================
% PROBLEM 3. Functions to use with Vectors
%--------------------------------------------------------------------------
% Open the file "prob3.m" and follow the directions below. Be very careful
% to ensure that your code does not produce an error when run, if a single
% line in the script creates an error, then you will receive no credit for
% that problem. If you don't know how to do a part, set that variable
% equal to [], or some other dummy value. Each value created is graded in
% isolation, but if the script generates an error when run, then the entire
% problem is counted as wrong.
%
% (a) Create a variable called "vLength" that holds the length of the
% vector "vec" modified in Problem 2. Do not just enter the value. You
% should use a built-in Matlab function to calculate the value based on
% the vector itself.
vLength = length(vec)
% (b) Create a variable called "vSum" that holds the sum of the elements
% in vector "vec". Do not just enter the value. You should use a
% built-in Matlab function to calculate the value based on the vector
% itself.
vSum = sum(vec)
% (c) Calculate the mean of the vector "vec" two ways. First, use a
% built-in Matlab function to find the mean of "vec", and store your
% answer in a variable called "mean1". Then, use the results from
% parts (a) and (b) to calculate the mean of "vec", and store your
% answer in the variable "mean2".
mean1 = mean(vec)
mean2 = vSum/vLength
% (d) Create a variable called "vProd" that holds the product of the
% elements in vector "vec". You should use a built-in Matlab function
% to calculate the value based on the vector itself.
vProd = prod(vec)
%==========================================================================
% PROBLEM 4. Linspace Applicatioin
%--------------------------------------------------------------------------
% Open the file "prob4.m" and follow the directions below. Be very careful
% to ensure that your code does not produce an error when run, if a single
% line in the script creates an error, then you will receive no credit for
% that problem. If you don't know how to do a part, set that variable
% equal to [], or some other dummy value. Each value created is graded in
% isolation, but if the script generates an error when run, then the entire
% problem is counted as wrong.
%
% Write a Matlab script to plot sin(x) vs. cos(x). In creating your plot
% you should vary x from -pi to pi. A similar vector ("theta") to x was
% created in Problem 1(d) above. You should find a way to incorporate this
% vector into your solution.
theta = linspace(-pi,pi,100)
y1 = sin(theta)
y2 = cos(theta)
plot(theta,y1)
hold on
plot(theta,y2)
%==========================================================================
% Now you're done! The first thing you should do is run your code and be
% sure it does not produce any errors. If your code produces errors, you
% will not get credit! Then check and make sure each line does what it's
% supposed to do. When you are finished, submit your assignment through
% T-Square.