EGR 103/Fall 2014/Reviews
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For Skills Quiz
- Understand how to write valid MATLAB variable names
- Must start with a letter
- Can contain numbers, but not as the first character
- May be up to 31 characters long
- Case sensitive
- May not contain spaces or punctuation except ‘_’
- Know the meaning of the following built-in variables
- ans – value of an expression not assigned to a variable
- eps – floating point precision – ratio of a number to the largest number that can still “see” it
- i, j - unit imaginary numbers sqrt(-1)
- pi – 3.141592 …
- realmax – largest positive floating point number
- realmin – smallest positive floating point number with full precision
- Understand the following features of assignment (the =)
- There can only be a single variable on the left hand side of an assignment statement unless the assignation comes from a function returning multiple matrices
- Assignment is not a question about equality
- If an entire variable is assigned a new value, the former value is lost
- x = [1 2 3] wipes out any old “x” values
- If only a part of a variable is assigned a new value, everything else is retained
- x(3) = 3 keeps all other values of x (expands if necessary)
- If a location outside of the current size of a variable is assigned, the matrix will stretch to fit, putting zeros to retain its shape; Note: this always works for the x(row,col)= version and for vectors with the x(element)= version
- Understand the math operators
- Know how to use the following scalar operators: + - .* ./ .^
- Understand the order of precedence of the operators
- Parentheses () innermost first
- Exponentiation operator .^
- Unary (one variable) operator + and – (right to left) – says a number is positive or negative:
- +MyVal
- Binary (two variable) operators .* ./ (left to right):
- MyVal .* YourVal
- Binary operators (two variable) + - (left to right)
- MyVal + YourVal
- Be able to write the MATLAB command to calculate a complicated equation using scalar operators
- Be able to evaluate a complicated MATLAB equation and give the resulting answer
- Know how to use the following math functions:
- exp(x) - ex (note that just “e” is NOT defined in MATLAB)
- log(x) – natural log
- log10(x) – base 10 log
- sqrt(x) – square root
- abs(x) – absolute value
- round(x), floor(x), ceil(x), fix(x) – ways to round to an integer
- Know how to use all the trig functions from help elfun – especially the difference between using radians (sin, tan, etc) or degrees (sind, tand, etc); know how to convert between degrees and radians (1 deg = (pi/180) rad)
- Know how min, max, mean, and sum work
- Remember that for 1xN or Nx1 matrices, they produce a single value, while for NxM matrices, where N and M are greater than 1, they produce a 1xM row of answers based on applying the function to each column of the matrix.
- Know how find works and how to use it to determine where the nonzero entries are in a matrix. Also know how that can be used to figure out corresponding values in different matrices.
- Know how to create and use anonymous functions
- Anonymous functions provide a way to create a 1 line, 1 output function that does not have to be stored in a separate m-file
- Example: c = @(a,b) sqrt(a.^2 + b.^2)
- Know how to make a logical mask in an anonymous function – must be one line of code!
- Know how to create and use .m file functions
- Function file name must start with a valid name in MATLAB and end in “.m”
- Function code must start with a function paradigm:
- Typically:
- function [out1, out2, …]=FunName(in1, in2, …)
- If no outputs, just:
- function FunName(in1, in2, …)
- If no inputs, just:
- function [out1, out2, …]=FunName
- Typically:
- When called, function input arguments must be enclosed in parentheses
- Arguments to functions may be constants, variables, expressions, other functions
- If a function gives multiple outputs, the variables that receive them are listed in square brackets; i.e. “[rows, cols] = size(rand(3,4))”
- A function can be called in the command window, in a script file, or in a function
- Variables declared in a function are local to that function – that is, nothing outside the function can “see” them and the function cannot “see” variables outside the function
- nargin and nargout can be used to determine the number of input arguments called and number of output arguments expected – these can be used with if trees to set default values for unspecified inputs
- If a function runs the command return, the function stops right then and returns the values stored in the output argument names to the function call
- Know how to use the following MATLAB commands
- % - comment
- who – lists variables currently in memory
- whos – same as who but also shows size, memory, and type
- clear var1 var2 - removes var1 and var2 from memory
- clear – removes all variables from memory (versus clc – clears the screen)
- ; - suppresses screen printing at end of a line
- … ellipsis; continues a line
- ↑ - relists prior commands
- Know how to use strings
- Be able to assign a string to a variable name
- Be able to access part of a string
- Know how to use the input function – and be able to input numbers or strings
- Know how to use the fprintf function, including format codes (%X.Yf, %X.Ye, %c, and %s) and control codes (\n, \\, %%)
- Know how to use the error and warning functions
- Understand the save and load commands
- Be able to save all or select variables to a specified file in both MATLAB language and ASCII (text)
- Be able to load all or select variables from a MATLAB language .mat file – not on test / good to know
- Be able to load data from an ascii file. Understand that data loaded from an ascii file is loaded in a single matrix.
- load BLAH.txt will load data from BLAH.txt into a matrix called BLAH
- MyData=load(‘BLAH.txt’) will load from BLAH.txt into a matrix called MyData
- Know how to use matrices
- Be able to create a matrix using square brackets, colon notation, built-in commands, and extracting parts of other matrices
- Know how to transpose a vector or matrix using a single quote
- Be able to use an element or elements of a matrix in an equation
- Know how to extract an entire row or column of a matrix using the :
- Be able to do scalar addition, subtraction, multiplication, division, and exponentiation with matrices with MATLAB and by hand
- Know how to generate a vector with a : (ex. x = 1:5)
- Know how to generate a vector with an increment other than one (ex. x=2:2:8 or y=5:-3:-5)
- Know how to generate vectors using the linspace and logspace functions – note especially that the arguments of logspace are the powers of 10 – that is, to get [1 10 100] use logspace(0, 2, 3)
- Know how to access a subgroup of elements within a matrix
- Be able to use the following functions
- eye(n) – creates an nxn identity matrix
- eye(r,c) – creates an rxc matrix of zeros with 1’s on the main diagonal
- ones(n) – creates a nxn matrix of ones
- ones(r,c) – creates an rxc array of ones
- zeros(n) – creates an nxn matrix of zeroes
- zeros(r,c) – creates an rxc array of zeros
- length(vec) - returns the length (largest dimension) of a matrix
- size(mat) returns the number of rows and columns in a matrix or in individual matrices if two outputs are requested
- size(mat, N) returns the N’th dimension (i.e. size(mat,1) is row count)
- rand(n) – creates an nxn matrix of random numbers between (0,1)
- rand(r,c) – creates an rxc array of random numbers between (0,1)
- Use randi to create a range of random numbers – for example, integers between 1 and 6:
- x= randi([1 6], r, c)
- Understand how to use the end keyword with matrices and vectors
- Never use an element that does not exist in your matrix or vector on the right part of an assignment or in an equation!!!!!
- Know what happens if you assign a value to a matrix element outside the bounds of your original matrix
- Understand how sum, mean, min, and max work with matrices and vectors
- Logic
- Understand how to use the relational operators: (< , >, <=, >=, ==, ~=) and how to detect and correct the most common mistakes (1<x<3 is wrong; using = instead of == as a relational operator is wrong)
- Understand the difference between a single = (the assignment statement) and a double == (asking the question, “are these two things equal?”)
- Be able to use logical masks to generate a piecewise function.
- Know how to use the logical operators (~, &, |) and what order they process in (parentheses first, then nots, then ands, then ors last)
- Know how to use the find command to determine where nonzero elements are in a matrix and also figure out the value of other matrices at the same location (i.e. determining the largest negative deflection of a beam as well as where along the beam that deflection is located)
- Know how to use the find command to determine values for which logical expressions are true
- Know how any() and all() commands work
- If trees
- Know the format of an if tree (including elseif and else and end) – and recognize that “else if” is very different from elseif.
- Know that a statement that evaluates to 0 or any matrix with a 0 in it is considered false by an if tree – that is, the if and elseif statements basically put an all() on your logic for you
- Know that an if or elseif looks at all the logic at once and does not go element by element
- Know that else does not take a logical expression
- Plotting
- Be able to plot a single curve or multiple curves on the same graph – both by using hold on/hold off and by putting multiple plot triplets in the same plot command
- Know the
- color codes: b g r c m y k
- point style codes: . o x + * s d (there are others; just know these)
- line style codes: - : -. --
- Note that a single plot style can have up to one color, point, and/or line style. To plot using a green line with red squares at the data points requires two plots; either
- plot(x, y, 'g-', x, y, 'rs')
- or
- plot(x, y, 'g-')
- hold on
- plot(x, y, 'rs')
- hold off
- plot(x, y, 'g-', x, y, 'rs')
- Know the commands to add a title, axis labels, and a well-placed legend
- Know the command and adverb to save a plot into a PostScript file
- For loops
- Know the format of a for loop
- Know how the loop control expression can be written as a row vector using colon notation, as an explicitly written vector, and as a matrix
- Know the difference between a for loop and a while loop
- Be able to use a for loop to go column-by-column through a matrix – for one thing, use a for loop when you know before you start the loop how many times the loop will be executed.
- Be able to tell how many times a loop will execute.
- Be able to predict the output of a set of nested for loops (remember that the internal loop completely executes before the outer loop increments and repeats its set of commands).
- Be able to use a counter variable in conjunction with a for loop
- While loops
- Know the format of a while loop
- Know how to use a while loop to check input conditions
- Use a while loop when you will repeat commands until a certain condition is met.
- Be able to tell how many times a loop will execute (remember that some while loops will never execute and some will execute infinitely).
- Know that an infinite loop can occur
- Know how to use the break command to get out of a while loop
- Be able to use a counter variable in conjunction with a while loop
Good To Know; Not Explicitly On Quiz
- Strings
- Be able to compare strings using strcmp
- Be familiar with the functions lower, upper, num2str and str2num
- Switch trees
- Know the format of a switch tree (including case and otherwise and end)
- Know when you can use a switch tree
- Know how to have multiple triggers from a case, as in {‘blue’, ‘Blue’}
- Know that otherwise does not take a logical expression