SlideShare a Scribd company logo

Chapter 3 -Built-in Matlab Functions

Download as PPT, PDF
Siva Gopal, profile picture
Siva Gopal

The document discusses the various built-in functions available in MATLAB for engineers. It covers fundamental math functions, trigonometric functions, data analysis functions, and how to use the help feature. Examples of functions include sqrt(), sin(), max(), and help to find documentation on any function's usage.

1 of 50
Downloaded 56 times
1
2
Most read
3
Most read
4
5
6
7
8
Most read
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Built-in Matlab Functions Chapter 3 0 200 400 600 800 1000 0 20 40 60 80 100 Test Scores Student Number Score 0 20 40 60 80 100 0 20 40 60 80 100 120 Distribution of Test Scores Score #ofstudents 0 200 400 600 800 1000 0 20 40 60 80 100 Student Number Score 0 20 40 60 80 100 0 20 40 60 80 100 120 Score #ofstudents Average = 50 Average = 50 Average = 50 Average = 50
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour In this chapter we’ll cover • Using Built in Functions • Using the Help Feature • Elementary Math Functions • Trigonometric Functions • Data Analysis Functions • Random Number Functions • Complex Number Functions • Computational Limits • Special Values and Miscellaneous Functions
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Matlab uses function names consistent with most major programming languages For example • sqrt • sin • cos • log
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Function Input can be either scalars or matrices
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Function Input can be either scalars or matrices
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Using Predefined Functions • Functions consist of • Name • Input argument(s) • Output sqrt (x)= result In MATLAB sqrt(4) ans = 2
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Some functions require multiple inputs • Remainder function returns the remainder in a division problem • For example the remainder of 10/3, is 1
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Some functions return multiple results • size function determines the number of rows and columns
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour You can assign names to the output
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Nesting Functions
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour There are functions for almost anything you want to do • Use the help feature to find out what they are and how to use them • From the command window • From the help selection on the menu bar
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour From the Command Window
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour From the Help Menu
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Elementary Math Functions • abs(x) absolute value • sign(x) plus or minus • exp(x) ex • log(x) natural log • log10(x) log base 10
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Rounding Functions • round(x) • fix(x) • floor(x) • ceil(x)
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Discrete Mathmatics • factor(x) • gcd(x,y) greatest common denominator • lcm(x) lowest common multiple • rats(x) represent x as a fraction • factorial(x) • primes(x) • isprime(x)
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Trigonometric Functions • sin(x) sine • cos(x) cosine • tan(x) tangent • asin(x) inverse sine • sinh(x) hyperbolic sine • asinh(x) inverse hyperbolic sine • sind(x) sine with degree input • asind(x) inverse sin with degree output
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Data Analysis • max(x) • min(x) • mean(x) • median(x) • sum(x) • prod(x) • sort(x)
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour When x is a matrix, the max is found for each column
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour max value element number where the max value occurs
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Vector of row numbers Vector of maximums
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Determining Matrix Size • size(x) number of rows and columns • length(x) biggest dimension
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Variance and Standard Deviation • std(x) • var(x) ( ) 1 1 2 2 − − = ∑= N x N k k µ σ 2 σ σ
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Standard Deviation
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Random Numbers • rand(x) • Returns an x by x matrix of random numbers between 0 and 1 • rand(n,m) • Returns an n by m matrix of random numbers • These random numbers are evenly distributed
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Gaussian Random numbers • randn(n) • Also called a normal distribution • Generates numbers with a mean of 0 and a standard deviation of 1
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour To generate random numbers between other bounds… ( ) arabx +⋅−= a and b are the upper and lower bounds r is the array of random numbers
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour 0 200 400 600 800 1000 0 20 40 60 80 100 Test Scores Student Number Score 0 20 40 60 80 100 0 20 40 60 80 100 120 Distribution of Test Scores Score #ofstudents 0 200 400 600 800 1000 0 20 40 60 80 100 Student Number Score 0 20 40 60 80 100 0 20 40 60 80 100 120 Score #ofstudents Average = 50 Average = 50 Average = 50 Average = 50
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour More about Manipulating Matrices • M(:) • Converts a two dimensional matrix to a single column
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Complex Numbers • complex(x,y) • real(A) used if A is a complex number • imag(A) • isreal(A) • conj(A) • abs(A) • angle(A) real imaginary
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Computational Limits • Matlab’s computational range on most computers is: • 10-308 • 10308 • When you divide by 0, the computer returns Inf
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Check the limits on your computer with these commands • realmax • realmin • intmax • intmin
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour When using very large or very small numbers the result may depend on the order of operation
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Special Values and Functions • pi • i,j • Inf • NaN • clock • date • eps • ans Hint: The function i is the most common of these functions to be unintentionally renamed by Matlab users.
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Summary • MATLAB contains a wide array of predefined functions • Elementary Math Functions • Trigonometric Functions • Data Analysis Functions • Random Numbers • Complex Numbers
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Summary • The colon operator allows you to manipulate matrices
Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Summary • Computational Limits • Special Values and Functions

More Related Content

PDF
Matlab-free course by Mohd Esa
Mohd Esa
 
PPTX
Microprocessor 8086 instructions
Ravi Anand
 
PPTX
K - Map
Abhishek Choksi
 
PPT
Matlab introduction
Satish Gummadi
 
PDF
Digital Electronics Question Bank
Mathankumar S
 
PPTX
Realibity design
Abhishek Tiwari
 
PDF
Digital Electronics- Number systems & codes
VandanaPagar1
 
PPT
Introduction to Matlab
aman gupta
 
Matlab-free course by Mohd Esa
Mohd Esa
 
Microprocessor 8086 instructions
Ravi Anand
 
K - Map
Abhishek Choksi
 
Matlab introduction
Satish Gummadi
 
Digital Electronics Question Bank
Mathankumar S
 
Realibity design
Abhishek Tiwari
 
Digital Electronics- Number systems & codes
VandanaPagar1
 
Introduction to Matlab
aman gupta
 

What's hot (20)

PPTX
variable entered map
Bansari Shah
 
PPT
MS EXCEL
syed_umar
 
PPTX
NP completeness
Amrinder Arora
 
PDF
Fuzzy inference systems
Siksha 'O' Anusandhan (Deemed to be University )
 
PDF
fuzzy fuzzification and defuzzification
Nourhan Selem Salm
 
PPSX
Introduction to MATLAB
Ashish Meshram
 
PPTX
MATLAB - Arrays and Matrices
Shameer Ahmed Koya
 
PPTX
Combinatorial Optimization
Institute of Technology, Nirma University
 
PDF
MATLAB Programming
محمدعبد الحى
 
PPT
Interface
Siddique Ibrahim
 
PPTX
Bucket sort- A Noncomparision Algorithm
Krupali Mistry
 
PPTX
An Introduction to MATLAB for beginners
Murshida ck
 
PPTX
Dijkstra's algorithm presentation
Subid Biswas
 
PPT
introduction to Embedded System
Ankur Soni
 
PPT
Arbitration in computer organization
Amit kashyap
 
PPTX
Introduction to FPGAs
Sudhanshu Janwadkar
 
PDF
MATLAB Basics-Part1
Elaf A.Saeed
 
PDF
Fundamentals of Genetic Algorithms (Soft Computing)
Amit Kumar Rathi
 
PPTX
Bucket sort
Faiza Saleem
 
PPTX
Matlab Introduction
ideas2ignite
 
variable entered map
Bansari Shah
 
MS EXCEL
syed_umar
 
NP completeness
Amrinder Arora
 
Fuzzy inference systems
Siksha 'O' Anusandhan (Deemed to be University )
 
fuzzy fuzzification and defuzzification
Nourhan Selem Salm
 
Introduction to MATLAB
Ashish Meshram
 
MATLAB - Arrays and Matrices
Shameer Ahmed Koya
 
Combinatorial Optimization
Institute of Technology, Nirma University
 
MATLAB Programming
محمدعبد الحى
 
Interface
Siddique Ibrahim
 
Bucket sort- A Noncomparision Algorithm
Krupali Mistry
 
An Introduction to MATLAB for beginners
Murshida ck
 
Dijkstra's algorithm presentation
Subid Biswas
 
introduction to Embedded System
Ankur Soni
 
Arbitration in computer organization
Amit kashyap
 
Introduction to FPGAs
Sudhanshu Janwadkar
 
MATLAB Basics-Part1
Elaf A.Saeed
 
Fundamentals of Genetic Algorithms (Soft Computing)
Amit Kumar Rathi
 
Bucket sort
Faiza Saleem
 
Matlab Introduction
ideas2ignite
 
Ad

Viewers also liked (14)

PDF
Introduction to Matlab
Amr Rashed
 
PPT
Chapter 5 - Plotting
Siva Gopal
 
PDF
Spark of Innovation white paper
Kyle Weckerly
 
PDF
Libro de MATLAB
guestecaca7
 
PPT
Keyboard
BESOR ACADEMY
 
PPT
How to work on Matlab.......
biinoida
 
PDF
Matlab Presentation
Mohamed El Rayany
 
PDF
Advanced MATLAB Tutorial for Engineers & Scientists
Ray Phan
 
PPT
Matlab Basic Tutorial
Muhammad Rizwan
 
PDF
Introduction to strain gages
Hareesha N Gowda, Dayananda Sagar College of Engg, Bangalore
 
PDF
MATLAB Programs For Beginners. | Abhi Sharma
Abee Sharma
 
PDF
Assembly of screw jack
Hareesha N Gowda, Dayananda Sagar College of Engg, Bangalore
 
PPTX
FDM Numerical solution of Laplace Equation using MATLAB
Aya Zaki
 
PPS
Riveted joints
Hareesha N Gowda, Dayananda Sagar College of Engg, Bangalore
 
Introduction to Matlab
Amr Rashed
 
Chapter 5 - Plotting
Siva Gopal
 
Spark of Innovation white paper
Kyle Weckerly
 
Libro de MATLAB
guestecaca7
 
Keyboard
BESOR ACADEMY
 
How to work on Matlab.......
biinoida
 
Matlab Presentation
Mohamed El Rayany
 
Advanced MATLAB Tutorial for Engineers & Scientists
Ray Phan
 
Matlab Basic Tutorial
Muhammad Rizwan
 
Introduction to strain gages
Hareesha N Gowda, Dayananda Sagar College of Engg, Bangalore
 
MATLAB Programs For Beginners. | Abhi Sharma
Abee Sharma
 
Assembly of screw jack
Hareesha N Gowda, Dayananda Sagar College of Engg, Bangalore
 
FDM Numerical solution of Laplace Equation using MATLAB
Aya Zaki
 
Riveted joints
Hareesha N Gowda, Dayananda Sagar College of Engg, Bangalore
 
Ad

Similar to Chapter 3 -Built-in Matlab Functions (20)

PPT
Chapter 4 - Manipulating Matlab Matrices
Siva Gopal
 
PPT
Chapter 1 -About Matlab
Siva Gopal
 
PPT
Chapter 2 - Matlab Environment
Siva Gopal
 
PPTX
Mat lab workshop
Vinay Kumar
 
DOCX
7 channel Interleaved Boost Converter
ZunAib Ali
 
PDF
Time series representations for better data mining
Peter Laurinec
 
PDF
ScalaMeter 2012
Aleksandar Prokopec
 
PDF
Matlabsimulink Sensor Fusion And Tracking Toolbox Reference The Mathworks
selezinkuah
 
PDF
Autonomic Resource Provisioning for Cloud-Based Software
Pooyan Jamshidi
 
PDF
ScalaMeter 2014
Aleksandar Prokopec
 
PPTX
ARIMA.pptx
brahimNasibov
 
PDF
Alex Smola, Professor in the Machine Learning Department, Carnegie Mellon Uni...
MLconf
 
PDF
Mat lab
Gizachew Kefelew
 
PDF
Histograms in 12c era
Mauro Pagano
 
PDF
Fuzzy Control meets Software Engineering
Pooyan Jamshidi
 
PDF
Introduction to r
Ghassan Al-Yafie
 
PDF
Monitoring Complex Systems: Keeping Your Head on Straight in a Hard World
Brian Troutwine
 
PPT
Manufacturing System Introduction
Muhammad Muddassir
 
PDF
Generating Automated and Online Test Oracles for Simulink Models with Continu...
Lionel Briand
 
PPT
Phân tích DEA với dữ liệu lớn trong STATA
jiaquan910
 
Chapter 4 - Manipulating Matlab Matrices
Siva Gopal
 
Chapter 1 -About Matlab
Siva Gopal
 
Chapter 2 - Matlab Environment
Siva Gopal
 
Mat lab workshop
Vinay Kumar
 
7 channel Interleaved Boost Converter
ZunAib Ali
 
Time series representations for better data mining
Peter Laurinec
 
ScalaMeter 2012
Aleksandar Prokopec
 
Matlabsimulink Sensor Fusion And Tracking Toolbox Reference The Mathworks
selezinkuah
 
Autonomic Resource Provisioning for Cloud-Based Software
Pooyan Jamshidi
 
ScalaMeter 2014
Aleksandar Prokopec
 
ARIMA.pptx
brahimNasibov
 
Alex Smola, Professor in the Machine Learning Department, Carnegie Mellon Uni...
MLconf
 
Mat lab
Gizachew Kefelew
 
Histograms in 12c era
Mauro Pagano
 
Fuzzy Control meets Software Engineering
Pooyan Jamshidi
 
Introduction to r
Ghassan Al-Yafie
 
Monitoring Complex Systems: Keeping Your Head on Straight in a Hard World
Brian Troutwine
 
Manufacturing System Introduction
Muhammad Muddassir
 
Generating Automated and Online Test Oracles for Simulink Models with Continu...
Lionel Briand
 
Phân tích DEA với dữ liệu lớn trong STATA
jiaquan910
 

Chapter 3 -Built-in Matlab Functions

  • 1. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Built-in Matlab Functions Chapter 3 0 200 400 600 800 1000 0 20 40 60 80 100 Test Scores Student Number Score 0 20 40 60 80 100 0 20 40 60 80 100 120 Distribution of Test Scores Score #ofstudents 0 200 400 600 800 1000 0 20 40 60 80 100 Student Number Score 0 20 40 60 80 100 0 20 40 60 80 100 120 Score #ofstudents Average = 50 Average = 50 Average = 50 Average = 50
  • 2. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour In this chapter we’ll cover • Using Built in Functions • Using the Help Feature • Elementary Math Functions • Trigonometric Functions • Data Analysis Functions • Random Number Functions • Complex Number Functions • Computational Limits • Special Values and Miscellaneous Functions
  • 3. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Matlab uses function names consistent with most major programming languages For example • sqrt • sin • cos • log
  • 4. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Function Input can be either scalars or matrices
  • 5. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Function Input can be either scalars or matrices
  • 6. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Using Predefined Functions • Functions consist of • Name • Input argument(s) • Output sqrt (x)= result In MATLAB sqrt(4) ans = 2
  • 7. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Some functions require multiple inputs • Remainder function returns the remainder in a division problem • For example the remainder of 10/3, is 1
  • 8. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Some functions return multiple results • size function determines the number of rows and columns
  • 9. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour You can assign names to the output
  • 10. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Nesting Functions
  • 11. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour There are functions for almost anything you want to do • Use the help feature to find out what they are and how to use them • From the command window • From the help selection on the menu bar
  • 12. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour From the Command Window
  • 13. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour From the Help Menu
  • 14. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
  • 15. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Elementary Math Functions • abs(x) absolute value • sign(x) plus or minus • exp(x) ex • log(x) natural log • log10(x) log base 10
  • 16. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Rounding Functions • round(x) • fix(x) • floor(x) • ceil(x)
  • 17. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
  • 18. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
  • 19. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Discrete Mathmatics • factor(x) • gcd(x,y) greatest common denominator • lcm(x) lowest common multiple • rats(x) represent x as a fraction • factorial(x) • primes(x) • isprime(x)
  • 20. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Trigonometric Functions • sin(x) sine • cos(x) cosine • tan(x) tangent • asin(x) inverse sine • sinh(x) hyperbolic sine • asinh(x) inverse hyperbolic sine • sind(x) sine with degree input • asind(x) inverse sin with degree output
  • 21. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Data Analysis • max(x) • min(x) • mean(x) • median(x) • sum(x) • prod(x) • sort(x)
  • 22. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour When x is a matrix, the max is found for each column
  • 23. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour max value element number where the max value occurs
  • 24. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Vector of row numbers Vector of maximums
  • 25. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Determining Matrix Size • size(x) number of rows and columns • length(x) biggest dimension
  • 26. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
  • 27. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Variance and Standard Deviation • std(x) • var(x) ( ) 1 1 2 2 − − = ∑= N x N k k µ σ 2 σ σ
  • 28. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Standard Deviation
  • 29. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Random Numbers • rand(x) • Returns an x by x matrix of random numbers between 0 and 1 • rand(n,m) • Returns an n by m matrix of random numbers • These random numbers are evenly distributed
  • 30. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
  • 31. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
  • 32. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
  • 33. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Gaussian Random numbers • randn(n) • Also called a normal distribution • Generates numbers with a mean of 0 and a standard deviation of 1
  • 34. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
  • 35. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
  • 36. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
  • 37. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour To generate random numbers between other bounds… ( ) arabx +⋅−= a and b are the upper and lower bounds r is the array of random numbers
  • 38. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour 0 200 400 600 800 1000 0 20 40 60 80 100 Test Scores Student Number Score 0 20 40 60 80 100 0 20 40 60 80 100 120 Distribution of Test Scores Score #ofstudents 0 200 400 600 800 1000 0 20 40 60 80 100 Student Number Score 0 20 40 60 80 100 0 20 40 60 80 100 120 Score #ofstudents Average = 50 Average = 50 Average = 50 Average = 50
  • 39. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour More about Manipulating Matrices • M(:) • Converts a two dimensional matrix to a single column
  • 40. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
  • 41. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
  • 42. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Complex Numbers • complex(x,y) • real(A) used if A is a complex number • imag(A) • isreal(A) • conj(A) • abs(A) • angle(A) real imaginary
  • 43. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Computational Limits • Matlab’s computational range on most computers is: • 10-308 • 10308 • When you divide by 0, the computer returns Inf
  • 44. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Check the limits on your computer with these commands • realmax • realmin • intmax • intmin
  • 45. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour
  • 46. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour When using very large or very small numbers the result may depend on the order of operation
  • 47. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Special Values and Functions • pi • i,j • Inf • NaN • clock • date • eps • ans Hint: The function i is the most common of these functions to be unintentionally renamed by Matlab users.
  • 48. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Summary • MATLAB contains a wide array of predefined functions • Elementary Math Functions • Trigonometric Functions • Data Analysis Functions • Random Numbers • Complex Numbers
  • 49. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Summary • The colon operator allows you to manipulate matrices
  • 50. Matlab for Engineers 100 200 300 400 500 100 200 300 400 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 Rate of Change time, hour Rateoftemperaturechange,degrees/hour Summary • Computational Limits • Special Values and Functions

Editor's Notes

  • #2: Welcome to Matlab for Engineers – Chapter Three. In this chapter we’ll explore a number of the functions built into Matlab.
  • #3: In particular we’ll cover using builit in functions and the help feature. We’ll look at…. and the computational limits that control our use of these functions.
  • #4: Sin and cos are also standard function names, as is l-o-g for natural logarithm.
  • #5: Let’s take a look at the square root function.
  • #6: Let’s take a look at the square root function.
  • #7: All functions consist of three basic parts
  • #28: Variance and standard deviation are statistical measures of variation in data. The definition of variance
  • #29: This is a representation of data that varies in what is called a normal distribution. It’s the bell curve, that’s often used by teachers to analyze student scores.
  • #30: Matlab can generate random numbers that are distrubuted using two schemes . The first is an even distribution and uses the rand function