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Matlab Training Session 1: Introduction to Matlab for Graduate Research

Matlab Training Session 1: Introduction to Matlab for Graduate Research. Non-Accredited Matlab Tutorial Sessions for beginner to intermediate level users

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Matlab Training Session 1: Introduction to Matlab for Graduate Research

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  1. Matlab Training Session 1:Introduction to Matlab for Graduate Research

  2. Non-Accredited Matlab Tutorial Sessions for beginner to intermediate level users • Beginner SessionsSession Dates: January 13, 2009 – February 4, 2009 Session times:  Tuesday and Wednesday 3:00pm-5:00pmSession Location: Bracken Library Computer Lab • Intermediate SessionSession Dates: February 10, 2009 – March 4, 2009 Session times:  Tuesday and Wednesday 3:00pm-5:00pmSession Location: Bracken Library Computer Lab Instructors: Robert Marino rmarino@biomed.queensu.ca, (Beginner Sessions) Andrew Pruszynski 4jap1@qlink.queensu.ca (Intermediate Sessions) Course Website: http://www.queensu.ca/neurosci/matlab.php

  3. Non-Accredited Matlab Tutorial Sessions for beginner to intermediate level users Purpose: To teach essential skills necessary for the acquisition, analysis, and graphical display of research data

  4. Non-Accredited Matlab Tutorial Sessions for beginner to intermediate level users Purpose: To teach essential skills necessary for the acquisition, analysis, and graphical display of research data Promote Self Sufficiency and Independence

  5. Course Outline Each weekly session will independently cover a new and progressively more advanced Matlab topic Weeks: • Introduction to Matlab and its Interface • Fundamentals (Operators) • Fundamentals (Flow) • Importing Data • Functions and M-Files • Plotting (2D and 3D) • Statistical Tools in Matlab • Analysis and Data Structures

  6. Week 1 Lecture Outline An Introduction to Matlab and its Interface A. Why Matlab? Some Common Uses for Matlab in Research

  7. Week 1 Lecture Outline An Introduction to Matlab and its Interface A. Why Matlab? Some Common Uses for Matlab in Research B. Understanding the Matlab Environment: • Navigating the Matlab Desktop • Commonly used Toolbox Components • Executing Commands • Help and Documentation

  8. Week 1 Lecture Outline An Introduction to Matlab and its Interface A. Why Matlab? Some Common Uses for Matlab in Research B. Understanding the Matlab Environment: • Navigating the Matlab Desktop • Commonly used Toolbox Components • Executing Commands • Help and Documentation C. Using Matlab: • Matrices, Scalars and Arrays • Useful Commands • Searching and Indexing • Saving and Reloading Work

  9. Week 1 Lecture Outline An Introduction to Matlab and its Interface A. Why Matlab? Some Common Uses for Matlab in Research B. Understanding the Matlab Environment: • Navigating the Matlab Desktop • Commonly used Toolbox Components • Executing Commands • Help and Documentation C. Using Matlab: • Matrices, Scalars and Arrays • Useful Commands • Searching and Indexing • Saving and Reloading Work D. Exercises

  10. Why Matlab? • Matrix Labratory • Created in late 1970’s • Intended for used in courses in matrix theory, linear algebra and numerical analysis

  11. Why Matlab? • Matrix Labratory • Created in late 1970’s • Intended for used in courses in matrix theory, linear algebra and numerical analysis • Currently has grown into an interactive system and high level programming language for general scientific and technical computation

  12. Why Matlab? Common Uses for Matlab in Research • Data Acquisition • Multi-platform, Multi Format data importing • Analysis Tools (Existing,Custom) • Statistics • Graphing • Modeling

  13. Why Matlab? Data Acquisition • A framework for bringing live, measured data into MATLAB using PC-compatible, plug-in data acquisition hardware

  14. Why Matlab? Multi-platform, Multi Format data importing • Data can be loaded into Matlab from almost any format and platform • Binary data files (eg. REX, PLEXON etc.) • Ascii Text (eg. Eyelink I, II) • Analog/Digital Data files PC 100101010 UNIX Subject 1 143 Subject 2 982 Subject 3 87 …

  15. Why Matlab? Analysis Tools • A Considerable library of analysis tools exist for data analysis • Provides a framework for the design, creation, and implementation of any custom analysis tool imaginable

  16. Why Matlab? Statistical Analysis • A considerable variety of statistical tests available including: • TTEST • Mann-Whitney Test • Rank Sum Test • ANOVAs • Linear Regressions • Curve Fitting

  17. Why Matlab? Graphing • A Comprehensive array of plotting options available from 2 to 4 dimensions • Full control of formatting, axes, and other visual representational elements

  18. Why Matlab? Modeling • Models of complex dynamic system interactions can be designed to test experimental data

  19. Understanding the Matlab Environment: • Navigating the Matlab Desktop

  20. Understanding the Matlab Environment: • Navigating the Matlab Desktop • Commonly Used Toolboxes

  21. Understanding the Matlab Environment: • Navigating the Matlab Desktop • Commonly Used Toolboxes • Executing Commands • Basic Calculation Operators: • + Addition • - Subtraction • * Multiplication • / Division • ^ Exponentiation

  22. Using Matlab • Solving equations using variables • Expression language • Expressions typed by the user are interpreted and evaluated by the Matlab system • Variables are names used to store values • Variable names allow stored values to be retrieved for calculations or permanently saved • Variable = Expression • Or • Expression • **Variable Names are Case Sensitive!

  23. Using Matlab • Solving equations using variables • Expression language • Expressions typed by the user are interpreted and evaluated by the Matlab system • Variables are names used to store values • Variable names allow stored values to be retrieved for calculations or permanently saved • Variable = Expression • Or • Expression • **Variable Names are Case Sensitive! >> x * y Ans = 12 >> x / y Ans = 3 >> x ^ y Ans = 36 >> x = 6 x = 6 >> y = 2 y = 2 >> x + y Ans = 8

  24. Using Matlab • Working with Matrices • Matlab works with essentially only one kind of object, a rectangular numerical matrix • A matrix is a collection of numerical values that are organized into a specific configuration of rows and columns. • The number of rows and columns can be any number • Example • 3 rows and 4 columns define a 3 x 4 matrix having 12 elements

  25. Using Matlab • Working with Matrices • Matlab works with essentially only one kind of object, a rectangular numerical matrix • A matrix is a collection of numerical values that are organized into a specific configuration of rows and columns. • The number of rows and columns can be any number • Example • 3 rows and 4 columns define a 3 x 4 matrix having 12 elements • A scalar is a single number and is represented by a 1 x 1 matrix in matlab. • A vector is a one dimensional array of numbers and is represented by an n x 1 column vector or a 1 x n row vector of n elements

  26. Using Matlab Working with Matrices c = 5.66 or c = [5.66] c is a scalar or a 1 x 1 matrix 

  27. Using Matlab Working with Matrices c = 5.66 or c = [5.66] c is a scalar or a 1 x 1 matrix  x = [ 3.5, 33.22, 24.5 ] x is a row vector or a 1 x 3 matrix 

  28. Using Matlab Working with Matrices c = 5.66 or c = [5.66] c is a scalar or a 1 x 1 matrix  x = [ 3.5, 33.22, 24.5 ] x is a row vector or a 1 x 3 matrix  x1 = [ 2 5 3 -1] x1 is column vector or a 4 x 1 matrix

  29. Using Matlab Working with Matrices c = 5.66 or c = [5.66] c is a scalar or a 1 x 1 matrix  x = [ 3.5, 33.22, 24.5 ] x is a row vector or a 1 x 3 matrix  x1 = [ 2 5 3 -1] x1 is column vector or a 4 x 1 matrix A = [ 1 2 4 2 -2 2 0 3 5 5 4 9 ]A is a 4 x 3 matrix

  30. Using Matlab • Working with Matrices • Spaces, commas, and semicolons are used to separate elements of a matrix

  31. Using Matlab • Working with Matrices • Spaces, commas, and semicolons are used to separate elements of a matrix • Spaces or commas separate elements of a row • [1 2 3 4] or [1,2,3,4]

  32. Using Matlab • Working with Matrices • Spaces, commas, and semicolons are used to separate elements of a matrix • Spaces or commas separate elements of a row • [1 2 3 4] or [1,2,3,4] • Semicolons separate columns • [1,2,3,4;5,6,7,8;9,8,7,6] = [1 2 3 4 • 5 6 7 8 • 9 8 7 6]

  33. Using Matlab • Indexing Matrices • A m x n matrix is defined by the number of m rows and number of n columns • An individual element of a matrix can be specified with the notation A(i,j) or Ai,j for the generalized element, or by A(4,1)=5 for a specific element.

  34. Using Matlab • Indexing Matrices • A m x n matrix is defined by the number of m rows and number of n columns • An individual element of a matrix can be specified with the notation A(i,j) or Ai,j for the generalized element, or by A(4,1)=5 for a specific element. • Example: • >> A = [1 2 4 5;6 3 8 2] A is a 4 x 2 matrix • >> A(1,2) • Ans 6 • The colon operator can be used to index a range of elements • >> A(1:3,2) • Ans 1 2 4

  35. Using Matlab • Indexing Matrices • Specific elements of any matrix can be overwritten using the matrix index • Example: • A = [1 2 4 5 • 6 3 8 2] • >> A(1,2) = 9 • Ans • A = [1 2 4 5 • 9 3 8 2]

  36. Using Matlab • Matrix Shortcuts • The ones and zeros functions can be used to create any m x n matrices composed entirely of ones or zeros • Example • a = ones(2,3) • a = [1 1 • 1 1 • 1 1] b = zeros(1,5) b = [0 0 0 0 0]

  37. Using Matlab • Data Types and Formats • The semicolon operator determines whether the result of an expression is displayed • who lists all of the variables in your matlab workspace • whos list the variables and describes their matrix size

  38. Using Matlab • Saving your Work • To save data to a *.mat file: • Typing ‘save filename’ at the >> prompt and the file ‘filename.mat’ will be saved to the working directory • Select Save from the file pull down menu • To reload a *.mat file • 1. Type ‘load filename’ at the >> prompt to load ‘filename.mat’ • (ensure the filename is located in the current working directory) • 2. Select Open from the file pull down menu and manually find the datafile

  39. Getting Help • Help and Documentation • Digital • Updated online help from the Matlab Mathworks website: • www.mathworks.com/access/helpdesk/help/techdoc/matlab.html • Matlab command prompt function lookup • Built in Demo’s • Websites • Hard Copy • Books, Guides, Reference • The Student Edition of Matlab pub. Mathworks Inc.

  40. Exercises Enter the following Matrices in matlab using spaces, commas, and semicolons to separate rows and columns: A = B = D = D = C = E = a 5 x 9 matrix of 1’s

  41. Exercises Use the who and whos functions to confirm all of the variables and matrices in the work space are present and correct A = B = D = D = C = E = a 5 x 9 matrix of 1’s

  42. Exercises Change the following elements in each matrix: 76 76 0 A = B = 0 D = 76 0 D = C = 76 E = a 5 x 9 matrix of 1’s 76

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