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Introduction to MathCAD: Laboratory Techniques in Data Processing and Analysis

This introduction to MathCAD focuses on essential laboratory techniques for data processing. Key topics include the use of indices, range variables, vectorise operator, and summation. Learn how to effectively read data files and utilize arrays with various indexing methods. The tutorial covers practical examples of vectors and matrices, demonstrating the application of matrix mathematics and data analysis in laboratory settings. Mastering these techniques will enhance your ability to manage complex data and perform detailed calculations within MathCAD.

aaron-higgins
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Introduction to MathCAD: Laboratory Techniques in Data Processing and Analysis

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  1. PH15010 Laboratory Techniques - An Introduction to MATHCAD

  2. Introduction • Indices • Range Variables • The vectorise operator • Summation • Reading data files

  3. Addressing Arrays with Indices • Index addressing allows access to individual elements of array • Examine & Set elements • Indices start at 0 • Indices use [ key • 2D matrices use two indices for row, column selection

  4. Indices #1 Vector Example • Simple 2 element vector • Examine elements • Set element 0 • Result of setting

  5. Indices #2Matrix Example • Sample matrix • Examine elements • Subscript too big • Set element • Result

  6. Vectorise Operator #1 • From matrix toolbar • Forces evaluation on element by element basis • Overrides normal matrix maths • ‘dot’ product • Determinant |M| • Powers Mx

  7. Dot product With vectorise operator Vectorise Operator #2

  8. Text Subscript . key Just a name 1 placeholder Array Subscript [ key Index into array 1 placeholder for name + 1 placeholder per index Don’t confuse Text and array subscripts If in doubt, don’t use text subscripts

  9. Range Variables • Take on a series of values • Define using semicolon [;]

  10. Range Variables #2 • Restrictions on where used • ‘illegal context’ error message • Useful for filling arrays

  11. Filling Arrays using RVs • Define RV • Use RV in array index & expression

  12. Processing Arrays using RVs • Use RV in expressions to create output array from input array

  13. Range Variables with different step sizes • Can create RVs with different step sizes. • Enter first 2 values separated by comma [,] before typing [;]

  14. Summation #1 • Summation operator on matrix palette • Sum of all elements in a vector

  15. Summation #2 • Operators on Calculus palette • Do summation on any expression • 2 forms • Plain => defines local RV • Range Variable => uses existing RV

  16. Sum of first 5 integers Sum of elements 20-30 of vector Counts Summation #3

  17. 2 terms 4 terms 9 terms Summation #4Reciprocals of factorials

  18. Data Files • Used Input table to put data into MathCAD by hand. • Can use Import on input table to get from a file (makes a copy) • Select table & right-click • Also can link to data file with File Read Component (preferred)

  19. Reading Data Files #1 • File Read Component • Reads from datafile  array • Text files • Numbers separated by comma or tab • Other formats supported

  20. Reading Data Files #2 • Insert|Component…|File Read or Write • Wizard: • (Select file type) • Browse for file • Finish • Give name for array

  21. Reading Data Files #3 • Example

  22. This weeks worksheet • Arrays & Indices • Columns (Revision) • Submatrix() function • Other array functions • Reading data from file • Analysis of data

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