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Using MathCAD. SCC Spring-08 Electronic Technology Wang Ng x-2638 [email protected] Overview. About MathCAD Using MathCAD as an interactive calculator Using MathCAD with formulas Equation solver Convenient features Advanced features Example : AC calculations Conclusion.

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using mathcad

Using MathCAD

SCC Spring-08

Electronic Technology

Wang Ng

x-2638

[email protected]

overview
Overview
  • About MathCAD
  • Using MathCAD as an interactive calculator
  • Using MathCAD with formulas
  • Equation solver
  • Convenient features
  • Advanced features
  • Example : AC calculations
  • Conclusion
general features
General features
  • MathCAD
    • WYSIWYG
    • K to 4-year College level.
    • Simple, easy to use.
    • Not intended for heavy-duty number crunching.
  • MatLab
    • Programming style.
    • Up to M.S. level
    • Extensive training required.
    • Suitable for heavy-duty number crunching.
calculator mode
Calculator Mode
  • The Calculator Tool Bar
  • The “=“ key (It is the output command)
  • Examples:
    • 1+1=2 1/3=0.333
    • sin(1)=0.841 sin(1deg)=0.017
    • 1mi=1931m 1mi=6336ft
  • Interactive: just edit the numbers
    • sin(45deg)=0.707
complex calculations
Complex Calculations
  • Use i or j for the imaginary part
    • (5+3j)+(2-4j)= (5+3j)-(2-4j)=
    • (5+3j)*(2-4j)= (5+3j)/(2-4j)=
    • (5+3j)^2= =
  • Polar/Rectangularconversion:
    • |5+3j|=
    • arg(5+3j)= (type deg)
    • 2e^45j*deg=
  • “j” can be placed in front by typing: 1j*45deg
formulas
Formulas
  • You need to provide data: use the “:” key as the input command (it will look like :=).
  • Then you need to enter the formula.
  • Use the “=“ key to obtain the result.
  • Example: Enter the followings
    • E:3V
    • R:2
    • I:E/R
    • I=
equation solver
Equation solver

Find(x,y,...)

Solves a system of equations.

Minerr(x,y,...)

Approximate solution to a system of equations.

root(f(x),x,a,b)

Solves one equation in one unknown.

lsolve(M,v)

Solves a system of linear equations.

polyroots(v)

Solves for the roots of the polynomial whose coefficients are in v.

convenient features
Convenient features
  • Use the worksheet as handouts.
  • Specify the unit of the results.
  • Change the input data and the results will be updated automatically.

Note: Data must be placed above formulas.

  • Many built-in functions (root, …)
  • Comments can be entered after the “ key.
  • You can save the worksheet.
  • Resource center: Tutorials, quick sheets, …
advanced features
Advanced features
  • Symbolic process: The symbolic menu bar
    • Examples: type x^2”space”-1”space” and then select “Factor” from the symbolic menu bar.
  • Graphs: see attached Bode Plot example.
  • Array and range variables: Use the “;” key. See attached example.
  • Programming: The programming menu bar has the basic programming commands.
  • Calculus, differential equations, matrices, optimization, statistics, …
conclusion
Conclusion

MathCAD is a versatile teaching tool:

  • Calculation steps (formulas)
  • Demonstrate specific effects
  • Graphics
  • Exam/Homework problems
  • Partial credit
  • Course note