# Using MathCAD - PowerPoint PPT Presentation

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Using MathCAD. SCC Spring-08 Electronic Technology Wang Ng x-2638 ngw@scc.losrios.edu. 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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#### Presentation Transcript

SCC Spring-08

Electronic Technology

Wang Ng

x-2638

ngw@scc.losrios.edu

### Overview

• Using MathCAD as an interactive calculator

• Equation solver

• Convenient features

• Example : AC calculations

• Conclusion

### General features

• 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

• The Calculator Tool Bar

• The “=“ key (It is the output command)

• Examples:

• 1+1=2 1/3=0.333

• sin(1)=0.841sin(1deg)=0.017

• 1mi=1931m1mi=6336ft

• Interactive: just edit the numbers

• sin(45deg)=0.707

### 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

• 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

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

• 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, …

• 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, …

R1

R2

C2

L

R3

C1

### Conclusion

MathCAD is a versatile teaching tool:

• Calculation steps (formulas)

• Demonstrate specific effects

• Graphics

• Exam/Homework problems

• Partial credit

• Course note