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 Manipulating and Solving Equations in MATHCAD

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 30% drawn from coursework
 Set in Week 8
 ≈ 4 exercises
 Copy & Paste from previous work
 70% Project
 Major piece of work
 http://users.aber.ac.uk/dpl/ph36010/projects.htm
 or follow link from course home page

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 2 types of solutions
 Numerical
 Symbolic
 Gives equation (may be a number)
 Can also rearrange, substitute etc.

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 Root()
 Polyroots()
 Find where root(s) of polynomial
 Given … find()
 Generalised numerical solution

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 Finds solution to f(x)=0
 One equation in one unknown
 Needs guess value of x to start
 Plot function first to get value for guess
 Tries to converge to solution

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 Local maxima or minima between root and guess
 Discontinuities
 Complex roots
 Function has no roots
 Use a plot to check

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 Use vector to store coefficients
 Polyroots finds all roots at once
 Finds real and complex roots
 Don’t need initial guess
 Only works with polynomials

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 Gives solution to systems of equations
 Iterative technique
 Handles general equations
 Handles inequalities
 Requires initial guess

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 Manipulate Equations
 Symbolic solutions rather than numeric
 Menu or Palette
 Solve, expand, simplify & factor equations
 Symbolic Differentiation & Integration

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 Use Calculus palette
 Use symbolic evaluation operator (®) <ctrl>.
 Returns symbolic derivative

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 Use calculus palette for integration operators
 Evaluate with and without limits

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 Root() for solving 1 variable
 Polyroots() for solving polynomials
 Solve blocks for systems of equations
 Symbolic Algebra for solving and manipulating equations
