A Python Complex Analysis Program

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Presentation transcript:

A Python Complex Analysis Program Leah Winfrey

Why I chose to do this Wolframalpha Learn more about the properties of complex numbers

Options Simplify a complex equation Modulus of a Complex Number Ex: -34i^5 + 87i^1834 = -87 - 34i Modulus of a Complex Number Ex: 15 - 2i = sqrt(229) = 15.1327 Polar form of a Complex Number Ex: sqrt(2) + 15i = (15.07, 84.6˚) Solve a quadratic equation with Complex Numbers az^2 + bz + c = 0 where a, b,c are complex numbers Ex: z^2 + (2i - 3)z + 5 - i = 0 Solutions: 1 + i and 2 - 3i

How to use it Download necessary computer software and download program here http://bit.ly/1Wj5aVh Use this link and run the program without the software http://bit.ly/1XOAiuA

1 = Simplify a complex equation How many terms are there? Enter the terms 2 = Modulus of a Complex Number What is the complex number? 3 =Polar form of a Complex Number 4 = Solve a quadratic equation with Complex Numbers What is the complex number of a? b? c?

1 = Simplify a complex equation How many terms are there? Enter the terms 2 = Modulus of a Complex Number What is the complex number? 3 =Polar form of a Complex Number 4 = Solve a quadratic equation with Complex Numbers What is the complex number of a? b? c?

1 = Simplify a complex equation How many terms are there? Enter the terms 2 = Modulus of a Complex Number What is the complex number? 3 =Polar form of a Complex Number 4 = Solve a quadratic equation with Complex Numbers What is the complex number of a? b? c? * we input: -9i^56, 56i^13, 984, -584i

1 = Simplify a complex equation How many terms are there? Enter the terms 2 = Modulus of a Complex Number What is the complex number? 3 =Polar form of a Complex Number 4 = Solve a quadratic equation with Complex Numbers What is the complex number of a? b? c?

1 = Simplify a complex equation How many terms are there? Enter the terms 2 = Modulus of a Complex Number What is the complex number? 3 =Polar form of a Complex Number 4 = Solve a quadratic equation with Complex Numbers What is the complex number of a? b? c? * we input: sqrt(56) + 48i

1 = Simplify a complex equation How many terms are there? Enter the terms 2 = Modulus of a Complex Number What is the complex number? 3 =Polar form of a Complex Number 4 = Solve a quadratic equation with Complex Numbers What is the complex number of a? b? c?

1 = Simplify a complex equation How many terms are there? Enter the terms 2 = Modulus of a Complex Number What is the complex number? 3 =Polar form of a Complex Number 4 = Solve a quadratic equation with Complex Numbers What is the complex number of a? b? c?

A few caveats to this program Option 1 (simplification) can only handle integer inputs and i-values Can’t use sqrt(x) or sqrt(x)i Can’t do (5 + 3i)^2 + (89 - 2i) Option’s 2 - 4 must be entered in x +/- yi form Can’t be x+yi Must do 1 + 0i for 1 OR 0 + i for i Can use sqrt(x) or -sqrt(x)!! http://bit.ly/1Wj5aVh (<-- download program) http://bit.ly/1XOAiuA (<-- website link)