Complex Analysis TI89 App with Step by Step Solutions

Solve Complex Analysis questions stepwise using the TI89 Calculator

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the only Math software that can do this!!!   

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Version 2.0

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-Read the CAME User Guide

  F1:  Basics F2:  Analysis F3: Integrals F4: Transforms F5: More F6:  Exit
1 Identities and Formulas Limit Properties Find Indefinite Integrals Laplace Transform: Definition and Examples Taylor and PowerSeries (Steps) Exit
2 Complex Numbers (Steps) Compute Limit of f(z) (Steps) Show Steps to find Indefinite Integral Solve DEQ using Laplace Transforms (Steps) Vector Calculus About
3 Compute and Evaluate Compute Limit of f(x,y) (Steps) Definite Integral (Steps) Laplace Transform (Steps) Differential Geometry  
4 Solve any Complex Equations Continuity Definition Integration Rules Inverse Laplace Transform Partial Fractions (Steps)  
5 Complex Roots of Unity Use Cauchy Riemann Equations (Steps) Compute Curve  Integrals (along a path) (Steps) Inverse Laplace Transform (Steps) Complex Partial Fractions (Steps)  
6 Complex n-th Roots Check if f(z) is analytic. (Steps)  Compute Contour Integrals (Steps) Fourier Series (Steps)    
7 Solve z^n=w Find Derivative (1. , 2. , 3. ) and Evaluate it.         
8 f(z) Explorer (Steps) Show Steps to find Derivative        
9 Find Pole & Residue (Steps) Find f from u(x,y) (Steps)        
A f(x,y) Explorer (Steps) Theorems on Analytic Functions        
B f(z) to f(x,y) Conversion (Steps) Find f from u(x,y)        
C Complex Exponential Function w=e^z Harmonic Functions (Steps)        
D Complex Logarithm Harmonic Conjugate (Steps)        
E Complex Powers Conformal Mapping        
F Complex TrigFunctions          
G Compute √(a+bi) (Steps)          
H Complex DotProduct          
I Complex CrossProduct          
J Compute Divergence (Steps)          
K Compute Curl (Steps)          
L Compute Gradient (Steps)          
M Compute Potential (Steps)          




Module: Complex Numbers

  F1:  Edit / View F2:  Operations F3: Steps F4: Tutorial F5: Exit
1 Edit Solve any Complex Equation Convert Polar to Cartesian Form Tutorial Exit
2 View Compute/ Evaluate Convert r cis θ to Cartesian Form    
3 Graph Z1 Complex UnityRoots Convert Cartesian Form to Polar    
4 Graph Z2 Complex n-th root Convert Cartesian Form to  r cis θ    
5 Graph Z1, Z2, Z1+Z2 Solve z^n=w Add Complex Numbers    
6 Graph |Z-Zo|=R and many others regions Z1+Z2 Subtract Complex Numbers    
7   Z1-Z2 Multiply Complex Numbers    
8   Z2-Z1 Divide Complex Numbers    
9   Z1*Z2 Exponentiate Complex Numbers    
A   Z1/Z2 Perform DeMoivre Theorem    
B   Z2/Z1      
C   Conjugate(Z1)      
D   Z1*Conjugate(Z1)      
E   |Z1|      
F   |Z2|      
G   Z1^n      
H   Z2^n      
I   Write own equation      
J   Arg(z)      





  The Series and Convergence Module

The following gives an overview of all functions in the Series and Convergence Module:  




Option# in head menu

F1: Enter Series

F2: Tests for Convergence

F3: Power Series

F4: Taylor Series

F5: Error


Find terms of a Recursive  Sequence:
Enter Equation of Series

Find Interval of Convergence of a Power Series using Ratio Test.

Graph f(z) and its power series representation about z=a using n Terms.


Alt Series


Find terms of an Explicit  Sequence:

N-th Term Test for Convergence
Does an --> 0 as n--> oo ?   


Find Taylor Series Representation of f(z) about x=a using n Terms.

Alt Series: Find n. 


Sequence Convergence Tester:

Geometric Series Test


Find Taylor Series about z=a using its definition. Use it to approx.
f(z) near x=a. Also differentiate and integrate it. 

Alt Taylor Series


 Sequence Formula Finder:

Integral Test  


Differentiate Taylor series of f(z) 

Taylor Series for f(z) 


Partial Sum:
Sum Up the first n Terms

Alternating Series Test  


Integrate Taylor series of f(z)

Taylor Series |f^(n+1)(z)|<M


Graph  the first n Terms of Series

Ratio Test  



Taylor Series: Find n. 






  Comparison Test        


  Limit Convergence Test      


  p-Series Test       
    Root Test      




 Module: Vector Calculus 

The following gives an overview of all functions in the Vector Calculus  Module:  




F1: Derivatives

F2: Integrate

F3: Evaluate

F4: Exit


Gradient Line Integral    


Dir Derivatives Arc Length    


Divergence Surface Integral    


Curl Surface Area    


Jacobian Gauss Theorem    


Hessian Green's Theorem    


LaPlacian Stokes Theorem    


Taylor's Theorem Nth Integral    




 Module: Differential Geometry 

The following gives an overview of all functions in the Differential Geometry Module:  




F1: Curve

F2: Surface

F3: Evaluate

F4: Exit


Frenet Frame Unit Normal    


Curvature Shape Operator    


Torsion Gaussian Curvature    


Involute Mean Curvature    


Plane Evolute First Fundamental    


ArcLength Function Second Fundamental    


  Christoffel Symbol