Complex Analysis TI89 App with Step by Step Solutions

Solve Complex Analysis questions stepwise using the TI89 Calculator

	Scroll down to select APP and observe the provided Step by Step solutions to the right. It is worldwide the only Math software that can do this!!!	Click to view the Differentiation and Integration slides at your speed.
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Version 2.0

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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:

SERIES & CONVERGENCE

Option# in head menu	F1: Enter Series	F2: Tests for Convergence	F3: Power Series	F4: Taylor Series	F5: Error
1	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
2	Find terms of an Explicit Sequence:	N-th Term Test for Convergence Does a_n --> 0 as n--> oo ?		Find Taylor Series Representation of f(z) about x=a using n Terms.	Alt Series: Find n.
3	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
4	Sequence Formula Finder:	Integral Test		Differentiate Taylor series of f(z)	Taylor Series for f(z)
5	Partial Sum: Sum Up the first n Terms	Alternating Series Test		Integrate Taylor series of f(z)	Taylor Series \|f^(n+1)(z)\|<M
6	Graph the first n Terms of Series	Ratio Test			Taylor Series: Find n.
7		All-in-One-Tester
8		Comparison Test
9		Limit Convergence Test
A		p-Series Test
		Root Test

Module: Vector Calculus

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

VECTOR CALCULUS

	F1: Derivatives	F2: Integrate	F3: Evaluate	F4: Exit
1	Gradient	Line Integral
2	Dir Derivatives	Arc Length
3	Divergence	Surface Integral
4	Curl	Surface Area
5	Jacobian	Gauss Theorem
6	Hessian	Green's Theorem
7	LaPlacian	Stokes Theorem
8	Taylor's Theorem	Nth Integral

Module: Differential Geometry

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

DIFFERENTIAL GEOMETRY

	F1: Curve	F2: Surface	F3: Evaluate	F4: Exit
1	Frenet Frame	Unit Normal
2	Curvature	Shape Operator
3	Torsion	Gaussian Curvature
4	Involute	Mean Curvature
5	Plane Evolute	First Fundamental
6	ArcLength Function	Second Fundamental
7		Christoffel Symbol
8