

Solve Complex
Analysis problems instantly...Step by Step 



Complex
Numbers Step by Step: Add, Subtract, Multiply, Divide,
Exponentiation, Convert Cartesian to Polar
(Exponential) Coordinates,
Polar to Cartesian Coordinates, Read Tutorial with
Examples. Graph Complex Numbers.

Perform DeMoivre Theorem
Step by Step

Compute ,
Evaluate expressions involving Complex Numbers, Take the
Square Root (Step by Step) , Find the Conjugate, Compute Arg(z), Modulus(z)

Solve any
Complex Equation

Read
Basics on Complex Analysis and Identities involving
Trigonometric , Logarithmic, Exponential and Polynomial
Functions, DeMoivre Theorem

f(z) and
f(x,y) Step by Step Explorer finds zeros,
conjugates, divergence, potential, gradient, curl,
expands or factors expressions.

Compute
Roots of Unity and Complex nth Roots Step by
Step

Find
Poles and Residuals of Functions Step by
Step.

ANALYSIS: Find Limits and
Derivatives Step by Step, Use CauchyRiemann
Equations to check if Function is Analytic /
Holomorph Step by Step.

Check if
Function is Harmonic, Find Harmonic Conjugate
Function (Step by Step). Find Function f(x,y)
given its real part u(x,y) .

INTEGRALS: Find Indefinite Integrals Step by
Step. Compute Definite Integrals. Read
Integration Rules.

Compute
Curve Integrals along a path , Compute Contour
Integrals using Function's Residuals (Step by Step).

FURTHER:
Find Taylor Series and its Interval and Radius
of Convergence. Determine its Errors. Check any
Series for Convergence using Alternating Series Test.,
Geometric Series Test, the Integral Test. Find the Sum
of any converging Series.

Perform
Partial Fraction Decomposition Step by Step incl.
the Cover up Method.

Read
Theorems on Analytic Functions (Morera, Cauchy , etc
)

Read
Definition of Continuity, Properties and Rules of
Limits, Rules of to find Derivatives.

Read the
Derivatives and Integrals of Power, Trig, Exponential
and Logarithm Functions.

Read about
Conformal Mapping.

Vector
Calculus: Do the following: Derivatives, Gradient,
Directional Derivative, Curl, Jacobian, Hessian,
Laplacian, Taylors Theorem, Line Integrals, ArcLength,
Surface Integrals, Surface Area, Gauss' Theorem, Green's
Theorem, Stokes' Theorem, Nth Integral.

Differential Geometry: Frenet Frame, Curvature,
Torsion, Involute, Plane Evolute, ArcLength Function,
Unit Normal, Shape Operator, Mean Curvature, 1. and 2.
Fundamental, Christoffel Symbol.

Ideal for
quick review and homework check.

Easy to
use. Just plug in and the
correct answer shows.

Read the Documentation

Read the CAME User Guide

DOWNLOAD HERE


Sample
Capabilities: 





The main menu















Overview 














Complex Numbers 














Compute and Evaluate Expression 














Complex Numbers computations
Step by Step 

Example:
Divide 2 complex numbers Step by Step













Apply
DeMoivre Theorem
Step by Step 














Convert Cartesian to Polar Coordinates
Step by Step 














Compute Pole and Residues Step by Step 














Compute Square Roots
Step by Step 














Explore Functions f(z)
Expand, Factor, Zeros, Poles 














Convert Complex Functions f(z) to f(x,y)
Step by Step 














Solve any Complex Equation 














Explore Functions f(x,y)
Expand, Factor, Zeros, Conjugate, Curl, Divergence,
Gradient, Potential 














Complex Roots of Unity 














Steps to find f'(z) 














Verify Cauchy Riemann Equations
Step by Step 














Find Harmonic Conjugate
Step by Step 














Check if Function is Harmonic
Step by Step 














Find analytic function
f(x,y) from its real part
u(x,y)
Step by Step 














Integrate f(z)
Step by Step 














Curve Integrals
Step by Step 














Contour Integrals
Step by Step 














Laplace Transform
Step by Step 














Partial Fractions
Step by Step 














Inverse LaPlace Transform
Step by Step 














Solve Differential Equations using LaPlace Transform
Step by Step 































