TiNspire users can solve Complex Numbers and Complex Functions – Step by Step – using the Complex Analysis Made Easy app at www.TiNspireApps.com :
The App is comprehensive and capabilities can be viewed below, the free trial can be downloaded at www.TinspireApps.com/trials
Capabilities:
- Step by Step Complex Numbers
- Step by Step Analytic and Harmonic Functions
- Step by Step Cauchy-Riemann Conditions
- Step by Step Solve Contour Integrals
- Step by Step Poles and their Order
- Step by Step Residues and their Sums
- Step by Step Solve Complex Equations
- Step by Step Solve Quadratic Equations
- Step by Step Differentiation and Integration
- Solve any Equation or Inequality
- One Complex Number: All-in-one-Explorer
- Two Complex Numbers: All-in-one-Explorer
- De Moivre Theorem : (a+bi)^n
- De Moivre Theorem : r*(cos(x)+sin(x)*i)^n
- Roots of Unity : z^n=1
- Remainder Theorem
- Find Partial Fractions
- Factor
- Expand/Distribute
- Evaluate f(z)
- Find Poles of f(z)
- Find the Order of Poles of f(z)
- Pole-Zero Plot
- Find Residues of f(z) and their Sum
- Find Limits: lim z->c f(z)
- Do the Quadratic Equation
- Compute Discriminant
- Complete the Square
- Complete the Square to find Zeros
- Complete the Square to find Vertex
- Is Complex f Analytic?
- Check Cauchy-Riemann Conditions
- Is f Harmonic?
- Find the Harmonic Conjugate Function
- Find f'(z) and f”(z)
- Evaluate f'(z) and f”(z)
- Step by Step Differentation
- Find Curl, Gradient, Divergence
- Find Laurent Series at Poles
- Find Integral f(z)dz
- Find Definite Integral (z)dz over [z1,z2]
- Find Contour Integral Integral f(z)dz
- Find Curve Integral Integral f(z)dz
- Find Antiderivative & Constant of Integration: Integral f(x)dx + C
- Step by Step Integration: Integral f(x)dx
- Laplace Transforms
- Solve 2. order Diff Eq using Laplace Transforms
- Solve 3. order Diff Eq using Laplace Transforms
- Table of Laplace Transforms
- Inverse Laplace Transform
- Fourier Transform of Piecewise Def Function
- Fourier Transform of f(t)
- Inverse Fourier Transform
- Table of Fourier Transforms
- Table of Z-Transforms
- Solve any 1. order Differential Equation
- M(x,y)dx+N(x,y)dy=0
- Linear in y Differential Equation
- Newtons Law of Cooling / Heating
- Euler Method given n=Number of Pts.
- Solve any 2. order D.E.
- Homogeneous Differential Equation
- Non-Homogeneous Differential Equation
- Read about Vectors
- All in one Vector Explorer
- Find Norm
- All in one 2-Vectors Explorer
- Find Angle between 2 Vectors
- Find Cross Product
- Gradient Vector Field
- Laplacian of Scalar Field
- Divergence of a 3D Vector Field
- Curl of a 3D Vector Field
- Line Integral Integral(f1dx+f2dy) over Curve C
- Area under Param. Curve using Line Integral
- Line Integral given Function & Parametrization
- Line Integral given Function & 2 Points
- Line Integral given Vector Field & Parametriz.
- Greens Theorem Integral(Pdx+Qdy)
- Greens Theorem Integral(Pdy+Qdx)
- Surface Integral: Function
- Surface Integral: Function & t-u-Parametrization
- Surface Integral: Vector Field
