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# ▷Vector Calculus Made Easy - Step by Step with the TI-Nspire CX (CAS)◁

## Solve Vector Calculus problems stepwise using the Ti-Nspire Calculator

Runs on TI-Nspire CX CAS only.
It does not run on computers!
 TI-Nspire CX CAS

App Purchase
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Description

Vector Calculus & Analytic Geometry Made Easy is the ultimate educational Vector Calculus tool.

Users have boosted their calculus understanding and success by using this user-friendly product. A simple menu-based navigation system permits quick access to any desired topic.

This comprehensive application provides examples, tutorials, theorems, and graphical animations. Just enter the given function in the provided dialogue box and learn how the correct rule is applied - step by step - until the final answer is derived.

Vectors
• All in one Vector Explorer
• Find Norm
• All in one 2-Vectors Explorer
• Test of Orthogonality
• Find Angle between 2 Vectors
• Test of In/Dependence
• Projection of A to B
• Distance A to B
• Find Cross Product
• Find Orthogonal 3D Vector
• Limit & Differentiation & Integration

• Analytic Geometry
• Find Plane given 3 3D Vectors
• Find Line perpendicular to Plane
• Find Distance Point to Plane
• Intersection: Line & Line
• Intersection: Line & Plane
• Intersection: Plane & Plane
• Tangent and Unit Tangent Vector
• Intersection of 2 Space Curves

• Vectors & Derivatives
• Laplacian of Scalar Field
• Is a 2D Vector Field conservative?
• Find Potential Function of F
• Curvature of Curve
• Torsion of Curve
• Divergence of a 3D Vector Field
• Curl of a 3D Vector Field
• Vector Differentiation

• Vectors & Integrals
• Arc Length of Space Curve
• Definite Integral of Vector Function
• Find Parametrization given 2 Points
• Fundamental Theorem of Calculus given 2 Pts
• Fundamental Theorem of Calculus given Line
• Line Integral 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.
• Work done by Force Field & Parametrization
• Greens Theorem
• Surface Integral: Function & Parametrization
• Surface Integral: Vector Field & Parametrizat.
• Divergence Thm: Rectangular Coordinates
• Stokes' Theorem with t-Parametrization
• Stokes' Theorem with x-y-Param. & Curl
• Vector Integration

• Multivariable Calculus
• Limits
• Relative Extrema
• Chain Rule
• Tangent Plane
• Normal Line & Unit Normalvector
• Lagrange Multiplier - 1 Constraint
• Lagrange Multiplier - 2 Constraints
• Directional Derivative
• Hessian Matrix of
• Multiple Integrals
• Laplace Transforms

• Linear Algebra
• Row Echolon
• Reverse Row Echolon
• Gauss Elimination
• Find EigenValues
• Find EigenVectors
• Find Orthonormal Basis
• Gram Schmidt Procedure
• Find Area of Parallelogram
• Find Volume of Parallelepiped
• Is B a Linear Combination of A1
• Span of Vectors

• Motion & Vector Valued Functions
• Given Position s(t)=(x(t)
• Given Velocity v(t)=(x'(t)
• Find Curve Length given v(t)=(x'(t)
• 3D: Unit Vector
• Parametric Equation of Line passing through 2 Vectors
• Parametric Equation of Plane passing through 3 Vectors

• Parametric Equations
• Eliminate Parameter
• Evaluate and Derivatives
• Find Tangents
• Curve Length
• Enclosed Area
• Volume of Solids
• Surface Area of Solids

• Conversions
• Polar Coordinates <--> (x,y)
• Convert 3D Coordinates