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Thank you for visiting our site! You landed on this page because you entered a search term similar to this: maple solve nonlinear multivariable two equations problems examples. We have an extensive database of resources on maple solve nonlinear multivariable two equations problems examples. Below is one of them. If you need further help, please take a look at our software "Algebrator", a software program that can solve any algebra problem you enter!

Multivariable Calculus in the Lab

A collection of Maple V R3 Worksheets

Used in Math 222 at Cornell, Fall 1994

Some Maple Release 7 Versions (and Related) Worksheets are now available here.

This collection of worksheets was written for Maple V R3 on the Macs. It was a first time using these materials, so there are rough edges to be improved upon.

The Mac interface to Maple is a very nice one, although significantly different from the Unix xmaple and Windows interfaces. In particular it supports the pasting of color pictures into worksheets. Also, these worksheets use multi-line input at times, and hence rely on the Mac option that only the enter key sends input to Maple.

The worksheets can be accessed by any of:

Download Entire Collection (as Math_222.sea.hqx) in Mac Format

Table of Contents

Worksheet Summaries

  • Handout 1: Exploration of some quadric surfaces. Level curves.
  • Handout 2: Multivariable limits.
  • Handout 3: Linear approximation of mappings from a plane to itself, level curves, and gradient vector fields.
  • Handout 4: Velocity and acceleration of curves, geometry of reflection.
  • Handout 5: Phase plane sketches. Linear approximation. Relation to div and curl.
  • Handout 6: Least squares, approximation by Taylor series, error estimates., quadric surfaces worksheet.
  • Handout 7: Exploration of relation of local extrema of functions to flowlines of their gradient vector fields.Classification of equilibria.
  • Handout 8: Plots of three dimensional regions associated with triple integrals.
  • Projects for Math 222: A launching point for student projects involving computer use.

Topics and Maple Command Index

animation in 2D
2D Plotting (using_maple)
Limits (week_2) applying a function to each entry of ...
Vector Identities (week_4) binomial coefficients
2D Plotting (using_maple) change of coordinates in quadratic forms
Quadrics and Eigenvalues (week_6) colons
Mac Interface Intro (using_maple) colors, text
Mac Interface Intro (using_maple) combining 2D plots
2D Plotting (using_maple) combining 3D plots
3D Plotting (using_maple) constructing the linear approximation of a transformation
Linear Approximation (week_3) contourplot
3D Plotting (using_maple) contourplot
Surfaces I (week_1) creating vectors
Vector Identities (week_4) cross product
Vector Identities (week_4) curl computation
Vector Identities (week_4) curl of a cross product
Vector Identities (week_4) curves with corners
Curves (week_4) data types in Maple
Maple Data Structures (using_maple) derivatives as matrices
Linear Approximation (week_3) differential equations, direction fields
Fieldplot and Numerical ODEs (week_5) differential equations, numerical solution of
Fieldplot and Numerical ODEs (week_5) differential equations, symbolic solution of
Fieldplot and Numerical ODEs (week_5) differentiation
Basic Maple (using_maple) displaying a precomputed graphics structure
3D Plotting (using_maple) divergence calculation
Vector Identities (week_4) divergence of a cross product
Vector Identities (week_4) dot product
Vector Identities (week_4) draw flows package
Flow Results (week_5) dsolve
Fieldplot and Numerical ODEs (week_5) eigenvalues
Quadrics and Eigenvalues (week_6) eigenvectors
evaluating as a floating point number
flow animations of a vector field
Flow Results (week_5) Frenet frame package
function, evaluating
Basic Maple (using_maple) geometric interpretation of div and curl
Flow Results (week_5) gradient computation
Vector Identities (week_4) gradient in spherical coordinates
Vector Identities (week_4) gradient vector fields, plotting of
Green's theorem for a triangle
Green's Theorem for a Triangle (week_12) grid option in 3D plotting
help, online
Mac Interface Intro (using_maple) hyperboloids
Surfaces I (week_1) implicit curve plotting in 2D
Lagrange Multipliers (week_7) implicit function theorem failure
Implicit Function Example (week_7) implicit plotting in 2D
2D Plotting (using_maple) implicit plotting in 3D
Surfaces I (week_1) integration
Basic Maple (using_maple) integration, 2D numerical
Using Num_int_2D (week_11) integration, numeric
Setup Example (week_8) integration, symbolic
Setup Example (week_8) interrupting calculations
labels option in 3D plotting
Surfaces I (week_1) Lagrange multipliers
Lagrange Multipliers (week_7) Lagrange multipliers numerical example
Lagrange Numerical Example (week_7) laplacian calculation
Vector Identities (week_4) laplacian on vectors
Vector Identities (week_4) least squares derivation
Least Squares (week_6) length of a list, set, ...
Basic Maple (using_maple) level curves
Gradplot Examples (week_3) limits (multivariable) geometrically
Limits (week_2) line integrals, numerical caculation of
Line Integrals (week_10) list of points plotting in 2D
Moebius strip
Orientation 2 (week_11) monkey saddle
Surfaces I (week_1) non-orientable surface example
Orientation 2 (week_11) nondifferentiability while directional derivatives exist
Non Differentiable Surfaces (week_3) nops
Basic Maple (using_maple) numerical solution of systems of equations
Basic Maple (using_maple)
Numerical Solution (week_4) numpoints option in 3D plotting
parameterized surface plotting
Parameterized Surfaces 2 (week_10) parameterized surface plotting in 3D
Surfaces I (week_1) parameterized surface tangent and normal directions
Parameterized Surfaces 2 (week_10) paramterized surface plotting
3D Plotting (using_maple) partial derivatives
Vector Identities (week_4) partial derivatives of functions as opposed to expressions
Vector Identities (week_4) patchcontour style in 3D plotting
3D Plotting (using_maple) plane plotting in 3D
Surfaces I (week_1) plane sections in 3D
Surfaces I (week_1) plot 3D region package
plot region package (2D)
Using Plot Region (week_8) plotting a sequence of points in 2D
Basic Maple (using_maple)
Random Riemann Sums (week_8) plotting differential equation solutions
Fieldplot and Numerical ODEs (week_5) plotting gradient fields
Fieldplot and Numerical ODEs (week_5) plotting parametric curves
Curves (week_4) plotting points in a file
2D Plotting (using_maple) plotting procedures in 3D
Non Differentiable Surfaces (week_3) plotting, 2D
2D Plotting (using_maple) plotting, 3D
3D Plotting (using_maple) plotting, 3D options
3D Plotting (using_maple) polar coordinate plotting
2D Plotting (using_maple) polygonal curves and line integrals
Line Integrals (week_10) polyhedraplot
Linear Approximation (week_3) precision, higher
prompts, new
Mac Interface Intro (using_maple) quadratic forms
Quadrics and Eigenvalues (week_6) quadric surface parameterizations
Parameterized Surfaces 2 (week_10) quadric surfaces and second derivative tests
Quadrics Worksheet (week_6) random number functions
Random Riemann Sums (week_8) reading data from a file
Least Squares (week_6) real_cube_root as a procedure
Non Differentiable Surfaces (week_3) rhs (right hand side of an equation)
Lagrange Numerical Example (week_7) Riemann sums calculation
Random Riemann Sums (week_8) rotation matrices
Quadrics and Eigenvalues (week_6) rotation number of planar curves
Line Integrals (week_10) saving
Mac Interface Intro (using_maple) scalar triple product
Vector Identities (week_4) scratchpads
Mac Interface Intro (using_maple) semi-colons
singular inverses of transformations
Singular Inverses (week_7) singularities of surfaces
Non Differentiable Surfaces (week_3) solving symbolically
Basic Maple (using_maple) solving symbolically
spherical coordinate differential operators
Vector Identities (week_4) spherical coordinate unit vectors
Vector Identities (week_4) subsequences, extracting
Basic Maple (using_maple) substitution
Basic Maple (using_maple) substitution
Limits (week_2) sum
Least Squares (week_6) summing a series
Basic Maple (using_maple) surface integrals, numerical
Using Num_int_2D (week_11) Taylor series, multivariable
Taylor Series (week_6) Taylor series, remainder estimation
Taylor Series (week_6) transform_rect
Linear Approximation (week_3) transformation plotting package
vector field linearization
Flow Results (week_5) view option in 3D plotting
3D Plotting (using_maple) whattype
Basic Maple (using_maple) whitney umbrella
Surfaces I (week_1) whitney umbrella parameterized
Parameterized Surfaces 2 (week_10) wireframe style in 3D plotting
3D Plotting (using_maple)


Many thanks to Mathlab consultant Sung Bae Lee for helping to produce this World Wide Web version.