Matlab Activities for Multivariable Calculus

Vectors and Matrices in Matlab

In this activity you will learn about vector and matrix data types in Matlab, how to enter them into Matlab's workspace, how to edit, how to index, and you will also explore various vector, matrix, and matrix-vector operation.

Vectors and Matrices in Matlab


Plotting Functions of a Single Variable

In this activity you will learn how to plot functions of a single variable in the Matlab programming language.

Plotting Functions of a Single Variable


Parametric Equations in Matlab

In this activity you will learn how to plot parametric equations in the Matlab programming language.

Parametric Equations in Matlab


Arc Length and Functions in Matlab

In this activity you will learn how to write function M-files in Matlab and use Matlab's quad command to approximate definite integrals to help in approximating arc length.

Arc Length and Functions in Matlab


Graphing Polar Equations in Matlab

In this activity you will learn how to use Matlab's polar command to plot polar equations.

Graphing Polar Equations in Matlab


Lines in the Plane and Space in Matlab

In this activity you will learn how to use Matlab's plot and plot3 command to plot lines in the plane and three-space..

Lines in the Plane and Space in Matlab


Planes in Matlab

In this activity you will learn how to use Matlab's mesh command to plot planes in three-space.

Planes in Matlab


Cylinders in Matlab

In this activity you will learn how to use Matlab's mesh command to plot cylinders in three-space.

Cylinders in Matlab


Cylindrical Coordinates in Matlab

In this activity you will learn how cylindrical coordinate transformations to plot surfaces in three-space in Matlab.

Cylindrical Coordinates in Matlab


Complex Numbers in Matlab

In this activity you will learn how complex numbers affect the plotting command in Matlab.

Complex Numbers in Matlab


Quadric Surfaces in Matlab

In this activity you will learn how to use cylindrical coordinates to plot quadric surfaces in Matlab.

Quadric Surfaces in Matlab


Velocity and Acceleration in Matlab

In this activity you will learn how to plot velocity and acceleration vectors in Matlab.

Velocity and Acceleration in Matlab


Level Curves in Matlab

In this activity you will learn how to plot level curves in Matlab.

Level Curves in Matlab


Partial Derivatives in Matlab

In this activity you will learn the geometrical significance of the partial derivatives with respect to x and y.

Partial Derivatives in Matlab


Tangent Planes in Matlab

In this activity you will learn how to sketch a tangent plane to a surface using Taylor's Theorem.

Tangent Planes in Matlab


The Differential in Matlab

In this activity you craft a visualization that leads to the definition of the differential in multivariable calculus.

The Differential in Matlab


The Directional Derivative in Matlab

In this activity you craft a visualization that leads to the definition of the directional derivative in multivariable calculus.

The Directional Derivative in Matlab


The Gradient in Matlab

In this activity you craft a visualization that leads to the definition of the gradient in multivariable calculus.

The Gradient in Matlab


Max, Min, and Saddles in Matlab

In this activity you craft a visualization that leads to a classification of extrema of a multivariable function.

Max, Min, and Saddles in Matlab