Sage

Sage is a very powerful free open source computer program for mathematical calculations. It is useful in calculus, linear algebra, differential equations, and much more; it does numerical and symbolic calculations, and both 2D and 3D graphics.

Sage, which is a cloud-based program, can be accessed from any computer via a web browser. To use Sage, you first need to set up a free account. To set up an account and log in, go to the website

• SageMathCloud.

Although you don't need any prior knowledge of computer programming to use Sage, one of the advantages of Sage is that it is based upon the Python programming language, which is the language taught in Bard's Object Orient Programming course (CMSC 141 or CMSC 143).

Sage Demos

The following Sage "worksheets" (that's what Sage programs are called) demonstrate various aspects of calculus or other topics. Brief instructions are given at the top of each worksheet. Some of the worksheets are interactive (via boxes, sliders and buttons), and others just need to be run the same as any other Sage worksheet.

You can download all the worksheets in one .zip file, or you can download each worksheet individually as a .zip file. The files need to be uncompressed prior to use.

Once each file is uncompressed, it can be uploaded into your Sage account.

If you find any errors or problems with these worksheets, please let me know.

• All Sage Demos

Individual worksheets – Calculus:

• Basic Sage Commands

• Area Function

• Bisection Method

• Derivative Function

• Determinants and Eigenvalues

• Elementary Matrices

• Function Plot

• Implicit Plot

• Limit Approximation

• Linear Transformations

• Matrix Operations

• Newton's Method

• Plot Slope Fields

• Riemann Sums

• Row Reduction

• Secant Lines

• Taylor Polynomials