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PrefaceTo All

Calculus I is taught at Portland Community College using a lecture/lab format. The laboratory time is set aside for students to investigate the topics and practice the skills that are covered during their lecture periods. This lab manual serves as a guide for the laboratory component of the course.


This manual has been released with several synchronous versions that offer different features. The essential content of each version is the same as for all others.

  • A web version is available at, and this version is recommended. The web version offers full walk-through solutions to supplemental problems. More importantly, it offers interactive elements and easier navigation than print versions.

  • A PDF-for-print is available at This version is designed to be printed, not read on a screen. To save on printing expense, this version is mostly black-and-white, and only offers short answers to the supplemental exercises (as opposed to full solutions).

  • A “for-printing-with-color” PDF is available at This version is like the above, except links and graphs retain their color.

Copying Content

The graphs and other images that appear in this manual may be copied in various file formats using the HTML version. Below each image are links to .png, .eps, .svg, .pdf, and .tex files that contain the image.

Similarly, tables can be copied from the HTML version and pasted into applications like MS Word. However, mathematical content within tables will not always paste correctly without a little extra effort as described below.

Mathematical content can be copied from the HTML version. To copy math content into MS Word, right-click or control-click over the math content, and click to Show Math As MathML Code. Copy the resulting code, and Paste Special into Word. In the Paste Special menu, paste it as Unformatted Text. To copy math content into source, right-click or control-click over the math content, and click to Show Math As TeX Commands.


The HTML version is intended to meet or exceed all web accessibility standards. If you encounter an accessibility issue, please report it to the editor.

  • All graphs and images should have meaningful alt text that communicates what a sighted person would see, without necessarily giving away anything that is intended to be deduced from the image.

  • All math content is rendered using MathJax. MathJax has a contextual menu that can be accessed in several ways, depending on what operating system and browser you are using. The most common way is to right-click or control-click on some piece of math content.

  • In the MathJax contextual menu, you may set options for triggering a zoom effect on math content, and also by what factor the zoom will be.

  • If you change the MathJax renderer to MathML, then a screen reader will generally have success verbalizing the math content.

Tablets and Smartphones

PreTeXt documents like this lab manual are “mobile-friendly”. When you view the HTML version, the display adapts to whatever screen size or window size you are using. A math teacher will always recommend that you do not study from the small screen on a phone, but if it's necessary, this manual gives you that option.