Math Tables:


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Sources for the information on DMT include: what I read/heard in class, what I derived, that obtained from my parents' college textbooks, MathcadŽ results, responses to newsgroup questions, amoung others. Almost all are not specific to any one source. Credit is given to the following sources in particular for their contributions to the calculus, trig, stat, conic and advanced sections:

Lide, David R., CRC Handbook of Chemistry and Physics, 72nd edition. Boston: CRC Press, 1991-1992 ed.

Morrey, Charles B. Jr.; Protter, Murray H. College Calculus with Analytic Geometry. Reading: Addison-Wesley, 1964.

Shenk, Al. Calculus and Analytic Geometry. San Diego: Goodyear Publishing Co., 1979.

Simmons, George F. Calculus Gems. New York: McGraw-Hill, 1992.

Widder, David V. Advanced Calculus, 2nd edition. New York: Dover Publications, 1989.

Graphs were created with MathcadŽ software, with the exception of 3-D conics created with Bryce-2 software. In addition, MathcadŽ proved invaluable for some of the more complicated derivations. Tables, such as the trig and stat number tables, are original.

Thanks are given to those who have offered tips and error corrections. There are so many who have offered small, helpful tips that it would be cumbersome to list them all here. The following are comments from users:

I noticed that you have put together an interesting and useful set of pages for teachers. If you don't mind, I will place a lik to your web site from ours. You have done a good job of presenting math expressions given the constraints of HTML. For an alternative way of doing this, you might be interested in looking at our MathType product. The latest version, 3.5, can produce nice looking GIF images of equations. Take a look at our sample pages at - Paul Topping 9/1/97.

Hello there Dave. I saw your site named on television today. They spoke of great sites for children. They were right. You did a wonderful jog. You know what I would like to see also. Fractions, Square roots and factoring info. This is a cool site, and I shall save it.  - 8/27/97

Congratulations! Your web site has been selected for the "InterNIC Academic Guide to the Internet". This selection entitles you to place the Featured Site icon in your web site. The National Science Foundation funded Guide has been created especially for the higher education community. The topical listings of the Guide focus exclusively on the interests of the higher education research community. Top level categories are primarily science-oriented and include: Biological Sciences, Computer and Information Sciences, Education and Human Sciences, Engineering, Geosciences, Mathematical and Physical Sciences, Social, Behavioral and Economic Sciences. The Guide is an interactive medium. In its Community Commentary section, users of the guide express their opinions abou the academic value of a site. Scores are tallied and posted with a site's description providing at-a-glance peer options. Compiled by Internet experts with specialized skills in library science, web design, and designing services for the research and academic community, the Guide delivers a focused, no-nonsense resource. I invite you to visit the web site through the general InterNIC address Choose the Directory and Database Services link. Or, you can visit directly through Congratulations on your site's selection! If you have any questions, please don't hesitate to contact me. Susan Estrada Project Manager "The InterNIC Academic Guide to the Internet" Choose the link to Directory and Database Services. 8/5/97

...I am going to use your Trig graphs as study guides for my pre-calc class. ... -- Minnesota highschool teacher. 6/23/97

Dear Dave:  I love what you are doing, but what do you mean "besides spelling"?  It's important for visual learning--even if numbers are more important (for some of us) than words....  Besides, there are educational snobs out here who just won't believe you are an educated person if you can't spell.  Thanks for your help. Sincerely, A Well Wisher 5/3/97 (I've since corrected the spelling.)

I'm a student of oceanography in the city of Ensenada, Mexico.  I wanted to, both, thank you and congratulate you on your page.  I was struggling with some special functions , and thanks to your page I've been able to solve my problems.  Well, just wanted to let you know. Patricia 4/21/97

Dear Dave, I am creating a set of homework links, primarily for middle school students... I'll be linking to Dave's Math Tables, as a resource for students. Thanks, Jennifer Stowe Assistant Research Editor 3/17/97 has helped me finish a paper on Fourier for college. 2/22/

Dear David Manura, Congratulations! Your work shines and it is a pleasure to award you with the attached Editor's Choice logo, from, The SuperSite for Kids.  We hope you will display this award with pride. For your convenience, we are attaching three sizes of the Editor's Choice award, and the HTML code you can copy onto your home page. The mission of is to provide a fun and enriching experience for children and their families on the World Wide Web. launched last month with over 500 games, activities and other educational content spread over five colorful "CyberWays". Kids and other visitors who come to our site will have an opportunity to enjoy your outstanding work. We hope you will find time to check us out at and that you will like what you find. In the meantime, congratulations on creating a great site for kids and we hope this logo will be an attractive addition to your awards or home page. Sincerely, Lucy Rector Managing Editor, The SuperSite for Kids 2/18/97

Dave --we've discovered your Math Tables page -- actually very exciting! we've linked to that page from our homework helpline page, if that is okay with you. check us out at you'll be under our _other math sites_ page (might not be updated until later in week of 2/17) thanks for a great site! terry meinen helpline teacher 2/16/97

I had a test on "The Notations" I went into your notation stuff and checked some of my answers! I got one right that my teacher marked wrong!! Thanks for having that there for my convience! 2/1/97

Math Tables
Whether you're looking for a basic multiplication table or something as mind-bending as a "fourier series," you'll find some help at Dave's aptly named Math Tables. A fine way to calculate how little you know about math.
-- USA Today -- Hot Sites, 1/13/98

Your Web site, "Dave's Math Tables," is being recognized with the Dr. Matrix Award for Science Excellence from "Dr. Matrix' Web World of Science." "Dave's Math Tables" is also being honored with prominent display as a select site at with the category: Mathematics. Sites receiving this award are distinguished by the quality of their content alone. A flashy Web site will not receive this award if its content lacks interest and integrity. A simple Web site will receive this award if it serves the interests of discovery, mental enrichment and thoughtful enjoyment. This award doesn't go to "cool" sites. It goes to the great sites. It's not a daily or weekly award, but an award based on presence, here and now. It is given in gratitude, with no other request but that you keep doing what you're doing.
-- Dr. Matrix, 8/2/98.

Hi, I'm adding your page to the 3rd ed of my book, which will be out next Sept if all goes well. I don't know if you do awards or not, but you get the "Net-mom Approved" slice o' pie. Go to my website page and grab a logo if you want. You can make it link back to if interested. Congratulations!
-- Jean Armour Polly, Net-mom Author, The Internet Kids and Family Yellow Pages, 2nd Edition. 6/16/98.

StudyWeb Award
Your website,, has been selected as a featured site in StudyWeb as one of the best educational resources on the Web by our researchers. You will be able to view it in our Math:Calculus:Calculus - General section very soon.
StudyWeb is one of the Internet's premier sites for educational resources for students and teachers. Since 1996, our expert reviewers have scoured the Internet to select only the finest sites to be included in StudyWeb's listing of educational links. Each site in StudyWeb includes a detailed review describing its editorial and visual merits.
If you are unfamiliar with StudyWeb, please check us out at:
Inclusion in StudyWeb will increase your exposure and attract new visitors to your site: our reviews have been featured on Webcrawler Select, The Lycos Top 5%, Education World and many others, and StudyWeb updates are provided to media and educational resources around the world.
We invite you to display the prestigious 'StudyWeb Excellence Award' icon, ...
Thanks -- and again, congratulations!
The StudyWeb Editing Team

FHS Award Logo Congratulations, Your site (Dave's Math Tables) has been nominated and selected as an outstanding math reference on the internet. Your site maintains high standards and is a truly great math resource. It is an honor to award you with the FHS MATH AWARD OF EXCELLENCE for your outstanding achievement.... You have definitely earned it. This awards program has just begun in January of 2000 and makes your site one of the first selected! Again, congratulations. A link back from the graphic is appreciated but in no way applicatory. If you choose to link back, here is the url: This is also the link to find your sites listing. -- Sincerely, Oscar J. Krebs, ojjk, FHS Webmaster,

Dear Webmaster: is contacting you because our editors have selected your site as one of the best on the Internet when reviewed for quality, accuracy of content, presentation and usability. As a result, we would like to offer you the opportunity to join in the launch of our new link exchange program. This program will give you and other top quality sites the opportunity to add a Britannica search box to your site and thereby provide your users with direct access to Britannica's awarding-winning content, including the trusted and authoritative Encyclopaedia Britannica. The search box will be accompanied by an award, which will tell visitors to your site that Britannica editors have rated one of the most valuable and reliable on the Internet, in the company of an elite group of Web sites. You can choose to use the search box, the award or both. Most importantly, because each will open another browser window, your users will never have to leave your site to access Britannica content. ... We know quality is always difficult to accomplish and maintain. Congratulations on being a selected member of the Britannica Internet Guide. We look forward to our growing association in the future. If you have any further questions, please contact us at Regards, The Staff at