Antiderivative

Mathematical resources for you

[mathprofessorquotes]

Our classrooms are not as nice as those of the engineering students because we’re mere mathematicians. It could be worse: we could be in the fine arts.

Math professor (via mathprofessorquotes)

[mathsources]

This page is a part of The Chaos Hypertextbook™ — A four chapter book, fully updated and enhanced for the web. The theory behind the sumptuous images and mathematical jargon tossed about in popular culture today. Simple experiments for programmable calculators, instructions for drawing fractal images, the meanings of dimension, and more. Want to explore the subject in depth? Check out the indices of print, software, and Internet resources. Hours of quality material.

Chaos theory... that is so nonlinear! Whatever, I think it's exciting. And I love free/opensource textbooks

[mathsources]

Multivariable Calculus

This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.

For all you self-ed people out there... and anyone struggling with this topic in school.

[laragazzacongliocchigrigi97]

[mathsources]

Love math jokes/valentines

[mathsources]

I'm not a professor, but as a student, I respond well to this text and it's approach is similar to my professor's

[mathsources]

Handy-dandy tutorial. I do not have a tech savvy instinct in me, so hooray for tutorials like this!

[mathsources]

Fighting the Arachnids

Ok. I'm taking a linear algebra class, just left class today, and my professor is a little (or a lot) kooky. He uses the Markhov matrices to find populations. Quite orthodox, of course. But the populations are Arachnids who are taking over the world in about 1000 years. Anyways, I usually feel the need to formularize my problem-solving approach (SI leader probs?). Here we go. This is my method for finding out how many Arachnids (adults and babies) exist in say, 1000 years. Can be used for other populations.

1. Set up the matrix, A. Make sure the columns add up 1. (There are exceptions; I am in an undergraduate class and I haven't been introduced to them). They will be in decimals or fractions, but convert the fractions to decimals, please.

2. Find the eigenvalues (λ - lambda) of A.

3. Use the eigenvalues to find the eigenvectors.

4. Use the eigenvectors as columns in matrix S.

5. Find the inverse of S (S^-1)

6. Diagonalize the matrix (Λ- capital lambda). Basically, take a matrix of the size that you are using for the problem, fill all spaces with zero's. Then, take your eigenvalues (λ) and insert them in the diagonal going from the first top right space to the last bottom left space. Tadaa! You have Λ !!!

7. Put Λ to whatever power you've been given (in my case, it was 1000 years). Remember that if an eigenvalue is less than 1 but greater than -1, with a high power it goes to zero (-1<λ<1, λ ^1000 = 0)

8. Multiply through the magic formula of S(Λ^n)(S^-1)(initial values vector)

9. Write out final values.

[caybren]

There are triangular numbers which count the points that can form an equilateral triangle as shown. One, three, six, and ten are the first four triangular numbers.

There are square numbers, which you’re probably most familiar with. Four, nine, sixteen, twenty-five, etc. A...

[mrvelocipede]

Knitting + fractal. It seems like it should be an April Fools joke, but it’s not.

Sierpinski Gasket shawl, knitted in Zitron Filisilk. About 60” across the top edge. Somewhat wrinkled from being folded and then sitting around for a while.

[brbdeath]

A semi-serious PSA in defense of math I made, featuring questionable graphic design decisions.

[mathprofessorquotes]

What are you on about, “who would do that” everyone knows the world of maths isn’t real.

Math teacher (via mathprofessorquotes)

[mathsources]

Wolfram|Alpha is more than a search engine. It gives you access to the world's facts and data and calculates answers across a range of topics, including science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music...

You know this baby. It's awesome and fantastic. Enjoy, lovelies.

[mathsources]

Calculus Online Textbook

Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.  In addition to the Textbook, there is also an online Instructor's Manual and a student Study Guide. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.The 2010 second edition of the Calculus textbook includes a new chapter on "Highlights of Calculus" that connects to the video series of the same name.  The new chapter has summaries and practice questions for all of the videos.  It also introduces The Exponential Function (e^x) as presented in Prof. Strang's video on this topic.

I never carry my behemoth of a calculus textbook around with me, so this baby has been a lifesaver! If you're homeschooling, this could be an awesome resource...

[mathsources]

Calcblog provides helpful tips, tutorials and apps for graphing and financial calculators including the TI-83 Plus, TI-84 Plus, TI-89, and HP 12c.

Very cool! great instructions on how to use different calculators etc. plus some SAT/ACT resources for high schoolers. I'm kind of a tech dunce, so this was a lifesaver.

[mathsources]

This is a fantastic resource that I've explored quite a bit, so I'll post more specific resources later!

[mathsources]

The fractals at the heart of African designs

'I am a mathematician, and I would like to stand on your roof.' That is how Ron Eglash greeted many African families he met while researching the fractal patterns he'€™d noticed in villages across the continent.

I love this talk and the network of math across history!

[mathsources]

AAUW: Empowering Women Since 1881

The American Association of University Women (AAUW) advances equity for women and girls through advocacy, education, philanthropy, and research. AAUW believes that together we can transform society for the better. Our vision is simple — we bring people together united behind the common goal of breaking through educational and economic barriers for women and girls. By joining our more than 150,000 members and supporters, as well as 1,000 local branches and 700 college and university partners, you become part of AAUW's powerful voice.

If you are going in to grad school, this group has fellowships for women in math!