Can the mane six discover calculus fast enough to win a flying competition, counter a deadly parasite, and destroy a tornado?

Welcome to the only MLP fanfiction which doubles as a calculus tutorial.

Once this fic is complete, it will serve as a complete walkthrough for calculus. I want to teach the intuitive side of math: tell you why things work, and make you feel like you could have discovered them yourself.

Petition your teacher to make this your school's standard textbook.

This story is a sequel to The Chase

Rainbow Dash, the brash pegasus weather captain, and Rarity, the unicorn fashionista, experience an awkward moment together. In the aftermath, they discover what it means to be friends with one another. Sometimes, mutual embarrassment is the only way to discover what a friend means to you.

This takes place in the Chase Verse.

Edit: Featured! Oh my gosh, thanks! 7/17/14

This story is a sequel to An Affliction of the Heart: Volume Two

Swarm is the first ever changeling/pony hybrid, child of Warden the pegasus, and Kuno the changeling.

What does life have in store for this unlikely trio?

Twists, for a start!

This story is a sequel to The Celestia Code

When the monsters created by the dark crystal engine escape their prison, it's up to Princess Twilight Sparkle to deal with them. She gets help and advice from Princess Luna, but things don't go as planned. In fact, when a pony who relies on logic and rationality tries to navigate the stormy seas of emotional entanglement while simultaneously saving Equestria from a horde of evil creatures intent on destroying everything they encounter, nothing goes as planned.
AUDIOBOOK by VisualPony
WARNING: Major spoilers in the comments.

Book 2 of the Alicorn Adventure series.

Goodreads Page
100% Approved by Twilight's Library!

The Badass Twilight tag applies more than ever, but please note the new tags.

This story is a fairly direct continuation of The Celestia Code. You might be able to follow it without having read The Celestia Code first, but it's better if you do.

The sequel is here: The Twilight Enigma

Most excellent pre-reading/editing done by the erudite AcademicPony and the dapper statoose!

Princess Twilight Sparkle discovers a centuries-old mystery hidden in the Royal Archives. Her investigation leads through layer after layer of deception and misdirection, setting her hooves on a path that seems to be leading to a mysterious secret. Along the way, she learns that some friendships can be very, very strange.

Book 1 of the Alicorn Adventure series.

AUDIOBOOK by VisualPony
Featured at the Royal Canterlot Library
TV Tropes Page (Courtesy of Sandtalon)
Goodreads Page (Courtesy of Facedeer)
Equestria Daily Page

WARNING: Major spoilers in the comments. Takes place several months after the end of season four. (Not a Da Vinci Code crossover, BTW!)

Do you see a dark tag? No, you don't. Not dark. Well, okay, there are a couple of dark-ish bits, but that's all. Not enough to warrant a tag. Speaking of tags, there really ought to be "Badass Twilight" and "Friendshipping" ones.

Sequels and side-stories (and more) can be found here Offprint and AO3, and a hardbound two-volume set of all that can be ordered from The Ministry of Image.

My editor for the first edition of this story was Gogito, and I can't thank him enough for all the hard work he did. My editor for the revised version was PresentPerfect, and he did a terrific job of getting the story into excellent shape.

Princess Twilight Sparkle has done something unheard of: she's found a changeling right outside Canterlot borders! But much to his surprise, Twilight doesn't kill him or turn him in as the law requires. Instead, she saves his life.
And when life gives you lemons, you will feed.

*Featured 5/19/14—5/21/14! Thank you so much, guys! I love you all! *Proof*
Set before "Twilight's Kingdom". Twilight has been princess approximately six months. Not sure if AU tag is necessary.

My Amazing Helpers!:
spideremblembrony
SirRage
Polaris
Ariin
PoisonedArrow
Go kill them with your love!

Derpy's, the loving and caring Mother of Dinky (and possibly some others), life has finally reached a dead end. After being fired from her job, and no where else to turn, the last straw as been turned for Derpy: She asks Twilight Sparkle in the hopes that she can fix her eyes! And by the mere look of things, it was a complete success! But with her new eyes fixed, Derpy's view (and intelligence) on life suddenly takes a drastic change, some for better, and for others, much much worse....

(A short spin-off story of my current season 3 fic. Was origionally gonna be a single chp/epi but had too much fun writing this, so turning it into another short story. Read and review about what ya like! And don't bother pointing out flaws- writing this on Yahoo, no real sense of auto-correct on it).

For a thousand years, the Code of Harmony has ruled Equestria, and the Code of Dissonance has sabotaged its works at every turn. Now the war for control over the land will come to a head, and one unicorn's decision may decide the fate of all.

For though she does not know it, Twilight Sparkle is the shining example of the Code of Harmony. Her teacher, Princess Celestia is Harmony's most powerful master and she knows her enemies are hatching a plan that threatens to cast down the Harmony of her throne and all she has sacrificed to create.

What she does not know is her foe seeks a new Apprentice to turn to his dark ways. A unicorn with seemingly limitless potential for magic, whose thirst for knowledge may yet lead her down a dark path, who is known to be such a faithful student of magic, eagerly seeking the truth no matter how forbidden it might be...

Sequel: Code of Harmony

Big Mac has been working the farm much more lately, putting much of his time towards it. One day, he gets a surprise visit from his coltfriend and decides to spend a little extra time with him.

Big Mac sits in his room, pondering an incident that made him question himself; trying to write a letter that he should have written long ago. Featuring a wicked storm, a few weeks at summer camp, and a predatory insect of unusual size.

Contains m/m shipping. Based on a song which can be found here: The Predatory Wasp

Many thanks to prereaders MarshMellowPony, Stormsoul22, and Fluttersky15!