Digitalizing Higher Mathematics

Leverage the advent of technologies and experience higher mathematics in a different way.
 
Learn More

Literacy and Excellence in Higher Mathematics

Everyone has their way of doing math. Accountants do number crunching. Engineers thrive in computational math. As for us, we like to promote higher mathematics as a way of life.
The Learning Brain

Beyond the One-Size-Fits-All Educational Model

Even Harvard faculty members admit that traditional classroom lectures are hardly an effective means of learning. What are you doing then to mitigate this inefficiency?
"The stereotypical lecture where the professor is giving exposition of textbook-type material to the students — I think that type of exposition can be done better with online video or by an interactive-tutorial format."

— Logan McCarty,  Director of Physical Sciences Education, Harvard University, April 2012

"[S]itting passively and taking notes is just not a way of learning. Yet lectures are 99 percent of how we teach!"

— Eric Mazur, Professor of Physics and Applied Physics, Harvard University, April 2012

"[W]ebsites and laptops have been around for years now, but we haven’t fully thought through how to integrate them with teaching so as to conceive of courses differently."

— Terry Aladjem, Executive Director of Derek Bok Center for Teaching and Learning,
Harvard University, April 2012

Ou​​​​r Toolbox


We deliver mathematical experience through several different modalities — none of which requires the intervention of psychedelics.

Improvised Interactive Tutoring / Consulting

Impromptu, storytelling sessions where inquiries and romanticization of higher mathematics happen., where answers become questions and academic spoon-feeding become mental wrestling. When cognitive principles are applied, the brain picks up things pretty quickly,

Online Mathematical Modules

Unlike traditional black-and-white math textbooks, modules incorporate colors and dynamic features such as rich media, expandable contents and interactive summaries — all of which can make learning more enjoyable and effective.

Alternative  Academic Publishing

Thoroughly researched, professionally typeset materials in higher mathematics right at your fingertip. Formatted in a way that is easy to navigate, search and skim through. Be it a manual or a summary, such is our philosophy of academic publishing.

Hear What Others Are Saying


"Tom [Math Vault] was the only person I found that was able to truly help me in what I found to be one of the most difficult courses of my degree, Algebra 1."

— Christian S., High School Faculty, Kuper Academy, April 27, 2015

Math Vault — Calculus, Functions and Stuffs
"Howdy! Someone in my Myspace group shared this site with us so I came too take a look. I’m definitely enjoying the information. I’m book-marking andd will be tweeting this to my followers! Fantastic blog and brillliant design."

— Calculus Tutor NYC, May 29, 2015

"Haha very funny!"

— Matthew L., Economic Student,  McGill Unversity, June 28, 2015

Logo of Banerjee Anitej
One of the things that makes this site so great is how quickly you guys reply and update your articles/guides. Rest assured you’ve found a regular visitor in me, and I will share this with everyone I deem fit — calling it my dirty secret to Math!

— Banergee A., Higher Mathematics Enthusiast, May 19, 2016

That mock ad was hilarious and makes my day. Any new one coming in the near future?

— Joel P., B.Comm. Student,  Concordia’s John Molson School of Business,  July 3, 2015

Evangeline
Hey, great news – I got an A- in the logic exam! Thanks to you! Take that, Fitch&friends

— Evangeline R. G., Exchange Student from New Zealand, McGill University, February 7,2014

Straight From The Vault


(Contributor Post) A Primer on Statistical Significance — Grade Comparison, Fertilizer Selection, Dice Rolling and Tire Lifespan Evaluation and More!
Statistical significance --- in a nutshell --- is a way of determining if an outcome occurred by random chance, or if[...]
Desmos Art: A Definitive Guide to Computational Sketching (How to Recreate Our Redditlady and Redditdog Using an Online Graphing Calculator)
If you're of the type who enjoys playing around with graphing calculator, then you might be interested in the so-called[...]
Desmos: A Definitive Guide (How to Perform Cool Computations and Creating Great Graphs Using Online Graphing Calculator)
Think you're fond of of graphing and computing stuffs? Great! Because you might remember this thing called the Texas Instrument TI-83 from[...]
Infinite Limits and the Behaviors of Polynomials at the Infinities — A Theoretical Musing
Regardless of your early surrounding or schooling background, we know for one that there are two kinds of mathematical objects that are kind of[...]
Chain Rule for Derivative — Venturing Into The Dark Side Beneath Applied Calculus…
To the surprise of many math enthusiasts and the like, it seems that we have been pulling out on an incredible[...]
The Exponent Rule for Derivatives — Your One-Stop Shop to Staircase-Looking Functions
Like the featured image above? Good for you! As students (fanatics?) of mathematics and other technical sciences, we have an[...]

More Stuffs?


Oh. Looking for more math cookies you say? Good boy! Here you go:
Join the Math Vault Nation and get our inside updates and freebies on anything higher mathematics — one email at a time.