Inside The Ultimate Cheat Sheet — Math Formulas, Tips, and Worked Examples

Math Monthly — Inside the Book

Inside The Ultimate Cheat Sheet — Math Formulas, Tips, and Worked Examples

Take a look inside The Ultimate Cheat Sheet with Author Jonathan David. This walkthrough previews the subject-by-subject formula guides, explanations, and worked examples covering algebra, trigonometry, calculus, differential equations, linear algebra, and basic physics.

Watch the inside-the-book preview on YouTube ↗

Explore the Collection by Subject

Jonathan opens the individual subject guides and explains how their student-oriented presentation differs from the more formal writing in the Math Monthly journal.

  • Algebra and trigonometry formulas and reminders.
  • Differential, integral, and multivariable calculus material.
  • Common difficulties in differential equations and linear algebra.
  • Explanations, tips, and accompanying recordings of the writing process.
Original Transcript (punctuated)

Based on the supplied transcript. Punctuation and paragraph breaks have been added, with repeated fillers and false starts reduced for readability. Obvious transcription errors have been corrected, and unclear speech is marked where necessary.

All right, little boys and girls. I’m going to show you my Ultimate Cheat Sheet.

By the way, these are all the books you get in the Triple Play bundle. I’m going to find the one that has all the subjects in it. Where is it? Is it not here? I might have it in the other one.

Basic physics, linear algebra, one, two, three, four, five, Quartic Play, Math Monthly Edition One, How to Study in College. Where’s the full book? I must not have added it. I’ll have to add it.

That’s okay. We’ll look at all of them: college algebra, trigonometry, differential calculus, integral calculus, several-variable or multivariable calculus, differential equations, linear algebra, basic physics, and How to Study.

How to Study is the first book in the collection. I had them consolidated. You can open Adobe and consolidate them if you want. I didn’t realize I hadn’t put the combined version in there. I’ll find it and add it.

I’ll cover the How to Study guide in another video because that’s also a book people often buy separately.

I’ll show you these, starting with algebra. Look at how the covers have evolved. My cover-making skills have evolved over the years.

If you purchase the Triple Play bundle for $99, you get a lifetime access code to these videos on my website.

There are about 900 to 1,000 videos, something like that: 200 to 300 podcasts and 600 to 700 videos of me writing the books.

You can type in “limits,” or whatever you’re looking for. Most of them show me writing these books.

Here’s one of me writing the book. For those saying, “You used AI”—“Mom, Sunny D!”—here’s the video of me writing a freaking book, you little twerp. Okay, God.

This is what it looks like. The cheat sheet books are really formula books. It isn’t a cheat sheet so much as a list of formulas.

I put together what you’re supposed to have in your brain. You’re supposed to memorize this through doing problems repeatedly. This is just the algebra book.

Here’s the calculus collection, including different limit situations, integrals, and integration material.

Several-variable calculus is the same idea, with several variables. Pretty cool.

This is useful because people get confused about a lot of this material. I include tips and tricks and show things people often miss.

Differential equations is here too. The differential equations and linear algebra books focus more on common problems people struggle with and how to solve them.

This is written from your point of view, not mine.

Let me show you the Math Monthly book. There’s a big difference. The journal is written differently, with a more professional organization. It’s for professionals to read and develop their understanding.

These guides are written from the perspective of a freshman or sophomore student.

The feedback I’ve received from students is that, as they turn the pages, they keep saying, “Ah, that’s what that was. That’s what that was.”

I spent 15 years tutoring students, so I know what you’re thinking. I put it together for you.

Here you go. It’s reasonably priced. I lowered the price drastically, and I hope you purchase it and enjoy it. Have a nice—[recording ends].

AI Summarization

Author Jonathan David previews the individual subject guides that make up The Ultimate Cheat Sheet. He describes the collection as a formula reference supplemented by explanations, reminders, tips, and worked examples.

Subject Coverage

The walkthrough identifies algebra, trigonometry, differential calculus, integral calculus, multivariable calculus, differential equations, linear algebra, and basic physics. The How to Study guide is also identified as part of the collection.

Formulas & Common Difficulties

Jonathan describes gathering formulas and concepts students are expected to become familiar with through repeated practice. The differential equations and linear algebra guides are presented as focusing particularly on recurring difficulties and how to work through them.

Written for Early College Students

The explanations are intended to reflect the perspective of a freshman or sophomore. Jonathan contrasts this style with the more formal organization and presentation of the Math Monthly journal.

Individual & Combined Files

During the recording, Jonathan opens the individual subject files after being unable to locate a combined copy in the displayed collection. He says he intends to find and add the consolidated version.

Accompanying Lesson Library

The video also previews recordings of Jonathan writing the books. He describes a lifetime access code with the Triple Play purchase and gives approximate counts for the accompanying lesson recordings and podcasts.

The price, access terms, file availability, and approximate recording counts mentioned in the transcript reflect the speaker’s description at the time of recording. Consult the linked product pages for purchase details.

Books, PDF Bundle & Lesson Library

Explore my books and PDF bundle, which include access to a library of lessons.

Hardcover purchasers: Send me your purchase receipt to receive lesson library access.

Continue Exploring with Math Monthly

Explore mathematics, physics, and their connections to engineering with Author Jonathan David. Discover the available Math Monthly memberships and follow the development of new lessons and journal material.

View Math Monthly Memberships ↗
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