#### Troubleshooting Math

*Some Old Books (Arithmetic, Algebra & Geometry)*

.

## REMEDIAL MATH

*Level 00: Pre-school Review*

*Level 0: Kindergarten Review*

*Level 1: Primary School Review*

*Level 2: **Middle School Review*

*Level 3: Old Algebra Book*

*Level 4: Algebra Review*

*Level 5: Old Geometry Book*

*Level 6: Purple Math*

*Level 7: Statistics Review*

*Level 8: Word Problem Review*

*Level 9: Practice Problems*

*Level 10: PSAT & SAT Review*

*SAT: **Khan Academy*

## Cheat Sheets

**Algebra Cheat Sheet**

#### Trigonometry Cheat Sheet

#### Calculus Cheat Sheet

.

## TOPICS

## Arithmetic

#### 1885 Ray’s Practical Arithmetic

#### 1893 Dubb’s Arithmetical Problems

*Common Core Math Standards*

## Topics

#### The Abacus and Numbers

#### Numbers & Consciousness

#### Going Beyond Counting

#### Infinity and Unknowable

#### Comments on Infinity

.

## Algebra

#### 1896 Elementary Algebra

*Purple Math (Advance Algebra)*

*Paul’s Online Math Notes (**Algebra, Trigonometry & Calculus**)*

*Math Pages (Math & Physics)*

## Topics

#### Combinations and Permutations

#### Synthetic Division

.

## Geometry

#### 1913 Wentworth Smith

#### Euclid’s ELEMENTS

*Math Pages (Math & Physics)*

## Topics

#### Point and Unit

.

## Trigonometry

*Trigonometry Index*

*Paul’s Online Math Notes (**Algebra, Trigonometry & Calculus**)*

## Topics

#### sin(a + b) = (cos a)(sin b) + (sin a)(cos b)

#### cos(a + b) = (cos a)(cos b) – (sin a)(sin b)

.

## Calculus

*Paul’s Online Math Notes (**Algebra, Trigonometry & Calculus**)*

*HMC Online Tutorials (Pre-calculus, Calculus, Linear Algebra)*

*Math Pages (Math & Physics)*

## Topics

#### Volumes by Cylindrical Shells

#### Double Integrals – Changing Order of Integration

#### Triple Integrals, Changing the Order of Integration, Part 1 of 3

#### Triple Integrals, Changing the Order of Integration, Part 2 of 3

#### Triple Integrals, Changing the Order of Integration, Part 3 of 3

.

## Statistics

*Statistics Online (Statistics Review)*

*Math Pages (Math & Physics)*

## Topics

#### Mean, Median, Mode and Range

#### Quartiles, Boxes, and Whiskers

#### Five-number summary

#### Interquartile ranges and outliers

#### Standard Deviation

.

## Mathematics

#### Math Homonyms

#### Math Imitating Life

#### The Algebra of Unknowable

#### Fundamentals, Consistency and Breakthroughs

.

## Other

#### A Musical Interpretation of Pi

.

.

## Comments

I remembered and looked up this humorous quote by Hubbard:

“Rate of change is this mathematics known as Calculus. Calculus, it’s a very interesting thing, is divided into two classes — there’s Differential Calculus and Integral Calculus. The Differential Calculus is in the first part of the textbook on Calculus, and Integral Calculus is in the second part of the textbook on Calculus. As you look through the book, you’ll find in the early part of the book on Calculus, “dx” over “dy”, a little “dx”, and a little “dy” — and one’s above the other on a line — predominates in the front part of the book, but as you get to the end of the book you find these “dx” and “dy”s preceded by a summation sign, or are equating to a summation sign, and the presence of this shows that we are in the field of Integral Calculus.

Now I hope you understand this, because I’ve never been able to make head nor tail of it. It must be some sort of a Black Magic operation, started out by the Luce cult — some immoral people who are operating up in New York City, Rockefeller Plaza — been thoroughly condemned by the whole society. Anyway, their rate-of-change theory — I’ve never seen any use for that mathematics, by the way — I love that mathematics, because it — I asked an engineer, one time, who was in his 6th year of engineering, if he’d ever used Calculus, and he told me yeah, once, once I did, he said. When did you use it? And he said I used it once. Let me see, what did you use it on? Oh yeah. Something on the rate-of-change of steam particles in boilers. And then we went out and tested it and found the answer was wrong.

Calculus — if you want to know — there is room there for a mathematics which is a good mathematics. And it would be the rate of co-change, or the rate of change when something else was changing, so that you could establish existing rates of change in relationship to each other, and for lack of that mathematics, nobody has been able to understand present time — you just can’t sum it up easily — or let us say, for lack of an understanding of what present time was, nobody could formulate that mathematics. So, actually there’s a big hole there that could be filled — a thing called calculus is trying to fill that hole, right now, and it can’t.

– L. Ron Hubbard

I guess the week he spent at college didn’t turn out like he planned. The things he counts for knowledge, I can’t understand.

(paraphrased from “Reeling in the Years.”)

I can see that Hubbard had difficulty understanding Calculus. He then passed his misunderstanding to his followers.

He should have used his study tech.

It requires more than study tech. It requires Subject Clearing.

https://vinaire.me/2017/04/25/subject-clearing-2/

Hubbard minimized whatever he could not understand. He minimized Buddha’s concept of Nirvana too. Nirvana has to do with attaining a viewpoint that is universal in nature and which looks at everything objectively.

Hubbard misunderstood it to mean that, in Nirvana, the universe absorbs self and makes it MEST. That misunderstanding got him finally. He died fighting his imagined entities.

this is davis

Welcome Davis. It is nice to see you here!