Engineering — November 2026 Math Monthly Research Program

Based on the supplied transcript. Punctuation and paragraph breaks have been added. Repeated fillers and false starts have been reduced, and obvious transcription errors have been corrected for readability. Unclear speech is marked where necessary. Personal commentary, opinions, and speculation remain the speaker’s.

All right, guys. In this video, I’m going to talk about November 2026, Earth year, Milky Way galaxy, sector 3.14159. [Clears throat.] [Laughter.]

Did you like it? It worked pretty good. For the PLEM enthusiasts, this month’s theme is engineering. For the Math Monthly research program, the first lesson we did was from a very old book. Not very old—I’d say it’s about as old as me. I don’t know. I’m in my 40s.

This journal we’re writing eventually accumulates into each edition of the crash courses I’m writing for precalculus, calculus, linear algebra, differential equations, physics, and so on. We go through all kinds of books, find different problems, and write these journals every month. Then I categorize them into these books, which become guides for PLEM majors.

The objective is to help students catch up who are failing. So many of you, your brain isn’t ready for this yet. Right now, you’re doing arithmetic, and you’re like, “Yeah, I’m so cool. I’m solving a puzzle.” Then you get the answer and feel high. You’re inducing natural highs by doing arithmetic. You’re not doing math yet.

When somebody like me tries to explain what math is, you get all like—[laughter]—“I’m a little kid.”

For example, the young lady last night: my God, you are exactly why I’m single. Most of you in college aren’t ready yet for legitimate math. That’s the purpose of the crash course books.

When you get to junior year, a lot of you are apt for this; you’re just not ready for it. Once you get to about 22, you start to see the light. Your brain is starting to solidify. It’s like a Jell-O mold in the fridge. It’s coming together.

Usually, that’s when you open a junior- or senior-level mathematically based book for engineers and think, “What the—is this?” Then someone like me comes along and says, “If you read the prerequisite section of an algebra book, you’ll understand the notation.”

You’re like, “What? I thought I was in school to play video games and solve puzzles. Sudoku.” It’s funny, but it’s true. You will experience it, as we all did and do.

Some people see it quicker than others. It took me a long time, until I was 24, to realize it’s normal. We’re all human. Especially in America, we’re a combination of many cultures from many countries. We’re different. We accelerate at different rates because our genetics are different.

You can’t drop us all into the same box and say, “Do the same thing.” That’s why we’re at war. You have children working with adults because they’re the same age. It causes friction. Some people who are 20 are really like 10, and some who are 20 are really like 40. It depends on their genetics. There’s so much.

My point is that, as we go through the questions for the journal, I’m accumulating guides to help repair the damage you’re doing to your education: not reading the textbook, leaving the textbook, cheating, not editing your sentences, being snotty, and not acknowledging that you’re not a god.

You need a reality check. You’re a janitor. If you’re a PLEM major, you’re cleaning up a very advanced environment. Your work isn’t for you; it’s for humanity, for the people. You’d better like doing this.

If you’re an engineer listening to this and saying, “I hate physics. I hate math,” what are you doing in this degree? Engineering is the application of physics. Physics is the application of math. Math is the application of language, linguistics.

If you can’t type or edit every sentence at least at a 90% level, you’re in the wrong field. You’re not doing math. You’re solving puzzles to induce a natural high.

You’re like, “Look, I’m better than you. I did a puzzle you don’t want to do.” Nobody wants to do physics, math, or engineering. When you solve it and look at somebody who doesn’t want to do it, you’re saying, “I’m better because I can do something you don’t want to do.”

But you look at it like, “I can do something you can’t do. I’m great.” Narcissism flows through the veins of PLEM majors—the wrong ones.

Math, physics, and engineering are the art of humility, devotion, and sacrifice. If you chose engineering because you saw a $180,000-a-year salary, you will fail. You need to switch to business immediately.

I’ve never seen an engineering student who looked at the dollar signs get past freshman or sophomore year. It won’t happen because you’re choosing it for yourself. Real scientists do this because we’re crazy, we care, we’re honest and gentle, and we’re ridiculed, shamed, and judged.

I’m the nicest, kindest person in the world. I’m a personality on camera, and I can act like an authority figure. Then Substack cuts little shorts that make me look like an [inaudible] on Instagram, but people love it, so I leave them up. [Laughter.]

I love people, but I hate them with a passion. Without them, I wouldn’t have dental. My teeth would all be gone. I need people, and people need me—meaning us. Engineering is very important.

The theme of this month’s research program is engineering. I didn’t choose it on purpose. It happened because one student asked, “Are you going to do engineering books too?” I said, “Of course.”

PLEM is a unit. These majors aren’t individual. We work together to complete a task. None of us is better than the other.

God, I look just like a busty woman. “Damn, girl, you’re looking good.” I’m getting old. Fat accumulates, and I’m not doing push-ups. Get over yourself, kid, and come out of the closet already.

We’re a unit. There’s always conflict in the younger generation. As you get older and progress through the sciences, you’ll realize you’re studying the same subject from different angles.

Engineering is the topic this month for Math Monthly, Volume One. I did a beta test over the summer. Those who have been around know I was writing fiction for a while. I gave up fiction and entertainment. I was doing comedy, podcasts, and fiction, and the world doesn’t understand English, so I had to stop.

People read what they want to be upset about. Everybody wants to be upset about everything. We have people of the same age who are children and adults working together, and it’s causing an issue.

I can see it because I’m a scientist, a pattern recognizer. Our problems aren’t Republican or Democrat. It’s round peg, square hole. We have the wrong people working with the wrong people, in the wrong place, at the wrong time. It’s a scattered mess. God sent me to fix this problem.

We started with an old book for lesson one. It was a beta lesson. Sorry if you watched the video; there’s a lot of sniffing in it. I was congested and didn’t realize how much the microphone picked it up on YouTube’s platform.

You can be far away from the microphone, and it picks up everything. Their sound quality and editing are good. I also had some issues with my esophagus.

If you listen, the sniffing will drive you nuts. I was editing it out, but it was the first lesson to show you how this works.

We did what I would call higher math. There’s basic, intermediate, advanced, higher math, and physics stuff. There’s really no category for what level math is. Those categories separate college courses. When you understand math and physics, it’s all just math and physics.

When you understand math, you can open any book without that anxiety and fear. You’ll know how to read it. That’s what I show you how to do.

I’m not an engineer by training, but I opened a linear algebra and differential equations book for engineers written in the ’90s. They used software called Maple for calculations, similar to what you might use MATLAB for. I walked you through how an engineer would solve the same problem a physicist would.

This was an issue I had with a physics student during our second meeting yesterday. Physicists are very arrogant people—very stupid, arrogant people. They don’t know anything but think they know everything. It’s narcissism.

You have that, girl, a big-time narcissistic personality. If you’re not 24 yet, your brain hasn’t finished growing. If you recognize it, you can change it. If you don’t, you’ll be an unpleasant person for the rest of your life. I’ve watched you kids do that.

If you realize you have a narcissistic personality before 24, before your brain finishes growing, you can change the wiring by acknowledging you’re wrong. Say, “I’m wrong about everything. I don’t know anything. I’m not here to learn or understand anything. I’m here to exist and experience, and I happen to enjoy math and physics.”

When you address science like that, you’ll learn better. Humility is a virtue. Unzip your soul and come into the light, my child.

I was trying to explain this to the girl, but she kept arguing and couldn’t answer a question or type an English sentence correctly. Yet she’s a genius. When you write an unedited eight-word sentence to someone like me, acting like you know something, I look at you like you need to be put in a psych ward. There’s something wrong with you. [Laughter.]

You can’t do math if you don’t know how to write edited English properly. Math is the application of English. It’s like you can’t do engineering if you don’t know physics. If you don’t like physics, get out of engineering. You can’t do physics without math. If you don’t like math, get out of physics.

You hear stories that Einstein’s mathematics was terrible. The kind of math he was bad at is what PhDs do. You’re thinking, “I don’t have to do algebra, and I can invent time travel because I heard a sentence in Oppenheimer.”

Read the letters between him and Levi-Civita. They’re discussing math 20 years beyond you. Einstein was talking about his ability to comprehend the pure mathematics behind theory compared with a pure mathematician. He was talking about PhD-level math.

You hear things in dot-com articles. If you’re a serious scientist, a legitimate PLEM major, never look at a dot-com article again. Only go to dot-edu.

I’m talking to math, physics, and engineering students. The rest of you will find your path. If you’re in these fields and going on Reddit or using social media, it’s an embarrassment. If you need a private tutor, you’re in the wrong place.

Professors won’t tell you directly because they’re afraid you’ll get a gun and shoot them, because that happens, or get your wealthy parents to complain to the university. I’ve seen that too.

Wealthy people have contacted me begging for help with their engineering student. I say, “Your kid needs to change majors.” They say, “With your help, they can do it.” I say, “With my help, I’ll do it, they’ll get a fake degree, and they’ll live with you for the rest of your life.”

They want bragging rights: “My son’s an engineer. It only cost $1.5 million.” Where does he work? “He’s self-employed at home on an individual research project.” On what? “I’m not sure.” I don’t see the bragging rights.

I spent 15 years as a private tutor. All I saw was kids failing miserably. The successful ones were those I showed how to use the textbook and self-study. They flourished.

Some of you are so arrogant and narcissistic that you can’t be reached. If you’re an engineer, pay attention. Engineering is the theme this month. Every question will be engineering-related.

I was trying to explain to this young lady, a physicist, that we were doing an engineering problem from an engineering book using an engineer’s process. She said, “That’s not how I would do it. It’s this book.” I said, “We’re not in that book. We’re in this one.”

She was trying to turn it into two 13-year-old girls arguing with boys about nonsense, playing trickery. Women learn how to lie earlier than men. When girls are four, they’re putting on makeup, having tea parties, and mimicking their mothers. They’re learning to manipulate men as a survival tactic.

That doesn’t work in science. It isn’t tolerable, won’t be tolerated, and won’t get you anywhere.

If you’re in high school considering engineering for money, go into business. You’ll make more money. Engineers don’t make as much as you think. Go into business, and you’ll do well.

If you’re actively in college as an engineer, this is serious. If you’re using Khan Academy, private tutors, or pirating—pirating software is illegal. If you obtain copyrighted information through it, that could be considered a felony. Five years in prison and a quarter-million-dollar fine.

There are people selling drugs to children who get probation. You’re like, “I’m in my mom’s bedroom clicking a button. How is that a felony?” I told you: language. If you’re not on the same page when you hear that, leave. You’re in the wrong field.

An engineer is an honest, trustworthy person, as is a mathematician or physicist. Computer scientists are kind of—yeah, I’m joking. Computer programming is included in the L. In PLEM, coding is language.

Computer scientists are PLEM majors. They don’t do the same math as mathematicians, physicists, and engineers. It’s different math. That’s where the separation begins.

Some of you need a reality check and hate hearing it because you think being an engineer is cool. Do you know what engineers do every day?

I live in a prestigious building. I have an engineer neighbor a few doors down and one of the original AI inventors in the penthouse. He looks like the guy from Terminator 2. I’m like, “I’m living in a movie. This is the dude from Terminator 2, and AI came alive.”

These people wake up at three in the morning. One goes for an hour-long run at four, works for 12 hours, comes home, runs again, and cooks every day. The other does the same. Engineers are machines.

I wake up, sit down, and talk for hours. I’m a mathematician, a physicist—a different breed. A computer scientist is up all night going. We’re different people, but we’re all insane.

We work all day. I don’t vacation. I have no interest in traveling. That sounds like a nightmare. “Don’t you want to see this and eat that?” I have a kitchen. Give me the recipe; I’ll cook it.

I don’t need to travel, get diarrhea and jet lag, and hurt my back sleeping somewhere to eat food I can cook myself.

Scientists are inventors, creators, and problem solvers. We work endlessly, and when we’re not working, we think about work. We love it. It satisfies our souls.

I took a hiatus to write fiction partly because I was sick with COVID for about two years. I couldn’t do math, so I switched to fiction and made a living. That’s difficult, but it’s a living I never want again.

I’m grateful my thinking was taken away for a few years so I could appreciate how much I enjoy math, physics, and working with people in these fields.

Reality check: if you don’t want to work 12 hours a day on math and physics and write English correctly, you’re not doing math. You’re doing arithmetic to induce a natural high from solving a puzzle.

You don’t even finish the puzzle. You have to prove your answer is right. You get the answer, the box goes ding, and you say, “Mom, look how smart I am.”

Mom says, “You’re the smartest person in the world. They’re making drugs come out of their brain by solving puzzles. It’s amazing.” Idiots. This is society. This is what you’re training to maintain.

That’s why I say you’re a janitor. Your career is to make sure people can be proud of their kids taking a poopy.

This month’s theme is engineering. It’s not PLEM Academy, but Sensei returns. It’s Math Monthly. I’m Sensei; you’re a pupil. Understand?

Every lesson will be chosen from an engineering question, not necessarily an engineering book. We did an advanced linear algebra and differential equations book for engineers, near the end, in Chapter 11. It was huge. I’ll show you and review it shortly.

That was the first thing we did because I wanted to show how this works. We can take any book and any problem and figure it out together.

Another objective is to look at unsolved problems, famous and less famous, modern science, new inventions, and original research. It’s a research team.

There’s no set schedule. I do this every day. You can join the problem-solving when I go online, which is at pretty much the same times each day.

You can ask questions and request topics. I’m not going to do anything related to the course you’re in. If you’re in a course, that course is that book. If you leave that book, leave college.

You’re in college to understand that textbook. How hard is that to understand? You spend the first 18 years learning English, typing, and arithmetic, and you can’t type a sentence.

Then you go to college and do the opposite. You’re supposed to learn that textbook, but you think you know how everything works and how school should be.

I did the same thing. Don’t take it personally. But I snapped out of it because I was 24 when I went to college for this. You were 18 or 19.

I had dropped out of high school and worked full time. When I saw how little you knew, I thought, “You finished high school?”

If you’re a high-school dropout or adult returning to college, these kids aren’t educated when they leave high school. High school is a daycare center. They can’t edit a 10-word sentence and think editing a comment is a challenge. Good luck getting through partial differential equations.

This research program is meant to help you develop proper written and oral communication, which is number one on your résumé. It shows you a range of software, particularly Microsoft Office tools and how they integrate with everything, because that’s number two on the résumé.

You’re saying, “What are you talking about—textbooks, editing, grammar, punctuation? College is about arithmetic, problem-solving, and being better than everybody.” That’s what you sound like.

The people in the ’70s dropping acid and doing mushrooms who were in charge of the government—we see the problem. This is why drugs are illegal. We have to fix this issue.

Engineering is the theme this month. Every problem for the first volume of the Math Monthly journal is engineering-themed.

This first one is about notation, the full circle of math, and writing and structuring solutions properly. It’s free. You can download it and look at it.

This is an interactive journal we’re writing together. It’s meant to build your résumé, help you grow up, and expose you to topics you might not otherwise see until an entire master’s degree.

I’m giving you a master’s-degree-level research kind of program at an undergraduate level. We’ll do graduate-level problems. They’re long and tedious.

Junior, senior, and graduate problems aren’t really difficult. A partial differential equation turns into three differential equations—not every time, but that’s how it can work.

You’re doing quantum mechanics, which turns into a partial differential equation, which turns into three differential equations, nine integrals, and a hundred algebraic equations. It’s the same thing over and over.

It’s not advanced, different, or special. Senior year isn’t about arithmetic and getting a high from solving puzzles. I’m trying to give you that experience early.

This is a research program for PLEM enthusiasts. You don’t have to be in college. It would be good for someone in graduate school. Someone working on a master’s has a similar level of education, or approaching education, to me.

It would benefit you to work with someone like me, benefit me to work with you, and benefit undergraduates to have another person like you in the group.

It’s a group problem-solving session. We take questions from books none of us has seen and work together.

I showed you how to navigate a book I’d never seen, one no one uses anymore—or maybe they do. For many, it’s opening a can of worms, but the process was elegant.

I took a random problem near the end, Chapter 12 or 11.8, and showed how you follow it. This points here, that trails there, then another place. It shows you this and that, and you get the answer.

Most of you would take the equation and think, “I’m God. I don’t need to read. I can solve this. It took thousands of years to put together, and the instructions are only in that textbook, but I can do it myself.”

If you don’t follow the instructions, you’re not solving anything. That’s what we’re learning together. I’m showing how to do it properly.

It used to be PLEM Academy. [Unclear phrase.] “Come here, young lady. Sit on my lap.” [Laughter.] Good times. It’s fun. I’m a fun person.

If you watch Instagram, you think I’m angry. If you hang out with me, you’ll realize I’m fun. There are spoiled, deranged children with money who harass me because they think they’ll be engineers.

Why would you work 16 hours a day if you’re rich? Be a business major and do what you want. Why devote yourself to humanity? Why get upset when I say you’ll be miserable as an engineer?

You say, “Screw you. Don’t tell me what to do.” I think, “This kid needs to stay in high school until 30.”

Engineering is the focus for Volume One. I’ll share some of this as I do it. I’m live on Zoom right now. This is being recorded while I’m on Zoom.

Sometimes I record individual lessons until people show up, then we do a problem together. Those sessions are recorded and stored differently.

Right now, I use Zoom, but I might not use it forever. Our live sessions are recorded and stored privately. You’re still online, so choose whether to turn your camera on.

If you’re under 18 and thinking about joining, you need parental approval. I don’t mind, but make sure you have it. I can’t have a 15-year-old popping up here.

I should say you have to be 18 to join, but we’re doing math most 30-year-old scientists don’t understand. Keep that in mind. Some of this will scare you straight. You’ll see it and think, “He’s right. I don’t want to do this.”

Business or medical—it doesn’t have to be business. I’m saying PLEM majors are like janitors. We work all day for your betterment, and we love it. We’re happy doing it.

I love a problem that takes days to solve. I think about it. It goes hand in hand with walking my dog for hours. I contemplate while she runs like a lunatic.

She has the same birthday as Albert Einstein: Pi Day, March 14th. Interesting things we’ll learn together.

Einstein also told his wife he’d give her his Nobel Prize winnings for the photoelectric effect if she granted him a divorce so he could marry his first cousin. True story.

That leads me to believe his wife had something to do with discovering relativity and he wanted to pay her back. They knew that if she tried to publish it, it wouldn’t go anywhere, so it needed a man’s name because of the times—Nazi Germany. Pattern recognition, my child.

Volume One is called Engineering. Go look at the cover. It’s pretty cool. Hopefully, I’ll see you there. Have a nice day.

Professor Jonathan D. Tullis introduces Engineering as the November 2026 theme for Math Monthly, Volume One. The discussion explains the program’s group problem-solving approach and how material developed during live sessions becomes part of the monthly journal and future crash course guides.

Engineering-Related Questions

The planned focus is on engineering-related problems drawn from a variety of sources. These may involve linear algebra, differential equations, physics, and other mathematical subjects rather than coming exclusively from engineering textbooks.

Learning to Navigate a Textbook

A central example is the group’s work with an unfamiliar linear algebra and differential equations text that included Maple code. Professor Tullis describes tracing the problem’s references, definitions, and theorems to reconstruct the method presented in the book.

Writing Complete Solutions

The program emphasizes notation, organized explanations, edited writing, and verification of answers. Professor Tullis presents these as essential parts of communicating mathematical work, beyond obtaining a numerical or symbolic result.

Research & Broader Exposure

Proposed activities include exploring unfamiliar problems, discussing modern science and inventions, investigating unsolved questions, and considering original research. The intended audience includes PLEM enthusiasts, undergraduates, and graduate students interested in collaborative exploration.

Technical Communication & Software

Professor Tullis identifies written and oral communication, document preparation, and familiarity with software as additional goals. Microsoft Office tools and their connections to other workflows are specifically mentioned.

Live Participation & Recordings

The video describes sessions held when Professor Tullis goes online, with Zoom being the platform used at the time of recording. Group sessions are recorded and stored privately, and participants can choose whether to enable their cameras. Members may suggest topics, while the program is distinguished from assistance with their current course assignments.

The Monthly Journal

The journal collects the group’s work, with material also intended for later subject-specific guides. A free introductory edition is discussed as a way to see the approach to notation, solution structure, and verification.

This summary covers the program’s stated activities and goals. Personal judgments and historical speculation in the transcript are attributed to the speaker rather than presented as established findings.