Today we published the fourth and last in the series of courses on precalculus on Udemy. You can find the outline to the course here.

To get the best possible price (and give us here the most possible joy), use one of the following to links (which one turns out cheapest varies in time and place):

The “TPOT” link with the code that updates every month, or the link with our referral code that doesn’t change with time.

To get the current “TPOT” code, check out the “Coupon Codes” link in the menu bar at the top. That one automatically updates the code every month.

*Related*

Hi Professor Hania

I hope you are doing well

I know you are currently busy with your master plan .

And I really do appreciate the great work you are putting into creating the content.

But I do have a request if you please I know it’s a little bit early to ask about that but after you finish your master plan in 2025 I hope you could take into consideration creating another master plan for the most common post graduate mathematics modules the same way you did with the under graduate modules

Another thing Just a matter of curiosity were the post graduate modules requested by other students like me

Thanks in advance

And I wish you the success and the best of luck with creating that great helpful content

Hi Ahmed,

Thank you for your kind message!

Generally, courses on higher level don’t sell too well on Udemy, as the majority wants the high-school stuff, or early university or college classes. But if we get really rich by 2025, I can imagine to invest my time and energy in courses on a higher level, even though I *know* they will not sell well.

Your second question: we get many questions about courses on undergraduate level, almost every day, but until now we just had two (or: three, including you) persons asking about more advanced stuff. So, you see, the proportion is very much in favour of the less advanced topics. BUT I don’t exclude the more advanced subjects from my future plans, not at all!

All the best for your studies!

Kind regards,

Hania

hi Hania

I’m interested in “transformation geometry” because it seems to be related to linear algebra, although it’s in analytic geometry, could you tell me whether what course “transformation geometry” is taught in your previous course?

Thanks!

Hi Professor Hania

You said “But if we get really rich by 2025, I can imagine to invest my time and energy in courses on a higher level, even though I *know* they will not sell well.”

Out of curiosity I’d like to know what is your standard for the word “rich” how do you measure it

I mean you currently have about 14k student for your courses what’s your goal number of students that if you had for your courses by 2026 (when you completely finish off your master plan) you would consider your self rich

The second thing since you are currently focusing on undergraduate courses

Is it possible to take these courses into consideration

Real analysis

Topology

Numerical analysis

Probability and statistics

Operational research

Hi Ahmed,

I was joking about “rich”. I don’t think that it is possible on Udemy… (if you don’t create IT courses). I meant “that we earn enough on Udemy so that Martin does not have to work as medical doctor to support the family”. Now he is doing both: works as MD, and edits our courses. I gave up my job at the university to be able to create our own courses full time.

The number of students does not say much about earnings. We have also free courses (3 pieces), so some students don’t pay at all. Moreover, everybody buys during sales, and a majority of purchases are via Udemy’s promotions, and then we get 37% of the money the student is paying (the rest is for Udemy), then subtract the taxes… From some low-income countries we earn less than 1 dollar per course per student, and you know that our courses are about 50h long. On average, we get about 4 dollar per course per student. The brightest moments are when we sell our new courses and students use our coupon codes or referral links; then we get 97% of what they pay :-), around 10–12 dollar per student per course.

Right now, per month, I earn from Udemy less than what I earned monthly when I worked for the university, and we are two people who work on our courses. Far from rich.

But we hope that when Calc1+2 is out, we will come closer to “2 times a decent monthly pay”. And, of course, we hope that the students will use our coupon codes or referral links.

So, please, spread the word.

Real analysis will be partly covered in our Calc1+2; I have included some parts of Real Analysis in the Precalculus series. Maybe I will make a separate Real Analysis course in the future. Topology: possibly. Numerical analysis: it depends (Martin would need to do some programming for this course). Operational research: is far beyond my domain of expertise, so for this one I have to say “no”.

Kind regards,

Hania

hi Ahmed

too early to talk about that, be an engineer, I need courses in discreate math, advanced linear algebra and statistical probability first, which are very essential in math.

hi Ahmed

too early to talk about that, be an engineer, I need courses in discreate math, advanced linear algebra, statistical probability and analytic geometry first, which are very essential in math.

Hi Professor Hania

I hope you’re doing well.

I wish you great success with your courses .

What I understood is that :

Real analysis

Topology

Probability and Statistics

are in your scope of work (since they are common courses for undergrad students ) , but you haven’t decided yet wether you will create content for them or not .

So when to expect the decision to be made ?!

If your decision were to create content for these courses would you please consider modifying your master plan and add them to it .

Thanks in advance

Hi Ahmed,

I don’t want to take this decision (nor adapt the Master Plan) before I have completed the current Master Plan. I find planning too far in advance too stressful and overwhelming. I hope that you can understand it.

Kind regards,

Hania

Dear professors,

do have any month – indicatively, of course – of release of the Calculus 1 course?

Dear Stefano,

I hope that we can release the first part (Calculus 1, part 1 of 2: Limits and continuity) in June, the second part (Calculus 1, part 2 of 2: Derivatives with applications) in October.

Thank you for choosing our courses! We appreciate it a lot.

Kind regards,

Hania

Hi professor Hania

I am applying for a master’s degree in mathematics and before you become qualified to join the Program you have to study some undergraduate modules like linear algebra and abstract algebra and pass their exams.

For linear algebra

I’d like to know if your linear algebra courses are enough to allow me to pass that level of exam questions and which part of your courses would you recommend for me to purchase that focus on the exact topics of our syllabus

Thanks in advance

———-

I’ll provide you with a Google drive link which contains previous year exams

I’ll also provide you with our professor notes so you get to know what our syllabus is for the course

Previous year exams

https://drive.google.com/drive/u/0/mobile/folders/1lOcV6gztjklimKtrPyfuY0noWdE3v8-W/1Jo-YjEGNLnMgiQOl6yXPeEK3PXqc6q4e?sort=13&direction=a

——

Our professor notes

https://drive.google.com/file/d/1H12j-G6pE28flXWhPg9sQ2r0LE-vtnAm/view

Hi Ahmed,

I have looked at your professor’s notes and it looks like the majority of stuff you need is in Linear Algebra and Geometry 2 (change of basis, linear transformations, eigenvalues, diagonalization of matrices). Plus harder problems on the same topics (AND symmetric matrices) in Linear Algebra and Geometry 3. If you discover that you need some basics from Linear Algebra and Geometry 1, you can always go back and have a look there, but your exam seem to be more on the level of LAG2 and LAG3.

I would recommend that you go through the old exam problems and try to solve them. If it is hard, revisit the theory and examples in LAG2. Then, you can look for similar problems in the outlines for my courses, so that you get more practice:

https://www.wehlou.com/hania/files/uu/Outline_Linear_Algebra_and_Geometry_2.pdf

https://www.wehlou.com/hania/files/uu/Outline_Linear_Algebra_and_Geometry_3.pdf

https://www.wehlou.com/hania/files/uu/Outline_Linear_Algebra_and_Geometry_1.pdf

Only in this way you can see if you don’t miss any topics. If you are not sure where (or: if) you can find some specific topics in my courses, drop me a line, and I will help you find the right spot (or: tell you that my courses don’t cover this particular topic).

I wish you all the best during your preparations for the exam. Hope you get in!

Kind regards,

Hania

Hi professor Hania

From what I understood the entire part 2 and some of part 3 covers the topics which exist in my syllabus

I’ll provide you with our last year final exam and I’d like to know which section of your courses problems PDFs provides a similar level of questions as the exam I’ll provide you

For example

Q1 —> part2 pdf section 4

Q2 —> part 3 pdf section 2

And so on

Thanks in advance

https://drive.google.com/file/d/1beYbGs5Jik8Hmbt-QORWIFqMhWviy3oU/view

Hi Ahmed,

I have looked at your exam questions and I see that they are in a way more theoretical than my courses. This is not a surprise, as your future studies will be “Master program in Mathematics”, while my courses are in the first place meant for engineering students and professionals needing maths for their work.

You will find (almost) all the elements in my courses, but in a more practical setting, not so much in a theoretical setting.

For example:

1. I didn’t discuss spaces like W+V and direct sum of W and V. Not that it is difficult, I just did’n discuss them. You might look for example here:

https://math.libretexts.org/Bookshelves/Linear_Algebra/Book%3A_Linear_Algebra_(Schilling_Nachtergaele_and_Lankham)/04%3A_Vector_spaces/4.04%3A_Sums_and_direct_sum

2. I didn’t introduced the space Hom(V), even though I discussed linear transformations. You can have a look here to complete the info:

https://solitaryroad.com/c033.html

3. I didn’t discuss adjoint operators, so you need to read about it somewhere else.

All the other topics are in my courses, but I am extremely reluctant to indicate in which places in my courses you find the material to the solutions to your exam questions. Linear Algebra is an enormously large domain and everything is interconnected. If I tell you “see Section 5” and you follow my advice without looking at earlier parts, you might miss a lot of stuff. I don’t know your previous knowledge. Who knows, maybe you need to see LAG1, too? This is something I cannot know.

For example: question 3A is basically about inner products, but if I just tell you to watch Sections 7–10 in LAG3 about these topics, you will miss eigenvalues (Section 14 in LAG2).

Also Question 2 needs knowledge from plenty different sections, because you have both spaces and their bases, the space of polynomials, eigenvalues, and diagonalisation.

The thing is that exam questions are complex and need a solid knowledge of the domain. My courses offer a possibility of gaining a really solid understanding of large parts of linear algebra, and each section in all the three courses contributes to this understanding. Maybe you can skip some of them, but you are the only person who can decide about it. I definitely don’t feel comfortable in giving you such a precise advice as you ask for, because I could unintentionally harm you by narrowing down the stuff you need to study (we know the content of the previous exam, but not the future ones!), or maybe by putting too much on your plate.

I hope that you understand.

I wish you a lot of success!

Kind regards,

Hania

Thank you Very very very much Professor Hania for your precious time and valuable advice I really appreciate it , best regards ❤️🙏

Dear Professor,

could you suggest a textbook with solutions about proof writing?

Thanks in advance for your attention

Dear Stefano,

You can have a look at this one:

https://www.math.cmu.edu/~jmackey/151_128/bws_book.pdf

Somebody published this link on LinkedIn. I hope that the author wanted it to be public.

Another one, with solutions to chosen exercises:

https://users.metu.edu.tr/serge/courses/111-2011/textbook-math111.pdf

I hope that this helps.

Kind regards,

Hania

When will Calculus 1 release?

We’re aiming for second half of August. That will be part one of Calculus 1. Part two 2-3 months after that.

Calculus 2 ?

After that, i.e. 2024.

hi Hania

It’s been 5 months since the last course, could you possibly disclose to me the release date of the Calculus 1 course?

Hi,

I am now aiming for September.

Kind regards,

Hania

Dear Professor Hania,

When would you please publish Calculus 1. I urgently need the course immediately

We’re right in the middle of recording it, or a bit past the middle. So it’s probably published within two or three weeks.