Our latest course, Precalculus 3: Trigonometry, is now live on Udemy. It’s 52 hours of very exciting content about triangles and stuff. No, seriously, this is a big course, full of content, and with lots of solved problems. It will give you a very solid understanding of trigonometry, both its origins and applications.

You’re also given a crash course (6 hours) in Euclidean geometry, so don’t worry if you don’t remember this one from school. You’ll get it here.

You’ll find the outline to the course here. For coupons, check the menu item “Coupons” above, or use our referral code.

This is the deal: sometimes the referral code gives you the best price, depending on if Udemy has a promo going at that point in time. Other times our monthly code gives you a better price. That is the code you’ll find under “Coupons” in the menu, and that changes every month (as I write this, it’s TPOT_NOV22).

I hope we’ll see you there!

*Related*

Awesome! Gonna check it out. Do you have any course for geometry from the very basics to advanced?

Hi Rifat,

It depends on what you need geometry for:

If you need this for trigonometry, then we have it covered in this new-published course “Precalculus 3: Trigonometry” (a crash course in Euclidean geometry, 6 hours, but without practice, and just enough to be able to understand the geometrical part of the Trigonometry course).

We have two courses in geometry in our Master Plan:

1. Euclidean geometry (starting with the axioms, from the vary basics, to all about triangles, circles, etc; some geometry in the 3-space, too), with practice to each section.

2. Analytical geometry (based on the previous one, but now in the coordinate system, with all the computations and plenty of exercises).

These two are planned for later (2024? 2025?), when we are done with our Precalculus and Calculus 1+2 series, Complex numbers, and maybe also ODE and Discrete mathematics, so it will take a while…

We have also some analytical geometry (but just straight lines and planes in the 3-space) in the Linear Algebra and Geometry 1 course (see the last sections http://www.wehlou.com/hania/files/uu/Outline_Linear_Algebra_and_Geometry_1.pdf)

Could you, please, specify what kind of topics you mean when you write “advanced”? Like non-Euclidean geometry?

Kind regards,

Hania

Thanks! You got that right non-Euclidean geometric topics. I just checked out the outline of the Linear Algebra and Geometry course, did you mention any books for it? Cause I didn’t see any. If not, then which one should I follow along with it?

Hi Rifat,

Generally, all my courses are self-contained and you don’t need any books, because I deliver both theory and practice.

I have listed several good books in an educational announcement on Udemy. I copy here the text:

————-

Some of you asked me about good books on the topic. I guess that more of you can be interested in the subject, and this is why you get this message.

I found (today) an excellent book. It is here (intentionally free of charge):

https://math.emory.edu/~lchen41/teaching/2020_Fall/Nicholson-OpenLAWA-2019A.pdf

As I found it today, I obviously don’t follow it in my courses.

The book I often use is:

Howard Anton and Chris Rorres: “Elementary Linear Algebra with Supplemental Applications”, eleventh edition. It’s not perfect but happened to be the course book at the universities where I was teaching.

A pretty nice book is “Linear Algebra and Its Applications” by David C. Lay.

While preparing my courses for Udemy, I don’t just follow one or two books. I find materials from different sources, and I always try to choose the most intuitive approach and best suitable problems to illustrate the theory.

——-

What I did not mention in the announcement is the linear algebra book by Gilbert Strang. This one is also really good.

Kind regards,

Hania

Hello Hania, I wondered whether you thought of making courses concerning high school Algebra (Algebra I, Algebra II) – it’d be helpful for the SAT prep. I’d really appreciate any suggestions you might give me!

Hello Brett,

I don’t have any course in high school algebra, but there are pieces of a corresponding material spread over my existing courses… I guess that this is not the most practical solution, even though the courses are ridiculously cheap right now ($ 9.99 for a 42-52 hours long course during the Black Friday sale, which started today and will last at least one week, probably even ten days), but you can give it a try if you want to.

If you give me a list of the topics covered in Algebra 1 and Algebra 2, I can make a list showing in which courses you find the material.

You will definitely find some useful stuff in:

Free course: Completing the square:

https://www.udemy.com/course/completing-the-square/?referralCode=78B4B7F6C5DD937526D3

Free course: Proofs by induction:

https://www.udemy.com/course/proofs-by-induction/?referralCode=5C8B2F9F4F55B813E725

Precalculus 1: Basic notions:

https://www.udemy.com/course/precalculus-1/?referralCode=BC31ADC3513CB5671594

Precalculus 2: Polynomials and rational functions:

https://www.udemy.com/course/precalculus-2/?referralCode=69E9C040646BEBF347D3

Precalculus 3: Trigonometry:

https://www.udemy.com/course/precalculus-3/?referralCode=CF2BADBA886145FAF304

Linear Algebra and Geometry 1:

https://www.udemy.com/course/linear-algebra-and-geometry-1/?referralCode=B75248FB2F3584AB89B4

Calculus 3 part 1 (just the part about conic sections):

https://www.udemy.com/course/calculus-3-multivariable-calculus-part-1-of-2/?referralCode=DB4AA455838164AEFCF3

(planned for the Winter 2022/23: Precalculus 4: Exponentials and logarithms).

All the courses have very detailed lists of contents, where you can find exactly what you need, and which will help you omit unnecessary details (not needed at a high-school level). You will find these lists on the pages for the courses (here, on this site).

I hope that this helps.

Kind regards,

Hania

Hi Hania

How are you? new year is comming, happy new year to you

could you tell me when precalculus 4 course is released?

after the calculus course is released I hope to be a statistics probabilistic course, the next one is advanced linear algebra, then discrete math specialization!

Thanks Hania !

Hi,

There will be a slight delay in release of Precalculus 4 as we all had Covid during several weeks… Now we are fine, so we will be entering the new year in good health 🙂

I don’t know if I will manage to publish the course in January, but February is probably a safe guess.

Later the Calculus 1+2 series, indeed. Then Complex Numbers, ODE and Discrete Mathematics. I don’t know if I create advance linear algebra after that, or maybe first some geometry courses (Euclidean, analytic), we will see.

Happy New Year to you, too!

Kind regards,

Hania

Hi

i think that Euclidean geometry should be the last one, or maybe not, because it’s just elementary math with very little practical application, which I remember studying in high school but I did not study deeply in college anymore, so I thought it doesn’t have much applied knowledge for practical application.

but analytic geometry is different, it goes hand in hand with linear algebra, so the course on analytic geometry is urgent and more importantly, it has many applications for engineers.

Complex numbers also have many practical applications in digital signal processing.

you said “ODE”, you mean “Ordinary differential equation” but this will be learned in calculus? so we don’t need to add a separate course at this moment.

however before thinking about releasing this course i think a course on statistical probability and then discrete math would be better, because discrete math not only teaches discrete math it also teaches proof techniques, which proves to be the essential foundation when learning any math.

Statistical probability has applications in life where everything is around data.

Thanks Hania

Hi,

Yes, ODE is “Ordinary Differential Equations”. At some universities it is a part of Calculus, indeed, on other it is a separate course. I have decided to separate it from Calculus.

Kind regards,

Hania

Hi Hania

in discrete math there is a “counting and probability” topic, if we teach discrete math before statistical probability course, that is unreasonable.

Thanks Hania!

Hi My Kun,

I disagree that it is unreasonable. To the contrary: Discrete Mathematics course is more elementary than Statistical Probability, and an introduction to some topics (like counting and probability) can be beneficial for many students; they will simply be better prepared for this more advanced course of Statistical Probability in the future.

Kind regards,

Hania

Hi Hania

It is correct to say that the “counting and probability” part is just a section in discrete math, but would it be better to teach statistical probability first to get overview, then we would be repeated in that discrete math?

At my university, I was learned probability and statistics first, then discrete math.

Thanks Hania!

Hi, My Kun,

Maybe it was better for your university; I don’t know their reasoning behind this decision, but it could be anything from “this is a better flow for our students” to “this is the only option which works for our organisation after teacher X has left us”. We don’t know how they made their choices.

My choice is “Discrete Mathematics first”. My reasoning behind it is:

1. for my students: this is one of the most elementary courses which can be studied directly after high school; probability and statistics need more preparations and maturity.

2. for myself: I am a mathematician, not a statistician; I want to create the courses from my main area or expertise first, after that I can concentrate on courses from other domains. Probability and statistics are extremely hard to create in a way which is both correct and practically relevant for the students; one needs to create practical cases to illustrate the topic in a clear way, and also use various types of software for necessary computations. Otherwise the course can turn worthless (either too theoretical or too trivial; neither is good…). I have decided to create

mathematicalcourses first; later I can expand my activity to other domains, but I don’t want to push it.Kind regards,

Hania

hi Hania

The course on statistical probability is expected to be released after the discrete specialization, so at least mid-2024 it can be released, if you are not confident with your statistical probabilities knowledge, Personally, I think you should consider finding a female lecturer who really understands statistics to collaborate, but provided that her course is also in your style, ie quality video recordings, using apple pen to record with ipad pro, the teaching style remains the same, just different from the teacher.

I like female lecturers more than male lecturers, I feel that female lecturers will be more enthusiastic than men, that is my personal opinion.

Thank you!

Hi My Kun,

Actually, I do have a good friend from Ukraine who teaches Statistics. I was thinking about joining forces with her for a future course in Statistics, but I absolutely want to complete our (mathematical) Master Plan first.

Kind regards,

Hania

hi Hania

it will take too long to get to that time, if she’s willing, could you suggest her to create a channel on udemy,

you should suggest her to teach in the same style as yours!

Also in your master plan, like the first message I said, euclid geometry that course should be omitted, because its applicability is almost nonexistent in practice, and it is not necessary for the engineer.

an advanced course in linear algebra or analytic geometry would be better instead.

Thanks so much!

Hi My Kun,

Thank you for your suggestions.

My friend is not ready yet for creating courses on Udemy. She has to improve her English first. But, of course, I have given her your advice and she will consider it in the future.

Kind regards,

Hania

Sorry to bother, but it is almost the end of February.

When will Precalculus 4 be released?

Thanks.

Henry,

We’re nearing the end of the course. It’s not going to be finished in February, but in the first half of March.

Sorry about that.