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When will the calculus 1 class realese?
Steve,
The first part (Limits and Continuity) hopefully during the summer. The second part (Derivatives) during the fall.
Hi Hania, I hope you’re keeping well. Earlier, I noticed that you had plans to release the complex numbers course before the calculus courses. However, it seems like you’ve changed that and rearranged the complex numbers courses to be released later. Could you please let me know the reason for this change? Is it possible for us to learn calculus without knowing complex numbers? Thank you!
Hi My Kun,
I don’t think that I ever planned Complex Numbers before Calculus. You don’t need to study complex numbers before Calculus. The first time you actually need complex numbers for Calculus-related topics is second-order linear differential equations but, in my planning, ODE will be a separate course: after Calculus AND after Complex Numbers.
You need complex numbers (to a very minor extent) for factoring polynomials, this is why I have a lecture “Crash course on complex numbers” in Precalculus 2, so that you get the information about complex numbers you need for following along. I also had a brief introduction to complex numbers in Precalculus 3, just to be able to present some applications of trigonometry.
Kind regards,
Hania
Hello Hania, I’m Mariana, hopefully you remember me, I have a question and a kind of request. Did you ever think about make a course of math analysis? I just have course that subject in college and, sadly, I don’t understan anything. It’s all about measurable functions, Lebesgue measure, and all that kind of stuff. If you don’t have plans for that course, could you please recommend me some books so I can found información and look up for exersices.
Hello Mariana,
Yes, I do remember you 🙂
Real Analysis: right now I am working on “Calculus 1, part 1 of 2: Limits and continuity”, which will be the most theoretical one out of the entire Calculus series. I believe that this course will help you understand a great deal of Real Analysis (as I have prepared quite a lot of really theoretical lectures, but in an understandable style), but I don’t plan to include Lebesgue measure or integrals, because it would just be too much…
You can have a look at this book, maybe it will help:
https://mathcs.org/analysis/reals/integ/measures.html
This text looks quite approachable, too:
https://towardsdatascience.com/lebesgue-measure-and-integration-64f5c45d7888
Also, this guy write excellent posts about maths. This one is kind of related to your topic. If you can find another articles written by him, about measure theory and Lebesgue integrals: go for it:
https://tivadardanka.com/blog/the-mathematical-foundations-of-probability
I wish you all the success in your studies!
Kind regards,
Hania
Thank you very much Hania 🙌
Hania, I have another question, when do you plan to upload the calculus course? I’m to excited to purchase it inmediately you uploaded it.
Hi Mariana,
Thank you for waiting for our Calculus 🙂
I am currently working on “Calculus 1, part 1 of 2: Limits and continuity”. I hope to upload it by the end of the Summer.
This first part is very “theoretically demanding”, as all the other parts of Calculus (including Calculus 3, and even beyond: ODE, etc) are built upon the theory introduced in this first course. So, there is a lot of pressure here… to get it as complete as possible.
I will send an announcement about the release the same day the course is published, and we will also write a post about it here, so you won’t miss it 🙂
Kind regards,
Hania
Thank you Hania, I’ll be waiting 🙂
Hania, you probably say “Would you please ask all your doubts in only one question?” sorry for that, right now I am watching that you have haduploaded the information of the order you recommend to study your courses, and another document, while I was reading the first one (the one about the best order for studying) I saw you have planned one that will be called “Abstract Algebra” or “Algebra Structures”, and I have some questions about this course:
1. Is this course going to be like the continuation part of the series LAG?
2. As the name of the course says, it will be abstract algebra, so I supposed that it will be a course with too much theory behind, am I correct?
3. You will talk about topics like real analysis?
4. You will covered all about “Abstract Algebra” in only one course, or do you planned to do also a series of them?
5. Topics like Lebesgue measure, prehilbertian spaces, and stuff like that will be covered?
I also want to ask you something about your plans with the ODE course, is this going to be also a series? I ask this because, well, at my university, I have had 2 courses, (Ordinary Differencial Equations I, and Ordinary Differencial Equations II with Theory in Numerical Methods), and I will have another one, called “Partial Differential Equations with Theory in Numerical Methods” and I want you to ask, mainly, what will be the content of this course?, it will be only about ordinary differential equiations? And, if the answer is “yes”, could you consider the idea (or request) about doing also a second course talking about partial differential equations?
It will be awesome if you consider to do courses about probability and statistics too, but I have the feeling that you don’t like this too subjects because they are too practical, if I am incorrect please correct me.
Thank you to much to read me, and sorry for this to be my third question in a very short time pass.
Hi Mariana,
No problem, you can ask questions 🙂
The real problem is that I don’t have all the answers yet… I don’t know exactly yet what I will contain in my courses which are planned *after* Calculus. I will try to answer your questions as good as I can today:
1. No, “Introduction to algebraic structures” (or something like this) will not be a continuation of LAG. But linear spaces (or: vector spaces) are a good example of an algebraic structure. Other examples are: groups, rings, fields.
2. Not necessarily. I will start by defining some main algebraic structures and give plenty of illustrative examples. I have no idea how far I will get into the theory; my main purpose here will probably be “a non-scary introduction to main algebraic structures”, which should help my students understand “heavier” courses in Abstract Algebra. Mine or somebody else’s.
3. I will include some topics of Real Analysis in Calculus 1+2. Today, for example, I have recorded some lectures about proving stuff from the axiomatic definition of ordered field. It is usually taught in Real Analysis courses. But I don’t have (yet) the ambition to create any complete course in Real Analysis.
4. Don’t know yet.
5. No plans for this yet.
6. ODE: right now I have planned only one course. Directly afterwards I want to create one or two courses in Discrete Mathematics, because I know that very many students are waiting for it. (PDE: probably not.)
7. Statistics and Probability: your feeling about my feelings is absolutely correct. I’m so sorry! The closest I will come to Probability will probably be a section on combinatorics in my first Discrete Mathematics course…
As you can see, I have also many question marks about my plans 🙂
I wish you all the best!
Kind regards,
Hania
Hi
I hope you put us in progress level of the cours and add a book or note that you used through the course
thanks Dr.Hania
You can have a look at the files attached to the bonus lecture (the very last lecture in each of our courses). One of the files has the title “How to get more practice plus info about books”. Hope that this helps.
Regards
Martin
Hello Hania,
I trust you’re doing well. I’m Sufiyan, a computer science student hailing from India. To ensure I don’t take up too much of your valuable time, I’ll dive right into my query, preceded by a brief explanation.
My aspiration is to excel in my field, both during my academic journey and in my professional pursuits. However, I’ve consistently encountered a significant hurdle in the form of mathematics. Until now, I’ve managed to avoid delving deeply into mathematics, be it during my high school years or my time in college. Regrettably, I’ve reached a point where evasion is no longer viable. What’s noteworthy is that due to my limited exposure to mathematics, my cognitive faculties struggle to grasp its intricacies. This predicament has left me feeling ill-equipped to surmount the challenges posed by this subject.
My quest to acquire mathematical proficiency has led me to various learning resources, but I’ve encountered swift confusion that impedes my progress. Your courses have caught my attention, yet I’ve noticed they are designed for college-level students. Ironically, while I am indeed a college student, my mathematical skills are comparable to those of a high school level. Given this disparity, I’m keen to inquire whether commencing with your linear algebra courses would be a suitable option, or if there’s a prerequisite foundation I need to establish first.
Over a substantial period, I’ve grappled with this obstacle, and any guidance you could offer would be immensely appreciated. Thank you for your consideration of my query and your valuable time. Wishing you a splendid day ahead.
Hello Sufiyan,
Thank you for this question. I can tell you that you are not alone in your situation; many professionals discover after some time that they need more maths, and then they are looking for the best ways of refreshing their forgotten knowledge and learn new stuff.
Linear Algebra and Geometry 1 is a very good course to start with, as you don’t need much prerequisites (just basic arithmetic, and an open mind) in order to be able to follow along and learn the content.
Another great way to start your journey back to maths can be “Precalculus 1: Basic notions”, the first course in our Precalculus series.
All the four courses in this series have a subtitle “Mathematics from high school to university”, and this actually tells you all about their role: we start somewhere at a high school level, we go through all the high-school stuff needed for the understanding of more complicated topics, and we also discuss some university-level topics. The first course in the series is actually a course in mathematical literacy, and it makes it possible for you to become successful in your quest for becoming friends with really advanced maths.
If you decide to purchase these courses, please use our referral links
For Linear Algebra and Geometry 1:
https://www.udemy.com/course/linear-algebra-and-geometry-1/?referralCode=B75248FB2F3584AB89B4
For Precalculus 1: Basic notions:
https://www.udemy.com/course/precalculus-1/?referralCode=BC31ADC3513CB5671594
Udemy will probably start their large $9.99 sales in some days, and then these links will lead you to the courses at a very low price.
You can also try applying our discount code: TPOT_AUG23 (or, in September 2023: TPOT_SEP23), that gives a constant low price, even in the time outside the sales.
(All our courses are a part of the Udemy Business program, so ask your employer if your company has an account at Udemy that you can use.)
I wish you all the best in your mathematical journey!
Kind regards,
Hania