An excellent and comprehensive course with clear explanations and many solved problems. It provides a strong foundation in precalculus, mathematical logic, proofs, functions, sequences, and series.

Many thanks to Hania Uscka-Wehlou and her team for the remarkable effort behind this course.

This is my first impression of you, you look so professional and so passionate about mathematics

Great course!!!

solid

excellent vision

Great content. Easy to understand. So much helpful material than most other courses

The course is very well done, I’m quite pleased.

Fantastic resource!

Just starting but looks really promising

Simply THE BEST

This is one of the best courses anyone can find, everything is explained in a very intuitive and detailed oriented way.

This is one of the best courses you may ever take. If you struggle with math and don't know why, this course helps solve the problem from its √ .

This was one of the best courses I've ever taken, anywhere. The thoroughness, attention to detail, slides, notes, and exceptional video lectures are really unmatched on Udemy or anywhere else. The foundation in this course, if worked through diligently, will enable you to learn a lot and have fun doing it. I'm very much looking forward to the next course from Hania!

really good course, unfortunately I haven't found it soon ahahha

Really enjoying the course and the pace and how meticoulosly the concept are explained. I'm only at lesson 12 of the first module and topics were quite simple so far and it's been great, let's see once it gets more complicated.

The course provides good theoretical foundation, with practical examples demonstration. It even involves concepts from abstract algebra, propositional logic, proof techniques, other concepts from foundation in mathematics. This is what you most probably don’t meet in high school, but these concepts give you deeper understanding when you start learning more advanced courses. However, it requires some maturity is school maths from you. If you have problems with basic math like arithmetic calculations, solving equations etc., I would recommend to look for another, more basic course. But if your skills are good enough, the content will be useful and surprisingly interesting.

I can't wait to get into this material!
Gary

Honestly I failed in my school maths and could never take up maths as a core subject in my college, but willing to get into AI / ML field where maths is a must, this I opted for this path of learning maths from High school to phd level, I don't think anywhere on earth there is any trainer providing such tailored courses to aspirants like me, i literally felt it was designed only for me. While the length of the videos might seem to be way too big, but every second is worth, if you want to master maths to the root, that's how maths should be studied, not like how they teach in most of the schools, where passing exam is main objective and not building a solid foundation for solving real world problems. Couldn't be more thankful to Hania

I am still learning in this course ,but so far it seems like the kind of course that will teach you math in an intuitive way not just memorizing formulas. It is exactly what I wanted and I recommend it to anyone who actually wants to understand math and not just memorize it.

Simply amazing, a 10 out of 10 course! If you really want to improve your mathematical skills, the classes of professor Uscka-Wehlou are the best choice out there.
So, if you want to be able to reason and understand instead of memorize formulas, this course is for you.

About the course
This course introduces essential knowledge if you want to study high-level mathematics by starting from the beginning and explaining the why of things by gradually building up over a well-structured curriculum.
From introductions to notations, sets, formulas and proofs, working through this course you will see the extreme care the professor took in the construction of this course, the lectures and also her broader curriculum.

About rofessor Uscka-Wehlou
The professor of this course is clearly an expert in the material she is teaching. She is able to present and introduce tough concepts clearly in a lovely manner.
You will find that she is a detail-oriented, honest and passionate professor with a great interest in both mathematics and teaching, you will see this, for example, during the lectures and in the Q&A.

Pracice
a) You will find many lectures discussing problems based on previously introduced techniques, theories or explanations, which I recommend attempting on your own before watching the lecture.
b) In the beginning of the course you find attachments with detailed explanations of all the listed topics with plenty of additional material so that you can practice on your own.

Q&A
The Q&A section in this course is of great quality. The professor takes great care of providing detailed explanations and is very honest in doing so. Additionally, there are some great posts by fellow students that you should read.

Well Taught

I'm a teacher of mathematics. I will take this course as new ideas to learn mathematics...

I was surprised to find that the level of mathematics encountered in this course is of a higher order than the name suggests. I expected to see content mirroring the information that can be found in popular precalculus books and am glad that the exposition exceeds that level. The most important aspect of this course is the energy that Dr. Hania brings into these lectures.

Aprendi mucho.Machine translation: I learned a lot.

Excellent introduction going to start this course

fue un gran apoyo ya me ayudo bastanteMachine translation: It was a great help; it really helped me a lot.

Well deserved for the lecture excellent if perfect is not defined yet.

Muy bienMachine translation: All right

muy buen cursoMachine translation: A very good course

Muy buena explicación, entendi todo sin problema algunoMachine translation: That was a great explanation; I understood everything without any trouble.

excelente muy detallado!!Machine translation: Excellent—very detailed!!

If you want to learn real mathematics, go for this course, no doubt about it.

porque explica todo con claridadMachine translation: because it explains everything clearly

Great explanations, I love the quality of the content. It is so much easier to understand when everything is explained in detail. Thank you!

Math has never felt this simple and logical before! The way each concept is explained makes everything so easy to understand. I really like how the lessons show where ideas actually come from instead of just formulas — it gives real meaning to what we learn. The future overviews are amazing too; they help me see how topics connect and what’s coming next. It’s truly inspiring and makes me enjoy learning math!

great teaching way

Hasta ahora estoy muy satisfecha con el contenido del curso y la forma en que la profesora Hania explica todo de forma clara. Excelente elección.Machine translation: So far, I'm very satisfied with the course content and the way Professor Hania explains everything so clearly. An excellent choice.

this is a very detailed course and the concepts are explained nicely

I learned a lot of things. Not just the subject matter, but the techniques in problem solving

Very well organized and thoroughly prepared.

I like being tutored by a human teacher (not machines and AI). Madam is undoubtedly a very good teacher and explains difficult concepts in a very easy to understand manner. Wherever possible, she provides geometrical interpretation, which allows you to actually "see" Math.
Also, when practicing problems, you are likely to find some questions difficult or tricky, in such cases when you put up your queries to her, she finds time to respond and patiently replies to all the queries.
You will definitely end up learning much more than you had expected. (Personally, speaking during my interaction with her I could learn several extra things also like how to use graphing calculators, how to automate calculations with LateX both of these, may be related to but are not strictly Math)
But I would request madam to incorporate more practice problems in this course, like workbooks or worksheets for each topic/ video lecture. or a short test say 10-15 questions, after each video lecture.
Currently, with this course you get access to two books- precalculus pre-requisite and pre-calculus books. Both are excellent books to practice but they are not closely mapped to madam's lectures.

Great Instructor, great didactics!

This mathematics course on Udemy with the professor has proven to be one of the best investments in my education. The professor is extremely knowledgeable, and it is clear that every lecture is based on a deep understanding of mathematics and extensive teaching experience. Each topic is explained thoroughly, yet in a way that is easy to follow, which is very important for students with different levels of prior knowledge.

What impressed me the most are her pedagogical skills. The professor not only delivers knowledge but also structures the material in a way that is logical and easy to grasp. Her teaching methods encourage active thinking, and through numerous examples and explanations, she further strengthens the understanding of key concepts.

In this course, I learned many important things, such as absolute values, which are essential for understanding the delta-sigma definition of sequences. The course also covers topics related to functions (domain, codomain, injection, surjection), as well as material on proving mathematical statements. A strong emphasis is also placed on logic, sets, and relations, which helped me build solid foundations for further studies in mathematics. This course will be extremely helpful for students who will be taking calculus or linear algebra in the future. The amount of material is huge and requires time, dedication, and patience, but the professor also provides books and collections of exercises for solving problem-based tasks, which makes the learning process much easier.

She is also always willing to answer students’ questions. Her responses are clear, quick, and concrete, which gives additional confidence during the learning process. What I especially like is the possibility of submitting your own solution steps and checking the correctness directly with the professor. This is a huge advantage because the student is not left alone with doubts but instead receives constructive feedback and guidance for further improvement.

For all these reasons, I recommend this course to everyone who wants not only to learn mathematics but also to understand its logic and beauty. The professor is outstanding in both her professional expertise and pedagogical role, and her teaching approach motivates and creates a positive learning atmosphere. For me personally, this experience is a true example of how online education can be just as good, and sometimes even better, than traditional in-person lectures.

I highly recommend this course to all students preparing for university who may not have enough high school background in mathematics. This is the right course for you! And not only this one — the professor has also prepared three additional sequels (Precalculus 2, 3, and 4), which allow for systematic and gradual progress toward higher-level mathematics.

Exceptional teaching quality. No stone unturned. Lots of similar courses out there but none I've seen so comprehensive.

well arranged

This course is absolutely outstanding—though that comes as no surprise, since every course by Professor Hania is pure gold. Her teaching consistently delivers clarity, depth, and inspiration. It's always a wonderful experience to learn from her, and this course is no exception. Thank you for the incredible work you do. I truly can’t imagine how it could be improved in any way.

perfect ! i'll watch the whole maths series !

Been slowly working my way through the course since I'll be heading back to school here soon and definitely need the refresher on my mathematics. Everything has been explained so clearly as of now (about halfway through section 3). I'm very excited to push forward and get to the more advanced concepts to see how I do!

Very comprehensive and the best preparation for college math I've seen.

This is the most professional instructor I have seen so far

Wonderful teacher.

Incredible teacher. She has the rare ability to 'teach' mathematical reasoning. Always working from principles and using illustrations; she makes mathematical concepts accessible and even possible to intuit.

awsome course

am deeply grateful for the opportunity to attend this course. Professor Hania has not only demonstrated profound expertise in the subject but also a remarkable gift for teaching. Her explanations were clear, thoughtful, and delivered with such genuine passion that every session felt both engaging and enlightening.

What touched me most was the way she made complex concepts feel accessible and meaningful. Her ability to break down difficult material, patiently address questions, and create an inclusive learning environment made a lasting impact on me.

This course has been one of the most intellectually enriching experiences I’ve had, and it is entirely due to Professors dedication, clarity, and care as an educator. I feel inspired and better equipped to continue learning thanks to her.

Thank you sincerely for such an unforgettable learning experience. Just getting into this first course i am in love with her teaching will continue further and waiting for more courses to come

I’ve enrolled in and completed many courses on Udemy, but I’ve never given a course a 5-star rating after watching just 5% or a few lectures — until now.

Professor, thank you from the bottom of my heart. 🙇‍♂️🙇‍♂️🙇‍♂️🙇‍♂️🙇‍♂️

You’ve made this subject and its complex topics not only easy to understand but incredibly engaging.

The depth of knowledge you bring is truly remarkable, and I’ve never seen it explained with such clarity and passion.

Your soothing voice and the calm, thoughtful way you teach inspire me to keep learning more and more. 🙏🙏🙏

Thank you once again — sincerely, from someone who has been away from mathematics for 14 years.

too good

muy buen cursoMachine translation: A very good course

FUe muy buena los ejemplos me ayudaron a entender los temasMachine translation: It was really good; the examples helped me understand the topics.

Me parece interesante y muy bien explicadoMachine translation: I think it's interesting and very well explained

Muy bien explicadoMachine translation: Very well explained

muy claro he interesante la introduccion del cursoMachine translation: The course introduction is very clear and interesting.

great content and pace

brutal

excellent course with killer visualizations

Fantastic effort and great service to everybody who struggled with maths in high school and beyond. The effort is truly appreciated. Wish more math teachers had the skill and interest to teach like this.

I'm having such a nice time learning calculus with Dr. Hania. I'm a med student but I'm studying Calculus just out of pure passion for numbers and I'm having a blast. Congratulations for this amazing job Dr. Hania.

This is a university level introduction, no less expected of a doctorate degree holder.

I wish I had such teacher when I was in school. Now I can finally catch up and all thanks to those wonderful courses Hania is delivering. Thank you for your wonderful work, Hania, all is much appreciated!

Amazing course! I am an engineer who simply took many of these concepts for granted in high school & university. It's refreshing to revisit them and see how they all fit together so nicely and logically to make more advanced mathematics possible.

Clarity on explanations of the study plan.

Amazing method of teaching. loving Math now

Hania's courses are literally one of a kind and extremely valuable to many people here, especially those who are majoring in STEM fields, it’s literally a university level course presented in a visually appealing way. I can't imagine how much effort it took for her to create these wonderful courses.

This course sets the foundation for all of the others to come. You can tell that Hania put a great deal of thought into the setup of the course and the presentation of the material is clear and focused.
With these lectures you can pick and choose what you need to succeed in the more complicated courses, depending on how far you intended to go with university level mathematics or just watch them straight through in case you missed something in your previous math courses. I am so glad I bought this course and can't wait to go on to the next 3 parts and later the Calculus courses.

Clear and concise communication

Great course.
It serves me as preparation for my math study in university.

Great way to learn arithmetics

Los conocimientos compartidos a traves de los videos son especificos y clarosMachine translation: The information shared through the videos is specific and clear

Very simple and that give a clear understanding on what this course it's all about .

yup

Exceptional

every computer programmer must take hania math courses.

Excellent teacher!!

amazing, detailed and presented in easy to understand. from what I see, this looks like the best course among maths courses I have seen so far.

Wonderful instructor who gives clear explanations, sometimes with a touch of humor. Numerous examples which is perfect for my learning style. Excellent course!

Fantastic course with a very detailed syllabus. Really glad that i undertook this course

I am almost half way through the course and i am beginning to make sense of what I rot learned in the school and college courses. Thank you Ma'am Hania. Can't thank you enough......

Incredibly thorough and clear explanations

Calm and relaxing presentation, I like the instructor's tone and articulation. Very knowledgeable and passionate, and very well-thought-out course. Highly recommend.

Deserves more than only 5 stars.

I learned most of the mathematics i know through self study. Inevitably, there were some odd gaps in my knowledge so i’m using professor Wehlou’s courses to fix these gaps. These are perfect for me and i really like her teaching style (mix of rigor and intuition). It’s like a walk through a familiar neighborhood except you get to see all the nice places and stories you missed! I will recommend these to my niece when she’s old enough for pre-calculus!

The explanation is so clear and easy to understand. I can study without stress and incompetent.

Explanations are detailed and thorough. Also, many interesting side topics that are not always covered in other courses (like sieve of Eratosthenes). Thank you.

I have again started revisiting my maths concept through this course. This is by far the best maths teacher I have found. I wished I had the same teacher in my high school and Engineering.

It's Looking an amazing journey after watching introduction... Hope so it will be...

Difficult for me but I like a challenge!

nicely explained

Loving the class thus far! Thank you!

Clear explanations. Good examples to illustrate concepts.

Great pace and explanations

Impressive

I haven't found any other teacher who is able to explain math in such an easy way

Definitely the best course on math out there! I took it to brush up my math knowledge because i want to go deeper into Algorithms, but then i came to learn so many new things in a deep and systematic way. The course is very well-organized, starting from fundamentals and building up to sometimes very advanced concepts that are explained in an excellent way, even giving future applications for many such concepts. The part i enjoyed the most are the proofs (a lot of them), something you hardly see in Universities anymore, especially in American system where we solve exercises like robots. Thanks Hania, you have done a superb job. Time to move to the next course 🙂

Very comprehensive lesson, thankk you!

You have a very nice voice and seem like a very approachable professor which I can learn well from!

The very BEST math course in Udemy!!
- If you want some quick reference-like math course, seek other courses.
- If you want to learn some serious math, take this one.

Thorough and pleasant

amazing match for me. have been looking for a Couse that will explain my deepest questions about math and it seems like I've finally found the one. if you are a math lover this is perfect!

I enjoy the pleasant presentations with plenty of lessons to absorb the material and see examples. I like how Dr. Hania tells us not to worry when we don't fully understand something because it will be explained more later. She just wants us to start getting familiar with it. It is a very thorough way to learn.

Prof speaks with precision while maintaining accessibility.

Great course and well presented

Just what I was looking for. I originally purchased her Calculus I course, but realizing the approach she takes is proof-based, I decided to start from the basics so that my foundational knowledge is strong. This is because I wish to take advanced mathematics. This course provides axioms and proofs which allow math to become intuitive for you. The rote memorization I learned in high school is not sufficient enough, I want to KNOW how what we were taught works. I need the theory, and she delivers. This is how it should be learned. Pure gold.

Absolutely a great match so far. The Professor explains these concepts very well. I am looking forward to learning so much more.

I am enjoying this course, the teacher is explaining clearly.

The review after first time to complete this course:
No matter how great the teacher or textbook is, studying math is actually difficult, and not having someone to help you solve these difficulties is a very big difficulty for those who study alone. I was lazy during my school days and was a math give-up who couldn't keep up with math classes at school. But suddenly I wanted to study math. Due to circumstances, I had no choice but to study on my own, so I purchased appropriate textbooks and started studying from the basics, but even this was a difficult time for me. Then, by chance, I found this teacher and purchased and listened to this lecture. It was beyond my imagination. Her explanation method is an appropriate balance of intuition and logic, making it not boring, and even fun. Moreover, She sincerely answered each and every question that might have been bothersome, completely eradicating the disadvantages of self-studying. This teacher is my math lifesaver. thank you
------------------------------------------------------------------------
The review after second time to complete this course:
first time i didn't absorb to this course fully. when something just make sense i just passed it. at that time, i didn't notetaking at all and i watched this course with 2x speed. But in the second watching I watchi this course from the beggining with normal speed, i did notetaking all the things in this course and i always tried to think intuitevly as to why all the things work and how they can work. This course is really good for making foundation that can make you available to think deeper to a problem that you are tackling. This is course is really well organized. i can feel her effort to make this course complete as much as possible. more and more absorb to this course you can feel more and more fun and good feeling about math.
The more you chew on this process, the more delicious it becomes.

Brillant

This course saddens me in that I wish I had had such a wonderful teacher when I was in school 35 years ago. Great teachers like Hania are an international treasure!

Very good introduction for the future topics

Great teacher

Well-structured and organized course! Goes beyond the basics of precalculus, including a good deal of "discrete math" and "math fundamentals". Greatly recommended to supplement university classes or to understand how pure mathematicians think (if you come from the applied math side but want to start a deeper dive into pure math). My only minor critique is that section 11, specifically the introduction to proofs, could be organized in a more structured way (comparing and contrasting the different proof methods).

amazing...

I like the instructor's approach as she teaches the theory behind the math so you can understand the what and why as opposed to just mindlessly generating an answer.

amazing !

professor has been amazing so far, very patient & well articulated

So far what I've seen is great explanations
I will recommend this course to everyone

This course is extremely detailed and clear, explaining everything from the ground up and also showing the future applications of the presended concepts. It is fascinating, how the single steps lead from first insights to more complex concepts, making me curious to learn more.
A large number of exercises are all fully solved and explained, so I never felt lost.

Every course by her is amazing.

Just perfect course

J'ai choisi ce cours pour la pédagogie d'Hania. J'apprécie vraiment et j'espère aller loin en sa compagnie. Le rythme me convient particulièrement et les explications sont claires et données de façon apaisantes. Cela me rassure beaucoup. Pour peu que les mathématiques aient été une pierre d'achoppement dans votre jeunesse, ce cours est ce qu'il vous faut pour vous remettre correctement sur les rails sans stress. Pour les francophones qui hésiteraient à choisir ce cours parce qu'il est en anglais, Hania parle très calmement et dans un anglais que tout le monde est à même de comprendre. C'est même une occasion de s'améliorer en douceur à ce niveau.Machine translation: I chose this course because of Hania's teaching style. I really appreciate it, and I hope to go far with her. The pace suits me perfectly, and her explanations are clear and delivered in a calming manner. That really puts my mind at ease. If math was a stumbling block for you when you were younger, this course is exactly what you need to get back on track without any stress. For French speakers who might hesitate to take this course because it’s in English, Hania speaks very calmly and in English that everyone can understand. It’s even a chance to gently improve your English skills.

explica los temas a fondo y claramente.Machine translation: explains the topics thoroughly and clearly.

The professor completely engages on the basis of the "beauty of mathmetatics" based on elucidation of basics; it is a joy to watch these videos and deepen my understanding.

After previewing a few courses and taking free courses with the instructor, I was sold and decided to purchase all the available courses by the instructor. Very informative and clearly explained lessons. Hope to have more courses from the same instructor in the future.

very clear explanation, good resources and the definitions hint at higher mathematical concepts without being at the level of a "Higher Math" course. The result is what you learn is more knitted together instead of just a bunch of topics floating free of each other.

The instructor is very helpful and patient in explaining the concepts. thank you

So far so good. Clear speach, not too fast

Excellent course

O primeiro mundo é outro nível.Machine translation: The First World is on a whole other level.

I am following precalculus course atm and I really like that Hania explains every possible detail. Every time I get a question she answers it in the next video 😀 Also the fact that she explains everything in a slow and thorough fashion just fits me better since I need time to understand math. On top of that she answers questions really quickly so I feel very safe in my learning. <3
Thank you Hania! From now on I am gonna have all calculus courses as well while having calculus in university 🙂

The instructor has a very unique and through approach. She doesn't leave anything to chance. The course can be a bit long, but everything is covered in a detailed manner.

So far so good. The course is filling in gaps in my math knowledge.

I like the upcoming content and the instructors tone and speed

I'm an adult learner. The pace and explanations are good. It is excellent that I can replay the parts I have difficulty with over and over until I understand the concepts presented.

This is the best way of learning mathematics 🙂

Amazing course that does not only teach you how to produce a result but gives you as thorough of an understanding of basic mathematics that is possible within the time frame. Its well worth your time if you are serious about learning mathematics and im confident that it will save you a lot of time and frustration in the future when you learn increasingly advanced topics. All of Hanias courses are great and I cant recommend them strongly enough

excellent.

This is a great course! Her ability to dive deep into the theory, provide examples, and have an extremely clear plan is something I wish all math instructors were able to do as seamlessly as her.

The clarity of the instructor's explanation and rigorous detail in this course is incredible. I was looking for suitable mathematics courses for my sons to help them through high school and university and I just can't stop watching the videos for my own viewing pleasure. I wish I could go back to my university days where mathematics was, for me, to be endured rather than enjoyed. Quite the opposite in turns out if you have a great teacher.

So fantastic!

Author’s credentials and work history show that she has been thoroughly vetted by experts in the field. She has extensive teaching experience and has been awarded teaching awards. From my experience, her content, course planning, and explanations are at the level expected of someone of her experience. She delivers a superior product, resulting in higher value per dollar for Udemy users.

Dr. Uscka-Wehlou is one of the best professors I've ever come across! She's very thorough and never leaves out a step. I'm so lucky to have come across Hania's videos because I would have been lost without her! I definitely recommend purchasing all her courses because you will not be disappointed!

For the way of translation I give without hesitation 5! 🙂

Very thorough

Just what you need if you are looking to build your skills to the university level or simply need a refresher in the foundations of the calculus.

Course not only teaches math 🤗. it unravels math. I am having so much fun.
I wish I had taken the course earlier in my career. now I am fascinated about theoretical mathematics. If at all there is a course in future. count me in.
Thank you professor Hania Uscka-Wehlou for the course.

This course removes the frustration from learning math.

The instructor can very easily narrate the content in clear, concise and easy to digest sections.

She introduces a topic, explains what it is, why (with very good examples), and moves on to the next before it gets dense and boring.

So far it's been all learning and zero frustration. It will require going back and doing more exercises, but the pieces are provided in sizes that you can manage and put together, which is where most math courses fall short (either go on and on about something or you don't understand the role of the topic in the bigger picture)

I suggest you give this course a chance.

Looking forward to taking all the courses by her.

The course is great! All the concepts are explained thoroughly, both with a theoretical presentation and a step-by-step resolution of the problems. Nothing is given as obvious and each piece of information is motivated. Moreover, Hania always answers quickly and in-depth all the questions! Highly recommended!

She uses a perfect combination of thourough theory, and practical examples. This makes this course great for people who want to learn the deeper theory behind things, and also people who want to solve practical math porblems!

I love all the materials and the instructor is clearly driven to make the material approachable and understandable.

Incredible content, fantastic teaching style... touches on so much in mathematics that was missed in my education from high school through college. 100% recommend for anybody who has always had a passion for math but couldn't quite fill in the gaps. This course fills in ALL the gaps.

The best math course out there, even compared to university. Can't wait for Calculus 1 and 2 to come out.

If someone is frustrated, bitter, and angry with the subject of mathematics, this course could be the best way to make peace with it, due to its simplicity but high status, presentation, and resources (more useful than the best math book).

Excellent!

This course is more than a pre-calculus course. It's pre discrete math, pre metric-spaces, maybe a little bit of pre topology and pre abstract- algebra. In summary, it is a pre-serious math course.

Hania is the only instructor that I know in this platform, who presents mathematics in the most accurate and understandable way. One need to explain the math as it is. If you try to simplify it out of fear that students won't understand, the fun will be lost. Hania does this exactly as it should be done.

Thank you Hania, and thank you Martin; for all "power of 2" courses you made.

Simply perfect!

The quality of this course is outstanding. Totally worth it. Thank you.

This has to be the best explanation of mathematics I have ever seen

This course is incredible well structured, well explained, thorough and puts everything into a greater context. I learnt a lot and have really enjoyed working through the topis. The many solved problems enrich the theory and help to deepen the understanding. I absolutely recommend this course.

Hello Professor I am so impressed with the quality of content in this course, I just started and I am very interested in looking for a good base for Calculus

This course is intense though but absolutely worth it.

All of math.

It is a dream come true for me to study math well. I come back to it later in life. As a researcher in Life Sciences, I did not get a solid foundation in Math, and I always missed that. I am so excited about this Precalculus course. It is clear, deep and thorough, and will be a great way to get back to Math and build that foundation. I want to follow and take all the Math courses Hania Uscka-Wehlou is producing. Thank you for this teaching!

Prof. Uscka-Wehlou's courses are a gift for anyone who wants or needs to learn mathematics. If only there were more teachers as gifted and patient as she is, math would become one of the most beloved subjects of all. I cannot praise the courses enough.

Excellent work! Thank you for your time and detail!

I love the event of finding her courses. I mean, there are several courses on the same topic and I stumble across the best lecturer in the world. What in the name of probability is that??? I am so happy and even more glad b/c the teacher is a she. All my life I've had men teaching me maths, not that there was anything wrong with them but the general proportion between men and women in a math class is so off. Representation truly matters. Also, her presence is very calm. Her speech is captivating and your eyes don't go anywhere else in the frame.

Important details

Enjoying as far as it goes

Absolutely fantastic in the detail

Mam you have such a cute voice!

Mind opening without going down abstract rabbit holes! Worth of every effort to grasping every word!

If you want to have a very strong base to deal with Calculus , this course is more than recommended.

I've tried taking precalculus at a city college in the past and the material felt rushed, not well explained, and thus too difficult. This course appears to be the complete opposite and I am very excited to work through it and finally begin my journey into advanced maths. Thank you.

I feel very lucky to have come across this course series today. I'm looking forward to the Calculus series.

The best math teacher!

The best course you can get!

She's incredible at explaining and has given me a well needed review of my knowledge

Fantastic course! Easily exceeded my expectation and I had so much joy and fulfillment going through the course. This is a definite recommendation and you will get more than your money worth. Thank you very much professor.
I bought all her other math courses and I await eagerly the rest of the yet-to-be-published courses especially "Precalculus 4: Exponentials and Logarithms"

Yes it is very useful for me. I have studied some maths before. It helps with topics I am rusty in or have forgotten.
I look forward very much to completing the course. Thanks

Hania is very rigorous, very pegadogical, and i am very happy to go from the fundamental mathematical basis to advanced concepts, with the great help of Hania. Thanks for your lessons. I begin to learn mathematics and make progress thanks to you. Greetings from France.

I am enjoying the course greatly. The material is very clearly presented with lots of worked examples. An excellent teacher

fue una buena eleccion, con el paso del tiempo y con interaccion con el curso podria reconsiderar calificar a 5 estrellasMachine translation: It was a good choice; as time goes on and I interact more with the course, I might reconsider giving it a 5-star rating.

Formatrice excellente : Hania prend le temps d'expliquer chaque notion de façon détaillée. Même si, comme moi, votre anglais n'est pas parfait, elle parle lentement et clairement si bien que vous comprenez tout ce qu'elle dit. Le seul reproche qu'on pourrait lui faire, c'est que les vidéos sont longues (au-delà de 10 minutes !!!) : il suffit alors de régler la vitesse de lecture sur 1.25, voire 1.5.Machine translation: An excellent instructor: Hania takes the time to explain each concept in detail. Even if, like me, your English isn't perfect, she speaks slowly and clearly so that you understand everything she says. The only criticism one could have is that the videos are long (over 10 minutes!!!): all you have to do is set the playback speed to 1.25 or even 1.5.

Great match...it's like having the instructor personally at your elbow

Still in the beginning sections, but the explanations of the basic materials is still very thorough.

To the point and simple and plain.

Amazing course, incredibly detailed and you can tell she put a lot of time and effort into making all of this and explains things thoroughly too which a lot of other courses on UDemy seem to be lacking. Would highly recommend and thank you very much for creating this <3

Thank you!! Thank you so much for your course!!
Your courses help us to have a better understanding on Mathematics.
Thank you so much!!

Very impressive. This is a university course at the fraction of the cost. If more professors followed her footsteps, the standard model for education would have real competition.

Really competent woman with a great way to show mathematical basics in a simple way I never had in my school time. You start to understand math more clearly and depth. Would recommend it for anyone who wants to refresh their mathematical knowledge.

Hania’s precalculus 1 is an excellent course, patience will be needed. But the gain of patience is going to be a solid math basis. That’ll help to make a small but important step toward calculus.

Wonderful teacher. It is like having your own private tutor.

This course not only served as a great review on important concepts, but also taught me some new ways to understand them. I also really appreciate how visualisation was used whenever possible to illustrate more abstract notions.

Excelente profesora. Sus explicaciones me resultan muy fáciles de entender. Además utiliza iPad, que yo creo que es indispensable en este tipo de presentaciones. Una gran profesora que explica todo lo que se debe saber para poder continuar, con altísimo rigor en los contenidos. Muy didáctica y muy recomendable.Machine translation: An excellent teacher. I find her explanations very easy to understand. She also uses an iPad, which I think is essential for this type of presentation. A great teacher who explains everything you need to know to move forward, with the utmost rigor in her content. Very effective at teaching and highly recommended.

This course fills in the blanks that were not covered at my high school. It is a VERY comprehensive course with in-depth detail.

Unbelievably good, as per usual.

YOU'RE THE BEST ! I haven't had an Instructor like you so detailed, knowledgeable with lots of follow though in her work !

I really like this course, and I would highly recommend it to anyone. I am an adult learner who wishes to review some of the mathematics I encountered way back at school. I also want to understand it a bit more deeply this time around as, in my experience at least, the most that was on offer in most subjects back then were somewhat superficial 'guided tours' of them, especially mathematics. The teaching pace fits with my own personal preferences, as I don't like it when educators talk really quickly, and the teacher for this course speaks in a fairly slow and relaxed manner. The content is also presented at a rate I'm comfortable with, and I think it would be acceptable to a lot of people. I also think it shows that the teacher is an academic with many years of learning and teaching behind her, and thus one feels there is less risk of getting lead astray due to being taught by someone who does not have a deep understanding of their subject. The teacher has also clearly spent a lot of time thinking about how to present this course. Enjoy!

First of all, I would like to thank Professor Hania for the hard work she put into the production of these lectures and I wish all the best for her in the future.

For those thinking about taking this course, I'd say go ahead without thinking. This course is for students who want to refresh their prior knowledge or even gain new knowledge in the field of mathematics. This course not only highlights the prerequisites of calculus but also prepares anyone who takes it for further mathematics. In my opinion, one of the best parts in this course is the addition of discrete mathematics, logic, and proofs. This makes the course stand out and these topics are essential for your understanding of advanced mathematics in general. Some other lecturers (no one in specific) might only teach you the prerequisites without the topics I mentioned. Professor Hania is highly qualified she has a Ph.D in mathematics and you can check out her website by copying this link (http://www.wehlou.com/hania/cv.htm) she is known for explaining complex concepts in mathematics easily and even won a pedagogical award in her previous university (https://m.facebook.com/KSektionen/photos/ks-pedagogiska-pris-2018-gick-till-hania-uscka-wehlou-idag-fick-hon-ett-stort-ta/1937759259611607/). I'm not saying this as some kind of propaganda, but I've seen this with my own eyes. Professor Hania is one of those teachers that is passionate about the subject she teaches which makes it easier for the student to understand the concept. Another great thing about Professor Hania is her organization and execution of the lectures, she methodically organizes the topics and illustrates the concepts in a simple but beautiful way. She also recalls previous concepts from prior lectures and applies them to future ones. I won't forget to mention that whenever you ask a question about something in the lecture she replies in a matter of minutes and also replies very explicitly to your question and makes sure that you've understood it, and also never hesitate to DM her on udemy she will reply openly and will support you in your studies. Finally, I would like to say that I've gained a lot of knowledge from this course and I'm sure you will too if you really focus and make good use of the lectures.

The best Math Teacher in the game.

Hania's very careful and consistent choice of words she uses to get her points across gives little room for words to lead you astray.

The course is very comprehensive. The instructor, very encouraging.

Another great course. I took this course to better prepare for an online exam I had to take at my university.
Thanks to Hania's help and clear explanations on the topic of "relations" I managed to get a much decent grade 🙂

Hania takes the magic out of math by breaking down the concepts to show a behind the scenes so you actually understand math's. Although I passed math through Calculus I was missing an understanding that comes from knowing these concepts. This course has been bridging those gaps I can't wait for the release of the oncoming courses.

I like the professor's explanations.

I still have to start the course, but I expect it to be great.

Wonderful explanation of intricate mathematics in a simple way.
The explanation starting from various symbols to Epsilon/Delta is amazing.
Anxiously looking forward to more courses from her.

This is a good review of everything you need to proceed in mathematics. Some things are covered in greater depth than expected and yield unexpected insights along the way!

Very thorough. Makes me excited to study the mathematical material.

Excellent!

This course is excellent. It contains worked examples but it also explains/shows how it works. It is both accessible and yet very detailed. The lecturer is very clear (and calming). I only wish this course was available 20 years ago. Thank you very much professor Hania, really looking forward to your next pre Cal course!

I am really impressed with the quality of the classes, the teacher has an incredible ability to explain difficult topics in a clear and enjoyable way. She not only limits herself to explaining the procedure to solve problems mechanically, but she also explains why things happen, what is the reasoning and the mathematical foundation behind each topic. Best math class I've ever taken, amazing.

Expressive and understandable

Very methodical

A brilliant introduction.

Excellent

Well planned and well produced videos

Great Course! This was a refresher course for me. Lectures are clear, organize, well explained, and supported by multiple examples. For those of you who needs Cal1 and Cal2; if she creates those two courses courses, consider taking them. She has Cal3 and LA and they are really good!!

I am quite happy with the course. It revives a lot of topics to which I did not pay a lot of attention to so far. I am eager to enroll for the remaining 3 courses on precalculus. Thank you very much indeed Hania!

The introduction is good so far, sets out an interesting path for the course.

Excellent course, containing many topics needed for university mathematics. I like it that the course discusses binary relations, and various types of proofs.

Great explanations! Very clear and thorough! Presence of discrete mathematics makes this course even more valuable. I also like the clear connection between the regular school maths and the axiomatic theory of real numbers.

Amazing!

Finally a course that helps me to visualize and understand the math algorithms and procedures. Huge difference between most of the math courses that only teachs you the procedures without explaining what you are doing and why you are doing that!

This is a detailed exposition of the many basic things that have the habit of falling between the curricula of the school and those of the university. The course can readily be taken by interested school students as well as by the university students in need of grounding what they in principle should know, though perhaps do not in practice. Insufficient mathematical foundations are an old problem at university, and Hania's present course – comprehensive and immediately rewarding – addresses that problem exquisitely.

The bottom blocks in a pyramid are removed at the peril of the top, and the educational establishment has zealously been doing just that. The crying gap between the school graduate and mathematical analysis at university was first masked with something called calculus, and then, the gap always growing, with an additional repair putty by the apt name of pre-calculus, to be quietly injected between the devalued academia and the ruins of the common school. Had it not been for the able and enthusiastic colleagues, like Hania, masters at educational restoration, the neglected structure would have long collapsed. Indeed, Hania not only restores the foundations, but improves them, giving the traditional material a very much needed face-lift. Excelling university teachers seldom touch school mathematics, but when they do, the students get to see that a strangled school subject can in fact be hiding a door to wonderland.

Dokładność wykładu.Machine translation: Accuracy of the lecture.

Great course, so many important topics covered in such a clear and in-depth way. Each section begins by first covering the basics and provides context and motivation for the material covered in the section. The lecturer makes sure to explain each new concept in a comprehensive and easy to follow way, as well as works step-by-step through illustrative problems that help the student understand the material better. Highly recommend this course.

Incredibly rich content. As a retired math teacher I really appreciate Hania's way of teaching and the organisation of the course. Highly recommended!
Edit: I have just finished the last part (4) of the series, and I am very impressed with the curriculum and the teaching. Hania's Precalculus series gives everybody a perfect preparation for Calculus and Real Analysis!
You get an introduction to Precalculus in the beginning of Calculus 1, too. This is my 6th course by Hania and Martin that I've completed and I can recommend all of them.

Amazing course with well-thought-out and in-depth explanations of many mathematical topics. I can't wait for the next course!