Linear Algebra and Geometry 3 (Udemy.com)

All of Hania's Linear Algebra courses have been excellent. I completed my engineering education years ago without taking any courses specifically in linear algebra. During that time I learned what I needed to know to solve the problems at hand, which gave me some knowledge but I was lacking in deeper theoretical understanding. These courses have been very interesting for me and gave insight into what all the calculations are actually doing and *why* they are done the way that they are.

The course offers very interesting lectures, detailed and well-organised. Mathematics is partly theory (philosophy) and partly "mechanics" of calculation. Without the mechanics of calculation, it remains abstract; without the theoretical part, understanding is lacking. That is why it is very important to exercise. Practice allows theory to become a technical skill and mechanics to acquire meaning. Better if listened to with voice speed regulated x1.25 or x1.5. Note: Section 2, Video 9 time 17.06 .. the automatic VTT .. " ... So then I will simply get back my vector by Arthur. " Do not trust the text.

If you've already taken any of Hania's courses, then this will be beating a dead horse because you already know you can expect high quality. Linear Algebra and Geometry 3 resumes right where part 2 leaves off, further building your intuition surrounding matrix diagonalization and eigenvectors. She touches on several useful auxiliary topics including an introduction to some abstract algebra concepts, solving systems of ODEs, difference equations, and more. As in my reviews for parts 1 and 2, I can't recommend this course enough.

There many pros in this course many examples and lot of formal proofs. Graphical material is provided to clarifies the concepts in the course. The only con is that is a bit large. That is not a problem if you take the time to watch the videos. There are a lot of interplay between computations and theory. A great course. I want to make a suggestion, I wonder how plausible will be a series of Advance Linear Algebra. That is all, I know Hania has yet her schedule of courses so my suggestion is for the long run. Thanks

Words can't justify how good this course is , so lets try a different way Theorem: The course taken yields an excellent experience. Proof: Let C denote the course taken. Suppose C encompasses a comprehensive set of topics denoted by T. Let E be the experience gained from C. We assert that E is excellent, i.e., =Excellent E=Excellent. By the completeness property of C, all essential concepts and methodologies are covered. Furthermore, the pedagogical approach employed in C fosters deep understanding and retention of knowledge. Therefore, by definition, the course taken ( C) provides an excellent experience ( = Excellent E=Excellent)

Completed course linear algebra course 2 and gained very useful information. She needs to make a course 4. And she needs to obtain an applied course in linear algebra. Covered some topics in the third course that have no geometric interpretation.

Excelente presentación y didáctica

Best courses I took about the linear algebra (including the ones I took at the school). Anyone interested in topics should definitely enroll these courses (the Linear Algebra series by Prof Hania). As an engineering student these lectures made me interested even in the more theoretical parts. I'll definitely learn more about linear algebra, since these courses gave me great foundations. The instructor is very knowledgeable and polite (gives great feedback even to my most stupid questions :) ). I thank both instructors for their great effort on these courses, and look forward to their next courses!

The present is a logical continuation of two earlier courses by Hania, and it is presented in the same spirit – extremely carefully and in detail. It bridges elementary linear algebra with its most standard mathematical applications, motivating the students to further study both. Noteworthy here are applications under the heading of singular value decomposition, basic for what may be called linear data analysis, key to engineering and statistical computations. A warmly recommended course, for prospective data analysts not least.

This extends Hania's courses one and two with the same title, and it should be the most useful in terms of applications. It also is the hardest to present, if to follow the explicit style of the predecessors. Some abstraction is inevitable, handled carefully enough, but time is mostly spent explaining ideas and examining examples. The lectures are as easy to follow as any lectures could be, perhaps deceptively so, for some ideas are subtle. The students willing to listen and spend some time with the problems will be richly rewarded.