Please do yourself a favor and don't take this class with this professor! I did terribly on his midterms because they required, in my opinion, unreasonable amounts of computation given the time frame. The average was high though, so I guess not everyone agreed with me.
I'm a math major (not a very good one, I must admit) and I found he made everything sound far harder than it really was. He was unpleasant, his handwriting was not very good and he was anything but engaging. Definitely the worst professor I've had.
For perspective, in Winter 2017, I took 115A – the upper-div version of 33A – with a fairly hard but reasonably so professor, and I pulled a B. So yeah, just don't take this professor, no matter what.

This is arguably the easiest class I have taken at UCLA, and certainly the easiest math class. The format, which uses weekly quizzes and optional homework in place of mandatory homework, makes it so that you can do just as much work as you need to to understand the concepts in the class. The quizzes are very easy if you understand the material relatively well and do at least some of the homework problems. The midterms are much the same, as they are pretty much just a few quiz questions put together. The final was slightly harder due to having some more conceptually difficult questions, but was still very easy for a final. The only issues I had with the class were that Gallauer was a very bad lecturer and the grading scheme was unforgiving. You must do well on the final or you will not do well in the class, as it is 60% of your grade. However, this isn't too big of a deal since the final is not too hard. Plus, him being a bad lecturer combined with the ease of the class made it easy to skip class all the time, which was nice.

I'm sure he's a nice guy, but he's an awful professor. First, his communication skills are really poor. He can't speak loudly for his life, and his handwriting is utterly terrible. He doesn't really use any actual examples for concepts, and instead teaches in a more abstract manner. This might work well for some people, but it didn't for me. The weekly quizzes, while not hard, were also always a week behind the material being taught in class. The T.A. I had was good though.

One criticism that is unrelated to the professor: the book is pretty terrible. The explanations are unclear, and the methods the book uses to solve problems are not the ones taught in class, and apparently are not used anywhere other than this specific textbook.

Overall, if you're good at teaching yourself math, you should be able to make it through this course relatively unscathed . If you're not, tough luck.

He is not as bad of a professor as the previous few reviewers make him out to be. If you have trouble hearing him or reading his notes, sit closer to the front of the class; it's a simple fix. He makes it very clear what is expected on his exams, none of which are particularly difficult. Yes, the in class quizzes can be tedious and short on time, but they are worth as little as 10% of your final grade, and 2 out of 7 quiz scores were ultimately dropped.

Yeah, he's probably not gonna be your favorite professor but I found him to be an effective teacher and would recommend him.

What is wrong with ucla hiring department, he is not qualified at all not even close in every regard to a decent tutor. His lectures were extremely confusing. He did a terrific job in explaining a simple and straightforward concept in the hardest and most twisted way possible.

Don't have him, don't, don't.

He's really not great at teaching. 33A is a really computational class, and you can tell that Gallauer is bored by all of it when he teaches. He just writes down "recipes" in mathematical jargon, and does oversimplified examples to reinforce them. Luckily I had a good TA, and I definitely learned the bulk of the material through discussion.

The textbook is entirely useless so don't bother. Homework problems are not collected, and the textbook contains many errors in addition to offering poor explanations.

He does weekly quizzes during lecture which accomplish not much other than draining time and making students groan at tedious computation. His exams are not terrible, and throughout the quarter my mistakes came from arithmetic errors instead of actual course concepts. The final was harder than the midterm, and unfortunately it constitutes 60-70% of your grade in the class. I did pretty well on the midterms and was confident after taking the final, but it turned out that adding some numbers up incorrectly on the final brought down my grade to a B+, which is somewhat infuriating.

If you do end up with him it's not the end of the world but it's kind of close to it.

Awful professor, awful class. His lectures essentially detract from the textbook and he speaks so monotonously and quietly that it's difficult to understand him even with a microphone. Moreover, his tests are extremely tedious and he does not allow you to use calculators, meaning that you have to do hundreds of arithmetic calculations with any small error costing you the question. The class is called Linear Algebra *with Applications*, but it was the most dry and abstract math course I've taken here thus far. And Prof. Gallauer makes no efforts to relate the course material to anything useful, reducing the course to rote memorization of tedious algorithms. Would highly advise against taking this professor (and this course if you can help it) at all costs.

Please don't take him. He talks too softly and unclearly in class. It's hard to recognize what he says, and moreover, his handwriting is really bad. It might be better to read the textbook at home. Unfortunately, his tests were tough.

HE IS A CUTIEEEEEEEE
Martin is a great professor and his tests are fair! Don't listen to the negative reviews, they probably weren't too bothered to go study the material.

Of all the math courses I've taken at UCLA so far, this was the worst one, all thanks to professor Gallauer. Others nailed everything about his lectures: boring, quiet, not engaging, give nothing outside of the book, you have no idea what's half of them are about and they're simply are a waste of time. You really are pretty much on your own with the book as your best guide. Thanks to professor Gallauer, this course consumed an enormous amount of time because lectures gave nothing and every topic had to be started from scratch afterwards using the book.
The thing that annoyed me the most though is the fact that he gave the latest topics on both midterms, and what's worse, made the problems based on those topics have the most points. Who does that? How about you let us process the material properly first, and only then test us on it? To sum up, if you want to have a good 33A experience and actually learn it the proper way, avoid taking this guy at all costs. You will seriously regret your decision if you still choose to take him.