MATH 3315

This class is exactly like its predecessor (2315), so read those reviews for a more in-depth look at what this sequence involves. Also, DO NOT jump into this without having taken the first course. With that out of the way, this class finishes the content from Elementary Linear Algebra (3351) that you began last semester, makes it through much of the content from Advanced Linear Algebra (4651), and completes Ordinary Differential Equations (3255). It is exactly the same as its precursor, and it is just as great. Honestly, this semester really puts into perspective just how much you have learned and why the content that you have learned is useful, so it is truly enlightening. If you took 2315, are planning on taking this class, and have not yet become friends with Koberda, please do so immediately. Ask him anything about academia, his life, or some random topic—he definitely has something interesting to say. Finally, I encourage you not to think that everyone who takes this course is a masochist—we are honestly normal people. If you made it through the first semester, you will know what I mean. Oh, there is also one more thing: if you are entering this course and haven't done so already, take a look at getting "Linear Algebra Done Right," by Sheldon Axler (there is a problem-less version for free on his website), and bookmark some of the free lecture notes and textbooks from this page https://realnotcomplex.com/algebra/linear-algebra. Good luck.

(This course follows MATH 2315; definitely be wary taking it if you haven't taken that class). This series was easily the hardest set of classes I've ever taken and will ever take, but is also easily the most rewarding class I think I will ever take. You'd be hard-pressed to find a professor as kind and humble that is this mind-blowingly intelligent and interesting (seriously, ask him a question about anything math-related or otherwise and your life will be changed). This class turned me into a math major, even though I never thought that would be something in my future. This class is an even better example than 2315 about how much you can really learn in a short period of time; we covered advanced linear algebra, all of the material in an intro ODE course, and then additional topics to top it off, all in one semester even with going online and losing a week of class. Again, don't worry about your grade; as long as you improve and show that you care about the class by diligently showing up to class and office hours and doing the problem sets, you'll be fine. Prof. Koberda is the GOAT and literally only cares that you soak up as much information as you can. Work in groups with classmates on the problem sets, utilize your TA and office hours, and have a fantastic semester with the best math professor at this university and probably the most precious person on this Earth.

This class is a continuation of Math 2315, so look at those reviews. Basically, it's the best class I have ever taken, and easily the hardest. It will probably be the hardest class you'll take for a while, but it's totally worth it. Professor Koberda is the best instructor I've ever had, and he's super cool. He's extremely humble, so he'll never admit it, but he's a very impressive person. Highly recommend going to office hours, use the TA, work in groups, and read outside of the course. The course has no textbook, but you can download free Linear Algebra textbooks from Springer. Same with ODE. You should definitely do that. If you can get your hands on a copy of Linear Algebra Done Right (I found it for free on the Springer website) definitely use it as a resource, Professor Koberda likes that book and it follows the course really well.

Where do I begin? This course is easily one of the hardest courses I've taken. BUT. This is course is immensely rewarding. Professor Koberda is incredibly smart and kind, and he (along with the greatest TA ever, Alec Traaseth) made this course fun and mind-blowing. I have never learned so much in such a short period of time. This class made my other classes seem trivial. Yet I never feared for my grade because Professor Koberda made it clear that he prioritized our learning above everything. Looking back, I learned all of my other introductory math courses in 3 weeks in this course. I don't feel like I missed a thing. I highly recommend getting together a group with your classmates and working on the homework sets--you will find solace in mutual suffering. But be advised--you will have a lot of fun learning, especially from such a legendary professor. I mean seriously, look this guy up. He's the GOAT. Koberda makes me want to get a PhD in math just because of this class. Who else can manage that?!!?