# My Math Courses

Here is a list of all the math courses I've taken in university and the most important thing I learned from each of them!

## First Year, 2015-2016

### Analysis I (MAT157)

*Wow, there is so much more math to learn than I could have ever imagined.*
### Algebra I (MAT240)

*Good definitions can make hard things much easier.*
### Algebra II (MAT247)

*You can't always make a matrix look perfect, but you can always make it look pretty nice.*

## Second Year, 2016-2017

### Analysis II (MAT257)

*Not only do all the theorems from calculus generalize to manifolds, but they can be stated so nicely!*
### Advanced Ordinary Differential Equations (MAT267)

*Sometimes I do have to memorize a few things, even in math.*
### Groups, Rings, and Fields (MAT347)

*Simply-defined things can end up being incredibly complicated.*
### Introduction to Topology (MAT327)

*The difference between square brackets and circular brackets matters more than I could have ever predicted.*

## Third Year, 2017-2018

### Complex Analysis I (MAT354)

*Every so often, you can solve a problem by passing into an ethereal realm and bringing something back with you to show for it.*
### Introduction to Real Analysis (MAT357)

*Even if a function isn't very nice, sometimes things will be alright because it's close enough to one that is.*
### Computability and Logic (CSC438)

*Peano arithmetic might not be consistent, but I can learn to live with this fact.*
### Graduate Algebra I (MAT1100)

*Back in linear algebra, I wish I were more thankful for the fact that we were working over a field.*
### Graduate Algebra II (MAT1101)

*Mere exposure to a topic can go a long way toward building understanding.*
### Graduate Topology I (MAT1300)

*Everything can be further generalized - even the definitions.*
### Graduate Topology II (MAT1301)

*Just reversing some arrows can make things different in a way I wouldn't have expected.*
### Seminar in Number Theory (MAT477)

*Math papers are often hard to read, but also often aren't impossible.*
### Reading Course in Number Theory & Modular Forms (MAT395)

*The connection between geometry and number theory can be fascinating.*
### Reading Course in Algebraic Geometry (MAT496)

*Category theory isn't so scary, and often it's a big help.*