UofT MAT401 Summer 2018 Final Exam Solutions Take Up

In this video, I go over the MAT401 final exam from Summer 2018 at the University of Toronto St. George Campus (UofT). When the course is instructed by Jonathan Korman is very straightforward for the most part; you can expect roughly 8 questions, 7 of which will be of easy to medium difficulty and 1 more difficult question. While there usually is an autofail policy built into the course (need to pass final exam to pass entire course), you will be completely fine as long as you go to lectures and thoroughly work through the assigned homework/problem set questions. As always, I recommend attempting the exam using the blank copy and referring to any solutions after if you are preparing for the final exam.
📄 Blank Test: drive.google.com/file/d/1Sca6...
📝 Written Solutions (my notes + video notes): drive.google.com/file/d/1oqVf... | drive.google.com/drive/u/0/fo...
📁 Folder of MAT401 Resources: drive.google.com/drive/u/0/fo...
🔗 Timestamps:
0:00 Introduction
0:31 Q1a) Maximal Ideal
5:16 Q1b) GCD
7:42 Q1c) Multiplicative Inverse
10:54 Q2a) Splitting Field
14:31 Q2b) Number of Elements
16:45 Q3 Algebraic Extension
26:06 Q4a) Divisibility
30:45 Q4b) Zeros
33:52 Q4c) Galois Field Subfield
37:48 Q5 Multiplicity
47:26 Q6a) Degree of Field Extension
53:42 Q6b) Galois Group
55:18 Q7a) Degree of Field Extension
57:33 Q7b) Real Roots
1:01:53 Q8a) Maximal Ideal
#MAT401 #math #abstractalgebra #galoistheory #algebra #uoft #universityoftoronto #fields #exam

[@ajmt5609]

...so this is like higher algebra? i know a bit of linear algebra(basics) but nothing from this video lol

[@SCBA-if4wl]

this is galois theory