Mr. X
Mr. X
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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/1Sca6o2W0HAwJNOjqps3o4IIFZthcl6Hw/view?usp=sharing
📝 Written Solutions (my notes + video notes): drive.google.com/file/d/1oqVfs9O12ut7jCv5FYESia3dPFJVHggt/view?usp=sharing | drive.google.com/drive/u/0/folders/1qJoDH027DV4Hc4oyjWPeUK4vA8CG8Nh_
📁 Folder of MAT401 Resources: drive.google.com/drive/u/0/folders/10SBLuk8wY4-lD9yyXHwne5sQcJ08LPuK
🔗 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
zhlédnutí: 1 890

Video

Resources for UofT MAT235, MAT301, and MAT401
zhlédnutí 117Před měsícem
In this video, I briefly go over the resources I've compiled for MAT235, MAT301, and MAT401 at the University of Toronto. Hopefully you find some of these useful, and of course feel free to reach out or comment if you have any specific questions! 📚 Google Drive Links: MAT235: drive.google.com/drive/folders/1fI62aIxF6i75d7O5kndzbkQqcLfXUU7M MAT301: drive.google.com/drive/u/0/folders/1_nM3sWQ0Blu...
Basics of Permutations and Array Notation
zhlédnutí 51Před 5 měsíci
In this video, I go over the basics of permutations in the context of group theory. I go over the array notation and how to compute the product of two permutations.
Basics of Permutations and Array Notation
zhlédnutí 52Před 5 měsíci
In this video, I go over the basics of permutations in the context of group theory. I go over the array notation and how to compute the product of two permutations.
MAT235 Practice Final Exam Solutions
zhlédnutí 992Před 10 měsíci
In this video I go over the practice final exam from 2022-2023 MAT235 at the University of Toronto St. George Campus (UofT). This practice final exam was very representative of the difficulty, style, and structure of the actual final exam, which was a pleasant surprise to say the least. If you are preparing for a final exam of your own (for MAT235 or any other math-related course), I highly rec...
UofT MAT235 2022-2023 Term Test 4 Solutions Take-Up
zhlédnutí 620Před rokem
In this video I go over the fourth term test from 2022-2023 MAT235 at the University of Toronto St. George Campus (UofT). I, like many others, performed much better on this term test due to the length being shorter and the difficulty of the questions being easier. As always, I've included PDFs of my written solutions as well as a blank copy of the term test in case you do want to attempt it bef...
UofT MAT235 2022-2023 Term Test 3 Solutions Take-Up
zhlédnutí 832Před rokem
UofT MAT235 2022-2023 Term Test 3 Solutions Take-Up
How to Convert a Single Differential Equation into a System of First-Order Differential Equations
zhlédnutí 600Před rokem
How to Convert a Single Differential Equation into a System of First-Order Differential Equations
More Difficult Multivariable Chain Rule Problem
zhlédnutí 53Před rokem
More Difficult Multivariable Chain Rule Problem
Chain Rule for Multivariable Calculus (Case 2)
zhlédnutí 123Před rokem
Chain Rule for Multivariable Calculus (Case 2)
Chain Rule for Multivariable Calculus (Case 1)
zhlédnutí 137Před rokem
Chain Rule for Multivariable Calculus (Case 1)
Determining Whether a Vector Field is Conservative and Finding a Potential Function
zhlédnutí 283Před rokem
Determining Whether a Vector Field is Conservative and Finding a Potential Function
UofT MAT235 2022-2023 Term Test 2 Solutions Take-Up
zhlédnutí 539Před rokem
UofT MAT235 2022-2023 Term Test 2 Solutions Take-Up
Derivative of f(x) = sqrt(x) using First Principles (square root of x)
zhlédnutí 517Před rokem
Derivative of f(x) = sqrt(x) using First Principles (square root of x)
Derivative of f(x) = 1/x^2 using First Principles
zhlédnutí 1,1KPřed rokem
Derivative of f(x) = 1/x^2 using First Principles
Derivative of f(x) = 1/x using First Principles
zhlédnutí 212Před rokem
Derivative of f(x) = 1/x using First Principles
UofT MAT235 2022-2023 Term Test 1 Solutions Take-Up
zhlédnutí 1,2KPřed rokem
UofT MAT235 2022-2023 Term Test 1 Solutions Take-Up
Derivative of f(x) = x^2 using First Principles
zhlédnutí 79Před rokem
Derivative of f(x) = x^2 using First Principles
Curl and Cross Products (Useful for Multivariable Calculus)
zhlédnutí 140Před rokem
Curl and Cross Products (Useful for Multivariable Calculus)
General Solution to a Nonhomogeneous System (Variation of Parameters)
zhlédnutí 6KPřed rokem
General Solution to a Nonhomogeneous System (Variation of Parameters)
General Solution to a Homogeneous System
zhlédnutí 345Před rokem
General Solution to a Homogeneous System
Eigenvalues and Eigenvectors For Differential Equations
zhlédnutí 636Před rokem
Eigenvalues and Eigenvectors For Differential Equations
Inverting a 3x3 Matrix Using Determinants and Cofactors
zhlédnutí 151Před rokem
Inverting a 3x3 Matrix Using Determinants and Cofactors
Prelude
zhlédnutí 216Před rokem
Prelude

Komentáře

  • @user-bk2ts2zc3r
    @user-bk2ts2zc3r Před 2 dny

    How do u write so fast

  • @dianajanecalaguin5816

    I was having a hard time finding the factors to thism

  • @thehammyb7613
    @thehammyb7613 Před 13 dny

    MVP <3

  • @ajmt5609
    @ajmt5609 Před 13 dny

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

  • @JO-bw5wx
    @JO-bw5wx Před 29 dny

    How you the the lamda2?

    • @caydenpage7557
      @caydenpage7557 Před 17 dny

      To find the eigenvalues (lambda), simply subtract lambda from the identity Matrix, and solve for the determinant of the matrix: (Example): |7-lambda 2| |4 3-lambda| By doing this you most likely will be given a quadratic equation: such as (lambda)^2+lambda-2 (note: this example does not relate to the example above). By factoring this example, we get: (lambda+2)(lambda-1). Which gives us: lambda(sub1)=-2 and lambda(sub2)=-1. These are your eigenvalues that can be used to solve for the eigenvector.

  • @zachin7
    @zachin7 Před měsícem

    Awesome lesson. Very clean and easy to follow narration 10/10

  • @echoside190
    @echoside190 Před měsícem

    got the final on Monday and was totally lost on this technique until now. Thank you!

  • @Bedoroski
    @Bedoroski Před měsícem

    Really helpful. Thank you

  • @nityatandon5057
    @nityatandon5057 Před měsícem

    If you have something for MAT 334 please let us know

    • @mathyyds
      @mathyyds Před měsícem

      I haven't quite taken MAT334 yet unfortunately! I will of course post anything I have after I take it

  • @nityatandon5057
    @nityatandon5057 Před měsícem

    Thank you so much

  • @strawberrygirl963
    @strawberrygirl963 Před měsícem

    thank you so much i was searching for this question

  • @user-fu9tj7ul6d
    @user-fu9tj7ul6d Před měsícem

    good job thanks

  • @noravanegas9830
    @noravanegas9830 Před měsícem

    thank you! I have a final next week you're saving me!

  • @jordaniumjordanicus
    @jordaniumjordanicus Před 2 měsíci

    a bit confused at 32:52. didn't you write x0 * fx (x-x0) + y0 * fy (y-y0) ... instead of just fx (x-x0) + fy (y-y0)

  • @user-fd2dy9bg1r
    @user-fd2dy9bg1r Před 2 měsíci

    спасибо! полезно!

  • @David-hl1wo
    @David-hl1wo Před 2 měsíci

    Does this calculate the basis?

  • @chelseag.3252
    @chelseag.3252 Před 2 měsíci

    Your voice is so nice and soothing and this video is so straightforward. Thank you so much! 🙏

  • @samanthag4659
    @samanthag4659 Před 2 měsíci

    Loved your detailed explanation as I searched for a breakdown of a question I wasn’t sure of while studying for my exam! Thanks!!

  • @xxxalphaeverythingxxx8489
    @xxxalphaeverythingxxx8489 Před 3 měsíci

    Forgets sphere formula, does multivariable calculus to find it out. Oops, I don't have enough bread. Proceeds to start farming wheat, starts a bakery, produces bread

  • @I-am-king.
    @I-am-king. Před 3 měsíci

    How can I convert back sir ?

  • @I-am-king.
    @I-am-king. Před 3 měsíci

    Very helpful

  • @I-am-king.
    @I-am-king. Před 3 měsíci

    Thank you so much bro

  • @howardyang6741
    @howardyang6741 Před 3 měsíci

    HE IS THE GOAT👏Niu Bi

  • @Omega.Animations
    @Omega.Animations Před 3 měsíci

    Thanks for making this

  • @gabedonovan3318
    @gabedonovan3318 Před 3 měsíci

    This is exactly what I needed! Thank you so much this was short sweet to the point! Made it very easy to understand and quickly too. Thank you so much 🙏

  • @aigamer79
    @aigamer79 Před 6 měsíci

    nice video broooo

  • @nityatandon5057
    @nityatandon5057 Před 8 měsíci

    Hi, do you have the practice test for term test 1? Can you upload it and the solutions on your drive or youtube channel?

    • @mathyyds
      @mathyyds Před 8 měsíci

      hi! MAT235 this semester is run a little differently, so this past test and any other ones likely cover different topics. I believe Prof. Kawach is still the coordinator and he usually posts practice tests meant to prepare students for the current MAT235 term tests, so your best bet is to go with those

  • @user-rl4rn5ge4e
    @user-rl4rn5ge4e Před 10 měsíci

    lesgo!

  • @kevinliu7957
    @kevinliu7957 Před 10 měsíci

    Oh dwaddy pweesh punishhh me

  • @duck2330
    @duck2330 Před 10 měsíci

    BRO I LOVE U KEEP UP THE GOOD WORK LITERAL GODSEND EVERYTHING IS STRAIGHT TO DA POINT IM TAKING 235 THIS SUMMER GOT THE FINAL IN 8 DAYS (from another math major)⭐

    • @mathyyds
      @mathyyds Před 10 měsíci

      I love you too duck2330 😌 So glad you're finding the videos helpful, and best of luck on the final!

  • @user-rl4rn5ge4e
    @user-rl4rn5ge4e Před 10 měsíci

    lesgooo!

  • @swaminsane
    @swaminsane Před 11 měsíci

    I think I will never forget the formula now

  • @daheihaozi
    @daheihaozi Před 11 měsíci

    Thanks Mr.X!

  • @natechop
    @natechop Před rokem

    Great video!

  • @user-kk5wn2xc4d
    @user-kk5wn2xc4d Před rokem

    Thnx

  • @tatguy47
    @tatguy47 Před rokem

    [Brain has left the chat.]

  • @daheihaozi
    @daheihaozi Před rokem

    Great video!

  • @jaiden3510
    @jaiden3510 Před rokem

    Could you please cover Calculus 1 application of integrals, specifically volumes by discs, shells etc

    • @mathyyds
      @mathyyds Před rokem

      I most certainly can! I’ll need to brush up a bit on Calc one content, but stay on the lookout!

  • @denniszhang7071
    @denniszhang7071 Před rokem

    i love chain rule!!

  • @danielstedman6846
    @danielstedman6846 Před rokem

    Hey thanks man, this really helped for physics too!

  • @andrewkim7610
    @andrewkim7610 Před rokem

    FIRST

  • @joechoi0604
    @joechoi0604 Před rokem

    My brother jinco😍

  • @kevinliu7957
    @kevinliu7957 Před rokem

    Jeez

  • @buenobus
    @buenobus Před rokem

    Great stuff! Super clear presentation and compact explanations 🎉

  • @user-rl4rn5ge4e
    @user-rl4rn5ge4e Před rokem

    Use OBS :)

  • @user-rl4rn5ge4e
    @user-rl4rn5ge4e Před rokem

    jin hao set up a camera :)

  • @user-rl4rn5ge4e
    @user-rl4rn5ge4e Před rokem

    LETS GOO!

  • @elbertchao7605
    @elbertchao7605 Před rokem

    Monsieur Eecks

  • @user-rl4rn5ge4e
    @user-rl4rn5ge4e Před rokem

    LETS GO JIN HAO!