Doctor Albert's Chalkboard
Doctor Albert's Chalkboard
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Rings-An Introduction
We give an introduction to rings. This includes the formal definition as a set with two binary operations, different types of rings, properties of rings, direct sums, subrings and homomorphisms.
For more help on rings, see the written posts
A Ring of Mappings
dralb.com/2020/01/08/a-ring-of-mappings/
A Ring of Matrices
dralb.com/2020/01/27/a-ring-of-matrices/
Integral Domain of Integers
dralb.com/2020/01/30/integral-domain-of-integers/
Переглядів: 91

Відео

Calculus Proofs
Переглядів 1094 роки тому
We show how to prove that limits either exist or do not exist using the epsilon delta definition. Furthermore, we use the limit definition to find a derivative. For more help, visit the written post at dralb.com/2019/04/19/proving-limits/
Cardinalities
Переглядів 884 роки тому
We look at what it means for infinite sets to be the same size. In particular, we look at which sets our countably infinite or uncountably infinite. For more help, you can visit the written post at dralb.com/2018/11/28/a-number-bigger-than-infinity/
Homework: Calculus Proofs and Cardinality
Переглядів 524 роки тому
We go over homework doing proofs on limits and showing that sets have the same cardinalities. For more help in this area, visit the written post at: dralb.com/2019/04/19/proving-limits/ dralb.com/2018/11/28/a-number-bigger-than-infinity/
Homomorphisms
Переглядів 764 роки тому
We define group homomorphisms and the kernel thereof. Then, we show the fundamental theorem of homomorphisms for groups, that is, that there is a one-to-one relationship between homomorphisms and normal subgroups. You can find more help at the written post dralb.com/2020/01/11/subgroups-of-the-permutations-on-three-elements/
Homework-Mappings
Переглядів 454 роки тому
We work through the homework on mappings. In particular, we work with examples showing that a given relation is a mapping, is one-to-one and onto.
Chapter 11 and 12 Homework
Переглядів 1054 роки тому
We go over homework giving proofs involving sets and non-conditional statements.
MATH 300-4/13-Mappings Part 2
Переглядів 384 роки тому
We continue to look how proving that mappings are one-to-one and onto. For more help, visit the written post at dralb.com/2019/04/19/bijective-mappings/
MATH 211-4/9-Set Proofs
Переглядів 1924 роки тому
We show how to prove that something is or isn't an element of a set. Then, we work on proofs involving subsets. Finally, we show how to prove that two sets are equal. For more help, visit the written posts at dralb.com/2019/03/31/set-equality-proof/
A Subgroup of Integers
Переглядів 1944 роки тому
A Subgroup of Integers
A Ring of Mappings
Переглядів 274 роки тому
A Ring of Mappings
Composition of Mappings on a Set
Переглядів 1264 роки тому
Composition of Mappings on a Set
An Operation on Matrices
Переглядів 94 роки тому
An Operation on Matrices
Sorting Algorithm
Переглядів 254 роки тому
Sorting Algorithm
How Many Ways Can You Get a Straight or Flush?
Переглядів 9954 роки тому
How Many Ways Can You Get a Straight or Flush?
Set Operations
Переглядів 1124 роки тому
Set Operations
Venn Diagrams
Переглядів 484 роки тому
Venn Diagrams
Sets: Finding Elements or Defining Rules
Переглядів 1824 роки тому
Sets: Finding Elements or Defining Rules
Counting: Permutations, Combinations and Multi-sets
Переглядів 7834 роки тому
Counting: Permutations, Combinations and Multi-sets
Tuesdays at the Park (11)
Переглядів 865 років тому
Tuesdays at the Park (11)
Tuesdays at the Park (10)
Переглядів 765 років тому
Tuesdays at the Park (10)
Welcome Teddy!
Переглядів 845 років тому
Welcome Teddy!
Halloween at the Park
Переглядів 1035 років тому
Halloween at the Park
Tuesdays at the Park (8)
Переглядів 925 років тому
Tuesdays at the Park (8)
Tuesdays At the Park (7)
Переглядів 1015 років тому
Tuesdays At the Park (7)
Tuesdays at the Park (6)
Переглядів 1155 років тому
Tuesdays at the Park (6)
Baby Name Reveal?/ Tuesdays at the park (5)
Переглядів 1275 років тому
Baby Name Reveal?/ Tuesdays at the park (5)
Tuesdays at the Park (4)
Переглядів 1305 років тому
Tuesdays at the Park (4)
Tuesdays at the Park (3)
Переглядів 1475 років тому
Tuesdays at the Park (3)
Tuesdays at the Park (1): Arthur's Birthday
Переглядів 1545 років тому
Tuesdays at the Park (1): Arthur's Birthday

КОМЕНТАРІ

  • @Dezci12308
    @Dezci12308 9 днів тому

    bro thanks alot

  • @ErinReneeWilliams
    @ErinReneeWilliams 2 місяці тому

    thank you king, needed this

  • @NishKis10
    @NishKis10 3 місяці тому

    Best 6 minutes ever. I've been trying to understand for an hour.

  • @anekleynhans1991
    @anekleynhans1991 6 місяців тому

    This is the clearest explanation i found so far. Thank you very much!!

  • @taibadoss569
    @taibadoss569 6 місяців тому

    Thanks. Finally I understood Kernel topic

  • @انهذاالعلمدين-س3س
    @انهذاالعلمدين-س3س 8 місяців тому

    Distributive law?

  • @mohammadtaimoorasad3580
    @mohammadtaimoorasad3580 8 місяців тому

    Amazing dude

  • @freeflow04
    @freeflow04 8 місяців тому

    Bro you just saved my life.

  • @molty1132
    @molty1132 10 місяців тому

    very good and simple video

  • @TusharRathi-t4p
    @TusharRathi-t4p 10 місяців тому

    The lectures are so marvellous! and the channel is so underrated.. Wishing you lots of health and happiness to your family, Professor.!

  • @abdulhafeez7415
    @abdulhafeez7415 Рік тому

    Fuck😅

  • @mucustica4706
    @mucustica4706 Рік тому

    ❤❤

  • @sajalmehta7798
    @sajalmehta7798 Рік тому

    Amazing explaination sir thanks alot👌🏻👏🏻🙂🙏🏻

  • @prajuchiha2212
    @prajuchiha2212 Рік тому

    thanks a lot professor!!!

  • @SurajKumar-kv7jk
    @SurajKumar-kv7jk Рік тому

    next level content thank u sooooo much tomorrow i have exam fully understood the concept thanksss

  • @Somerandomnessvvv
    @Somerandomnessvvv Рік тому

    Woah, in 6 minutes I learned what I couldn't understand in 8-hours worth of classes.

  • @nicholaskong1673
    @nicholaskong1673 Рік тому

    this helped a lot. awesome work explaining it simply in all in one video.

  • @edwardnosy
    @edwardnosy Рік тому

    well done.

  • @obamacarreviews1043
    @obamacarreviews1043 Рік тому

    Thanks. Great video.

  • @WyattBunch
    @WyattBunch Рік тому

    Very well made video, really helped in my discrete math class.

  • @shadycactus7896
    @shadycactus7896 Рік тому

    Thx

  • @mphozalevy7032
    @mphozalevy7032 2 роки тому

    Thank you

  • @PoliticswithZ
    @PoliticswithZ 2 роки тому

    From indian🙏

  • @allehjames7827
    @allehjames7827 2 роки тому

    How do I select a suitable centre point for any taylor series

  • @HassanIQ777
    @HassanIQ777 2 роки тому

    thank you sir

  • @SeanG_EE
    @SeanG_EE 2 роки тому

    This is the best and most concise video I have found on this topic. Thank you so much!

  • @mthokozisindlovu873
    @mthokozisindlovu873 2 роки тому

    you my hero....nice method🤍

  • @Shankareswari-p3s
    @Shankareswari-p3s 3 роки тому

    Thanks a lot sir

  • @abebeleta5828
    @abebeleta5828 3 роки тому

    We'll done!

  • @Donrichstar
    @Donrichstar 3 роки тому

    The video was really helpful

  • @k-lyleb339
    @k-lyleb339 3 роки тому

    You are a diamond in the rough. Great lecturer

  • @jsr7135
    @jsr7135 4 роки тому

    I actually understood what you said.. Thanks for making this video..

  • @jonny12223
    @jonny12223 4 роки тому

    Ty for the help!

  • @MrCmon113
    @MrCmon113 4 роки тому

    It's so cute how he keeps dropping the pens.

  • @firaolensermu670
    @firaolensermu670 4 роки тому

    Thank you! This was explained very well!

  • @reggulus652
    @reggulus652 5 років тому

    The thought process at the beginning was especially helpful

  • @EvanScottDevJMU
    @EvanScottDevJMU 5 років тому

    Thank you for making these videos. They have been extremely helpful.

  • @EvanScottDevJMU
    @EvanScottDevJMU 5 років тому

    Could you explain why you chose k=2 as your starting value when checking for absolute/conditional convergence?

    • @doctoralbertschalkboard2997
      @doctoralbertschalkboard2997 5 років тому

      If you use k=0 or k=1, the terms are undefined because you get 1/0 or -1/0. Therefore the series would be undefined. Hence, as part of the problem, it needs to be stated that we start at 2 or later for the series. Since the series starts at 2, the integral should also start at 2.

    • @EvanScottDevJMU
      @EvanScottDevJMU 5 років тому

      STEM and leaf That makes perfect sense. Thanks for the speedy reply!