-1+11593 
Modern Algebra (Abstract Algebra) Made Easy

I really enjoyed Modern Algebra, so much so that I decided to make a lecture series explaining all the different topics via examples, proofs, and fun pieces of insight.

Lectures
  1. the Binary Operation

    In this video, I introduce the binary operation, and give some examples, T/F questions, and a proof using the idea of the binary operation. Hope you like it, Comments/Questions/Criticism welcome!

  2. Groups

    In this video, I explain a simple concept in Modern (abstract) Algebra, groups. A also give 3 examples of problems dealing with groups. I hope you like it. Let me know what you thought!

  3. Subgroups

    In this video I explain the basics of what it means to be a subgroup, and show some fun problems working with subgroups.

  4. Cyclic Groups & Generators

    This time I talk about what a Cyclic Group/Subgroup is and give examples, theory, and proofs rounding off this topic. I hope you enjoy it, was really fun to make.

  5. Permutations

    In this video, I introduce permutations, show examples and T/F questions. Hope you like it, let me know if you have any questions, comments, criticisms!

  6. Orbits & Cycles

    In this video, I contrast, compare, and further define permutations, cycles, and orbits. I also show examples of each, and there's one proof at the end. Hope you like it!

  7. Cosets & Lagrange's Theorem

    In this video, I give definitions, examples, T/F qustions, and proofs talking about cosets and Lagrange's Thm. Hope you like it. Feel free to give me some constructive feedback!

  8. Direct Products and Finitely Generated Abelian Groups

    In this lecture, I define and explain in detail what Finitely Generated Abelian Groups are. I give examples, proofs, and some interesting tidbits that are hard to come by. Hope you like it!

  9. Group Homomorphisms

    In this video, I give definitions, examples, and proofs talking about group homomorphisms. Hope you like it. Feel free to give me some constructive feedback!

    Works Cited: The only significant source for these videos is 'A First Course in Abstract Algebra', 2nd ed. by John Fraleigh. Though most of the problems and definitions come from this book, I explain the all the material & solutions in my own words.

  10. Factor (Quotient) Groups

    In this video, I give definitions, examples, and proofs talking about factor groups. Hope you like it. Feel free to give me some constructive feedback!

    Works Cited: The only significant source for these videos is 'A First Course in Abstract Algebra', 2nd ed. by John Fraleigh. Though most of the problems and definitions come from this book, I explain the all the material & solutions in my own words.

Prerequisites

For the first few lectures, you really don't need any fancy math. I try to break it down to where anyone can understand. That being said, you should probably have taken at least through High School Algebra.

For the later parts, it does help to have taken a Discrete Math/Intro to Advanced Math class.

Syllabus

0 - Binary Operation 1 - Groups 2 - Subgroups 3 - Cyclic Groups and Generators 4 - Permutations 5 - Orbits and Cycles 6 - Cosets and Lagrange's Theorem 7 - Direct Products and Finitely Generated Abelian Groups 8 - Group Homomorphisms

Additional information

I've been a full-time math tutor for over 5 years. After the first 2 or 3 of those years, I began to take a serious interest in math. It really is a beautiful subject, and Modern Algebra is, to me, the best example of why math can be so simple, but so beautiful.

Teacher qualifications

BS-Mathematics. I hope to continue studying Math for my Master's in the Spring/Fall 2013.

Latest Update

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929. cheef_resident
930. apidome
931. krunt
932. L2BSmart
933. foo
934. Therealian
935. kirang
936. junkman416
937. igbistro
938. nunofilipemargarido
939. Bennymoonbase
940. jd95
941. pinguhash
942. FuckOffGetFree
943. thesaxby
944. bishman
945. djhk12
946. Gzzkarina
947. psychedelicate
948. khichi
949. Debb2254
950. pepe454
951. theprofessor01
952. lausveneris
953. leafie3000
954. JokerFrown
955. ttift1991
956. Skidie
957. mantexx12
958. fr0zen
959. korvil
960. scoronatus
961. conspiracyofqueens
962. ivanka-a
963. anax
964. Richo1337
965. ljghome
966. hobnailedboots
967. Janette
968. kkellerz
969. module
970. yippohappo
971. braindamage
972. chicoveio
973. wwalid2050
974. R1pp3r
975. drumchaps
976. qwing
977. nawalster
978. mnmx
979. l0serdude
980. iamsurbhi
981. bbmacarthur
982. doubtme
983. zeroms
984. crichm03
985. XiewRikl
986. solstyce
987. shamwow19
988. jessncollins
989. RicoSpartan
990. eridamus
991. sotacan
992. Anayansi-Iris
993. DAYANIDHI
994. CaitlinJ42
995. buguoruci
996. frobnox
997. allydillydally
998. scampagna01
999. RichardActually
1000. guneyd
1001. cryptguy
1002. JimSunkes
1003. cyberuser42
1004. jessexo
1005. Bnealis
1006. gaveen22
1007. HexMerck
1008. futrchamp
1009. da.amaya483
1010. mbarton1107
1011. kaneda
1012. heeraaa
1013. saramerlini
1014. shamano
1015. benshats
1016. Threscher
1017. borsaric
1018. martyg
1019. chairmanMeow
1020. caliphae
1021. kcuratolo
1022. xbecca3
1023. Lucifer98
1024. bacantu
1025. presidentdonkey
1026. LeVarBurton
1027. Snejana
1028. Pete
1029. palcu
1030. PEPZsquad
1031. HarleyJean
1032. levy_mCgarden
1033. spunkpike
1034. DrOfRecreation
1035. Cassiev
1036. sintrastes
1037. benknowlton
1038. imabanananut
1039. sleeplessspells
1040. Better_Angels
1041. relevant_thing
1042. shitzfez
1043. kingosraigi
1044. Ichikoa
1045. TheSn4ke
1046. ryanpoliver
1047. Theguybehindthescreen
1048. lurma
1049. BEG515
1050. haraf_ijhal
1051. cms
1052. cms
1053. imnotsosureyou
1054. dooleynotedd
1055. 10saumiljoshi24
1056. dullchuck
1057. lazypakman
1058. yannipang
1059. fauxhemian5
1060. fauxhemian5
1061. Aleroniponi
1062. namesare4tombstones
1063. saladbar_
1064. Divyanshu
1065. JRB_2000
1066. Screwdrivers
1067. dulekt
1068. Dink2311
1069. Ozziemedes
1070. 5tefan0
1071. eKro
1072. gavhanna
1073. jmrkumar
1074. JayMendez
1075. Ishwari
1076. halfbakedbertie
1077. CypheriusRex
1078. CypheriusRex
1079. Aw35om3n355
1080. dreadman86
1081. ishani1319
1082. snv_tshd
1083. just_ron
1084. bob786bob786
1085. ayman-mahgoub
1086. theslyfox064
1087. theguywithacomputer
1088. juyeon_jang
1089. garmu
1090. churro777
1091. bonedlime
1092. xdcx
1093. cherukurinagarjun
1094. vishachar
1095. sutton_nightmare
1096. theaccountant
1097. muhtar
1098. kguler
1099. analy7er
1100. d34dkn16h7
1101. AmerieHartree
1102. fezspinkguitar
1103. brettjay
1104. senpi
1105. SvetikG
1106. Truffles
1107. kevivyor
1108. EntropicalForest
1109. Rbrown
1110. JacyFace
1111. jungjalapeno
1112. Higs
1113. eddytheflow
1114. ShadowSIPS
1115. ahmadmzak
1116. acebowen
1117. aboutdabusiness
1118. 20sat92
1119. cyho
1120. spy_2380
1121. snow_drop32
1122. fml-6626
1123. orchidsage
1124. kbanks4130
1125. rick101
1126. Dhunsi
1127. mchelley
1128. _redheadredemption_
1129. tom_sorrow
1130. ish94
1131. Michaelpelotte
1132. ineedtopeepee
1133. advanced_basic
1134. hooray4alex
1135. fuckpatricksmom
1136. hderms
1137. justanr
1138. bendaizer
1139. ivanureddit00
1140. throwawaymathy
1141. jimmmyboy
1142. apeters
1143. coolamebe
1144. uberstalker
1145. afiaust
1146. hannibal
1147. TheTravelingSpaceman
1148. outterspaceproduct
1149. apocrypha13142
1150. sreyes27
1151. PudBox
1152. mejia_daniel
1153. 889889771
1154. nicoekkart
1155. comfyc
1156. breexrawrx
1157. yapluss
1158. sfiltz
1159. Reddcancer96
1160. hiphop90
1161. ljxj
1162. cetahavis
1163. Megareyzor
1164. calebcardozo
1165. Canoener
1166. nomad_mind
1167. Abrusco
1168. Cody72
1169. the.actress
1170. captaindrek
1171. mpykan
1172. evilloid
1173. 1234yann
1174. jokullinn
1175. baysiderogue
1176. 742617
1177. fkya
1178. eldinerio
1179. lella
1180. james_9702
1181. xrysakalu
1182. Giedrius
1183. akeem.bacchus
1184. akbotik_92
1185. reganj
1186. DritJiffer
1187. Di2
1188. pranay1101
1189. msoup
1190. sdzugalo
1191. thayveline
1192. conhood6617
1193. naolermias
1194. AmandaLynnA
1195. princesspoohs
1196. salthoff
1197. Joecorgi
1198. Zackman
1199. kgwscarffe
1200. swarren9
1201. Mystery
1202. kayama
1203. WarGy_Luremus
1204. rajrahul
1205. Cmoreno723
1206. Driplone
1207. bobbi.bee
1208. Count_of_Monte_Crisco
1209. madschwenn
1210. Spider999ix
1211. SaraJamous
1212. pbdrpepperpb
1213. burubaxair
1214. Aspirina
1215. onex0907
1216. ChaceHunter
1217. darkespin
1218. UnidentifiedBlkMan
1219. EvilEgg
1220. Tallkobben
1221. Andres
1222. ayacsa
1223. afeef_afi
1224. kristanaquin545
1225. mhared
1226. Revcass
1227. remotep
1228. solrik
1229. davitik
1230. QuantumQuark5
1231. seanknight
1232. monica_a
1233. sarah-ziad
1234. Mastermind_Simpleton
1235. opaedo
1236. ilfg
1237. shlomer
1238. luccunha
1239. starskip
1240. oohso80s
1241. miagirl75
1242. thedanielchacko
1243. giovanod
1244. HighlyEvolved
1245. scantron_amazing
1246. Dhruval250
1247. juststudent_1
1248. __hsams__
1249. cioly
1250. I_am_a_dumb
1251. tammuz
1252. tidalwave
1253. patrick.g
1254. zellekley
1255. alexantherethegreat
1256. brelovely15
1257. avi6687
1258. kaito123488
1259. jayver
1260. faustwaltzer
1261. MorsMiles
1262. asrs
1263. brwesley7
1264. manzar7
1265. rggmcn
1266. Pappan125
1267. Wit_Huntybee
1268. passthegouda
1269. joe24grube
1270. Mohammed_salih
1271. Maheshkarthik
1272. hardy1234
1273. DuesExMachina96
1274. Mete0r1t3
1275. savantsavage
1276. soueuls
1277. messi
1278. sam12.1
1279. vinicius97
1280. sevenstarsofstef
1281. mrdanielgriffith
1282. VonFoerster
1283. rrjlhj
1284. bobbiburrows2
1285. AdrianaNistor
1286. curioussagittarius
1287. frontraiderz
1288. Thorhey
1289. dpdocs21
1290. keenlearner
1291. CampCarthage
1292. nowellahhh
1293. Sithsaber
1294. JakubTetek
1295. nicolasblackburn
1296. nishai
1297. seanxedge
1298. spencair
1299. Zero21
1300. blakjak02
1301. alexthepandaman
1302. Monica101
1303. Mel8
1304. sarah_ren
1305. theEMPTYlife
1306. redditmucation
1307. heisenbergss
1308. sharpr1987
1309. Slz00
1310. JoshuaWeinberger
1311. Gargantuon
1312. H.Felix
1313. bymythroat
1314. nelgar31
1315. tanamayfield
1316. vanillaCocaCola
1317. kd73
1318. schmiter
1319. nodari
1320. villarealca
1321. causa77
1322. asm
1323. Halkilt
1324. taartun
1325. Chiyo
1326. MooseRuse
1327. hallocaffeine
1328. JaiEzikeil
1329. pinkaleph
1330. ddorksey
1331. R3vis1on
1332. Ajrosario
1333. rmpvieira
1334. RRodrigues
1335. nitsud
1336. StarchiId
1337. MikeyyZ
1338. sanrenxinbiyouwoshi
1339. fov223
1340. kaps5050
1341. mozammil26
1342. jhorapalock
1343. Cathrxne
1344. JohnSmithson
1345. qtq
1346. ganggang3hunneth
1347. Col.Cake
1348. Alicia
1349. MykittenRiley
1350. afrubberduck
1351. behlvaishali
1352. harsh2803
1353. chaosofstarlesssleep
1354. Chuchy10
1355. asimovpy
1356. davidbrads
1357. StefanLooke
1358. powndy24
1359. dank_beluga
1360. Sigma1968
1361. tiphae
1362. somethinpoetic21
1363. se-ven
1364. dragofchaos
1365. jakeroot
1366. noobto
1367. tzinquaw2
1368. uraniumrage
1369. gutvilla
1370. Gundas3073
1371. allymay234
1372. ashuto0sh
1373. Shannondc80
1374. greenredidunno
1375. toru_okada2311
1376. fusar007
1377. morbidbattlecry
1378. tvalerio
1379. erikologee
1380. charly3D
1381. onikos
1382. Slas
1383. logarithmia
1384. Wolf_meets_Raven
1385. tiabaer212
1386. arisagf
1387. neudimol
1388. Jmcallister
1389. nukeduke
1390. itsboin
1391. mohitjain0920
1392. fightmefuccbois
1393. carloc
1394. Diego1995
1395. janart
1396. littlebiglalo
1397. adv7
1398. TyieseMarie
1399. Pavfour
1400. luke.cui
1401. mnatsirm
1402. JackSchpeck
1403. mareepmareep
1404. santacheese
1405. Senpai
1406. bsisman
1407. iPreferpi
1408. itsmassive
1409. buzzwider
1410. crixaliz
1411. AljonP
1412. Samarial
1413. Mrs.Darling
1414. mrggud
1415. s_SpQR
1416. WhatTheYock
1417. theoriginalmick
1418. Haymaker33
1419. due559
1420. adalmia01
1421. dragon1_logata
1422. drnickmd
1423. jhanak
1424. Gilligan-Uni
1425. AfroSupreme
1426. iGamerXD
1427. WinterFrost
1428. jnberkshire
1429. swaggerrrr
1430. eyeofatigress
1431. theflyingbrant
1432. jackiewu
1433. manwhattodo
1434. renchick
1435. shutes_n_ladders
1436. hatani
1437. ValorousDawn
1438. JerryKitich
1439. kellyl624
1440. sagemini.6
1441. NegroFromSpace
1442. jcook4508
1443. Kaiser_Atzen
1444. Conquer_01
1445. elcamlost
1446. Schmucko
1447. xX_Throne_Xx
1448. elspark
1449. opiax
1450. trinity.michelle
1451. sidheshwar
1452. wewillsolvethesky
1453. prateekchandrajha
1454. PoisonSnacks
1455. number1pride
1456. acro
1457. fartun101
1458. Ccvigors
1459. the_janus_man
1460. Madhumanonfire
1461. happyrao123
1462. ineedmathhelp
1463. slittlefield
1464. klariel
1465. RazVayne
1466. vimal.p
1467. EsraDemir
1468. bdobba
1469. neoezekiel
1470. charityamis
1471. okyan0
1472. ngomd
1473. sudip_bhandari
1474. pandoobus
1475. king_meruem
1476. gonzalezt.0987
1477. Jennifer2009
1478. vijaychintala0305
1479. Road-Apples
1480. alphachic
1481. mukesh
1482. s0fist
1483. jansois
1484. indierealm
1485. Richard.Deckard
1486. z47gham
1487. Chiron_
1488. smthginfo
1489. chrryjy
1490. HUMPHREY
1491. Ratsela
1492. kreigos
1493. Nuttellarocks
1494. SpartaSpartan117
1495. blubby
1496. hemlatanayal18
1497. ayemaae
1498. atheinan
1499. mvresh
1500. Hedrew
1501. miharroes
1502. haxtonj
1503. tekalon
1504. p3t3r.tnie
1505. sillypuss
1506. gad
1507. asian_eleph_ent
1508. diabellical
1509. hydrogendos
1510. shulmano
1511. conorDOT
1512. aprendere
1513. ckwon1309
1514. bjp2nd1980
1515. vallver
1516. ralve
1517. smonterrosa
1518. ccsp
1519. msamdgirl01
1520. Athar
1521. Dorstamo
1522. ebtehaj-akbar
1523. Apeiron91
1524. mangeshjoshi819
1525. jmpotero
1526. unicornonacid5
1527. qcwinters
1528. joehunt1991
1529. Fluffymountain
1530. Alexandria.Doney
1531. Maughmer
1532. mcampuza
1533. nikitzie
1534. mtfleming
1535. jessyjinja
1536. pfrcks
1537. vijaypradhan
1538. asilentsound
1539. kmmadan7
1540. superpink
1541. dickorchestra
1542. easysolve
1543. OfeliaBC
1544. nightoracle
1545. mauroandres
1546. edsonlv
1547. spencerjayharrison
1548. WhiteSpider
1549. accel
1550. leoooo
1551. kaydea
1552. ceater259
1553. Autumnmay
1554. c_cheryl11
1555. psicocat
1556. ksimp126
1557. AshliePolanco
1558. beyondfreaks
1559. neostache
1560. Trung0246
1561. Stefie7990
1562. Cupcake_batter_is_bae
1563. daisyrose
1564. tim_millar
1565. euphorialive
1566. sabrinaureddit
1567. michaelterhov
1568. eladieu
1569. perfectionist714
1570. Lakshyana
1571. musicaljoy
1572. bdukesherer
1573. tbakermo
1574. poiu6386
1575. whittaker123
1576. iamalurker
1577. nikimpl
1578. CobaltSthenia
1579. ashleyrichardz
1580. e-lectra-heart
1581. alusinek
1582. ddstitt
1583. kingmichael
1584. Goldtiger18
1585. brjaco
1586. Jw1290
1587. conciselife
1588. caitread
1589. karalynnesk
1590. Cwolfe219
1591. rakesh_chinta
1592. gurusiv
1593. sebtran
1594. helloFrank
1595. Alekkan99
1596. rosecabug
1597. kodumuru_niranjan
1598. magik
1599. geoful
1600. Drose677
1601. kenziebennett
1602. FourBrane
1603. AxeZ
1604. spookyfoster
1605. pmgiese7
1606. iProJamaican
1607. blendinl
1608. cherianthomas4337
1609. anceen22
1610. rfgthty
1611. shilezi
1612. g618034
1613. cranndarach
1614. Mellzuh
1615. Cooki347
1616. Mohamed_Amin
1617. Goergesbataille
1618. Pixtiny
1619. deepu
1620. marklevinson123
1621. Minerva
1622. rhaverlock
1623. taeyeonist
1624. sonny
1625. itisurdestiny
1626. JoeBlow
1627. Berrynl
1628. hsams
1629. yesibarrera
1630. ruthreyes94
1631. crainey1
1632. Chooseyourbattles
1633. zapoclicky
1634. alexisunderscorejones
1635. DMedinov
1636. dassy
1637. Motta75
1638. bri1995
1639. videshpa
1640. Dibya
1641. Shayy
1642. Sarojsanyasi
1643. Lauren_A.Patton
1644. dElla
1645. VernounBubbt
1646. rashi
1647. kdepape
1648. Zero554
1649. sarahhhh
1650. Pcampbell101
1651. Mkeita23
1652. Kleboeuf13
1653. khier
1654. Shaddap_
1655. PattyCakes
1656. carorineee
1657. JMeara275
1658. Molsdee
1659. Guitarislife07309
1660. adarshchbs
1661. jays.maa
1662. Keiryn
1663. TK192
1664. thehubps
1665. FuckinPrawns
1666. wanastacio
1667. amd130
1668. EricaLaganiere
1669. nastrus
1670. Riemann
1671. mullberry
1672. lydwak
1673. Ayannaaaa17
1674. catrick777
1675. EirDiam
1676. syntheticwisdom
1677. umeradam
1678. zcrltt
1679. mguardia
1680. piroucroix
1681. Mofender
1682. Girish123
1683. mollina2012
1684. Sschley
1685. nicleung
1686. chey21
1687. Anj2017
1688. malina2002
1689. Secretcherry563
1690. saaabotage
1691. laceadrane
1692. Joyantika
1693. renee020999
1694. bayu16007
1695. lrasidakis
1696. ejrodman918
1697. Jay90
1698. labeeb255
1699. washychainz
1700. noimbatmansucka
1701. otay20
1702. ahmed5_27
1703. TeddyScott
1704. ameowia
1705. issa26
1706. MAHIPAL_KULADIYA
1707. akeddrie
1708. sunilrhce15
1709. kaseyhymel
1710. taysaeideh
1711. alexandraavelar57
1712. darkarchang3l
1713. NothingtoSee
1714. zhs047
1715. NickoleA
1716. theUncompleteCosmico
1717. ChayceNE
1718. vaishnavid
1719. ascppl
1720. ekn90
1721. OlethiaAzalea
1722. cedgett7
1723. bmorro
1724. cecilevsl
1725. manishb27
1726. Vincenttaylor99k
1727. buttscratcher3000
1728. pooperinoo
1729. poopertrooper08
1730. Mohini30
1731. ssamuelson1906
1732. butterhawke
1733. Unalume
1734. katenich95
1735. LazyResearcher
1736. gummadhav
1737. frankbaugh
1738. Momendes
1739. txredking90
1740. cristian428
1741. GunsoSniper
1742. Jsirvv
1743. jdrmallari
1744. jaga94
1745. munkbatodbayar
1746. cyntspsi
1747. beth2010
1748. OrderOfTheAshes
1749. alizerin
1750. Salmael
1751. SleepySpider
1752. mobothehobo
1753. zfphys
1754. speedzf123
1755. Mamaloufouty
1756. katylou65
1757. joejiong
1758. niccalittle
1759. abeastinme
1760. lyandle
1761. rodknark
1762. anumehta0123
1763. AsmiAbdeslam
1764. Queezy-wheezy