-1+11380 
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. Merohar
930. 70five
931. cheef_resident
932. apidome
933. krunt
934. L2BSmart
935. foo
936. Therealian
937. kirang
938. junkman416
939. igbistro
940. nunofilipemargarido
941. Bennymoonbase
942. jd95
943. pinguhash
944. FuckOffGetFree
945. thesaxby
946. bishman
947. djhk12
948. Gzzkarina
949. psychedelicate
950. khichi
951. Debb2254
952. pepe454
953. theprofessor01
954. lausveneris
955. leafie3000
956. JokerFrown
957. ttift1991
958. Skidie
959. mantexx12
960. fr0zen
961. korvil
962. scoronatus
963. conspiracyofqueens
964. ivanka-a
965. anax
966. Richo1337
967. ljghome
968. hobnailedboots
969. Janette
970. kkellerz
971. module
972. yippohappo
973. braindamage
974. chicoveio
975. wwalid2050
976. R1pp3r
977. drumchaps
978. qwing
979. nawalster
980. mnmx
981. l0serdude
982. iamsurbhi
983. bbmacarthur
984. doubtme
985. zeroms
986. crichm03
987. XiewRikl
988. solstyce
989. shamwow19
990. jessncollins
991. RicoSpartan
992. eridamus
993. sotacan
994. Anayansi-Iris
995. DAYANIDHI
996. CaitlinJ42
997. buguoruci
998. frobnox
999. allydillydally
1000. scampagna01
1001. RichardActually
1002. guneyd
1003. cryptguy
1004. JimSunkes
1005. cyberuser42
1006. jessexo
1007. Bnealis
1008. gaveen22
1009. HexMerck
1010. futrchamp
1011. da.amaya483
1012. mbarton1107
1013. kaneda
1014. heeraaa
1015. saramerlini
1016. shamano
1017. benshats
1018. Threscher
1019. borsaric
1020. martyg
1021. chairmanMeow
1022. caliphae
1023. kcuratolo
1024. xbecca3
1025. Lucifer98
1026. bacantu
1027. presidentdonkey
1028. LeVarBurton
1029. Snejana
1030. Pete
1031. palcu
1032. PEPZsquad
1033. HarleyJean
1034. levy_mCgarden
1035. spunkpike
1036. DrOfRecreation
1037. Cassiev
1038. sintrastes
1039. benknowlton
1040. imabanananut
1041. sleeplessspells
1042. Better_Angels
1043. relevant_thing
1044. shitzfez
1045. kingosraigi
1046. Ichikoa
1047. TheSn4ke
1048. ryanpoliver
1049. Theguybehindthescreen
1050. lurma
1051. BEG515
1052. haraf_ijhal
1053. cms
1054. cms
1055. imnotsosureyou
1056. dooleynotedd
1057. 10saumiljoshi24
1058. dullchuck
1059. lazypakman
1060. yannipang
1061. fauxhemian5
1062. fauxhemian5
1063. Aleroniponi
1064. namesare4tombstones
1065. saladbar_
1066. Divyanshu
1067. JRB_2000
1068. Screwdrivers
1069. dulekt
1070. Dink2311
1071. Ozziemedes
1072. 5tefan0
1073. eKro
1074. gavhanna
1075. jmrkumar
1076. JayMendez
1077. Ishwari
1078. halfbakedbertie
1079. CypheriusRex
1080. CypheriusRex
1081. Aw35om3n355
1082. dreadman86
1083. ishani1319
1084. snv_tshd
1085. just_ron
1086. bob786bob786
1087. ayman-mahgoub
1088. theslyfox064
1089. theguywithacomputer
1090. juyeon_jang
1091. garmu
1092. churro777
1093. bonedlime
1094. xdcx
1095. cherukurinagarjun
1096. vishachar
1097. sutton_nightmare
1098. theaccountant
1099. muhtar
1100. kguler
1101. analy7er
1102. d34dkn16h7
1103. AmerieHartree
1104. fezspinkguitar
1105. brettjay
1106. senpi
1107. SvetikG
1108. Truffles
1109. kevivyor
1110. EntropicalForest
1111. Rbrown
1112. JacyFace
1113. jungjalapeno
1114. Higs
1115. eddytheflow
1116. ShadowSIPS
1117. ahmadmzak
1118. acebowen
1119. aboutdabusiness
1120. 20sat92
1121. cyho
1122. spy_2380
1123. snow_drop32
1124. fml-6626
1125. orchidsage
1126. kbanks4130
1127. rick101
1128. Dhunsi
1129. mchelley
1130. _redheadredemption_
1131. tom_sorrow
1132. ish94
1133. Michaelpelotte
1134. ineedtopeepee
1135. advanced_basic
1136. hooray4alex
1137. fuckpatricksmom
1138. hderms
1139. justanr
1140. bendaizer
1141. ivanureddit00
1142. throwawaymathy
1143. jimmmyboy
1144. apeters
1145. coolamebe
1146. uberstalker
1147. afiaust
1148. hannibal
1149. TheTravelingSpaceman
1150. outterspaceproduct
1151. apocrypha13142
1152. sreyes27
1153. PudBox
1154. mejia_daniel
1155. 889889771
1156. nicoekkart
1157. comfyc
1158. breexrawrx
1159. yapluss
1160. sfiltz
1161. Reddcancer96
1162. hiphop90
1163. ljxj
1164. cetahavis
1165. Megareyzor
1166. calebcardozo
1167. Canoener
1168. nomad_mind
1169. Abrusco
1170. Cody72
1171. the.actress
1172. captaindrek
1173. mpykan
1174. evilloid
1175. 1234yann
1176. jokullinn
1177. baysiderogue
1178. 742617
1179. fkya
1180. eldinerio
1181. lella
1182. james_9702
1183. xrysakalu
1184. Giedrius
1185. akeem.bacchus
1186. akbotik_92
1187. reganj
1188. DritJiffer
1189. Di2
1190. pranay1101
1191. msoup
1192. sdzugalo
1193. thayveline
1194. conhood6617
1195. naolermias
1196. AmandaLynnA
1197. princesspoohs
1198. salthoff
1199. Joecorgi
1200. Zackman
1201. kgwscarffe
1202. swarren9
1203. Mystery
1204. kayama
1205. WarGy_Luremus
1206. rajrahul
1207. Cmoreno723
1208. Driplone
1209. bobbi.bee
1210. Count_of_Monte_Crisco
1211. madschwenn
1212. Spider999ix
1213. SaraJamous
1214. pbdrpepperpb
1215. burubaxair
1216. Aspirina
1217. onex0907
1218. ChaceHunter
1219. darkespin
1220. UnidentifiedBlkMan
1221. EvilEgg
1222. Tallkobben
1223. Andres
1224. ayacsa
1225. afeef_afi
1226. kristanaquin545
1227. mhared
1228. Revcass
1229. remotep
1230. solrik
1231. davitik
1232. QuantumQuark5
1233. seanknight
1234. monica_a
1235. sarah-ziad
1236. Mastermind_Simpleton
1237. opaedo
1238. ilfg
1239. shlomer
1240. luccunha
1241. starskip
1242. oohso80s
1243. miagirl75
1244. thedanielchacko
1245. giovanod
1246. aguerrapa
1247. HighlyEvolved
1248. scantron_amazing
1249. Dhruval250
1250. juststudent_1
1251. __hsams__
1252. cioly
1253. I_am_a_dumb
1254. tammuz
1255. tidalwave
1256. patrick.g
1257. zellekley
1258. alexantherethegreat
1259. brelovely15
1260. avi6687
1261. kaito123488
1262. jayver
1263. faustwaltzer
1264. MorsMiles
1265. asrs
1266. brwesley7
1267. manzar7
1268. rggmcn
1269. Pappan125
1270. Wit_Huntybee
1271. passthegouda
1272. joe24grube
1273. Mohammed_salih
1274. Maheshkarthik
1275. hardy1234
1276. DuesExMachina96
1277. Mete0r1t3
1278. savantsavage
1279. soueuls
1280. messi
1281. sam12.1
1282. vinicius97
1283. sevenstarsofstef
1284. mrdanielgriffith
1285. VonFoerster
1286. rrjlhj
1287. bobbiburrows2
1288. AdrianaNistor
1289. curioussagittarius
1290. frontraiderz
1291. Thorhey
1292. dpdocs21
1293. keenlearner
1294. CampCarthage
1295. nowellahhh
1296. Sithsaber
1297. JakubTetek
1298. nicolasblackburn
1299. nishai
1300. seanxedge
1301. spencair
1302. Zero21
1303. blakjak02
1304. alexthepandaman
1305. Monica101
1306. Mel8
1307. sarah_ren
1308. theEMPTYlife
1309. redditmucation
1310. heisenbergss
1311. sharpr1987
1312. Slz00
1313. JoshuaWeinberger
1314. Gargantuon
1315. H.Felix
1316. bymythroat
1317. nelgar31
1318. tanamayfield
1319. vanillaCocaCola
1320. kd73
1321. schmiter
1322. nodari
1323. villarealca
1324. causa77
1325. asm
1326. Halkilt
1327. taartun
1328. Chiyo
1329. MooseRuse
1330. hallocaffeine
1331. JaiEzikeil
1332. pinkaleph
1333. ddorksey
1334. R3vis1on
1335. Ajrosario
1336. rmpvieira
1337. RRodrigues
1338. nitsud
1339. StarchiId
1340. MikeyyZ
1341. sanrenxinbiyouwoshi
1342. fov223
1343. kaps5050
1344. mozammil26
1345. jhorapalock
1346. Cathrxne
1347. JohnSmithson
1348. qtq
1349. ganggang3hunneth
1350. Col.Cake
1351. Alicia
1352. MykittenRiley
1353. afrubberduck
1354. behlvaishali
1355. harsh2803
1356. chaosofstarlesssleep
1357. Chuchy10
1358. asimovpy
1359. davidbrads
1360. StefanLooke
1361. powndy24
1362. dank_beluga
1363. Sigma1968
1364. tiphae
1365. somethinpoetic21
1366. se-ven
1367. dragofchaos
1368. jakeroot
1369. noobto
1370. tzinquaw2
1371. uraniumrage
1372. gutvilla
1373. Gundas3073
1374. allymay234
1375. ashuto0sh
1376. Shannondc80
1377. greenredidunno
1378. toru_okada2311
1379. fusar007
1380. morbidbattlecry
1381. tvalerio
1382. erikologee
1383. charly3D
1384. onikos
1385. Slas
1386. logarithmia
1387. Wolf_meets_Raven
1388. tiabaer212
1389. arisagf
1390. neudimol
1391. Jmcallister
1392. nukeduke
1393. itsboin
1394. mohitjain0920
1395. fightmefuccbois
1396. carloc
1397. Diego1995
1398. janart
1399. littlebiglalo
1400. adv7
1401. TyieseMarie
1402. Pavfour
1403. luke.cui
1404. mnatsirm
1405. JackSchpeck
1406. mareepmareep
1407. santacheese
1408. Senpai
1409. bsisman
1410. iPreferpi
1411. itsmassive
1412. buzzwider
1413. crixaliz
1414. AljonP
1415. Samarial
1416. Mrs.Darling
1417. mrggud
1418. s_SpQR
1419. WhatTheYock
1420. theoriginalmick
1421. Haymaker33
1422. due559
1423. adalmia01
1424. dragon1_logata
1425. drnickmd
1426. jhanak
1427. Gilligan-Uni
1428. AfroSupreme
1429. iGamerXD
1430. WinterFrost
1431. jnberkshire
1432. swaggerrrr
1433. eyeofatigress
1434. theflyingbrant
1435. jackiewu
1436. manwhattodo
1437. renchick
1438. shutes_n_ladders
1439. hatani
1440. ValorousDawn
1441. JerryKitich
1442. kellyl624
1443. sagemini.6
1444. NegroFromSpace
1445. jcook4508
1446. Kaiser_Atzen
1447. Conquer_01
1448. elcamlost
1449. Schmucko
1450. xX_Throne_Xx
1451. elspark
1452. opiax
1453. trinity.michelle
1454. sidheshwar
1455. wewillsolvethesky
1456. prateekchandrajha
1457. PoisonSnacks
1458. number1pride
1459. acro
1460. fartun101
1461. Ccvigors
1462. the_janus_man
1463. Madhumanonfire
1464. happyrao123
1465. ineedmathhelp
1466. slittlefield
1467. klariel
1468. RazVayne
1469. vimal.p
1470. EsraDemir
1471. bdobba
1472. neoezekiel
1473. charityamis
1474. okyan0
1475. ngomd
1476. sudip_bhandari
1477. pandoobus
1478. king_meruem
1479. gonzalezt.0987
1480. Jennifer2009
1481. vijaychintala0305
1482. Road-Apples
1483. alphachic
1484. mukesh
1485. s0fist
1486. jansois
1487. indierealm
1488. Richard.Deckard
1489. z47gham
1490. Chiron_
1491. smthginfo
1492. chrryjy
1493. HUMPHREY
1494. Ratsela
1495. kreigos
1496. Nuttellarocks
1497. SpartaSpartan117
1498. blubby
1499. hemlatanayal18
1500. ayemaae
1501. atheinan
1502. mvresh
1503. Hedrew
1504. miharroes
1505. haxtonj
1506. tekalon
1507. p3t3r.tnie
1508. sillypuss
1509. gad
1510. asian_eleph_ent
1511. diabellical
1512. hydrogendos
1513. shulmano
1514. conorDOT
1515. aprendere
1516. ckwon1309
1517. bjp2nd1980
1518. vallver
1519. ralve
1520. smonterrosa
1521. ccsp
1522. msamdgirl01
1523. Athar
1524. Dorstamo
1525. ebtehaj-akbar
1526. Apeiron91
1527. mangeshjoshi819