-1+1719 
Linear Algebra

The basic goal of mine is not to teach you mathematics, rather to have you create mathematics from your understanding. As both a student and teacher, i have realized that mathematics has unfortunately fell into a realm of memorization and recreation. In this course i will give real life examples why you would actually care about linear algebra, problems will have applications just not a "produce a number" idea. I expect to do examples from chemistry, physics as well as engineering.

At the end of this class it is hoped you will be able to:

  • Solve linear equations
  • Understand that all problems can be simplified to have linear characteristics
  • Answer the question "What is a basis, span, or even a kernel"
  • What are matrices?,What are would operations with such creatures entail?
  • What do vectors represent and what operations do they follow
  • know about orthogonal vectors, dot products, cross products
  • think about linear transformations and projections
  • Solving differential equations with the use of matrices
  • Why do i even care about any of this stuff
Lectures
  1. Introduction Video

    Just me talking about the class. Expect the first lesson very soon!

  2. Writing Equations of Lines

    Looking at the simple guy y=mx+b

  3. Solving Two Equations At The Same Time

    Finding intersections of lines

  4. Vectors: What are they

    Vector notation, ect

  5. Vector Operations: Addition and Subtraction:

    .

  6. Dot Products

    Orthogonality, dot products, what it all means

  7. Cross Products

    .

  8. Basis and R^n

    .

  9. Matrices

    .

  10. Basic Linear Transformations

    .

  11. Determinants

    .

  12. Eignvalues

    It may seem confusing however, the purpose of doing such a thing is to simplify complex matrix multiplications into just a constant times a coulomb vector

  13. Linear Algebra and Calculus Explored (Generalized)

    .

Prerequisites
  • Know how to solve simple linear systems I.E Know that if i wrote the equation 0 = 10-x. x=10
  • Basic understanding of trigonometry and geometry

Im building from the bottom up, so there is no need for really in depth knowledge such as calculus. However it will come in hand when we get into differential equations with matrices !

Syllabus

Im guessing the class would start now? I suppose ill give my post on reddit a few more days to settle to see if we get something else. Here it is for those who are interested. Perhaps ill look towards getting this started the end of this week or start of next week? http://www.reddit.com/r/UniversityofReddit/comments/yjcjc/interestcheckofferlinearalgebra_other/

I expect to take a pretty LINEAR approach to this class :) Topics will be covered as followed

  • What are linear equations and how do vectors relate
  • Matrices, their operations, and linear transformations on vector spaces and vectors.
  • Detriments and eigenvalues (eigenshifts and eigenspaces)
  • Change of basis, how it relates to span of a matrix and its kernel
  • Linear algebra and how its a big deal in calculus

For each video i do where i present concepts i will post problems via a website (im making it right now stand by!) Where there will be questions and answers in form of pdfs. They will be hand written by me. I will probably do 3-10 problems for each concept video i do. Problems by me will be done step by step, i wont just write down an answer and be like figure out the road to get here. I expect to give interesting problems that would actually care about. I will answer emails best i can, i dont know how many people want to jump on my bandwagon here, so i dont know if there are 2 of you or 2000. Its no difference to me, however i will try my best!

Additional information

Do not be scared with what you are reading. At this moment im pretty sure you are making a chocolate fudge monkey in your pants. Dont fear future mathematician, you can do it, mathematics seems complex but its just a lot of small ideas that are crunched together in order to make something magnificent. In this course i hope to create alot of small ideas within you, that in the end will come together and you will not only have mastery over the material, but be able to think more abstractly and even create ideas on your own!

On a more personal note, i feel like mathematics is one of the most beautiful things ever created by humans as a species. It should be spread to everyone around the globe for FREE. Nothing pisses me off more, than people trying to get money out of people to teach them mathematics or the sciences. I believe that mathematics is intellectual property of all of us, and we all deserve to reap its benefits, not only the few who understand it and want money for that understanding. So i choose to share my knowledge to you all for free. The only thing i ask in return is you think about what i am presenting you and maybe one day how you could use this said knowledge to possibly change the world as we know it. I discovered this reddit university today and saw that compared to other topics there were only a few math classes,im gonna help change that. I feel like this is a good place i can reach a new audience of people who want a future in mathematics, or just see it as a hobby. I hope taking my "courses" you will gain a new level of math literacy you have not seen before. Perhaps even, dare i say it, want to learn more math gasps

Teacher qualifications

I have a A.S in computer science/mathematics, currently im working towards my masters and phd in cs/math. I am by no bounds a MIT or Stanford Professor, however im sure i can give you a new perspective on mathematics, specifically linear algebra for the time being.

Latest Update
Hello All! (2012-10-25 00:06:48)

"Hey guys, i guess im gonna have to suspend the class for now....still havent been able to locate a scanner. In terms of the notes i gave i showed you 90% of the stuff i intended to show. Only things missing was the kernel, null space and sets, which compared to previous topics are small. I thank everyone for entering the class and i hope you got something out of it. I plan in the near future to start a programming tutorial with videos (so i wont have to deal with the plight of finding a scanner) stay tuned, i will put it up on the uor subreddit. If you want to give me any positive or negative feedback just send me a message on here. Thanks everyone!"

Roster
1. ladyelize
2. neptr
3. MoreThanLuck
4. MoreThanLuck
5. LegendaryZ
6. LethalLink
7. kwiykovic
8. mailshanx
9. svraghavan
10. 253F584C
11. redwards
12. el_artista
13. Shinoki
14. tbone123
15. DIRTYBRIEFS
16. mchughr
17. rickytijerina
18. math
19. ames5
20. duobei
21. m3aga1n
22. ben7005
23. koolkalang
24. jeshinya
25. TheSnowKing
26. nikesoccer01
27. disregard_that
28. kwojcik
29. Dr_Jan-Itor
30. Burnseason
31. rbudd90
32. CDHass
33. Slatambe
34. chngr
35. donaldruok
36. woahhhface
37. Copter25
38. 0nieladb
39. Me846
40. grinning
41. johnkad
42. aanglere
43. duxmar
44. Chazward
45. Superfish
46. Darth_Ashley
47. BlackBeltBob
48. S-Skyler
49. masterchunk
50. demonslayer319
51. celestec
52. mathboss
53. Camboadge
54. twhyte92
55. ivan9284
56. felikstayson
57. abardam
58. or-whatever
59. c0Re69
60. gandalf85
61. RowanRoseHeart
62. wydell
63. cybelechild
64. matzab
65. 4thguy
66. N0tAUsername
67. bigfatyak
68. Aldrea01
69. chaos0
70. kaiserbreath
71. FlagCapper
72. madmatticus71
73. moosecaboose
74. jjanp
75. gentlemanjack
76. kebabikoning
77. mAgixWTF
78. sideoats
79. mahalo1984
80. gravitone
81. matts1213
82. just_a_tool
83. feedbach
84. alexforster12
85. quarkstar
86. Panteravaca
87. letterj
88. goldeur
89. moomin42
90. zionner
91. Skarbo
92. Mother_of_operations
93. cap_07
94. 404TrainNotFound
95. dacx
96. waterpunch
97. doomgiver98
98. RavenRick58
99. funylilman
100. rachaelfaith
101. IAmAnAardvark
102. capitalcitygiant
103. enter_hindsight
104. nullpointer_accepted
105. HiddenFlagon
106. qmal
107. loudin
108. splashattack100
109. A7an
110. Alliecat0823
111. Crimius
112. ccss
113. Xorious
114. zaq12343
115. Pseudo_Scientist
116. whomperjawed
117. loweschmidt
118. Driver1676
119. Minnfae
120. Shlldn
121. kyzic
122. mohnish
123. ZZ9PluralZAlphaTowels
124. Slayer1cell
125. xsaardo
126. thinktankjf
127. thepanthernor
128. alzy101
129. dillonjames00
130. Plebians
131. 8bitbiker
132. Toepuka
133. Ruinondd
134. bldnola
135. akagoldfish
136. kiki6y6
137. bhaff
138. PhotonPhighter
139. Maveri2k
140. supersimha
141. physicsvanawesome
142. perucho311
143. aetaric
144. abeyaar
145. xchrissypoox
146. kimvdeng
147. jiggletit
148. orangejuice982
149. bluepickles
150. estraven
151. rdm5181
152. AdamP
153. Citrinate
154. Augs
155. srbz
156. srbz
157. MichaelBishop
158. bohokelso
159. trout149
160. LambdaCDM
161. BucklessProphet
162. kapax
163. sakidw
164. elaufis
165. MokiMoki
166. savantster
167. fibonacci011235
168. hortela
169. descent_3
170. mrhobo
171. mrhobo
172. Grammr
173. timwatly
174. sw0rdz
175. Darth_Learner
176. Daveoh
177. drummergirl121
178. profryan
179. jpcrocker
180. Mewn
181. arsenicelite
182. GinSoakedShoes
183. Desley
184. aTroll
185. everhostile
186. IsucNewton
187. tuvok302
188. blackpanther501
189. jgraham124
190. PennyLane91
191. CoryandTrevorLahey
192. daisukidesuyo
193. AdamKimmerer
194. miya
195. commanderblingbling
196. sloppy421
197. awaterytart
198. hatter6822
199. elurin
200. Zero.Requiem
201. plaague
202. Anayalator702
203. lysdexic_waffle
204. blooscloos
205. IkaRos777
206. Katiesaccount
207. Zenith
208. plauro
209. Painted_Seven
210. ineptfish
211. CamrennnZ
212. continuity
213. bumper
214. antu82
215. chameleonfeet
216. menotknow
217. deaddovedonoteat
218. littleidiot
219. LitePixM
220. eadlam
221. ar002
222. Alphafain
223. alanpower
224. tomatoswoop
225. zanglang
226. richardgarciajr
227. aloserofsorts
228. joecapps1127
229. JDragon
230. Mas_Chingon
231. eiennodorei
232. noskire
233. aidenmore
234. Ourobeauros
235. Beartin
236. pandafulcolors
237. Farce
238. SkankinPickle
239. norwejew
240. Anayalator505
241. vb5247
242. PutaMadre101101101
243. Ollie64
244. infinite_series
245. jarveyboy
246. iascian
247. TheMagicPancake
248. jfoo
249. markb
250. DaZerg
251. badtimmy
252. EricoBro
253. Rlopezz
254. fizgigyoyo
255. xmlsi
256. errorcache
257. faded_spaded
258. learnstuff
259. akeroh
260. blueskiesandaerosol
261. Ancyent_Marinere
262. theradioschizo
263. tryingtolearnmath
264. rosieposieosie
265. elank18
266. liutanyu
267. arktemplar
268. wkl
269. webejebus
270. jstavro
271. reallylongusername21
272. doji
273. SolarAquarion
274. probablytom
275. lokedan
276. garnade31
277. kidorie
278. Inertia24
279. baloghr
280. elberethf
281. Axol0tl
282. matt3n8
283. TheAutomaton
284. AtlasAnimated
285. biggin215
286. 2211mg
287. motherforce
288. MedicBC
289. neverlivetosee
290. dmanww
291. retric
292. DizzyDazz123
293. earth584
294. singdawg
295. seoulless
296. ms.anthrope
297. TheKids
298. Dniki1
299. guth90
300. maverickrhetoric
301. fffuckabees
302. bluehued
303. pdg87
304. gamesallday
305. CRichelieu
306. kd7yzd
307. just_a_lerker
308. mosaicman
309. fasterhorses
310. integratedc
311. Scraendor
312. Marko_What
313. Rawfle
314. guilhermeaugusto
315. corg
316. bob000000005555
317. AHoboStripper
318. TheVoluntarist
319. TeriMcClain
320. m1218
321. northe
322. dhoops37
323. Trillian
324. Aldem
325. burbolette
326. nana_richz
327. PrayJackPok
328. allachris
329. 55five55
330. jkeyz42
331. 9489
332. pvejunky12
333. sishgahh
334. federerer
335. Heraclit
336. grlldcheese
337. Xuxi
338. jboyes11
339. eulersphi
340. harrelious
341. Forestal
342. fugglor
343. Skyflier0
344. drincker
345. SCVready
346. wlf
347. pathway27
348. dryerlint
349. baby.k008
350. TheDoucheyKnight
351. IonGyth
352. Mystique
353. wlfoley
354. omedusyo
355. fozess
356. flummoxy
357. pris06
358. redditorinchief
359. Janus
360. zomblake
361. kobilirenko
362. gussy1z
363. omar_a_rodriguez
364. LGordon2
365. NeuTron
366. danait
367. karowli
368. zurflibd
369. iiguana69
370. iwanttolearnmaths
371. chello
372. thoth_chick
373. axey89
374. bovisrex
375. xrg
376. swilltastic
377. Bovxo
378. stindavison
379. acost22d
380. Budzoli
381. unhealthynoms
382. germancz81
383. trevormccormick
384. ThomasM
385. adbx
386. NerdyFTW
387. sniperslevin
388. LiTe
389. jen111mac
390. cascasken
391. morpheo
392. henryforprez
393. Will
394. rozzer
395. nirav
396. Childplay
397. Vinet
398. mikeypuff
399. AnalyzeMyCircuit
400. ontheheap
401. palutz
402. inertia
403. lgencko
404. carrythefire
405. EvilKettle
406. kripposoft
407. xkjc
408. skyskimmer
409. eckrause
410. riversfan17
411. tsudonihm
412. CyphaDoom
413. sseitzde
414. afuckingavocado
415. sumguysr
416. claudiney
417. cfred14
418. armoul
419. wsankey
420. bhuwan
421. heeya
422. stevencat
423. Deltrus
424. chumofchance
425. hitnrun7
426. MathsLover
427. SandBoxKing
428. Themcman
429. konyismydad
430. mdianne
431. federer
432. NotSoFastSocrates
433. -________________-
434. franelpana
435. MangoKulfi
436. wecn
437. nhx
438. Duckykk
439. koreanpopstar
440. schmeirik
441. JohnLobo
442. DweadPiwateWobewts
443. Dundreggen
444. Teksis
445. Dae
446. deepze
447. Bossjack
448. eeprou
449. A_Dark_Knight
450. wasif_hyder
451. pcza
452. Malpaso
453. basetw0
454. pavs
455. amslt
456. larrylemur
457. yamane10
458. klobb
459. fatosholgacher
460. coldSauce
461. yapanese
462. aidsy
463. weaselstomp
464. amc94
465. learnin-stuff
466. rovar
467. glitchmeister
468. rkwan
469. jonostilla
470. brainstorm42
471. porpoises
472. Catalanist
473. Sonicdude41
474. Muhkuh
475. Ophashias
476. tribbettz
477. maromus
478. phro
479. AnnonMerritt
480. DVLearns
481. buyinsurance
482. reticulated_python
483. Corosis
484. fattybake
485. cedhech
486. onuronur
487. Badabadabingbong
488. inspiredKID
489. nominal-ascertainment
490. jbstate
491. CColeSV07
492. leia.n.w.
493. dinosaur_porkchop
494. filmnoira
495. rayz0101
496. shjordan
497. ja269
498. dstilwell
499. mvpxv
500. jumi99
501. kmate25
502. Anaz801
503. allxk
504. attomicpunk
505. snaiperskaya
506. Flame_Alchemist
507. Ozzo
508. howlerwolf1313
509. Snacks_Meridian
510. zephyrionitis
511. sandrolivaja
512. chiwakii
513. caucasninvasion
514. NeedsToLearn
515. Snarik
516. mscurlz
517. luizpegz
518. veganskeptic
519. franceskaye
520. s1cko
521. ccz918
522. punchandcookies
523. Genki-sama
524. ikeamoah
525. Pythagotron
526. jmann314
527. gdelia
528. mattylee
529. insanity1337
530. proteanbeing
531. GxL
532. shogun21
533. uristmcdwarf
534. Jsk2003
535. steeve149
536. denovotny
537. tenoman
538. bramhimself
539. spookyfox
540. WiseSarah
541. dclancy
542. ahnakel
543. faeruss
544. Campers
545. rags_to_bitches
546. kangaroorob
547. zinc1908
548. sealth12345
549. freereflection
550. gayds
551. tobislu
552. invokee
553. KitaKumo
554. toranzo
555. Zoccihedron
556. jzm5c
557. txcomet
558. The_Red_Snake2
559. ppdk
560. LudovicLupus
561. Feren
562. Physics101
563. ortizesp
564. ashessnow
565. Darkazdude
566. Thehunger
567. Cuzfemthatsy
568. alltheearth
569. Sagen
570. ItsAllUBro
571. 514_
572. j12d
573. miloscz1
574. xieyusi
575. geoteo
576. aew782
577. hell_yeah_enchiladas
578. 007
579. socket4
580. last_name_on_reddit
581. kevstew
582. dsgn09
583. porpoise
584. kmears1
585. thebiglachovsky
586. sarahdactyl
587. mr_filip
588. Oliver-Michael
589. msturkleton
590. lotsofideas
591. stewartbutler
592. armandoalvarez1234
593. persona24
594. atc
595. unknown11
596. moenster
597. ams785
598. luihk
599. nicholman
600. agentlime
601. oberyn
602. ifiokjr
603. Xerbeas
604. boompat
605. ShadeShiner
606. jigglypuff_apnea
607. killiano92
608. uberyoshi
609. down_by_law
610. LindyLove
611. cpryby
612. theansweris7
613. patrickvk
614. chadadams86
615. pippal
616. spencerutt
617. Futurephysicist
618. sunup
619. arbor_monkey
620. johnthefreeman1
621. mr_noda
622. BodySnatcher
623. arnolzz
624. Witten
625. highpockets43
626. B3D
627. cheddardog
628. alethiometryst
629. do_you_hate_me
630. RoonilWaslib
631. LuminalZero
632. mahnax
633. TheWizard
634. Krakenz
635. jmilesporter
636. nublord
637. jcrubino
638. bakednoodle
639. jmlong94
640. hedgeowl
641. Zinu
642. Sonderling
643. danielsouza1985
644. acasadonte
645. jnlatimore
646. smkhalsa
647. jweesner2010
648. mepat1111
649. AmundsenJunior
650. phoenix17
651. Noxah
652. ickhatib
653. sin4life
654. kristur
655. Td_inabox
656. ballooninging
657. llamazv2
658. rararandy
659. PGirl
660. ThinkTank
661. Mennoknight
662. kernivore
663. simple_song
664. smeleanor
665. sanktova
666. jinglebells
667. muzuka
668. doveshampoo
669. pickles46
670. Dr.Doctor
671. ForeignKeys
672. ikol
673. dataversion
674. tzakyrie
675. Scholar_of_Sarcasm
676. jaredks
677. DreamoftheEndless
678. vfb1210
679. crabbington
680. truaoga
681. IJWilliams
682. trevbox
683. davess
684. Sethionic
685. Silentrade
686. SkillKillPhil
687. SeriousJope
688. lovett
689. migelm
690. Jafranck2
691. bing1234five
692. trdant
693. joecurt85
694. camyvedder
695. subliminalj
696. eponynonymous
697. cadcock61
698. soulofwren
699. aayon28
700. Ndhappy
701. chiefkikio
702. casablunka
703. LuminiferousEther
704. pkleinmaier
705. gnuhcikciv
706. nickthecreator
707. rellonaut
708. josephrsmith
709. zacharymax
710. dalsgaard
711. taskari
712. Velvetine
713. wekele
714. magtux
715. dynomighty
716. praneeth
717. harrypotter4258
718. EDSGD
719. StarJas9
720. TidalRage
721. hello_miffy
722. fatsho
723. Idam
724. InSuspense
725. peanuts
726. nathanp
727. insertfunnynamehere
728. Trkrtrk
729. ThBlkBlzr
730. zaurefirem
731. almondbutter
732. crazyjaf
733. Chefboom
734. fuchsy44
735. Somatostatin
736. Omnimancer
737. Wachtwoord
738. qzpmwxin
739. mileryenman
740. Derasi
741. wakawaka187
742. blackrage54
743. mr_oink
744. thebasayou
745. Leywen
746. neumann
747. MondiWannd
748. madeofmolecules
749. Helldalgo
750. Cree8ive
751. manofsea
752. cyllaran
753. saputello
754. ollykapow
755. calsutmoran
756. luxembro
757. KNN2013
758. Xirdie
759. NotOneFoxGiven
760. funkyman94
761. XAzurestormX
762. haisuli
763. Perspeculate
764. chasesan
765. qetisk
766. vane505
767. evilgui
768. llcooldre
769. mathit
770. bulletford
771. holz55
772. GGMUDarc
773. ctwiz
774. c_anderson1390
775. bebensiganteng
776. etzhadaat
777. clembo99
778. hoptitude
779. somehokie
780. jyu197
781. gaolathe
782. Paulkaryote
783. PhantomSh4dow
784. rc_1277
785. applesandplums
786. wacholder
787. Apollo75
788. experimentalad
789. KellyCox
790. hraithe
791. behyeefatt
792. blitzkrieg44
793. Akeogh33
794. chiminage
795. EmperorOfCanada
796. shalombi
797. snuffleupasaurus
798. pydroid