-1+1206 
Measure Theory and Lebesgue Integration

In most calculus courses, students are taught the theory of Riemann Integration. Although very useful, the Riemann integral has a number of shortcomings that can make it difficult/impossible to work with. In this course, we construct the Lebesgue integral and the measure-theoretic machinery that powers it.

Prerequisites

Preferably, a first course in analysis covering Riemann/ Riemann-Stieltjes. However, Calculus 1-2 and grasp of metric topology should suffice.

Syllabus

The syllabus will be uploaded to the class page.

Additional information
none
Teacher qualifications
not given
Roster
1. kame3d
2. proudhon
3. EroticLion
4. asap18
5. Peter
6. Bombheart
7. justincredulous
8. boxfire
9. derlavai
10. rjloafer
11. hoens
12. AugusteDupin
13. Trigonal
14. mathwiz1991
15. utz
16. iDante
17. bag_el
18. DiggV4Sucks
19. LiveBackwards
20. squishydoom
21. reeve512
22. gwylim
23. shriek
24. snippet
25. Faronel
26. greyradio
27. MisterElk
28. lumpusjumpus
29. sensical
30. boredresearchstudent
31. lemniscate
32. lemniscate
33. _dp_
34. substrate
35. jmert
36. svb
37. jeff0
38. dingleking
39. nicksauce
40. Nova_Division
41. world_citizen
42. dwheezy
43. sre9981
44. Micali
45. daswerth
46. jwbowen
47. freudisfail
48. iamstrange14
49. Wolt
50. liberalkid
51. hobojoe789
52. atomicmonkey
53. bejitunksu
54. managore
55. JFoss117
56. zayd
57. ntr0p3
58. doombadeedoom
59. SnipedYou
60. oltreuomo
61. mathguy314
62. troberts
63. d_e_solomon
64. NewbieProgrammerMan
65. czernebog
66. nefariouspanda
67. NicestBoat
68. mathijshenquet
69. charles8736
70. bradshjg
71. ViciousChicken
72. Dr_Wizard
73. scibuff
74. sschoen
75. rakalakalili
76. JohnMCD
77. 21q22
78. spaknoj
79. sabauma
80. radq
81. vanquish
82. wrcahns
83. pipesthepipes
84. Wapook
85. duckymoo
86. doptimusdx
87. smernge
88. Incoherent_Innuendo
89. didsomeonesay
90. cheesetoots
91. Rockdtben
92. sweetlouiep
93. mvppure
94. zoot
95. kopaka649
96. jamiiecb
97. meanruse
98. meanruse
99. MrSynth
100. kartagia
101. Bau-Bau
102. Noodled9
103. OU405
104. spotta
105. menezdm
106. Isonoe
107. doppledog
108. sinckyle
109. lolwutomgbbq
110. ziltoid23
111. dbennett101010
112. lasae
113. binnisb
114. binnisb
115. rugburn06
116. pablo7
117. Ellzington
118. brownck
119. SupItUp
120. bwhatch
121. geoffhotchkiss
122. old_gym_shoes
123. bdhe
124. gtmagician
125. arbys_macht_fries
126. ThurstonForMayor
127. biopower
128. kortox
129. goodgrue
130. Bugatti
131. Traidon
132. jambert
133. edf825
134. LivingLegend411
135. tlonuqbar
136. inutard
137. Gadget3440
138. pervycreeper
139. paragon12321
140. tpb2
141. Ipvpsand
142. squabeo32
143. DK24
144. sharonsoo
145. rrbm823
146. randytan
147. kusari
148. dgmoc1
149. TellMeYMrBlueSky
150. a785236
151. gambs
152. selftitled
153. goldayce
154. thinkdead
155. jmblock2
156. mopho12
157. sethborders
158. jams
159. mikaelq
160. ZeroCardinality
161. laprastransform
162. redsb7
163. Tenku
164. verxix
165. elexhobby
166. Calamitizer
167. Spencer22
168. letmefinish
169. johnthetallguy
170. TroubleCatJones
171. random_knowledge
172. qed
173. lu6cifer
174. qntgdallas
175. Nightriser
176. partlycloudy
177. tactfulradio
178. 101student101
179. fredsharesworth
180. abroms
181. pwizard
182. trobertson
183. nillacat
184. coffeemug
185. Johnny-Stu
186. brahe683
187. vardhan
188. gwm9
189. sameerg
190. adoarns
191. sumguysr
192. tylertennisman
193. RONNCC
194. AppleJacks24
195. spiffai
196. mathsuu
197. Hanwolo
198. mtal
199. quadrobust
200. lundefugl
201. batmuffino
202. bfr
203. coolsmith3991