# COMPSCI/ISYE 727: Convex Analysis | UW–Madison [View on UW Courses](https://uwcourses.com/courses/COMPSCI_ISYE_727) ## Dataset ### revision e243353dcb7d79b7247ced91d69443ef4c2a6349 ### repository twangodev/uwcourses ### schema version 6 ### importer version 7 ### projection id 52a78527ff09011d88cb04c7d43867d9fbfec2930bf1dd2ec359ebd2844e0b07 ### observed at 2026-09-07T15:55:43.033547+00:00 ### built at 2026-09-10T19:50:42.743001+00:00 ### courses 8951 ### current instructors 5754 ### limited false ### terms * 1272 * 1264 * 1262 * 1254 * 1252 * 1244 * 1242 * 1234 * 1232 * 1224 * 1222 * 1212 * 1204 * 1202 * 1194 * 1192 * 1184 * 1182 * 1174 * 1172 * 1164 * 1162 * 1154 * 1152 * 1144 * 1142 * 1134 * 1132 * 1124 * 1122 * 1114 * 1112 * 1104 * 1102 * 1094 * 1092 * 1084 * 1082 * 1074 * 1072 ### term 1272 ### departments | subject | count | | --------- | ----- | | AAE | 90 | | ABT | 20 | | ACCTIS | 36 | | ACTSCI | 14 | | AFAERO | 10 | | AFRICAN | 87 | | AFROAMER | 71 | | AGROECOL | 21 | | AMERIND | 53 | | ANAT\&PHY | 7 | | ANATOMY | 2 | | ANESTHES | 8 | | ANSCI | 57 | | ANTHRO | 95 | | ART | 125 | | ARTED | 10 | | ARTHIST | 121 | | ASIALANG | 129 | | ASIAN | 109 | | ASIANAM | 28 | | ASTRON | 38 | | ATMOCN | 69 | | BIOCHEM | 51 | | BIOCORE | 10 | | BIOLOGY | 14 | | BIOMDSCI | 18 | | BME | 66 | | BMI | 41 | | BMOLCHEM | 10 | | BOTANY | 69 | | BSE | 44 | | C\&ESOC | 73 | | CBE | 48 | | CHEM | 101 | | CHICLA | 52 | | CIVENGR | 133 | | CLASSICS | 47 | | CNP | 10 | | CNSRSCI | 50 | | COMARTS | 137 | | COMPBIO | 15 | | COMPLIT | 11 | | COMPSCI | 138 | | COUNPSY | 78 | | CRB | 19 | | CS\&D | 71 | | CSCS | 40 | | CURRIC | 193 | | DANCE | 93 | | DERM | 8 | | DS | 88 | | DYSCI | 35 | | ECE | 155 | | ECON | 145 | | EDPOL | 114 | | EDPSYCH | 97 | | ELPA | 70 | | EMA | 53 | | EMERMED | 17 | | ENGL | 206 | | ENTOM | 40 | | ENVIRST | 148 | | EP | 15 | | EPD | 67 | | ESL | 16 | | F\&WECOL | 60 | | FAMMED | 22 | | FINANCE | 50 | | FOLKLORE | 40 | | FOODSCI | 43 | | FRENCH | 63 | | GEN\&WS | 145 | | GENBUS | 72 | | GENECSLR | 17 | | GENETICS | 60 | | GEOG | 113 | | GEOSCI | 83 | | GERMAN | 82 | | GLE | 48 | | GNS | 38 | | GREEK | 27 | | HDFS | 41 | | HEBR-BIB | 13 | | HEBR-MOD | 10 | | HISTORY | 233 | | HISTSCI | 56 | | HONCOL | 13 | | ILS | 43 | | INFOSYS | 9 | | INTEGART | 7 | | INTEGSCI | 22 | | INTER-AG | 18 | | INTER-HE | 11 | | INTER-LS | 22 | | INTEREGR | 16 | | INTLBUS | 21 | | INTLST | 50 | | ISYE | 83 | | ITALIAN | 53 | | JEWISH | 56 | | JOURN | 88 | | KINES | 128 | | LACIS | 26 | | LANDARC | 61 | | LATIN | 24 | | LAW | 120 | | LEGALST | 48 | | LINGUIS | 35 | | LIS | 89 | | LITTRANS | 78 | | LSC | 52 | | M\&ENVTOX | 7 | | MARKETNG | 62 | | MATH | 153 | | MDGENET | 8 | | ME | 130 | | MEDHIST | 43 | | MEDICINE | 60 | | MEDIEVAL | 32 | | MEDPHYS | 39 | | MEDSC-M | 29 | | MEDSC-V | 41 | | MHR | 68 | | MICROBIO | 45 | | MILSCI | 16 | | MM\&I | 22 | | MOLBIOL | 6 | | MS\&E | 59 | | MUSIC | 165 | | MUSPERF | 126 | | NAVSCI | 20 | | NE | 44 | | NEURODPT | 11 | | NEUROL | 7 | | NEURSURG | 4 | | NTP | 11 | | NURSING | 111 | | NUTRSCI | 65 | | OBS\&GYN | 18 | | OCCTHER | 39 | | ONCOLOGY | 14 | | OPHTHALM | 5 | | OTM | 43 | | PATH | 34 | | PATH-BIO | 29 | | PEDIAT | 26 | | PHARMACY | 31 | | PHILOS | 77 | | PHMCOL-M | 11 | | PHMPRAC | 45 | | PHMSCI | 60 | | PHYASST | 37 | | PHYSICS | 88 | | PHYSIOL | 3 | | PHYTHER | 37 | | PLANTSCI | 52 | | PLPATH | 35 | | POLISCI | 192 | | POPHLTH | 58 | | PORTUG | 33 | | PSYCH | 101 | | PSYCHIAT | 22 | | PUBAFFR | 54 | | PUBLHLTH | 23 | | RADIOL | 11 | | REALEST | 41 | | RELIGST | 90 | | RHABMED | 9 | | RMI | 24 | | RP\&SE | 102 | | S\&APHM | 17 | | SCANDST | 73 | | SLAVIC | 89 | | SOC | 149 | | SOCWORK | 87 | | SOILSCI | 46 | | SPANISH | 83 | | SRMED | 21 | | STAT | 94 | | STDYABRD | 52 | | STS | 8 | | SURGERY | 25 | | SURGSCI | 33 | | THEATRE | 91 | | URBRPL | 60 | | UROLOGY | 5 | | ZOOLOGY | 89 | ## course ### run id 20260907T155543-ce3781c4 ### semester 1272 ### observed at 2026-09-07 15:55:43.033547+00:00 ### record version id 0a21b5fb255c3ed2021163f5326a876a322b0c8967c16ebb51500053290f7046 ### course id COMPSCI/ISYE 727 ### course uid course\_37d0dd47458f2474a7c418f7 ### catalog version id d61bc19cd1371b9bfa0fdaa0d05f2ebec6aaa7f1112b5b1677fa7ae1bce8b733 ### course number 727 ### subjects * COMPSCI * ISYE ### title CONVEX ANALYSIS ### description Convex sets in finite-dimensional spaces: relative interiors, separation, set operations. Convex functions: conjugacy, subdifferentials and directional derivations, functional operations, Fenchel-Rockafellar duality. Applications to operations research and related areas. Students taking this course are strongly encouraged to have had a course in basic analysis (e.g.MATH 521) and a course in linear algebra (e.g.,MATH 340). ### requirements text Graduate/professional standing ### credits min 3 ### credits max 3 ### credit offering ids * 1272:266:004315 * 1272:490:004315 ### llm job id enrich-8b774950c2b6adfdc46d1b82 ### llm output id 93038f9e6d69c7b0d80f2d1e68129fe09cf03cf2a584d420ad52bcb64f00cba2 ### llm model nvidia/Qwen3.6-35B-A3B-NVFP4 ### llm model revision 1355db6a052410cfd62085d94b58866fd0f2c3c5 ### llm task version 14 ### llm search status valid ### llm summary Study of convex sets, functions, and duality with applications to operations research. ### llm topics * Convex sets and separation * Convex functions and duality ### llm skills * Understanding convex sets and operations * Analyzing convex functions and duality * Applying convex analysis to operations research ### llm assumed background * Basic analysis and linear algebra * Graduate or professional standing ### llm search phrases * convex analysis optimization * convex sets functions duality * operations research convexity * MATH 521 MATH 340 prerequisites ### llm requirements status valid ### llm student summary status valid ### llm experience status insufficient\_evidence ### catalog variants None recorded. ### student summary #### context hash 816a6c9c24a9510fc93896ee7e20041b08a22c5d518a0a3e6230873d9649e555 #### course id COMPSCI/ISYE 727 #### current instructors ```json [ { "instructor_uid": "instructor_307c5a1e319a93016cfbb8d3", "message": "No course-specific reviews available", "name": "Yudong Chen", "review_status": "no_course_reviews", "rmp_instructor_id": "rmp:3057885", "summary": [] } ] ``` #### difficulty workload None recorded. #### errors None recorded. #### historical context None recorded. #### message No course-specific reviews available #### offered true #### profile hash 5cb4dabf887cdbcd8c00d5a1312e10828b95c63f30bc3ea76aea199565390d02 #### quick 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], "a": 4, "ab": 2, "b": 2, "bc": 0, "c": 0, "d": 0, "f": 0, "satisfactory": 1, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 9, "source_aliases": [ "COMPSCI/ISYE 727" ] } ] ``` ### statistics #### gpa 3.87 #### graded 123 #### counts * 108 * 7 * 5 * 1 * 1 * 0 * 1 ### grade conflicts None recorded. ### evidence #### history * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_37d0dd47458f2474a7c418f7-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_37d0dd47458f2474a7c418f7-0.json) #### traces * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_37d0dd47458f2474a7c418f7-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_37d0dd47458f2474a7c418f7-0.json) #### meetings * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/meetings/course\_37d0dd47458f2474a7c418f7-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/meetings/course_37d0dd47458f2474a7c418f7-0.json) #### results * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_37d0dd47458f2474a7c418f7-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_37d0dd47458f2474a7c418f7-0.json) ### revision e243353dcb7d79b7247ced91d69443ef4c2a6349 ## context ### all #### term #### gpa 3.869918699186992 #### count 123 #### university ##### size 3586 ##### gpa Percentile 75 ##### count Percentile 48 ##### median Count 129 ##### histogram | range | count | current | | ------- | ----- | ------- | | 0.0–0.4 | 0 | false | | 0.4–0.8 | 0 | false | | 0.8–1.2 | 0 | false | | 1.2–1.6 | 0 | false | | 1.6–2.0 | 0 | false | | 2.0–2.4 | 0 | false | | 2.4–2.8 | 14 | false | | 2.8–3.2 | 339 | false | | 3.2–3.6 | 1090 | false | | 3.6–4.0 | 2143 | true | #### departments ```json [ { "subject": "COMPSCI", "comparison": { "size": 88, "gpaPercentile": 86, "countPercentile": 31, "medianCount": 266, "histogram": [ { "range": "0.0–0.4", "count": 0, "current": false }, { "range": "0.4–0.8", "count": 0, "current": false }, { "range": "0.8–1.2", "count": 0, "current": false }, { "range": "1.2–1.6", "count": 0, "current": false }, { "range": "1.6–2.0", "count": 0, "current": false }, { "range": "2.0–2.4", "count": 0, "current": false }, { "range": "2.4–2.8", "count": 1, "current": false }, { "range": "2.8–3.2", "count": 17, "current": false }, { "range": "3.2–3.6", "count": 26, "current": false }, { "range": "3.6–4.0", "count": 44, "current": true } ] } }, { "subject": "ISYE", "comparison": { "size": 47, "gpaPercentile": 70, "countPercentile": 39, "medianCount": 153, "histogram": [ { "range": "0.0–0.4", "count": 0, "current": false }, { "range": "0.4–0.8", "count": 0, "current": false }, { "range": "0.8–1.2", "count": 0, "current": false }, { "range": "1.2–1.6", "count": 0, "current": false }, { "range": "1.6–2.0", "count": 0, "current": false }, { "range": "2.0–2.4", "count": 0, "current": false }, { "range": "2.4–2.8", "count": 0, "current": false }, { "range": "2.8–3.2", "count": 4, "current": false }, { "range": "3.2–3.6", "count": 11, "current": false }, { "range": "3.6–4.0", "count": 32, "current": true } ] } } ] ``` ### terms #### 1112 ##### term 1112 ##### gpa 3.875 ##### count 4 ##### departments | subject | comparison | | ------- | ---------- | | COMPSCI | | | ISYE | | #### 1132 ##### term 1132 ##### gpa 3.3333333333333335 ##### count 9 ##### departments | subject | comparison | | ------- | ---------- | | COMPSCI | | | ISYE | | #### 1152 ##### term 1152 ##### gpa 3.8333333333333335 ##### count 15 ##### departments | subject | comparison | | ------- | ---------- | | COMPSCI | | | ISYE | | #### 1162 ##### term 1162 ##### gpa 3.75 ##### count 6 ##### departments | subject | comparison | | ------- | ---------- | | COMPSCI | | | ISYE | | #### 1172 ##### term 1172 ##### gpa 4 ##### count 12 ##### departments | subject | comparison | | ------- | ---------- | | COMPSCI | | | ISYE | | #### 1182 ##### term 1182 ##### gpa 3.973684210526316 ##### count 19 ##### departments | subject | comparison | | ------- | ---------- | | COMPSCI | | | ISYE | | #### 1192 ##### term 1192 ##### gpa 3.911764705882353 ##### count 17 ##### departments | subject | comparison | | ------- | ---------- | | COMPSCI | | | ISYE | | #### 1202 ##### term 1202 ##### gpa 3.975 ##### count 20 ##### departments | subject | comparison | | ------- | ---------- | | COMPSCI | | | ISYE | | #### 1212 ##### term 1212 ##### gpa 4 ##### count 13 ##### departments | subject | comparison | | ------- | ---------- | | COMPSCI | | | ISYE | | #### 1254 ##### term 1254 ##### gpa 3.625 ##### count 8 ##### departments | subject | comparison | | ------- | ---------- | | COMPSCI | | | ISYE | | ### benchmarks #### all ##### school ###### size 3586 ###### gpa 3.6299250758595307 ###### top Share 80.02574218803055 ###### count 129 ##### COMPSCI ###### size 88 ###### gpa 3.5278707091760926 ###### top Share 74.46517126321773 ###### count 266 ##### ISYE ###### size 47 ###### gpa 3.68752535182467 ###### top Share 84.14220633305281 ###### count 153 #### terms ##### 1092 ###### school ###### size 732 ###### gpa 3.374660709520374 ###### top Share 63.690339324346596 ###### count 70 ###### COMPSCI ###### size 16 ###### gpa 3.14888347660136 ###### top Share 52.49548911325188 ###### count 66.5 ##### 1112 ###### school ###### size 805 ###### gpa 3.3737773184830386 ###### top Share 63.91039244872789 ###### count 66 ###### COMPSCI ###### size 27 ###### gpa 3.2907039795974518 ###### top Share 61.485726181424475 ###### count 41 ###### ISYE ###### size 14 ###### gpa 3.4635739499944935 ###### top Share 68.36302861386832 ###### count 40 ##### 1132 ###### school ###### size 851 ###### gpa 3.391128778809763 ###### top Share 64.69509437122704 ###### count 66 ###### COMPSCI ###### size 23 ###### gpa 3.2325357852525465 ###### top Share 57.33650851473996 ###### count 56 ###### ISYE ###### size 16 ###### gpa 3.5364049773931505 ###### top Share 75.22354524793886 ###### count 40 ##### 1152 ###### school ###### size 918 ###### gpa 3.408733538594633 ###### top Share 66.06693005846735 ###### count 65 ###### COMPSCI ###### size 30 ###### gpa 3.3169698368361287 ###### top Share 64.20051564737066 ###### count 48.5 ###### ISYE ###### size 17 ###### gpa 3.4850179961463574 ###### top Share 73.7876204102473 ###### count 47 ##### 1162 ###### school ###### size 954 ###### gpa 3.43726781345039 ###### top Share 68.05645304987395 ###### count 64.5 ###### COMPSCI ###### size 35 ###### gpa 3.3323013900568625 ###### top Share 63.38685451839816 ###### count 56 ###### ISYE ###### size 17 ###### gpa 3.5725128229421537 ###### top Share 76.66908174242778 ###### count 47 ##### 1172 ###### school ###### size 991 ###### gpa 3.465129042641772 ###### top Share 69.42600667567366 ###### count 67 ###### COMPSCI ###### size 31 ###### gpa 3.3325489227746874 ###### top Share 61.97665055034616 ###### count 74 ###### ISYE ###### size 20 ###### gpa 3.62282118668902 ###### top Share 80.8712827496802 ###### count 49 ##### 1182 ###### school ###### size 1025 ###### gpa 3.474159360325319 ###### top Share 70.34861441764347 ###### count 69 ###### COMPSCI ###### size 36 ###### gpa 3.352907303323745 ###### top Share 63.88103454195665 ###### count 90.5 ###### ISYE ###### size 20 ###### gpa 3.623137975768555 ###### top Share 79.85162329939513 ###### count 64 ##### 1192 ###### school ###### size 1077 ###### gpa 3.50327634323125 ###### top Share 72.44641925727845 ###### count 67 ###### COMPSCI ###### size 38 ###### gpa 3.3453717241366854 ###### top Share 64.2917310505246 ###### count 95.5 ###### ISYE ###### size 21 ###### gpa 3.606250714862031 ###### top Share 80.36295437587276 ###### count 66 ##### 1202 ###### school ###### size 1102 ###### gpa 3.5102605987403313 ###### top Share 72.78244569053733 ###### count 68 ###### COMPSCI ###### size 41 ###### gpa 3.3598624373657553 ###### top Share 65.26544910639922 ###### count 91 ###### ISYE ###### size 20 ###### gpa 3.5732402503094702 ###### top Share 77.47106780381264 ###### count 60.5 ##### 1212 ###### school ###### size 1111 ###### gpa 3.5856416028074487 ###### top Share 77.58926748660845 ###### count 68 ###### COMPSCI ###### size 42 ###### gpa 3.450396020252364 ###### top Share 69.90950224603134 ###### count 96 ###### ISYE ###### size 20 ###### gpa 3.6720523848313853 ###### top Share 82.3691054858035 ###### count 63 ##### 1254 ###### school ###### size 1289 ###### gpa 3.6126423469389106 ###### top Share 79.48050408754871 ###### count 66 ###### COMPSCI ###### size 52 ###### gpa 3.482652727664103 ###### top Share 71.33786483648515 ###### count 105 ###### ISYE ###### size 22 ###### gpa 3.6580253054677003 ###### top Share 83.06204049789541 ###### count 58 ## instructor Trends ```json [ { "uid": "instructor_927f3682fcf21e857230442c", "name": "STEPHEN MICHAEL ROBINSON", "count": 115, "terms": [ { "term": "1112", "count": 4, "sections": 1, "gpa": 3.875 }, { "term": "1132", "count": 9, "sections": 1, "gpa": 3.3333333333333335 }, { "term": "1152", "count": 15, "sections": 1, "gpa": 3.8333333333333335 }, { "term": "1162", "count": 6, "sections": 1, "gpa": 3.75 }, { "term": "1172", "count": 12, "sections": 1, "gpa": 4 }, { "term": "1182", "count": 19, "sections": 1, "gpa": 3.973684210526316 }, { "term": "1192", "count": 17, "sections": 1, "gpa": 3.911764705882353 }, { "term": "1202", "count": 20, "sections": 1, "gpa": 3.975 }, { "term": "1212", "count": 13, "sections": 1, "gpa": 4 } ] }, { "uid": "instructor_b2b79e8f7cf2014ccc109e83", "name": "MICHAEL FERRIS", "count": 8, "terms": [ { "term": "1254", "count": 8, "sections": 1, "gpa": 3.625 } ] } ] ``` ## following None recorded.