# MATH 735: Stochastic Analysis | UW–Madison [View on UW Courses](https://uwcourses.com/courses/MATH_735) ## 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 ee8bfc9c28ead57b0e22976dec7e29d8205f2758064606445803b1ea30b75a8f ### course id MATH 735 ### course uid course\_e2a2872f383f3f4807c566c0 ### catalog version id f5f5b49fc3c56d48bdb802257e9044fdf4c8ef9a11d8398d50e60294fa7d4134 ### course number 735 ### subjects * MATH ### title STOCHASTIC ANALYSIS ### description Foundations of continuous time stochastic processes, semimartingales and the semimartingale integral, Ito's formula, stochastic differential equations, stochastic equations for Markov processes, application in finance, filtering, and control. The course relies on measure theoretic probability theory that can be reviewed at the beginning of the semester. ### requirements text Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program ### credit offering ids None recorded. ### llm job id enrich-8b774950c2b6adfdc46d1b82 ### llm output id 4e410ca780b9be381641db6ba657f589ba4af9b8829668cab84a46cc5407bede ### llm model nvidia/Qwen3.6-35B-A3B-NVFP4 ### llm model revision 1355db6a052410cfd62085d94b58866fd0f2c3c5 ### llm task version 14 ### llm search status valid ### llm summary MATH 735 covers stochastic analysis, focusing on semimartingales, Ito's formula, and stochastic differential equations with applications in finance and control. ### llm topics * Continuous time stochastic processes and semimartingales * Ito's formula and stochastic differential equations * Applications in finance, filtering, and control ### llm skills * Understanding continuous time stochastic processes and semimartingales * Applying stochastic methods to finance, filtering, and control ### llm assumed background * Measure theoretic probability theory ### llm search phrases * stochastic analysis * stochastic differential equations * Ito's formula * semimartingales * measure theoretic probability ### llm requirements status valid ### llm student summary status valid ### llm experience status insufficient\_evidence ### catalog variants None recorded. ### student summary #### context hash 239e47a80ef6bc099dc1fe8da556f852057ad686fe68215f7c2013ff317fa526 #### course id MATH 735 #### current instructors None recorded. #### difficulty workload None recorded. #### errors None recorded. #### historical context None recorded. #### message No course-specific reviews available #### offered false #### profile hash 5cb4dabf887cdbcd8c00d5a1312e10828b95c63f30bc3ea76aea199565390d02 #### quick take Recent recorded grades — Fall 2020: 3.90 GPA, 94.3% A/AB (n=35 letter grades); Fall 2022: 4.00 GPA, 100.0% A/AB (n=18 letter grades); Fall 2024: 3.47 GPA, 73.7% A/AB (n=19 letter grades). ```json { "citations": [ { "course_id": "MATH 735", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "16cb92e6-67af-375a-a9d0-cae4cf22b2c2", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "grades_latest", "term_id": "1212", "type": "grade" }, { "course_id": "MATH 735", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "16cb92e6-67af-375a-a9d0-cae4cf22b2c2", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "grades_latest", "term_id": "1232", "type": "grade" }, { "course_id": "MATH 735", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "16cb92e6-67af-375a-a9d0-cae4cf22b2c2", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "grades_latest", "term_id": "1252", "type": "grade" } ] } ``` #### student experience None recorded. #### task hash 74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68 #### teaching history None recorded. #### term id 1272 #### term name 2026 Fall #### version 2 ### requirements #### nodes ```json [ { "children": [ "n1", "n2" ], "condition": null, "course": null, "evidence": "Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program", "id": "n0", "kind": "any" }, { "children": [], "condition": "Graduate/professional standing", "course": null, "evidence": "Graduate/professional standing", "id": "n1", "kind": "condition" }, { "children": [], "condition": "member of the Pre-Masters Mathematics (Visiting International) Program", "course": null, "evidence": "member of the Pre-Masters Mathematics (Visiting International) Program", "id": "n2", "kind": "condition" } ] ``` #### notes None recorded. #### root n0 #### status parsed ### instructors None recorded. ### offerings None recorded. ### sections None recorded. ### grade instructors ```json [ { "instructor_uid": "instructor_0eef5fd9bbc2212e9f6abe3b", "source": "madgrades", "source_instructor_id": "2601039", "identity_basis": "source_id", "identity_status": "source_identified", "name": "THOMAS G. 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KURTZ" ], "a": 14, "ab": 3, "b": 3, "bc": 0, "c": 0, "d": 0, "f": 0, "satisfactory": 2, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 22, "source_aliases": [ "MATH 735" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 735", "course_uid": "course_e2a2872f383f3f4807c566c0", "term_id": "1112", "term_name": "Fall 2010", "instructors": [ "Timo Seppalainen" ], "a": 15, "ab": 3, "b": 2, "bc": 0, "c": 0, "d": 0, "f": 0, "satisfactory": 2, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 22, "source_aliases": [ "MATH 735" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 735", "course_uid": "course_e2a2872f383f3f4807c566c0", "term_id": "1132", "term_name": 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[/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_e2a2872f383f3f4807c566c0-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_e2a2872f383f3f4807c566c0-0.json) #### results * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_e2a2872f383f3f4807c566c0-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_e2a2872f383f3f4807c566c0-0.json) ### revision e243353dcb7d79b7247ced91d69443ef4c2a6349 ## context ### all #### term #### gpa 3.737623762376238 #### count 202 #### university ##### size 3312 ##### gpa Percentile 55 ##### count Percentile 63 ##### median Count 130 ##### 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 | 11 | false | | 2.8–3.2 | 301 | false | | 3.2–3.6 | 1006 | false | | 3.6–4.0 | 1994 | true | #### departments ```json [ { "subject": "MATH", "comparison": { "size": 77, "gpaPercentile": 67, "countPercentile": 50, "medianCount": 202, "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": 4, "current": false }, { "range": "2.8–3.2", "count": 28, "current": false }, { "range": "3.2–3.6", "count": 17, "current": false }, { "range": "3.6–4.0", "count": 28, "current": true } ] } } ] ``` ### terms #### 1082 ##### term 1082 ##### gpa 3.775 ##### count 20 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1112 ##### term 1112 ##### gpa 3.825 ##### count 20 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1132 ##### term 1132 ##### gpa 3.840909090909091 ##### count 22 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1152 ##### term 1152 ##### gpa 3.45 ##### count 20 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1172 ##### term 1172 ##### gpa 3.5555555555555554 ##### count 27 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1192 ##### term 1192 ##### gpa 3.761904761904762 ##### count 21 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1212 ##### term 1212 ##### gpa 3.9 ##### count 35 ##### university ###### size 1111 ###### gpa Percentile 83 ###### count Percentile 11 ###### median Count 68 ###### 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 | 4 | false | | 2.8–3.2 | 159 | false | | 3.2–3.6 | 337 | false | | 3.6–4.0 | 611 | true | ##### departments ```json [ { "subject": "MATH", "comparison": { "size": 41, "gpaPercentile": 90, "countPercentile": 10, "medianCount": 87, "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": 2, "current": false }, { "range": "2.8–3.2", "count": 18, "current": false }, { "range": "3.2–3.6", "count": 12, "current": false }, { "range": "3.6–4.0", "count": 9, "current": true } ] } } ] ``` #### 1232 ##### term 1232 ##### gpa 4 ##### count 18 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1252 ##### term 1252 ##### gpa 3.473684210526316 ##### count 19 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | ### benchmarks #### all ##### school ###### size 3312 ###### gpa 3.6373007915649 ###### top Share 80.49405453726632 ###### count 130 ##### MATH ###### size 77 ###### gpa 3.421714386468449 ###### top Share 67.51553743849784 ###### count 202 #### terms ##### 1082 ###### school ###### size 723 ###### gpa 3.3583896732335172 ###### top Share 62.932746798940194 ###### count 68 ###### MATH ###### size 20 ###### gpa 2.8603540012311925 ###### top Share 39.28661748894661 ###### count 122 ##### 1112 ###### school ###### size 805 ###### gpa 3.3737773184830386 ###### top Share 63.91039244872789 ###### count 66 ###### MATH ###### size 26 ###### gpa 2.9941347625171355 ###### top Share 43.79682105650899 ###### count 87 ##### 1132 ###### school ###### size 851 ###### gpa 3.391128778809763 ###### top Share 64.69509437122704 ###### count 66 ###### MATH ###### size 25 ###### gpa 2.9605395515107897 ###### top Share 42.794601137643824 ###### count 108 ##### 1152 ###### school ###### size 918 ###### gpa 3.408733538594633 ###### top Share 66.06693005846735 ###### count 65 ###### MATH ###### size 34 ###### gpa 3.0803080141506425 ###### top Share 49.72677618758506 ###### count 82 ##### 1172 ###### school ###### size 991 ###### gpa 3.465129042641772 ###### top Share 69.42600667567366 ###### count 67 ###### MATH ###### size 36 ###### gpa 3.098601909983034 ###### top Share 48.67573746500224 ###### count 66 ##### 1192 ###### school ###### size 1077 ###### gpa 3.50327634323125 ###### top Share 72.44641925727845 ###### count 67 ###### MATH ###### size 39 ###### gpa 3.1003216533236415 ###### top Share 50.01588968281552 ###### count 99 ##### 1212 ###### school ###### size 1111 ###### gpa 3.5856416028074487 ###### top Share 77.58926748660845 ###### count 68 ###### MATH ###### size 41 ###### gpa 3.3211331103538813 ###### top Share 59.85093623917685 ###### count 87 ##### 1232 ###### school ###### size 1216 ###### gpa 3.575457431972425 ###### top Share 77.33712216234007 ###### count 66 ###### MATH ###### size 43 ###### gpa 3.2486774162409366 ###### top Share 56.56203211471963 ###### count 69 ##### 1252 ###### school ###### size 1333 ###### gpa 3.619494049739118 ###### top Share 79.71442190500672 ###### count 69 ###### MATH ###### size 43 ###### gpa 3.185692541204979 ###### top Share 54.14175342403773 ###### count 74 ## instructor Trends ```json [ { "uid": "instructor_a3ba606a773db62292d9f2ac", "name": "HAO SHEN", "count": 74, "terms": [ { "term": "1192", "count": 21, "sections": 1, "gpa": 3.761904761904762 }, { "term": "1212", "count": 35, "sections": 1, "gpa": 3.9 }, { "term": "1232", "count": 18, "sections": 1, "gpa": 4 } ] }, { "uid": "instructor_bec15c77aa953cbac45042f2", "name": "TIMO SEPPALAINEN", "count": 62, "terms": [ { "term": "1112", "count": 20, "sections": 1, "gpa": 3.825 }, { "term": "1132", "count": 22, "sections": 1, "gpa": 3.840909090909091 }, { "term": "1152", "count": 20, "sections": 1, "gpa": 3.45 } ] }, { "uid": "instructor_5088fbe0824eddc6e8e0f351", "name": "WAI TONG FAN", "count": 27, "terms": [ { "term": "1172", "count": 27, "sections": 1, "gpa": 3.5555555555555554 } ] }, { "uid": "instructor_0eef5fd9bbc2212e9f6abe3b", "name": "THOMAS G. KURTZ", "count": 20, "terms": [ { "term": "1082", "count": 20, "sections": 1, "gpa": 3.775 } ] }, { "uid": "instructor_cb5593042198a18e4ec56a1c", "name": "TATIANA SHCHERBYNA", "count": 19, "terms": [ { "term": "1252", "count": 19, "sections": 1, "gpa": 3.473684210526316 } ] } ] ``` ## following None recorded.