# MATH 807: Dynamical Systems | UW–Madison [View on UW Courses](https://uwcourses.com/courses/MATH_807) ## 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 39729437c37eda9c4868ee6dafb67ddbb483610e795f991e7d7db6278b5e356c ### course id MATH 807 ### course uid course\_d4b54dbe84c729c182c3b4c1 ### catalog version id 082e083477a602ac8611ff09e2a6f8cb4b7814b35ff01c5b690f0ae9e718dbf0 ### course number 807 ### subjects * MATH ### title DYNAMICAL SYSTEMS ### description Treats the qualitative behavior of continuous and discrete dynamical systems, including Hamiltonian systems of differential equations. Typical topics include periodic and almost periodic solutions, the fixed point theorem of Poincare and Birkhoff, invariant curves and KAM theory, celestial mechanics, and chaotic behavior. ### 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 d8bc981f1ddaeb2d56458ab86fd0a83e0eb1b39853535a5b0da46f7d6d5e86fd ### llm model nvidia/Qwen3.6-35B-A3B-NVFP4 ### llm model revision 1355db6a052410cfd62085d94b58866fd0f2c3c5 ### llm task version 14 ### llm search status valid ### llm summary MATH 807 covers the qualitative behavior of continuous and discrete dynamical systems, including Hamiltonian systems and chaotic behavior. ### llm topics * Continuous and discrete dynamical systems * Hamiltonian systems * Periodic and almost periodic solutions * Poincare and Birkhoff fixed point theorem * Invariant curves and KAM theory * Celestial mechanics * Chaotic behavior ### llm skills * Analyze qualitative behavior of dynamical systems * Study Hamiltonian systems * Apply fixed point theorems and KAM theory * Examine chaotic behavior and celestial mechanics ### llm assumed background None recorded. ### llm search phrases * dynamical systems qualitative behavior * Hamiltonian systems differential equations * KAM theory invariant curves * Poincare Birkhoff fixed point theorem * chaotic behavior celestial mechanics ### llm requirements status valid ### llm student summary status valid ### llm experience status insufficient\_evidence ### catalog variants None recorded. ### student summary #### context hash 378019ae07bebbd40405accd5c3db70ff97ff232377f46874b5b84d5751c0b18 #### course id MATH 807 #### 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 — Spring 2018: 3.71 GPA, 82.4% A/AB (n=17 letter grades); Spring 2023: 3.93 GPA, 100.0% A/AB (n=14 letter grades). ```json { "citations": [ { "course_id": "MATH 807", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "a1e7f60b-fc23-3530-8338-4c92a2575093", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "grades_latest", "term_id": "1184", "type": "grade" }, { "course_id": "MATH 807", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "a1e7f60b-fc23-3530-8338-4c92a2575093", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "grades_latest", "term_id": "1234", "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_d6ae5bf489a32285b7c8c1c7", "source": "madgrades", "source_instructor_id": "3126228", 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"bayesian_quality": 4.132402965921331, "prior_mean": 3.6596857835465957, "prior_weight": 20 }, "grade_statistics": { "gpa": 3.197, "graded": 884, "counts": [ 377, 87, 190, 63, 135, 16, 16 ], "sections": 38 }, "instructor_url": "/instructors/HUNG_TRAN--instructor_c4e84539220abff29c5c6b21" } ] ``` ### grades ```json [ { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 807", "course_uid": "course_d4b54dbe84c729c182c3b4c1", "term_id": "1084", "term_name": "Spring 2008", "instructors": [ "SERGEY BOLOTIN" ], "a": 0, "ab": 0, "b": 0, "bc": 0, "c": 0, "d": 0, "f": 0, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 0, "source_aliases": [ "MATH 807" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 807", "course_uid": "course_d4b54dbe84c729c182c3b4c1", "term_id": "1184", "term_name": "Spring 2018", "instructors": [ "SERGEY BOLOTIN" ], "a": 10, "ab": 4, "b": 3, "bc": 0, "c": 0, "d": 0, "f": 0, "satisfactory": 1, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 1, "not_reported": 0, "other": 0, "total": 19, "source_aliases": [ "MATH 807" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 807", "course_uid": "course_d4b54dbe84c729c182c3b4c1", "term_id": "1234", "term_name": "Spring 2023", "instructors": [ "Hung Tran" ], "a": 12, "ab": 2, "b": 0, "bc": 0, "c": 0, "d": 0, "f": 0, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 14, "source_aliases": [ "MATH 807" ] } ] ``` ### statistics #### gpa 3.806 #### graded 31 #### counts * 22 * 6 * 3 * 0 * 0 * 0 * 0 ### grade conflicts None recorded. ### evidence #### history * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_d4b54dbe84c729c182c3b4c1-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_d4b54dbe84c729c182c3b4c1-0.json) #### traces * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_d4b54dbe84c729c182c3b4c1-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_d4b54dbe84c729c182c3b4c1-0.json) #### results * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_d4b54dbe84c729c182c3b4c1-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_d4b54dbe84c729c182c3b4c1-0.json) ### revision e243353dcb7d79b7247ced91d69443ef4c2a6349 ## context ### all #### term #### gpa 3.806451612903226 #### count 31 #### university ##### size 2064 ##### gpa Percentile 70 ##### count Percentile 2 ##### median Count 82 ##### 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 | 20 | false | | 2.8–3.2 | 266 | false | | 3.2–3.6 | 670 | false | | 3.6–4.0 | 1108 | true | #### departments ```json [ { "subject": "MATH", "comparison": { "size": 59, "gpaPercentile": 83, "countPercentile": 0, "medianCount": 84, "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": 8, "current": false }, { "range": "2.8–3.2", "count": 20, "current": false }, { "range": "3.2–3.6", "count": 12, "current": false }, { "range": "3.6–4.0", "count": 19, "current": true } ] } } ] ``` ### terms #### 1184 ##### term 1184 ##### gpa 3.7058823529411766 ##### count 17 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1234 ##### term 1234 ##### gpa 3.9285714285714284 ##### count 14 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | ### benchmarks #### all ##### school ###### size 2064 ###### gpa 3.58328133171047 ###### top Share 77.11998907337423 ###### count 82 ##### MATH ###### size 59 ###### gpa 3.29846592660978 ###### top Share 61.366496554299324 ###### count 84 #### terms ##### 1084 ###### school ###### size 720 ###### gpa 3.3670742938849725 ###### top Share 63.42064564712246 ###### count 70 ###### MATH ###### size 22 ###### gpa 2.977459424628873 ###### top Share 44.52710820759676 ###### count 88.5 ##### 1184 ###### school ###### size 1010 ###### gpa 3.47925290354517 ###### top Share 70.86270937115944 ###### count 68 ###### MATH ###### size 36 ###### gpa 3.0650838986714333 ###### top Share 47.42689290604571 ###### count 83.5 ##### 1234 ###### school ###### size 1188 ###### gpa 3.5799441677552393 ###### top Share 77.18256448537606 ###### count 65 ###### MATH ###### size 41 ###### gpa 3.178489266862151 ###### top Share 56.06874885619616 ###### count 67 ## instructor Trends ```json [ { "uid": "instructor_d6ae5bf489a32285b7c8c1c7", "name": "SERGEY BOLOTIN", "count": 17, "terms": [ { "term": "1184", "count": 17, "sections": 1, "gpa": 3.7058823529411766 } ] }, { "uid": "instructor_c4e84539220abff29c5c6b21", "name": "HUNG TRAN", "count": 14, "terms": [ { "term": "1234", "count": 14, "sections": 1, "gpa": 3.9285714285714284 } ] } ] ``` ## following None recorded.