{"schema_version":1,"url":"https://uwcourses.com/courses/MATH_747","title":"MATH 747: Lie Algebras | UW–Madison","dataset":{"revision":"e243353dcb7d79b7247ced91d69443ef4c2a6349","repository":"twangodev/uwcourses","schema_version":6,"importer_version":"7","projection_id":"94468b7d4154126ca413937bb4738a6d21e0c2277f6fa397a6078ad80a32384f","observed_at":"2026-09-07T15:55:43.033547+00:00","built_at":"2026-09-10T23:19:01.870283+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":"AAE","count":90},{"subject":"ABT","count":20},{"subject":"ACCTIS","count":36},{"subject":"ACTSCI","count":14},{"subject":"AFAERO","count":10},{"subject":"AFRICAN","count":87},{"subject":"AFROAMER","count":71},{"subject":"AGROECOL","count":21},{"subject":"AMERIND","count":53},{"subject":"ANAT&PHY","count":7},{"subject":"ANATOMY","count":2},{"subject":"ANESTHES","count":8},{"subject":"ANSCI","count":57},{"subject":"ANTHRO","count":95},{"subject":"ART","count":125},{"subject":"ARTED","count":10},{"subject":"ARTHIST","count":121},{"subject":"ASIALANG","count":129},{"subject":"ASIAN","count":109},{"subject":"ASIANAM","count":28},{"subject":"ASTRON","count":38},{"subject":"ATMOCN","count":69},{"subject":"BIOCHEM","count":51},{"subject":"BIOCORE","count":10},{"subject":"BIOLOGY","count":14},{"subject":"BIOMDSCI","count":18},{"subject":"BME","count":66},{"subject":"BMI","count":41},{"subject":"BMOLCHEM","count":10},{"subject":"BOTANY","count":69},{"subject":"BSE","count":44},{"subject":"C&ESOC","count":73},{"subject":"CBE","count":48},{"subject":"CHEM","count":101},{"subject":"CHICLA","count":52},{"subject":"CIVENGR","count":133},{"subject":"CLASSICS","count":47},{"subject":"CNP","count":10},{"subject":"CNSRSCI","count":50},{"subject":"COMARTS","count":137},{"subject":"COMPBIO","count":15},{"subject":"COMPLIT","count":11},{"subject":"COMPSCI","count":138},{"subject":"COUNPSY","count":78},{"subject":"CRB","count":19},{"subject":"CS&D","count":71},{"subject":"CSCS","count":40},{"subject":"CURRIC","count":193},{"subject":"DANCE","count":93},{"subject":"DERM","count":8},{"subject":"DS","count":88},{"subject":"DYSCI","count":35},{"subject":"ECE","count":155},{"subject":"ECON","count":145},{"subject":"EDPOL","count":114},{"subject":"EDPSYCH","count":97},{"subject":"ELPA","count":70},{"subject":"EMA","count":53},{"subject":"EMERMED","count":17},{"subject":"ENGL","count":206},{"subject":"ENTOM","count":40},{"subject":"ENVIRST","count":148},{"subject":"EP","count":15},{"subject":"EPD","count":67},{"subject":"ESL","count":16},{"subject":"F&WECOL","count":60},{"subject":"FAMMED","count":22},{"subject":"FINANCE","count":50},{"subject":"FOLKLORE","count":40},{"subject":"FOODSCI","count":43},{"subject":"FRENCH","count":63},{"subject":"GEN&WS","count":145},{"subject":"GENBUS","count":72},{"subject":"GENECSLR","count":17},{"subject":"GENETICS","count":60},{"subject":"GEOG","count":113},{"subject":"GEOSCI","count":83},{"subject":"GERMAN","count":82},{"subject":"GLE","count":48},{"subject":"GNS","count":38},{"subject":"GREEK","count":27},{"subject":"HDFS","count":41},{"subject":"HEBR-BIB","count":13},{"subject":"HEBR-MOD","count":10},{"subject":"HISTORY","count":233},{"subject":"HISTSCI","count":56},{"subject":"HONCOL","count":13},{"subject":"ILS","count":43},{"subject":"INFOSYS","count":9},{"subject":"INTEGART","count":7},{"subject":"INTEGSCI","count":22},{"subject":"INTER-AG","count":18},{"subject":"INTER-HE","count":11},{"subject":"INTER-LS","count":22},{"subject":"INTEREGR","count":16},{"subject":"INTLBUS","count":21},{"subject":"INTLST","count":50},{"subject":"ISYE","count":83},{"subject":"ITALIAN","count":53},{"subject":"JEWISH","count":56},{"subject":"JOURN","count":88},{"subject":"KINES","count":128},{"subject":"LACIS","count":26},{"subject":"LANDARC","count":61},{"subject":"LATIN","count":24},{"subject":"LAW","count":120},{"subject":"LEGALST","count":48},{"subject":"LINGUIS","count":35},{"subject":"LIS","count":89},{"subject":"LITTRANS","count":78},{"subject":"LSC","count":52},{"subject":"M&ENVTOX","count":7},{"subject":"MARKETNG","count":62},{"subject":"MATH","count":153},{"subject":"MDGENET","count":8},{"subject":"ME","count":130},{"subject":"MEDHIST","count":43},{"subject":"MEDICINE","count":60},{"subject":"MEDIEVAL","count":32},{"subject":"MEDPHYS","count":39},{"subject":"MEDSC-M","count":29},{"subject":"MEDSC-V","count":41},{"subject":"MHR","count":68},{"subject":"MICROBIO","count":45},{"subject":"MILSCI","count":16},{"subject":"MM&I","count":22},{"subject":"MOLBIOL","count":6},{"subject":"MS&E","count":59},{"subject":"MUSIC","count":165},{"subject":"MUSPERF","count":126},{"subject":"NAVSCI","count":20},{"subject":"NE","count":44},{"subject":"NEURODPT","count":11},{"subject":"NEUROL","count":7},{"subject":"NEURSURG","count":4},{"subject":"NTP","count":11},{"subject":"NURSING","count":111},{"subject":"NUTRSCI","count":65},{"subject":"OBS&GYN","count":18},{"subject":"OCCTHER","count":39},{"subject":"ONCOLOGY","count":14},{"subject":"OPHTHALM","count":5},{"subject":"OTM","count":43},{"subject":"PATH","count":34},{"subject":"PATH-BIO","count":29},{"subject":"PEDIAT","count":26},{"subject":"PHARMACY","count":31},{"subject":"PHILOS","count":77},{"subject":"PHMCOL-M","count":11},{"subject":"PHMPRAC","count":45},{"subject":"PHMSCI","count":60},{"subject":"PHYASST","count":37},{"subject":"PHYSICS","count":88},{"subject":"PHYSIOL","count":3},{"subject":"PHYTHER","count":37},{"subject":"PLANTSCI","count":52},{"subject":"PLPATH","count":35},{"subject":"POLISCI","count":192},{"subject":"POPHLTH","count":58},{"subject":"PORTUG","count":33},{"subject":"PSYCH","count":101},{"subject":"PSYCHIAT","count":22},{"subject":"PUBAFFR","count":54},{"subject":"PUBLHLTH","count":23},{"subject":"RADIOL","count":11},{"subject":"REALEST","count":41},{"subject":"RELIGST","count":90},{"subject":"RHABMED","count":9},{"subject":"RMI","count":24},{"subject":"RP&SE","count":102},{"subject":"S&APHM","count":17},{"subject":"SCANDST","count":73},{"subject":"SLAVIC","count":89},{"subject":"SOC","count":149},{"subject":"SOCWORK","count":87},{"subject":"SOILSCI","count":46},{"subject":"SPANISH","count":83},{"subject":"SRMED","count":21},{"subject":"STAT","count":94},{"subject":"STDYABRD","count":52},{"subject":"STS","count":8},{"subject":"SURGERY","count":25},{"subject":"SURGSCI","count":33},{"subject":"THEATRE","count":91},{"subject":"URBRPL","count":60},{"subject":"UROLOGY","count":5},{"subject":"ZOOLOGY","count":89}],"deployed_at":null,"site_commit":null},"data":{"course":{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","record_version_id":"a2ff726b16251d9d94ca683ffc881cebda0b17e71e02211819ba7f70cc3d9169","course_id":"MATH 747","course_uid":"course_34ae84cc48e70d6fce6b838b","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","course_number":747,"subjects":["MATH"],"title":"LIE ALGEBRAS","description":"Lie algebras and matrix groups. Topics: tangent spaces; exponentials; Baker-Campbell-Hausdorff formula; (nilpotent, solvable, semisimple) Lie algebras; Engel's and Lie's theorems; Levi decomposition; Killing form; sl(2)-representations; root systems; Dynkin diagrams; Weyl groups; Cartan and Borel subalgebras; Serre's theorem. Basic graduate algebra courses (e.g.MATH 541and542orMATH 741and742) are strongly recommended.","requirements_text":"Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","credits_min":null,"credits_max":null,"credit_offering_ids":[],"llm_job_id":"enrich-8b774950c2b6adfdc46d1b82","llm_output_id":"7e7051f275e88cbf42d9cb19a1ee7f3f52409ee9ecab74b04daa9662ae12a7d3","llm_model":"nvidia/Qwen3.6-35B-A3B-NVFP4","llm_model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","llm_task_version":"14","llm_search_status":"valid","llm_summary":"A graduate course on Lie algebras and matrix groups covering structure theorems, representations, and root systems.","llm_topics":["Tangent spaces and exponentials","Nilpotent, solvable, and semisimple Lie algebras","Killing form and sl(2) representations","Root systems, Dynkin diagrams, and Weyl groups"],"llm_skills":["Analysis of Lie algebras and matrix groups including structure theory and representation basics."],"llm_assumed_background":["Graduate-level abstract algebra, specifically groups, rings, and field theory."],"llm_search_phrases":["Lie algebras graduate course","Baker-Campbell-Hausdorff formula","root systems Dynkin diagrams","semisimple Lie algebras"],"llm_requirements_status":"valid","llm_student_summary_status":"valid","llm_experience_status":"insufficient_evidence","catalog_variants":[],"student_summary":{"context_hash":"c34c0e25e06d203d8b39d7a4abc9416b466f37c21ec92f4ff045b5388149cf1d","course_id":"MATH 747","current_instructors":[],"difficulty_workload":[],"errors":[],"historical_context":[],"message":"No course-specific reviews available","offered":false,"profile_hash":"5cb4dabf887cdbcd8c00d5a1312e10828b95c63f30bc3ea76aea199565390d02","quick_take":[{"citations":[{"course_id":"MATH 747","run_id":"20260907T155543-ce3781c4","source_record":{"entity_id":"d8469285-960b-3bc3-aefd-7d801a3f76be","file":"tables/observations.parquet","kind":"grades","source":"madgrades"},"table":"grades_latest","term_id":"1132","type":"grade"},{"course_id":"MATH 747","run_id":"20260907T155543-ce3781c4","source_record":{"entity_id":"d8469285-960b-3bc3-aefd-7d801a3f76be","file":"tables/observations.parquet","kind":"grades","source":"madgrades"},"table":"grades_latest","term_id":"1152","type":"grade"},{"course_id":"MATH 747","run_id":"20260907T155543-ce3781c4","source_record":{"entity_id":"d8469285-960b-3bc3-aefd-7d801a3f76be","file":"tables/observations.parquet","kind":"grades","source":"madgrades"},"table":"grades_latest","term_id":"1244","type":"grade"}],"text":"Recent recorded grades — Fall 2012: 4.00 GPA, 100.0% A/AB (n=16 letter grades); Fall 2014: 4.00 GPA, 100.0% A/AB (n=16 letter grades); Spring 2024: 4.00 GPA, 100.0% A/AB (n=41 letter grades)."}],"student_experience":[],"task_hash":"74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68","teaching_history":[],"term_id":"1272","term_name":"2026 Fall","version":2},"requirements":{"nodes":[{"children":[],"condition":"Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","course":null,"evidence":"Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","id":"n0","kind":"condition"}],"notes":[],"root":"n0","status":"parsed"},"instructors":[],"offerings":[],"sections":[],"grade_instructors":[{"instructor_uid":"instructor_e4940193d40b46f9e2810a27","source":"madgrades","source_instructor_id":"3014255","identity_basis":"source_id","identity_status":"source_identified","name":"ARUN RAM","email":null,"first_observed_at":"2026-09-06 23:14:58.172943+00:00","last_observed_at":"2026-09-07 15:55:43.033547+00:00","ratings":{"review_count":115,"quality":3.83,"difficulty":4.14,"quality_count":115,"difficulty_count":115,"profile_id":"rmp:202881","source_url":"https://www.ratemyprofessors.com/professor/202881","match_basis":"exact_name","observed_at":"2026-09-07 16:54:08.685189+00:00","courses":{"course_cc1de60e9953cdd9c469e9a5":{"review_count":76,"quality":3.79,"difficulty":4.08,"quality_count":76,"difficulty_count":76},"course_eec4aae06b946a73f1878be4":{"review_count":1,"quality":4,"difficulty":5,"quality_count":1,"difficulty_count":1},"course_7d3f055b392d74c588d35d0b":{"review_count":1,"quality":5,"difficulty":4,"quality_count":1,"difficulty_count":1},"course_364c50303ed83d1234b4ea51":{"review_count":1,"quality":5,"difficulty":5,"quality_count":1,"difficulty_count":1},"course_9b0dc1865ea603eb0083bc33":{"review_count":1,"quality":4,"difficulty":4,"quality_count":1,"difficulty_count":1},"course_6bc496e4640fd08f71e1b041":{"review_count":1,"quality":5,"difficulty":4,"quality_count":1,"difficulty_count":1}},"bayesian_quality":3.804768264229125,"prior_mean":3.6596857835465957,"prior_weight":20},"grade_statistics":{"gpa":2.867,"graded":301,"counts":[97,28,56,22,65,24,9],"sections":13},"instructor_url":"/instructors/ARUN_RAM--instructor_e4940193d40b46f9e2810a27"},{"instructor_uid":"instructor_0fccae6a11c543f1039456f8","source":"madgrades","source_instructor_id":"2601093","identity_basis":"source_id","identity_status":"source_identified","name":"PAUL M TERWILLIGER","email":null,"first_observed_at":"2026-09-06 23:14:58.172943+00:00","last_observed_at":"2026-09-07 15:55:43.033547+00:00","grade_statistics":{"gpa":3.268,"graded":1413,"counts":[662,148,290,97,152,35,29],"sections":108},"instructor_url":"/instructors/PAUL_M_TERWILLIGER"},{"instructor_uid":"instructor_bc7acc9f38e7d8108854c8c5","source":"madgrades","source_instructor_id":"3334967","identity_basis":"source_id","identity_status":"source_identified","name":"TULLIA DYMARZ","email":null,"first_observed_at":"2026-09-06 23:14:58.172943+00:00","last_observed_at":"2026-09-07 15:55:43.033547+00:00","ratings":{"review_count":53,"quality":3.21,"difficulty":3.04,"quality_count":53,"difficulty_count":53,"profile_id":"rmp:1653279","source_url":"https://www.ratemyprofessors.com/professor/1653279","match_basis":"exact_name","observed_at":"2026-09-07 16:01:02.366500+00:00","courses":{"course_fa53f4954bab469b5d4c4fe3":{"review_count":1,"quality":1,"difficulty":5,"quality_count":1,"difficulty_count":1},"course_60c2767a206a079d3af2a1a4":{"review_count":1,"quality":4,"difficulty":2,"quality_count":1,"difficulty_count":1},"course_be7b0773bc9d040384a6a3ce":{"review_count":3,"quality":4.67,"difficulty":4.33,"quality_count":3,"difficulty_count":3},"course_5d98ff5f6adce2207e394dc6":{"review_count":6,"quality":3.5,"difficulty":4.67,"quality_count":6,"difficulty_count":6},"course_eec4aae06b946a73f1878be4":{"review_count":3,"quality":3.33,"difficulty":2,"quality_count":3,"difficulty_count":3}},"bayesian_quality":3.3332015845333136,"prior_mean":3.6596857835465957,"prior_weight":20},"grade_statistics":{"gpa":3.594,"graded":668,"counts":[403,109,98,26,20,8,4],"sections":50},"instructor_url":"/instructors/TULLIA_DYMARZ--instructor_bc7acc9f38e7d8108854c8c5"}],"grades":[{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 747","course_uid":"course_34ae84cc48e70d6fce6b838b","term_id":"1082","term_name":"Fall 2007","instructors":["ARUN RAM"],"a":26,"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":26,"source_aliases":["MATH 747"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 747","course_uid":"course_34ae84cc48e70d6fce6b838b","term_id":"1102","term_name":"Fall 2009","instructors":["Paul Terwilliger"],"a":12,"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":12,"source_aliases":["MATH 747"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 747","course_uid":"course_34ae84cc48e70d6fce6b838b","term_id":"1132","term_name":"Fall 2012","instructors":["Tullia Dymarz"],"a":16,"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":16,"source_aliases":["MATH 747"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 747","course_uid":"course_34ae84cc48e70d6fce6b838b","term_id":"1152","term_name":"Fall 2014","instructors":["Paul Terwilliger"],"a":16,"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":16,"source_aliases":["MATH 747"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 747","course_uid":"course_34ae84cc48e70d6fce6b838b","term_id":"1244","term_name":"Spring 2024","instructors":["Paul Terwilliger"],"a":41,"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":41,"source_aliases":["MATH 747"]}],"statistics":{"gpa":4,"graded":111,"counts":[111,0,0,0,0,0,0]},"grade_conflicts":[],"evidence":{"history":["/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_34ae84cc48e70d6fce6b838b-0.json"],"traces":["/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_34ae84cc48e70d6fce6b838b-0.json"],"results":["/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_34ae84cc48e70d6fce6b838b-0.json"]},"revision":"e243353dcb7d79b7247ced91d69443ef4c2a6349"},"context":{"all":{"term":"","gpa":4,"count":111,"university":{"size":2640,"gpaPercentile":95,"countPercentile":60,"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":1,"current":false},{"range":"2.4–2.8","count":29,"current":false},{"range":"2.8–3.2","count":349,"current":false},{"range":"3.2–3.6","count":900,"current":false},{"range":"3.6–4.0","count":1361,"current":true}]},"departments":[{"subject":"MATH","comparison":{"size":70,"gpaPercentile":96,"countPercentile":55,"medianCount":101,"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":1,"current":false},{"range":"2.4–2.8","count":4,"current":false},{"range":"2.8–3.2","count":26,"current":false},{"range":"3.2–3.6","count":17,"current":false},{"range":"3.6–4.0","count":22,"current":true}]}}]},"terms":{"1082":{"term":"1082","gpa":4,"count":26,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1102":{"term":"1102","gpa":4,"count":12,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1132":{"term":"1132","gpa":4,"count":16,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1152":{"term":"1152","gpa":4,"count":16,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1244":{"term":"1244","gpa":4,"count":41,"university":{"size":1241,"gpaPercentile":95,"countPercentile":24,"medianCount":65,"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":2,"current":false},{"range":"2.4–2.8","count":9,"current":false},{"range":"2.8–3.2","count":151,"current":false},{"range":"3.2–3.6","count":373,"current":false},{"range":"3.6–4.0","count":706,"current":true}]},"departments":[{"subject":"MATH","comparison":{"size":43,"gpaPercentile":98,"countPercentile":26,"medianCount":68,"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":2,"current":false},{"range":"2.4–2.8","count":2,"current":false},{"range":"2.8–3.2","count":20,"current":false},{"range":"3.2–3.6","count":11,"current":false},{"range":"3.6–4.0","count":8,"current":true}]}}]}},"benchmarks":{"all":{"school":{"size":2640,"gpa":3.574036962036599,"topShare":76.44491582635389,"count":87},"MATH":{"size":70,"gpa":3.333367726103007,"topShare":62.39565392018866,"count":101}},"terms":{"1082":{"school":{"size":723,"gpa":3.3583896732335172,"topShare":62.932746798940194,"count":68},"MATH":{"size":20,"gpa":2.8603540012311925,"topShare":39.28661748894661,"count":122}},"1102":{"school":{"size":774,"gpa":3.36712622366007,"topShare":63.703228532165696,"count":67},"MATH":{"size":27,"gpa":2.936619140855453,"topShare":42.28372460948232,"count":76}},"1132":{"school":{"size":851,"gpa":3.391128778809763,"topShare":64.69509437122704,"count":66},"MATH":{"size":25,"gpa":2.9605395515107897,"topShare":42.794601137643824,"count":108}},"1152":{"school":{"size":918,"gpa":3.408733538594633,"topShare":66.06693005846735,"count":65},"MATH":{"size":34,"gpa":3.0803080141506425,"topShare":49.72677618758506,"count":82}},"1244":{"school":{"size":1241,"gpa":3.5975573126929192,"topShare":78.29036874847135,"count":65},"MATH":{"size":43,"gpa":3.228240949537157,"topShare":55.86451059486035,"count":68}}}}},"instructorTrends":[{"uid":"instructor_0fccae6a11c543f1039456f8","name":"PAUL M TERWILLIGER","count":69,"terms":[{"term":"1102","count":12,"sections":1,"gpa":4},{"term":"1152","count":16,"sections":1,"gpa":4},{"term":"1244","count":41,"sections":1,"gpa":4}]},{"uid":"instructor_e4940193d40b46f9e2810a27","name":"ARUN RAM","count":26,"terms":[{"term":"1082","count":26,"sections":1,"gpa":4}]},{"uid":"instructor_bc7acc9f38e7d8108854c8c5","name":"TULLIA DYMARZ","count":16,"terms":[{"term":"1132","count":16,"sections":1,"gpa":4}]}],"following":[],"projection":null}}