{"schema_version":1,"url":"https://uwcourses.com/courses/MATH_765","title":"MATH 765: Differential Geometry | UW–Madison","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":"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},"data":{"course":{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","record_version_id":"577507ad25ea22afe0966ea898dd14bba143aa6ff7448a63eb79d60283a160a2","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","catalog_version_id":"c48ce0476974ad6067a06522fad9401cacddb4b85392f83df5a45f00c2bcafde","course_number":765,"subjects":["MATH"],"title":"DIFFERENTIAL GEOMETRY","description":"Covers the metric properties of Riemannian manifolds. The following topics will be covered: Vector bundles and connections, Riemannian metrics, submanifolds and second fundamental form, first variation of arc length, geodesics, Hopf-Rinow theorem, second variation of arc length, Jacobi fields and index lemmas, Bonnet-Meyer theorem, Rauch comparison theorem, spaces of constant curvature, Hodge-de Rham theory. Familiarity with the topics in a differential manifolds course (e.g.MATH 761) is 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-f516c4d3e82cfe326b4f5f54","llm_output_id":"7940d059b7ddfc9eeae447a9e1d2d7d8d57cb5248126b16f4198d1fc14469470","llm_model":"nvidia/Qwen3.6-35B-A3B-NVFP4","llm_model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","llm_task_version":"14","llm_search_status":"valid","llm_summary":"MATH 765 DIFFERENTIAL GEOMETRY covers the metric properties of Riemannian manifolds, including geodesics, comparison theorems, and Hodge-de Rham theory.","llm_topics":["Vector bundles, connections, and submanifolds.","Geodesics and the Hopf-Rinow theorem.","Second variation of arc length and Jacobi fields.","Comparison theorems and spaces of constant curvature.","Hodge-de Rham theory."],"llm_skills":["Analyze metric properties of Riemannian manifolds.","Apply vector bundle theory and connections to Riemannian geometry.","Study geodesics and variational properties of arc length.","Utilize comparison theorems and Hodge-de Rham theory."],"llm_assumed_background":["Topics from a differential manifolds course, such as those in MATH 761."],"llm_search_phrases":["Riemannian manifolds metric properties","geodesics Hopf-Rinow theorem","Jacobi fields index lemmas","comparison theorems differential geometry"],"llm_requirements_status":"valid","llm_student_summary_status":"valid","llm_experience_status":"valid","catalog_variants":[],"student_summary":{"context_hash":"996581961ea164375cbec7a462c5289f67361b35f650afa2ec5a4844d9a9a371","course_id":"MATH 765","current_instructors":[],"difficulty_workload":[{"citations":[{"instructor_name":"Sean Paul","review_date":"2025-05-16 06:07:57 +0000 UTC","review_id":"0d18cd576c327418adfdf00e","run_id":"20260907T155543-ce3781c4","source_instructor_id":"rmp:1029779","source_review_id":"UmF0aW5nLTQxMzAyMDAx","source_url":"https://www.ratemyprofessors.com/professor/1029779","type":"review"}],"text":"Historical reviews of Sean Paul: Reviewers characterize the difficulty as high, citing a lack of clear grading standards. One student rated the difficulty at 5, noting that grades seemed based on personal satisfaction rather than objective performance."}],"errors":[],"historical_context":[{"citations":[{"instructor_name":"Sean Paul","review_date":"2025-05-16 03:17:41 +0000 UTC","review_id":"f37da50428b25203f666109e","run_id":"20260907T155543-ce3781c4","source_instructor_id":"rmp:1029779","source_review_id":"UmF0aW5nLTQxMzAwNjg3","source_url":"https://www.ratemyprofessors.com/professor/1029779","type":"review"},{"instructor_name":"Sean Paul","review_date":"2025-05-16 06:07:57 +0000 UTC","review_id":"0d18cd576c327418adfdf00e","run_id":"20260907T155543-ce3781c4","source_instructor_id":"rmp:1029779","source_review_id":"UmF0aW5nLTQxMzAyMDAx","source_url":"https://www.ratemyprofessors.com/professor/1029779","type":"review"},{"instructor_name":"Sean Paul","review_date":"2026-05-09 22:42:38 +0000 UTC","review_id":"2804b3a86363bff5b71d2c73","run_id":"20260907T155543-ce3781c4","source_instructor_id":"rmp:1029779","source_review_id":"UmF0aW5nLTQzMDgyMDM5","source_url":"https://www.ratemyprofessors.com/professor/1029779","type":"review"}],"text":"Historical reviews of Sean Paul: Sean Paul is described as irresponsible and unorganized, with lectures that fail to cover core topics like Jacobi fields. Reviewers criticize his lack of clear grading criteria and his tendency to blame students for their struggles."}],"message":null,"offered":false,"profile_hash":"e59ddc7389015d0035b68cd195c939d475bf72b959b29cf12eab59b454ccaef1","quick_take":[{"citations":[{"instructor_name":"Sean Paul","review_date":"2025-05-16 03:17:41 +0000 UTC","review_id":"f37da50428b25203f666109e","run_id":"20260907T155543-ce3781c4","source_instructor_id":"rmp:1029779","source_review_id":"UmF0aW5nLTQxMzAwNjg3","source_url":"https://www.ratemyprofessors.com/professor/1029779","type":"review"},{"instructor_name":"Sean Paul","review_date":"2025-05-16 06:07:57 +0000 UTC","review_id":"0d18cd576c327418adfdf00e","run_id":"20260907T155543-ce3781c4","source_instructor_id":"rmp:1029779","source_review_id":"UmF0aW5nLTQxMzAyMDAx","source_url":"https://www.ratemyprofessors.com/professor/1029779","type":"review"},{"instructor_name":"Sean Paul","review_date":"2026-05-09 22:42:38 +0000 UTC","review_id":"2804b3a86363bff5b71d2c73","run_id":"20260907T155543-ce3781c4","source_instructor_id":"rmp:1029779","source_review_id":"UmF0aW5nLTQzMDgyMDM5","source_url":"https://www.ratemyprofessors.com/professor/1029779","type":"review"}],"text":"Sean Paul's historical reviews describe a frustrating experience with unorganized lectures and unclear grading criteria. Students report that course content often diverged from expected topics, leading to significant dissatisfaction with the instruction quality."},{"citations":[{"course_id":"MATH 765","run_id":"20260907T155543-ce3781c4","source_record":{"entity_id":"c274f84b-f3a0-36f9-8807-99941883d687","file":"tables/observations.parquet","kind":"grades","source":"madgrades"},"table":"grades_latest","term_id":"1242","type":"grade"},{"course_id":"MATH 765","run_id":"20260907T155543-ce3781c4","source_record":{"entity_id":"c274f84b-f3a0-36f9-8807-99941883d687","file":"tables/observations.parquet","kind":"grades","source":"madgrades"},"table":"grades_latest","term_id":"1254","type":"grade"},{"course_id":"MATH 765","run_id":"20260907T155543-ce3781c4","source_record":{"entity_id":"c274f84b-f3a0-36f9-8807-99941883d687","file":"tables/observations.parquet","kind":"grades","source":"madgrades"},"table":"grades_latest","term_id":"1264","type":"grade"}],"text":"Recent recorded grades — Fall 2023: 4.00 GPA, 100.0% A/AB (n=11 letter grades); Spring 2025: 3.62 GPA, 91.7% A/AB (n=12 letter grades); Spring 2026: 4.00 GPA, 100.0% A/AB (n=19 letter grades)."}],"student_experience":[{"citations":[{"instructor_name":"Sean Paul","review_date":"2025-05-16 03:17:41 +0000 UTC","review_id":"f37da50428b25203f666109e","run_id":"20260907T155543-ce3781c4","source_instructor_id":"rmp:1029779","source_review_id":"UmF0aW5nLTQxMzAwNjg3","source_url":"https://www.ratemyprofessors.com/professor/1029779","type":"review"},{"instructor_name":"Sean Paul","review_date":"2026-05-09 22:42:38 +0000 UTC","review_id":"2804b3a86363bff5b71d2c73","run_id":"20260907T155543-ce3781c4","source_instructor_id":"rmp:1029779","source_review_id":"UmF0aW5nLTQzMDgyMDM5","source_url":"https://www.ratemyprofessors.com/professor/1029779","type":"review"}],"text":"Historical reviews of Sean Paul: Students found lectures unhelpful, with content focusing on the instructor's specific interests rather than core course material. Reviewers also noted a lack of support, with the instructor attributing student struggles entirely to their own faults."}],"task_hash":"74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68","teaching_history":[{"citations":[{"course_id":"MATH 765","run_id":"20260907T155543-ce3781c4","section_number":1,"source_course_id":"c274f84b-f3a0-36f9-8807-99941883d687","source_record":{"entity_id":"c274f84b-f3a0-36f9-8807-99941883d687","file":"tables/observations.parquet","kind":"grades","source":"madgrades"},"table":"section_grades_latest","term_id":"1084","type":"grade"},{"course_id":"MATH 765","run_id":"20260907T155543-ce3781c4","section_number":1,"source_course_id":"c274f84b-f3a0-36f9-8807-99941883d687","source_record":{"entity_id":"c274f84b-f3a0-36f9-8807-99941883d687","file":"tables/observations.parquet","kind":"grades","source":"madgrades"},"table":"section_grades_latest","term_id":"1104","type":"grade"},{"course_id":"MATH 765","run_id":"20260907T155543-ce3781c4","section_number":1,"source_course_id":"c274f84b-f3a0-36f9-8807-99941883d687","source_record":{"entity_id":"c274f84b-f3a0-36f9-8807-99941883d687","file":"tables/observations.parquet","kind":"grades","source":"madgrades"},"table":"section_grades_latest","term_id":"1124","type":"grade"},{"course_id":"MATH 765","run_id":"20260907T155543-ce3781c4","section_number":1,"source_course_id":"c274f84b-f3a0-36f9-8807-99941883d687","source_record":{"entity_id":"c274f84b-f3a0-36f9-8807-99941883d687","file":"tables/observations.parquet","kind":"grades","source":"madgrades"},"table":"section_grades_latest","term_id":"1164","type":"grade"},{"course_id":"MATH 765","run_id":"20260907T155543-ce3781c4","section_number":1,"source_course_id":"c274f84b-f3a0-36f9-8807-99941883d687","source_record":{"entity_id":"c274f84b-f3a0-36f9-8807-99941883d687","file":"tables/observations.parquet","kind":"grades","source":"madgrades"},"table":"section_grades_latest","term_id":"1184","type":"grade"},{"course_id":"MATH 765","run_id":"20260907T155543-ce3781c4","section_number":1,"source_course_id":"c274f84b-f3a0-36f9-8807-99941883d687","source_record":{"entity_id":"c274f84b-f3a0-36f9-8807-99941883d687","file":"tables/observations.parquet","kind":"grades","source":"madgrades"},"table":"section_grades_latest","term_id":"1194","type":"grade"},{"course_id":"MATH 765","run_id":"20260907T155543-ce3781c4","section_number":1,"source_course_id":"c274f84b-f3a0-36f9-8807-99941883d687","source_record":{"entity_id":"c274f84b-f3a0-36f9-8807-99941883d687","file":"tables/observations.parquet","kind":"grades","source":"madgrades"},"table":"section_grades_latest","term_id":"1232","type":"grade"},{"course_id":"MATH 765","run_id":"20260907T155543-ce3781c4","section_number":1,"source_course_id":"c274f84b-f3a0-36f9-8807-99941883d687","source_record":{"entity_id":"c274f84b-f3a0-36f9-8807-99941883d687","file":"tables/observations.parquet","kind":"grades","source":"madgrades"},"table":"section_grades_latest","term_id":"1254","type":"grade"}],"text":"SEAN PAUL is recorded teaching in Spring 2008, Spring 2010, Spring 2012, Spring 2016, Spring 2018, Spring 2019, Fall 2022, Spring 2025. Recorded history may be incomplete and does not establish a future schedule."}],"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_180bf94a3d2f4343128d8704","source":"madgrades","source_instructor_id":"4197298","identity_basis":"source_id","identity_status":"source_identified","name":"JEFF VIACLOVSKY","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":46,"quality":2.91,"difficulty":3.26,"quality_count":46,"difficulty_count":46,"profile_id":"rmp:1227705","source_url":"https://www.ratemyprofessors.com/professor/1227705","match_basis":"exact_name","observed_at":"2026-09-07 16:33:47.524876+00:00","courses":{"course_1f8e8903c7761a5fe852a4bc":{"review_count":4,"quality":2.75,"difficulty":3.75,"quality_count":4,"difficulty_count":4},"course_0002a781bc9543f3a2ac1a94":{"review_count":5,"quality":4.2,"difficulty":2.2,"quality_count":5,"difficulty_count":5},"course_8634dde81cc95f6c58014087":{"review_count":25,"quality":2.36,"difficulty":3.56,"quality_count":25,"difficulty_count":25}},"bayesian_quality":3.1371775101656354,"prior_mean":3.6596857835465957,"prior_weight":20},"grade_statistics":{"gpa":2.832,"graded":1497,"counts":[532,113,265,121,234,150,82],"sections":38},"instructor_url":"/instructors/JEFF_VIACLOVSKY"},{"instructor_uid":"instructor_eb98a96c05ac474b321e9170","source":"madgrades","source_instructor_id":"4170482","identity_basis":"source_id","identity_status":"source_identified","name":"SEAN PAUL","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":242,"quality":1.73,"difficulty":4.28,"quality_count":242,"difficulty_count":242,"profile_id":"rmp:1029779","source_url":"https://www.ratemyprofessors.com/professor/1029779","match_basis":"exact_name","observed_at":"2026-09-07 16:06:34.601176+00:00","courses":{"course_cd8a47c5c8808c1cc3427d87":{"review_count":24,"quality":1.38,"difficulty":4.67,"quality_count":24,"difficulty_count":24},"course_26e66d6ac87698124a229853":{"review_count":3,"quality":1,"difficulty":3.67,"quality_count":3,"difficulty_count":3},"course_364c50303ed83d1234b4ea51":{"review_count":2,"quality":3,"difficulty":4,"quality_count":2,"difficulty_count":2},"course_8634dde81cc95f6c58014087":{"review_count":144,"quality":1.64,"difficulty":4.35,"quality_count":144,"difficulty_count":144},"course_eec4aae06b946a73f1878be4":{"review_count":6,"quality":1.67,"difficulty":4,"quality_count":6,"difficulty_count":6},"course_63c43e7ac8225e2773df74d8":{"review_count":1,"quality":1,"difficulty":4,"quality_count":1,"difficulty_count":1},"course_963da18c52ee0091bf4904b6":{"review_count":2,"quality":3,"difficulty":3.5,"quality_count":2,"difficulty_count":2},"course_7d3f055b392d74c588d35d0b":{"review_count":5,"quality":2.2,"difficulty":3.2,"quality_count":5,"difficulty_count":5},"course_6bc496e4640fd08f71e1b041":{"review_count":5,"quality":2.8,"difficulty":4.2,"quality_count":5,"difficulty_count":5},"course_9a1a7bf1933981bcbaca47ac":{"review_count":2,"quality":3.5,"difficulty":3,"quality_count":2,"difficulty_count":2},"course_cc1de60e9953cdd9c469e9a5":{"review_count":20,"quality":1.7,"difficulty":4,"quality_count":20,"difficulty_count":20},"course_5d98ff5f6adce2207e394dc6":{"review_count":6,"quality":2.67,"difficulty":4.67,"quality_count":6,"difficulty_count":6}},"bayesian_quality":1.8773042582859996,"prior_mean":3.6596857835465957,"prior_weight":20},"grade_statistics":{"gpa":2.947,"graded":3104,"counts":[878,355,749,367,532,165,58],"sections":58},"instructor_url":"/instructors/SEAN_PAUL--instructor_eb98a96c05ac474b321e9170"},{"instructor_uid":"instructor_7ffa168f48f2427ebb92a0ca","source":"madgrades","source_instructor_id":"3987897","identity_basis":"source_id","identity_status":"source_identified","name":"RUIFANG SONG","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":55,"quality":2.51,"difficulty":3.55,"quality_count":55,"difficulty_count":55,"profile_id":"rmp:1618056","source_url":"https://www.ratemyprofessors.com/professor/1618056","match_basis":"exact_name","observed_at":"2026-09-07 16:08:55.082064+00:00","courses":{"course_cc1de60e9953cdd9c469e9a5":{"review_count":39,"quality":2.59,"difficulty":3.56,"quality_count":39,"difficulty_count":39},"course_a133a953d2fc593f17f887bf":{"review_count":1,"quality":4,"difficulty":1,"quality_count":1,"difficulty_count":1},"course_6bc496e4640fd08f71e1b041":{"review_count":1,"quality":3,"difficulty":2,"quality_count":1,"difficulty_count":1}},"bayesian_quality":2.816582875612425,"prior_mean":3.6596857835465957,"prior_weight":20},"grade_statistics":{"gpa":2.732,"graded":1680,"counts":[359,156,475,170,325,107,88],"sections":14},"instructor_url":"/instructors/RUIFANG_SONG"},{"instructor_uid":"instructor_76f9c7d76a0cb5d9c1ddc816","source":"madgrades","source_instructor_id":"3623452","identity_basis":"source_id","identity_status":"source_identified","name":"BING WANG","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":89,"quality":2.67,"difficulty":3.62,"quality_count":89,"difficulty_count":89,"profile_id":"rmp:1848210","source_url":"https://www.ratemyprofessors.com/professor/1848210","match_basis":"exact_name","observed_at":"2026-09-07 16:51:44.932525+00:00","courses":{"course_6bc496e4640fd08f71e1b041":{"review_count":51,"quality":2.98,"difficulty":3.49,"quality_count":51,"difficulty_count":51},"course_3b14f667f980624c1f5bde67":{"review_count":2,"quality":3.5,"difficulty":2.5,"quality_count":2,"difficulty_count":2},"course_1f8e8903c7761a5fe852a4bc":{"review_count":3,"quality":1.67,"difficulty":4.67,"quality_count":3,"difficulty_count":3},"course_9a1a7bf1933981bcbaca47ac":{"review_count":3,"quality":1.33,"difficulty":4.67,"quality_count":3,"difficulty_count":3},"course_eec4aae06b946a73f1878be4":{"review_count":1,"quality":2,"difficulty":4,"quality_count":1,"difficulty_count":1},"course_8634dde81cc95f6c58014087":{"review_count":19,"quality":2.16,"difficulty":3.89,"quality_count":19,"difficulty_count":19},"course_0002a781bc9543f3a2ac1a94":{"review_count":1,"quality":4,"difficulty":2,"quality_count":1,"difficulty_count":1}},"bayesian_quality":2.851593721751669,"prior_mean":3.6596857835465957,"prior_weight":20},"grade_statistics":{"gpa":2.687,"graded":1332,"counts":[288,179,269,150,234,150,62],"sections":20},"instructor_url":"/instructors/BING_WANG--instructor_76f9c7d76a0cb5d9c1ddc816"},{"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"},{"instructor_uid":"instructor_6a6aef5fb4903bdad4de25d1","source":"madgrades","source_instructor_id":"4950921","identity_basis":"source_id","identity_status":"source_identified","name":"GAO CHEN","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":3.491,"graded":57,"counts":[37,6,3,4,4,3,0],"sections":4},"instructor_url":"/instructors/GAO_CHEN"},{"instructor_uid":"instructor_192e932c9d86d7d925e021f3","source":"madgrades","source_instructor_id":"4441095","identity_basis":"source_id","identity_status":"source_identified","name":"ANDREW ZIMMER","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":3.088,"graded":477,"counts":[170,47,146,27,52,19,16],"sections":21},"instructor_url":"/instructors/ANDREW_ZIMMER--instructor_192e932c9d86d7d925e021f3"},{"instructor_uid":"instructor_cd2c0c17cab3cc2b827bfdb2","source":"madgrades","source_instructor_id":"4441628","identity_basis":"source_id","identity_status":"source_identified","name":"ALEX WALDRON","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":30,"quality":2.67,"difficulty":3.67,"quality_count":30,"difficulty_count":30,"profile_id":"rmp:2634041","source_url":"https://www.ratemyprofessors.com/professor/2634041","match_basis":"exact_name","observed_at":"2026-09-07 16:57:02.487550+00:00","courses":{"course_8634dde81cc95f6c58014087":{"review_count":6,"quality":3,"difficulty":4,"quality_count":6,"difficulty_count":6},"course_963da18c52ee0091bf4904b6":{"review_count":2,"quality":3.5,"difficulty":5,"quality_count":2,"difficulty_count":2},"course_cc1de60e9953cdd9c469e9a5":{"review_count":14,"quality":2.29,"difficulty":3.64,"quality_count":14,"difficulty_count":14},"course_0002a781bc9543f3a2ac1a94":{"review_count":3,"quality":2.33,"difficulty":3.33,"quality_count":3,"difficulty_count":3},"course_7d3f055b392d74c588d35d0b":{"review_count":2,"quality":4,"difficulty":2.5,"quality_count":2,"difficulty_count":2},"course_364c50303ed83d1234b4ea51":{"review_count":1,"quality":4,"difficulty":3,"quality_count":1,"difficulty_count":1},"course_4aa5bbed0c86993f5f0dc832":{"review_count":1,"quality":2,"difficulty":3,"quality_count":1,"difficulty_count":1}},"bayesian_quality":3.065874313418638,"prior_mean":3.6596857835465957,"prior_weight":20},"grade_statistics":{"gpa":2.797,"graded":757,"counts":[203,72,199,40,144,68,31],"sections":17},"instructor_url":"/instructors/ALEX_WALDRON--instructor_cd2c0c17cab3cc2b827bfdb2"}],"grades":[{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1074","term_name":"Spring 2007","instructors":["JEFF VIACLOVSKY"],"a":14,"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":14,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1084","term_name":"Spring 2008","instructors":["Sean Paul"],"a":9,"ab":0,"b":0,"bc":0,"c":0,"d":0,"f":0,"satisfactory":0,"unsatisfactory":0,"credit":0,"no_credit":0,"passed":0,"incomplete":1,"no_work":0,"not_reported":0,"other":0,"total":10,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1094","term_name":"Spring 2009","instructors":["JEFF VIACLOVSKY"],"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 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1104","term_name":"Spring 2010","instructors":["Sean Paul"],"a":8,"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":8,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1114","term_name":"Spring 2011","instructors":["JEFF VIACLOVSKY"],"a":17,"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":17,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1124","term_name":"Spring 2012","instructors":["Sean Paul"],"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 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1134","term_name":"Spring 2013","instructors":["RUIFANG SONG"],"a":11,"ab":1,"b":0,"bc":0,"c":0,"d":0,"f":0,"satisfactory":0,"unsatisfactory":0,"credit":0,"no_credit":0,"passed":0,"incomplete":1,"no_work":0,"not_reported":0,"other":0,"total":13,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1144","term_name":"Spring 2014","instructors":["RUIFANG SONG"],"a":11,"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":11,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1154","term_name":"Spring 2015","instructors":["JEFF VIACLOVSKY"],"a":19,"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":19,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1164","term_name":"Spring 2016","instructors":["Sean Paul"],"a":9,"ab":1,"b":5,"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":15,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1174","term_name":"Spring 2017","instructors":["Jing Wang"],"a":10,"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":10,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1184","term_name":"Spring 2018","instructors":["Sean Paul"],"a":7,"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":7,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1194","term_name":"Spring 2019","instructors":["Sean Paul"],"a":11,"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":11,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1202","term_name":"Fall 2019","instructors":["Tullia Dymarz"],"a":13,"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":13,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1212","term_name":"Fall 2020","instructors":["GAO CHEN"],"a":12,"ab":0,"b":1,"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":15,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1222","term_name":"Fall 2021","instructors":["Andrew Zimmer"],"a":11,"ab":0,"b":1,"bc":0,"c":0,"d":0,"f":0,"satisfactory":0,"unsatisfactory":0,"credit":0,"no_credit":0,"passed":0,"incomplete":0,"no_work":1,"not_reported":0,"other":0,"total":13,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1232","term_name":"Fall 2022","instructors":["Sean Paul"],"a":9,"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":9,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1242","term_name":"Fall 2023","instructors":["Alex Waldron"],"a":11,"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":11,"source_aliases":["MATH 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1254","term_name":"Spring 2025","instructors":["Sean Paul"],"a":4,"ab":7,"b":1,"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 765"]},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","course_id":"MATH 765","course_uid":"course_26e66d6ac87698124a229853","term_id":"1264","term_name":"Spring 2026","instructors":["Alex Waldron"],"a":19,"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":19,"source_aliases":["MATH 765"]}],"statistics":{"gpa":3.95,"graded":250,"counts":[233,9,8,0,0,0,0]},"grade_conflicts":[],"evidence":{"history":["/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_26e66d6ac87698124a229853-0.json"],"traces":["/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_26e66d6ac87698124a229853-0.json"],"reviews":["/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_26e66d6ac87698124a229853-0.json"],"results":["/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_26e66d6ac87698124a229853-0.json"]},"revision":"e243353dcb7d79b7247ced91d69443ef4c2a6349"},"context":{"all":{"term":"","gpa":3.95,"count":250,"university":{"size":4930,"gpaPercentile":86,"countPercentile":64,"medianCount":154,"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":13,"current":false},{"range":"2.8–3.2","count":368,"current":false},{"range":"3.2–3.6","count":1406,"current":false},{"range":"3.6–4.0","count":3143,"current":true}]},"departments":[{"subject":"MATH","comparison":{"size":124,"gpaPercentile":79,"countPercentile":64,"medianCount":169,"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":3,"current":false},{"range":"2.8–3.2","count":34,"current":false},{"range":"3.2–3.6","count":25,"current":false},{"range":"3.6–4.0","count":62,"current":true}]}}]},"terms":{"1074":{"term":"1074","gpa":4,"count":14,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1084":{"term":"1084","gpa":4,"count":9,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1094":{"term":"1094","gpa":4,"count":12,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1104":{"term":"1104","gpa":4,"count":8,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1114":{"term":"1114","gpa":4,"count":17,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1124":{"term":"1124","gpa":4,"count":16,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1134":{"term":"1134","gpa":3.9583333333333335,"count":12,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1144":{"term":"1144","gpa":4,"count":11,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1154":{"term":"1154","gpa":4,"count":19,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1164":{"term":"1164","gpa":3.6333333333333333,"count":15,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1174":{"term":"1174","gpa":4,"count":10,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1184":{"term":"1184","gpa":4,"count":7,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1194":{"term":"1194","gpa":4,"count":11,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1202":{"term":"1202","gpa":4,"count":13,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1212":{"term":"1212","gpa":3.923076923076923,"count":13,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1222":{"term":"1222","gpa":3.9166666666666665,"count":12,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1232":{"term":"1232","gpa":4,"count":9,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1242":{"term":"1242","gpa":4,"count":11,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1254":{"term":"1254","gpa":3.625,"count":12,"university":null,"departments":[{"subject":"MATH","comparison":null}]},"1264":{"term":"1264","gpa":4,"count":19,"university":null,"departments":[{"subject":"MATH","comparison":null}]}},"benchmarks":{"all":{"school":{"size":4930,"gpa":3.6594432835111688,"topShare":81.85777745751224,"count":154},"MATH":{"size":124,"gpa":3.5211720906674615,"topShare":73.82066087869897,"count":169}},"terms":{"1074":{"school":{"size":695,"gpa":3.3616924722887376,"topShare":63.22509110105764,"count":69},"MATH":{"size":17,"gpa":2.821339129045922,"topShare":38.66654769268061,"count":133}},"1084":{"school":{"size":720,"gpa":3.3670742938849725,"topShare":63.42064564712246,"count":70},"MATH":{"size":22,"gpa":2.977459424628873,"topShare":44.52710820759676,"count":88.5}},"1094":{"school":{"size":758,"gpa":3.3891454428111527,"topShare":64.36369814389255,"count":71},"MATH":{"size":19,"gpa":2.861322177541941,"topShare":40.26350030907326,"count":108}},"1104":{"school":{"size":793,"gpa":3.384661458923085,"topShare":64.6614752434143,"count":66},"MATH":{"size":23,"gpa":2.9531575824731964,"topShare":43.549837152646596,"count":98}},"1114":{"school":{"size":804,"gpa":3.3696004653806844,"topShare":64.0389334741844,"count":68},"MATH":{"size":26,"gpa":2.9090822348911582,"topShare":41.14706210117883,"count":83.5}},"1124":{"school":{"size":821,"gpa":3.406589342026613,"topShare":66.35774230127205,"count":67},"MATH":{"size":28,"gpa":2.9109864595893504,"topShare":42.40580272314707,"count":75}},"1134":{"school":{"size":852,"gpa":3.4138934207568203,"topShare":66.35946578182744,"count":66},"MATH":{"size":26,"gpa":2.938004331770204,"topShare":42.318323348030226,"count":83.5}},"1144":{"school":{"size":878,"gpa":3.4092443327803017,"topShare":65.95978235963416,"count":64},"MATH":{"size":30,"gpa":2.926152797086596,"topShare":42.17363619414386,"count":79}},"1154":{"school":{"size":935,"gpa":3.4282378385810093,"topShare":67.66674668721691,"count":63},"MATH":{"size":33,"gpa":2.9834698949629033,"topShare":46.71989715257013,"count":69}},"1164":{"school":{"size":965,"gpa":3.46491230798535,"topShare":69.92376287143657,"count":68},"MATH":{"size":32,"gpa":2.995223360849456,"topShare":46.38098813836469,"count":83}},"1174":{"school":{"size":955,"gpa":3.4597947384071412,"topShare":69.5290038366363,"count":69},"MATH":{"size":32,"gpa":2.992971960864239,"topShare":44.393513280464695,"count":89}},"1184":{"school":{"size":1010,"gpa":3.47925290354517,"topShare":70.86270937115944,"count":68},"MATH":{"size":36,"gpa":3.0650838986714333,"topShare":47.42689290604571,"count":83.5}},"1194":{"school":{"size":1040,"gpa":3.4906527436719808,"topShare":71.74728845515045,"count":67},"MATH":{"size":38,"gpa":3.133406260873163,"topShare":53.17595010634325,"count":71.5}},"1202":{"school":{"size":1102,"gpa":3.5102605987403313,"topShare":72.78244569053733,"count":68},"MATH":{"size":40,"gpa":3.1467748801316944,"topShare":52.57847974231038,"count":90.5}},"1212":{"school":{"size":1111,"gpa":3.5856416028074487,"topShare":77.58926748660845,"count":68},"MATH":{"size":41,"gpa":3.3211331103538813,"topShare":59.85093623917685,"count":87}},"1222":{"school":{"size":1157,"gpa":3.563052311875811,"topShare":76.64869058732418,"count":64},"MATH":{"size":39,"gpa":3.2083447119296955,"topShare":56.75007696473496,"count":63}},"1232":{"school":{"size":1216,"gpa":3.575457431972425,"topShare":77.33712216234007,"count":66},"MATH":{"size":43,"gpa":3.2486774162409366,"topShare":56.56203211471963,"count":69}},"1242":{"school":{"size":1295,"gpa":3.595302892737449,"topShare":78.36291889885307,"count":67},"MATH":{"size":43,"gpa":3.2449031633350183,"topShare":58.03783489438137,"count":80}},"1254":{"school":{"size":1289,"gpa":3.6126423469389106,"topShare":79.48050408754871,"count":66},"MATH":{"size":39,"gpa":3.180435541912479,"topShare":53.878371816747475,"count":89}},"1264":{"school":{"size":1283,"gpa":3.6229729166451925,"topShare":80.13669149396227,"count":66},"MATH":{"size":42,"gpa":3.13598176627681,"topShare":52.25969905887213,"count":80}}}}},"instructorTrends":[{"uid":"instructor_eb98a96c05ac474b321e9170","name":"SEAN PAUL","count":87,"terms":[{"term":"1084","count":9,"sections":1,"gpa":4},{"term":"1104","count":8,"sections":1,"gpa":4},{"term":"1124","count":16,"sections":1,"gpa":4},{"term":"1164","count":15,"sections":1,"gpa":3.6333333333333333},{"term":"1184","count":7,"sections":1,"gpa":4},{"term":"1194","count":11,"sections":1,"gpa":4},{"term":"1232","count":9,"sections":1,"gpa":4},{"term":"1254","count":12,"sections":1,"gpa":3.625}]},{"uid":"instructor_180bf94a3d2f4343128d8704","name":"JEFF VIACLOVSKY","count":62,"terms":[{"term":"1074","count":14,"sections":1,"gpa":4},{"term":"1094","count":12,"sections":1,"gpa":4},{"term":"1114","count":17,"sections":1,"gpa":4},{"term":"1154","count":19,"sections":1,"gpa":4}]},{"uid":"instructor_cd2c0c17cab3cc2b827bfdb2","name":"ALEX WALDRON","count":30,"terms":[{"term":"1242","count":11,"sections":1,"gpa":4},{"term":"1264","count":19,"sections":1,"gpa":4}]},{"uid":"instructor_7ffa168f48f2427ebb92a0ca","name":"RUIFANG SONG","count":23,"terms":[{"term":"1134","count":12,"sections":1,"gpa":3.9583333333333335},{"term":"1144","count":11,"sections":1,"gpa":4}]},{"uid":"instructor_6a6aef5fb4903bdad4de25d1","name":"GAO CHEN","count":13,"terms":[{"term":"1212","count":13,"sections":1,"gpa":3.923076923076923}]},{"uid":"instructor_bc7acc9f38e7d8108854c8c5","name":"TULLIA DYMARZ","count":13,"terms":[{"term":"1202","count":13,"sections":1,"gpa":4}]},{"uid":"instructor_192e932c9d86d7d925e021f3","name":"ANDREW ZIMMER","count":12,"terms":[{"term":"1222","count":12,"sections":1,"gpa":3.9166666666666665}]},{"uid":"instructor_76f9c7d76a0cb5d9c1ddc816","name":"BING WANG","count":10,"terms":[{"term":"1174","count":10,"sections":1,"gpa":4}]}],"following":[],"projection":null}}