[{"run_id":"20260906T231458-5fdd2fff","semester":"1272","observed_at":"2026-09-06 23:14:58.172943+00:00","record_version_id":"9a402a7ad17fe14a5838c467eac5a396c5374a660be9ed5b972bff116eb886d3","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","record_version_id":"9a402a7ad17fe14a5838c467eac5a396c5374a660be9ed5b972bff116eb886d3","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"20261014T203208-0851c9a1","semester":"1274","observed_at":"2026-10-14 17:50:09.728220+00:00","record_version_id":"9b365ab86b39a3eaa3bbd803015db8283dd7fb7542112cb836515bd5b52e19e2","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"b080b6b351150551efe0d775251098b6fd9ac99f68ffd0cacec5f0eccee19e1e","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[{\"catalog_year\":\"2026-2027\",\"observed_at\":\"2026-10-14T17:51:41.022582+00:00\",\"source\":\"catalog\",\"source_url\":\"https://guide.wisc.edu/courses/math/\",\"term\":null,\"text\":\"Recall and state the formal definitions of the mathematical objects and their properties used in complex analysis (e.g., principle branches, conjugates, holomorphic and analytic functions, etc.).\"},{\"catalog_year\":\"2026-2027\",\"observed_at\":\"2026-10-14T17:51:41.022582+00:00\",\"source\":\"catalog\",\"source_url\":\"https://guide.wisc.edu/courses/math/\",\"term\":null,\"text\":\"Use such definitions to argue that a mathematical object does or does not have the condition of being a particular type or having a particular property (e.g., that a function is complex differentiable, that an infinite product converges, classification of singularities, etc.).\"},{\"catalog_year\":\"2026-2027\",\"observed_at\":\"2026-10-14T17:51:41.022582+00:00\",\"source\":\"catalog\",\"source_url\":\"https://guide.wisc.edu/courses/math/\",\"term\":null,\"text\":\"Recall and state the standard theorems of complex analysis (e.g., Cauchy's Integral formula, the maximum modulus principle, the Riemann mapping Theorem), and recall the arguments for these theorems and the underlying logic of their proofs.\"},{\"catalog_year\":\"2026-2027\",\"observed_at\":\"2026-10-14T17:51:41.022582+00:00\",\"source\":\"catalog\",\"source_url\":\"https://guide.wisc.edu/courses/math/\",\"term\":null,\"text\":\"Use such theorems in the context of longer arguments by examining their premises (e.g., computation of real integrals using path integration techniques, computation of residues of meromorphic functions, that a given function has an analytic continuation, etc.).\"},{\"catalog_year\":\"2026-2027\",\"observed_at\":\"2026-10-14T17:51:41.022582+00:00\",\"source\":\"catalog\",\"source_url\":\"https://guide.wisc.edu/courses/math/\",\"term\":null,\"text\":\"Prove or disprove statements related to the above definitions, properties, and theorems using techniques of mathematical argument (direct methods, indirect methods, constructing examples and counterexamples, induction, etc.).\"},{\"catalog_year\":\"2026-2027\",\"observed_at\":\"2026-10-14T17:51:41.022582+00:00\",\"source\":\"catalog\",\"source_url\":\"https://guide.wisc.edu/courses/math/\",\"term\":null,\"text\":\"Convey arguments in oral and written forms using English and appropriate mathematical terminology, notation and grammar.\"},{\"catalog_year\":\"2026-2027\",\"observed_at\":\"2026-10-14T17:51:41.022582+00:00\",\"source\":\"catalog\",\"source_url\":\"https://guide.wisc.edu/courses/math/\",\"term\":null,\"text\":\"Identify applications of course content in current areas of research.\"}]"},{"run_id":"legacy-03b0bbb9723907cf3d1b41cf0bb34837dc398e42","semester":"1262","observed_at":"2025-04-16 05:20:33.104844+00:00","record_version_id":"c3b80b5045eed967692f00e1552ae17068845ee11cdcb11e6aa3801e92e43e1c","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-0837245627eb714ae6bb0375f7abe8f41042011f","semester":"1262","observed_at":"2025-04-16 05:20:33.104844+00:00","record_version_id":"c3b80b5045eed967692f00e1552ae17068845ee11cdcb11e6aa3801e92e43e1c","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-08c92e359bbbc110b0778b7e0b15d6f40000e6b1","semester":"1262","observed_at":"2025-08-21 07:05:14.730696+00:00","record_version_id":"56604557a2eeabd355745df8e41051c8eab53a21f5164e255da762a6cdfb8857","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-0944d76440dc778fbb89626058c10451009ce9c6","semester":"1262","observed_at":"2025-05-21 03:36:18.194118+00:00","record_version_id":"3f4100b7997be8e4e95d4fa0e6030faac89c5f67aa3faadc00280b5a75b9bb02","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-0a7f4bce29c816ef4d3d71b4eb8a2a3e15e33cc1","semester":"1262","observed_at":"2025-06-18 20:04:02.695444+00:00","record_version_id":"944c959b1c88177259d22fcef9fc02e7eaee865a809de0ee629644d3e77b357b","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-0ab917f827a7de22ebdc1087114d377a31c4687b","semester":"1262","observed_at":"2025-05-22 02:11:02.531191+00:00","record_version_id":"f33cfb35f1c23408e4fca7c14027be3e7af36e8b3243e6f2a30b6d125b607524","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-0c40ecab4b6db9333d1f18aef816e3ee659e300c","semester":"1262","observed_at":"2025-05-25 18:02:34.797617+00:00","record_version_id":"b2fdbc58ed887586ea8ffea683e266fd404b19b4025d51361389a1aecca8a035","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-0cb4d29a588ec7f11c7e00b7cf5dc3a0d23d0349","semester":"1266","observed_at":"2026-01-22 01:00:26.555427+00:00","record_version_id":"bd2878dc3d3e242402fdda76bec472d86426658a1c9a5864e6d010c6b56ee0ea","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-11c30ec39e91498cbfcf3a923c53a4b03e387280","semester":"1262","observed_at":"2025-07-20 04:58:26.847117+00:00","record_version_id":"b58ab0362a1ffe6d273a771b17f1811bc74e8c0a8441d586ccd2eb95a32c1607","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-13cd500edf2587e9a3428f326253738fbea965ea","semester":"1264","observed_at":"2025-12-14 04:50:04.653658+00:00","record_version_id":"0461457fd36f0a870cbd1048c964e3741b1017b42adbf70ba465a4f0987befaa","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-1da08b2de39f05e6bc877c189fc2fd6eeda563f5","semester":"1262","observed_at":"2025-07-01 00:03:56.707251+00:00","record_version_id":"c72c692d01771ff96013acf67d7804a5d6ded774ce1b050059a76315d1547c4f","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-2031af47efe133b0e7877f433286ff07385afc41","semester":"1262","observed_at":"2025-07-02 20:16:45.749584+00:00","record_version_id":"3e4de2b0170e1c654ca9de60ddfa55a3ab1091c0d1c7ff45a56e9135a7493e07","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-238eba6f32fbc30407f616dd0628ff02a2a824dd","semester":"1262","observed_at":"2025-08-17 05:15:07.788352+00:00","record_version_id":"505156a97cde2a6a811495ddb595e9abdad4a7c8e3adad204997eaca7e24863e","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-25f0ff56bc4d80f8a8afa1a0bcce8dae6fddb5e5","semester":"1262","observed_at":"2025-05-25 17:20:25.942090+00:00","record_version_id":"b2fdbc58ed887586ea8ffea683e266fd404b19b4025d51361389a1aecca8a035","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-2923f91826ce253b7aeefa9f75b4a39fe4c80ff0","semester":"1262","observed_at":"2025-08-10 05:10:25.938416+00:00","record_version_id":"1a4dae1c67eec31c881f4391fec4c00cf357eccd284f3df046de8306e0a111d3","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-2a05214a4023e0157fa6f7d188c85308f714176c","semester":"1262","observed_at":"2025-09-07 04:56:38.255315+00:00","record_version_id":"ab87673280000aee374c89f6c7a359a058040fcacf7fcd5b3010336e9f9cc553","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-2b1b8e39131de92b94620b25c5bbb25690efed4c","semester":"1262","observed_at":"2025-06-01 07:54:53.913454+00:00","record_version_id":"844447d1bbce56e96e768e4e8b65f91149afe49bdff9aed1b0a110f45d01e06a","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-33a1225644e5a5855d60f66e65413946e72fedf4","semester":"1262","observed_at":"2025-06-22 01:52:05.152650+00:00","record_version_id":"a49c81a24bbb70b2c497614faba46705099656b63768258384261f223a8793f6","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-3b89c83dbf5208e13756184de1f2b2d0c09af35f","semester":"1262","observed_at":"2025-06-30 06:40:10.235522+00:00","record_version_id":"c444e7b64e1956087e1f0753e82cfb75c3bbd74c90c9631c4928f3aa848158cb","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-3c3eebf7f35c39364b445a2fa5a112ce28dbb4a1","semester":"1262","observed_at":"2025-06-01 17:03:59.062985+00:00","record_version_id":"fb131e2611f2deaa855eaa6b15364fca48c0d74099117cb46301a90bd5108c6c","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-3fa4dd71391f1c9cf4ab2216680bbc428689f92d","semester":"1262","observed_at":"2025-05-25 01:15:58.180530+00:00","record_version_id":"39cc4754b4ed9bf84a39132ca995a61005724d536921e96c97c8658f1a4e7955","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-4040aa216da722a34483f68fc1e129ea571ae08d","semester":"1262","observed_at":"2025-06-01 07:27:39.695506+00:00","record_version_id":"8feae4496ee598ef7475d20067fd2c882aff4ff0ed2957083ba8be774b12c802","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-454d53cd690294459f8ad0793cc3ed562060e56c","semester":"1262","observed_at":"2025-05-25 01:34:00.536004+00:00","record_version_id":"f5a70cd932630c0b7f6e149aba221de669a984b84dc4575a6d5162cc7e6b5883","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-486f091e051fdb4ccdb80ee7b4fb0a5814510324","semester":"1264","observed_at":"2025-11-16 05:32:31.273726+00:00","record_version_id":"42c263f7d15d8e3e72f074e17c25917ab0cecb87e721049b094324b9a083f26d","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-50393cfc5fd5598d4f4731ef1919f2ff53af07d9","semester":"1262","observed_at":"2025-06-30 06:05:57.438846+00:00","record_version_id":"cee45d80fd0dbd2dc9f7530dcec4b03b4d1268b9814be61269b26c81cb1ffbb8","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-50f6947786b208c800db8bbd0cec84a8f0f187d2","semester":"1262","observed_at":"2025-06-02 03:49:42.915428+00:00","record_version_id":"5f7ec1a3accc4deb36c9c69b96510549fbc266826d4a8d13d60a853cce438347","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-51d86ed4082dced3803c295419b0ec8440942016","semester":"1264","observed_at":"2025-11-12 04:50:41.141307+00:00","record_version_id":"02d57a380132555ee106279bb8bec10f1e59eb0dd4376779da96394f4cb234de","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-53101bd1c10db0d00d094e4c9154d4c244ff23d9","semester":"1262","observed_at":"2025-10-05 04:58:05.366968+00:00","record_version_id":"ae08e9d5ef1676b88b02ced0e3efb241c5adb5c703d5dd5b28d906b44c42fa8b","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-58751151c564e11c5cb8aedd3a2d3527c22f73eb","semester":"1262","observed_at":"2025-06-01 06:59:01.536576+00:00","record_version_id":"33f5072fe367d9f6159d47648c128cf0c4df6320df3f3ba0e46528e9920f9ed9","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-5c4c8d3701a333ba4ddadef7d0b5dde8440fcdf0","semester":"1262","observed_at":"2025-06-01 01:57:51.256704+00:00","record_version_id":"0a47611d37ad4f54f6cc52c7fa293293612cbe33ffbbfe46d73e83f17d663d51","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-5d20d9f81651d3c83fcaa2fd10870ce6e5d5a685","semester":"1262","observed_at":"2025-05-21 16:48:48.484741+00:00","record_version_id":"b79885e48ddbadc2e27c479cf728ba281d16bd02fb17581cb0bc86d23beef193","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-5feaebf2ab37051c86ad360cc0fa0d7e0e2ea295","semester":"1262","observed_at":"2025-05-24 15:58:23.378859+00:00","record_version_id":"46e4755a644bacbb42d7abdc03c1c3e648d56fac1a36d752f528568bc9b3c2e7","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-60949965544fce098cc006354e201149005fb77b","semester":"1264","observed_at":"2025-10-26 05:07:14.077864+00:00","record_version_id":"c5a9735cf01b5c76d013b8c14910ca9756eec29355e58cb3c59bc79611035e6e","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-639225ac3addf8522f1d30cb4fe26054ea7f8c49","semester":"1262","observed_at":"2025-06-01 08:14:42.497608+00:00","record_version_id":"0d4a13ecd6a947692fe06eb36f6dea10d4f097f9c8f4de9e55c4cbe8e6caa0a0","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-64093b17b3a9c67a41aa33eb37adb53ec38df714","semester":"1262","observed_at":"2025-05-22 02:11:02.531191+00:00","record_version_id":"8492fb1e1f54f7abeedb6c64e5444f35959592fc44ed837a412bef7be406d14a","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-6885b56099f55e08aa0205546369fb0381d50e13","semester":"1262","observed_at":"2025-07-13 04:59:22.367394+00:00","record_version_id":"88e9efc2a67f9fe02c36e1a9d6b1898931a29d0835902b015004c4eb28f8b6c6","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-69d4b2b16e8268f75b6390b3a0e2ce8bf73999da","semester":"1262","observed_at":"2025-06-30 03:21:29.925498+00:00","record_version_id":"1a44a8c68f142cd7e80e31658ea15530a7e588f5c781c822678946dec1ff2293","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-6b29c3e0673b2f9a736d2363db5409e03d5b3ed4","semester":"1264","observed_at":"2025-12-03 12:33:41.418072+00:00","record_version_id":"def8705baaaac8665d83860e36e46b88abfbb06c80e165d847a6dfc2eab6cb30","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-73259984748de484976ef2ad56ad7ab3d4cb4518","semester":"1262","observed_at":"2025-06-26 08:27:56.461216+00:00","record_version_id":"607761d2b9dcab533db322ca861cf762ae15ee37e4ccbc60b678e225f5d9c0f7","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-741602fbc6252c232a0b9e6bc1a9ae3101625f5a","semester":"1262","observed_at":"2025-06-30 22:49:32.522034+00:00","record_version_id":"6f11263d89f8661460c928e0dc6760c28b7d0a812959f14d84a5791aecf130e5","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-7774f45558276ec29bf626e58fffb4a27bdbb2a9","semester":"1264","observed_at":"2025-11-01 11:49:36.359151+00:00","record_version_id":"52316c2a5551dc89992485048051f4599609e9b6f21c5456abae51c87e470b3b","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-7ab7c5e783fc8ebef8b8ee8cea019ee37a72ce74","semester":"1262","observed_at":"2025-09-28 04:58:07.340658+00:00","record_version_id":"1b47c60d8ea84d9439cebbc8432c8aa142a15c86820a6aae4148e1b094ceb370","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-7b2f22d83ea05055ab90dcb77dc802382cccc6f7","semester":"1262","observed_at":"2025-05-21 17:56:46.096741+00:00","record_version_id":"9bece4e46a70378e34194abfda708766fdb35fb3ac090adaf545ba14655827a4","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-7ca1175502be18eb51f7b016818a884a43fd4ebb","semester":"1262","observed_at":"2025-07-29 06:28:23.644795+00:00","record_version_id":"58fc4405d522fe65545ea6f62e231e70bf5812176478bdbaa466642c3b6d9840","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-7d8cee5e42602ad9ba5dc0322085af2fa0dffaac","semester":"1262","observed_at":"2025-05-22 01:15:19.291664+00:00","record_version_id":"9db78c64d33b353e6554f50805a829a5eff6d19a391e54520e1b1efab87b46f1","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-81a0d6a7f668c98c59bd05fa988aa079c5ad1f68","semester":"1262","observed_at":"2025-05-31 07:49:50.419452+00:00","record_version_id":"e7195f153b44465a264066b8795f1e8ba06c5743137c225a326caeac1c03dc43","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-82f31c08c746a214872494cde6ecaeb9330441b4","semester":"1262","observed_at":"2025-06-17 21:26:08.547156+00:00","record_version_id":"c4c3a11528f4e062ebb36a105c9fa37ed86c1221bf27691767e9b535857bb6e0","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-84c248343c5a99ab42c5616c594812a5e3e31cbb","semester":"1262","observed_at":"2025-07-04 06:00:07.487827+00:00","record_version_id":"4e10c7ebcaa4c79a653b2fb14f9e0b096e27c36c5d5648c2e5a780d204150a77","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-86334e7275e315853287e8580c35456c68df800b","semester":"1262","observed_at":"2025-05-22 06:53:03.336354+00:00","record_version_id":"f68f4368ac6c15cf21e7d4fabab2cef88ca564dd7bbd251c9243b352869bf525","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-8686dc1664f93a6c05f50321410961b39b12f91b","semester":"1262","observed_at":"2025-05-28 10:17:41.595894+00:00","record_version_id":"1ad97d6d97d869208d9e393b8db3611f32b79c735fa48aef4ba551f1f6f34991","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-86d941366886c9a14a2581c04e20d0bdd25e1b02","semester":"1262","observed_at":"2025-08-31 04:54:14.656039+00:00","record_version_id":"20d52d2f218918eda8953b2c624b8f9c806ef5d670ba7682e775a2d83dda452e","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-8ba1d2e6cfbb1525b4f9f769ec164fb6ad0f237a","semester":"1262","observed_at":"2025-06-02 05:22:45.010398+00:00","record_version_id":"e3dac6a3176bcc9ae4f1492087ac54e9f908a589780cf6b14cf5ff780868a2d3","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-90e5aa456689a3b222016c05c319bbcd0bddd453","semester":"1262","observed_at":"2025-05-25 02:00:10.037905+00:00","record_version_id":"f47769bd63525ee96be781167c483b2b12f12972252cadf6972a925999379512","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-92d960aa7e4cd6e4c9ac8b2e232092904038e9e4","semester":"1262","observed_at":"2025-06-08 01:50:46.451351+00:00","record_version_id":"a4e72746ea68f9c1b7ac7aa01ef6d9876f98b0f2a50359689661a21d3914ed75","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-94002ae588a8f71eca6d64105f2e603e8587293b","semester":"1262","observed_at":"2025-05-21 09:01:16.021508+00:00","record_version_id":"e484557de8086ab6630c13f8bf6ddec555d1992e6d62b9e278ee94e13e5a5369","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-9dd575e013c5c6e000ab3ad2d1288cc1dd9c96dc","semester":"1264","observed_at":"2025-12-21 04:47:46.589081+00:00","record_version_id":"a8f118eac4b69bc5e93fa9d0a83976f66f1fb76df8b3587f02f67ea0109f6e0e","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-a1ea26ed78cbd6e94bc3221e50a6ed9b6bf43871","semester":"1262","observed_at":"2025-05-25 09:16:55.180581+00:00","record_version_id":"00b035855539d5e99fe219ac595c9d4570febcd6ab4940787485b5e7e22b98a4","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-a76a3505853d5ea9c13bb98472b87361d469e2ee","semester":"1262","observed_at":"2025-05-28 18:03:41.793846+00:00","record_version_id":"df58a1b6f883641174f4884c4560894b3d88dd3b342382bd24a9196bb2dadb04","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-b285d591f6acf3aa1910e02edc297664db86eb8c","semester":"1262","observed_at":"2025-06-10 22:48:22.460295+00:00","record_version_id":"4cbf9780c7ffc616dab32046ec88de0304f50697f13cd2af2f6f77280696dece","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-b79af756e4f00ba98231feb859ed8e98239eb811","semester":"1262","observed_at":"2025-05-22 02:47:56.931581+00:00","record_version_id":"ffafa244955032c0dbf8b38fd0c92d0765015145060177638935fa3c2e180a54","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-b89e05b94730c6471439082d9279c0a834a4aeec","semester":"1262","observed_at":"2025-08-26 20:25:42.325239+00:00","record_version_id":"5f0d516df42d2cdda7478f81c63541b21d3005d8ff94e52f640ccaeab0fe011b","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-b9279a12d1f2688df9e556183c94d41a89e431dc","semester":"1262","observed_at":"2025-07-06 01:49:47.203835+00:00","record_version_id":"9465d5baa0c42d5edaeb8f1e42b04c8ecfe057a8bfa08e4e89837a3cc7588dd2","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-bbdc905e96cc681a5e9a8b02c795b682206e36d1","semester":"1262","observed_at":"2025-06-25 08:02:45.445730+00:00","record_version_id":"d175d017818c7d67d6c73769e28b8a2f6aa2dd7c95e61d9640bbd89cd26bb46e","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-bde225b5243a13d81827aa173e39c78a652b54a0","semester":"1262","observed_at":"2025-05-23 07:22:33.219345+00:00","record_version_id":"62aae3ab9dcc9e4ac9f83916c3cbde0da6615d0fa6f7b664d8521aef303b895d","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-c1fac4cbfde737f4f4ac02cdf15e6f5a9b5b676d","semester":"1262","observed_at":"2025-05-22 01:15:19.291664+00:00","record_version_id":"9db78c64d33b353e6554f50805a829a5eff6d19a391e54520e1b1efab87b46f1","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-c6b62be45f8a13cba109ef2a7741b9cd9a6b8272","semester":"1262","observed_at":"2025-08-24 08:48:09.035112+00:00","record_version_id":"f3a42f7c88856a5716ce81c6f6c358a87aedb8057b88eaaac1e8a55fe5b7fc6a","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-cc83f62cb6db61f39320916d819ad48ce55cd96d","semester":"1262","observed_at":"2025-05-22 00:45:35.735230+00:00","record_version_id":"be1ef9e00024f3539c15a6161dd22cceb270f30c5dbca64707702d2187f0875e","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-d33818a01b6b4c5e2902e704da6e5b713742d4dc","semester":"1262","observed_at":"2025-10-13 10:46:24.251475+00:00","record_version_id":"0291802493d77736764d91a7996a9e16d0ee10d46425c6c716376a75bbb7fe7e","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-d3c17db9832d3064916046caf891dd23f10b1bb9","semester":"1262","observed_at":"2025-08-26 11:30:42.288639+00:00","record_version_id":"7722a54c863175c635d1232d21f455aa665f7a263e158dca8e178261fc5e2ee5","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-d4ee226dc44268e9b6767fb9f5f20343322f494b","semester":"1262","observed_at":"2025-06-15 01:52:23.911697+00:00","record_version_id":"cac1e1b0d008cacb0df1deb9d6ac8158107aa236cb7e306b697bcd19cdd43a36","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-d8f9fc7f136e2033556d9d65bbdbdf33425dbdc9","semester":"1262","observed_at":"2025-05-28 16:48:12.400438+00:00","record_version_id":"d60c9f74a072aebe509056072b60b1177deffa27c309c74d82b6e1086ed99479","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-dbbc9739c616c3846b2e796e00a36fa41225f7d8","semester":"1262","observed_at":"2025-06-01 17:47:19.325144+00:00","record_version_id":"e042b2323b740b498994afeafd8467fa7969c36bb0159dd5cc60f195d4e2aa60","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-dbe5f2d24b48c3177297a3d69c553cc9d1194bac","semester":"1262","observed_at":"2025-09-14 05:00:27.366070+00:00","record_version_id":"2fcab35ad67b29e81ba6e31b66ade2f9274b3f0e017cdf73668c2427d4b1eed1","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-dd357dc2758e9e282c30988a527ce37de92593b9","semester":"1264","observed_at":"2025-10-19 01:39:41.951404+00:00","record_version_id":"528346a7fa9678f5f5dc1fbf1d788f6ce44036685ce1aad7969a05da3fbac6a7","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-de74de559e409a3fe668685e28043b888d2e6841","semester":"1262","observed_at":"2025-06-27 07:38:50.882897+00:00","record_version_id":"13ac9afcd446f3f98d0be18bf3d36032d75b322a3c3af4ee66945694d2835fc0","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-deca7188cf536ade3203cd88b52a45e92a059617","semester":"1262","observed_at":"2025-06-27 00:37:46.087071+00:00","record_version_id":"aed59a82219e24d5634437d111946f4367f3925889dd9d276164b90c62a16682","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-df60fa9ac3931c5612b0fa641b7a6f5fbec86fab","semester":"1262","observed_at":"2025-05-24 06:36:37.554678+00:00","record_version_id":"396394abf79986a8c80ac7987e0bfb087aa16b4d41392a732baf0078e34545dd","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-e339da2d849aaf8bb4dceca07a84728af23cf755","semester":"1262","observed_at":"2025-07-23 08:49:22.748925+00:00","record_version_id":"8f1911ef17355928e5350f26491e167550528be5ea526b4cca17e246281be2d0","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-e934b1784835f5d36ae9b7ef0992b11e72c39142","semester":"1262","observed_at":"2025-06-01 06:21:25.219533+00:00","record_version_id":"d0fb1ec39b28a4aff12595bc957d1faad9254e06f662c3d77f872c721196caf3","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-ef471690c082448deebd2687eab84b0b78813c36","semester":"1262","observed_at":"2025-06-29 01:47:56.317645+00:00","record_version_id":"0dff3f31e8f1ef26aa5746879eebf53a3a78c063b1eaffac095c377be9976e8c","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-efc4e8e2cd7c3f68e059a308990c00c77c7611eb","semester":"1264","observed_at":"2025-10-16 05:48:13.935141+00:00","record_version_id":"1f19af965a45b77bd63f00432105b97400cee256a442379cfc2a13c411106dbe","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"},{"run_id":"legacy-f18b7749725097d41f69c60779ff38cf073b93b3","semester":"1262","observed_at":"2025-05-21 19:52:03.259353+00:00","record_version_id":"b0cb71939ca1d81f3dccb393834705cc2f0d8c3988f9cbe284a86107ff9e14b7","course_id":"MATH 623","course_uid":"course_1351409acfb0d317ef52fedf","catalog_version_id":"a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4","course_number":623,"subjects":["MATH"],"title":"COMPLEX ANALYSIS","description":"Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.","requirements_text":"MATH 321or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"}]