[{"run_id":"20260906T231458-5fdd2fff","semester":"1272","observed_at":"2026-09-06 23:14:58.172943+00:00","record_version_id":"a570bed38cc4e075e2d9bf152f393119dac2ee79dee93dfdf437a12b2af38b29","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"7abb8aff5e6fc3384b87620e698e5ada995e402acc7c6e0e552dad22c92a07ff","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous, proof-based introduction to ordinary differential equations and dynamical systems.","requirements_text":"(MATH 320,340,341,345, or375) and (MATH 322,376,421, or521), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)","official_learning_outcomes_json":"[]"},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","record_version_id":"a570bed38cc4e075e2d9bf152f393119dac2ee79dee93dfdf437a12b2af38b29","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"7abb8aff5e6fc3384b87620e698e5ada995e402acc7c6e0e552dad22c92a07ff","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous, proof-based introduction to ordinary differential equations and dynamical systems.","requirements_text":"(MATH 320,340,341,345, or375) and (MATH 322,376,421, or521), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)","official_learning_outcomes_json":"[]"},{"run_id":"20261014T203208-0851c9a1","semester":"1274","observed_at":"2026-10-14 17:50:09.728220+00:00","record_version_id":"d732865aad93b6e90c2b751e781819606ec00ec8d8f34b336448bb5e59cc1b3d","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"ab4c4a9209dee29a77118b2da04fc34d434f6ce43851efdbe013a9735546d26c","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous, proof-based introduction to ordinary differential equations and dynamical systems.","requirements_text":"(MATH 320,340,341,345, or375) and (MATH 322,376,421, or521), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)","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 ordinary differential equations (e.g., systems of differential equations, dependence on initial conditions, exponentials of matrices, Lyapunov 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 a solution to an ode, local and global stability of an equilibrium, that an initial value problem has a unique solution, 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 ordinary differential equations (e.g., the existence and uniqueness theorem, Hartman-Grobman theorem). Moreover, 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., differentiable dependence upon initial conditions, checking stability via Lyapunov 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\":\"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, 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":"9181b4b9c4be899ee20564bb59fbe763129d668a10c9ef3c4b470e0ffdda440d","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"9181b4b9c4be899ee20564bb59fbe763129d668a10c9ef3c4b470e0ffdda440d","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"2e3531ee73157b343ac1d78c17390984574343f2e5abf8d0a2debe2223924829","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"d3e0b32e9a311367afbb632943899809d07a7df600395e9fe7d7cc50c3268448","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"7d05ed805d5171874d74a7aae58d447b4246b41b9a8d83a6df47a4a1228f0e69","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"ac9106b1edcb3e5a4ad364388f0ce1e703e1cf7d8fb426272c064218fe99d603","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"52f41a692d7c1b176b528d2d03ad2b562f4a7d2b83745804ad63fb546d72cfb5","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"27491aa8ead49cf57a5ebb442b38d669c04211a834f299b71be3c1ea0da5ade3","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"add06cc9eacf1dd8f836f754096bfa7fdaf27bf0909bcaae13975b8c5b61cd6c","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"9803ba84a0a25e158a009959ac0f17fe7ba6a319b1b19f827221d8264e76062d","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"5f8913a3fa04364ef23d1fbe913fb19111c5b9b35c985a0938a2878ad12b3dc6","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"4c2fc9633e21423d4e9c53a618826be97b7d3773fddcfe9e632065caea045aca","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"99f9bdd2ddc7d48885e13a077a7dcb44f5248dab90f3570f788374d50684ce0e","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"d4e2420727eb352e8c9fd7036cab1d7d81124a780f36c7f3ebd2bf2a97d9cf11","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"0f8003ff54a35e13a512b78760809d6a16b2c90742042a7c6019ee7648dd58a6","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"13905d6cce93e6916693331910d895ca0000f26412a5b7cb32d0ff67ed969473","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"2c7b34df7a444eda25dcc7d95cd36d9484b950289033a07edcae96f4985ffd7e","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"9958c70b8a2e74ee1c8349d998ef641421b8a8a7f74e8066752e19485b8ab3ef","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"eea3e343b6c1873cd80f73e380dbb9e764f9d065aa5b94c35f777df6a410d994","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"3ef3ebb1724b3fdaab51094d4e019beda54e5422643ee32ad3291ee53a667abe","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"84cf04157346a2be6ac274824ba0b95d17c62b0d281cd9554a78f3a1b7c81bf8","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"ac466962276eb2b805ec713f338a2b8ac4da7774ddaa02aa5d9b19b8dc681c92","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"8f97b3dd80bfd02fe39ce87ba37911987b294d50fe563426d18c901a653cbc64","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"50e3d01621066c88a97aa0deb762088e2797c1b3acd92d8df7f337e41dbc9470","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"c4770616a2777d896f2007aca459759f6f0c804bb1fb9f3c9f22b91a24c99695","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"ea14884e0d2abd6591cb7313e048ee46c218aa9e32384a93e69ac36a60dd8834","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"5487e61c361740e21577477889425bbf22ff4ffe5cd6c74fc54ee71ba0a579ca","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"acd11dae1ae683a795a3b5145506f5ab08a6c81572280ae2655f2799bfc1bd86","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"2f79b700fac0ecfe2a37bdc7b1f3f59b366bd5af8b3e0600d3e16989d6d85f7a","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"8cecd1be48e4327fe0b38b8616a7198901a3b6697f7c5709a9bca9e4ba7799bf","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"4efba0a2fde3e02adc4f25f9badbb21e460a32736bfbc7bbef0f8de2c0a71b3c","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"494ed0096680247127ff2b921dd005f7b957a8fb501ae385a68662a28d44cd73","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"72133fa1bd91bdcb93d1b29469eb3aa5f8d106a4b49fb2374c7153bbc92edc8b","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"552366b9389900819ed7cad6dcd685574cebc6910a577c626bf8eb88d1b4bd7b","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"2a8f9769755056aef9d8b317ff95a27fe06b6cab1cbb7f5ebdb860543aa9ca85","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"fc5a0a0efae1a00d57be3d0177b8a158bd24fcd50b5bc2ed4f4a8904dd25dc56","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"c70e562a65c6bc8899944daedf45a6aaa196b406688bfe59fb89db11870f72a7","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"70e2d2b58abb0de9afd6d17c4c6b7c32749f61cd82710b33ba45ca4d575d9379","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"2b5b53747c3bb672e12cadcc24f21038d307eba97e55db39656a2af0fe13acdc","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"b3909c0265ab40bd0d84a6d21706b0556065887134de97b4d9854b3564864595","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"8b423b12dfec720414e59982c488fe6308c2742ac378c18c9461d613cc26299e","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"799d3b5d2d426d71dbbc99464957367b719d7e84536021a65691bd34023ac8f5","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"e9a5a5515c58e6b8057c37d839e565a791014320644d6feb12fc7c60876f1941","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"ba933fde3413703aa8a08d98659058c78a929d52588169e4436c8e761f129cee","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"5550b189de6407def415452fa97d755dfe2122e64a1b3dfa7ee90256697c483e","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"89f7e9d05bb5e456908945911c7f22ee7ab01dee5f26f861510f765bfd5edb19","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"bec9b018e0d40264d0d166da91a616ab8b2aa83930a4d579f4ab3a9e32fd5b60","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"c9a538f22a01b5943b844b42ed89e694586b541de555d1cdbdd256312720af8b","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"b2380a613629a8e0ac84294e18802c51e04be36d332df3b2074471975869ab42","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"6be301a4c4edf8b9f5e49d34ebd146e5310a570defbae9bf7ade7f782676ee90","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"0b10ec95506f97b17660cabb56129df8149813522a24afabdd4eccd3f0a1ae20","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"52f201bd25f8fc90059e2f648a6a85d54f57611669ebff93b9f9daac957a422d","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"38f19cfa5575160d4fd95e36c433c75449f757ead7beab02c4488fba1c94d8b2","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"54ab63707e5b9db128709e24a1387ef649f3ec3e961253a0f53b50cc6d6d4ce1","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"34ce8fa8e08d7458621f9821e3d106afe3be7e38c46483dcf782f7444da3081f","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"a9317959955d105b51286538dcf6eb9cf087e545f8051b31991d5e038c98f468","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"7433a2de3ba8e09321fdf8a539511c82dc1d2efb6b7f73601bfe58e8f3db9d63","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"9e5765695334ad60c8fc93666c445216dc3be083e92d6f8d0c3254c4dcb33367","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"bc7e2618fb4e232b98ea7b828a4f5be21ba2f6aba91ea2d13fcc5c282e6273ad","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"04a1e217664c1c4ab8ee7df8d925652708d2dc9405b7f27a78a46a6e29f880cc","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"359ff11bc2f52a140379868fbe126f4304950b215789b5db63952ce09a429ab6","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"35336db50ef2ea76257bbaee580782a989fecd3d9a01e328a012d0c104d8f95d","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"aea1fb47ac0532317ad3455e06d50c9f547d1d24a27aebe36a49856dbe25f040","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"c8b0f5e1e6545d82cc2afa87c45e5eb210011960918e32a2af1820e05534426f","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"5550b189de6407def415452fa97d755dfe2122e64a1b3dfa7ee90256697c483e","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"a77c75b59dc6b659ee4dc745bfba529763341a24399c7279c1e24455c83ca7de","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"7a0185db4685af12fd0b24d8c9cbc1f0f1ad8008264ff4186debcac2f93c1804","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"a2cc94ff9e52e1b77f25427278918f3a7604dba6e3130f99e1a5933b71a83eb2","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"060fd3703d2617225e147647e26eb390229b19bc6741031390b00a7e47ceb2c0","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"10250e9c82be66fd50f2c83665a1385b995ab903fa9e5fd2ee0eb073cb04c007","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"f9679d94b3aecf7fdd06ef15d2079e5f2b0aa9c9c23fd069460183f844c56a6c","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"82abe2e1702ecd3ab937115f8b77b16ee1635147d92b0e4368a960a0a0ea2221","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"247fbbb3beef9fc07ed69023221d57cda18c797cf801d9a85774e29bc01f3442","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"a5c3f6fb879ab5b763d0803b0a5bc497f257649b2a7fdeffc671ad458bfa07cf","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"9ce1432abf3ba3ae7c20a329e2ee71d7341e00d4de325e1ad3e00a762965b746","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"1db43dd1082a9b036cdd49b42f8e4c67caeab3dcc31c72921cc94dedebc52907","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"9c5be6e762ff9e1b79d7b7a832eb5d83f9903379aafb42a4f3a9aad61f77b42a","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"b6c8f8e6ffe37222517a7c9ba75380d4aeb2534148dc569b2edef5bd0a3d7fdd","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"390c0f82d3155ad0d3392fa6d8053fb59d04e20e002fb236d927e708b907b24c","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"fa30c45d800d9ae1a85c65f5ef45b039c3cb851277e0f95d69838743e97ba16b","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"d29b4e59ff37a8d25e4ea25f05ccf5b0e3118d05689e6bbf55d1a54995685094","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or 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":"513e949fd3a20ea6a20c9b7c1e6e375634d451487dbd7a8a4e9784c79958afbd","course_id":"MATH 519","course_uid":"course_cdda28fe1e1896676250b6f8","catalog_version_id":"1bbf123adc9eaf862bdb026d9477023412e12d864a11480c48b5a0bd41debea0","course_number":519,"subjects":["MATH"],"title":"ORDINARY DIFFERENTIAL EQUATIONS","description":"Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.","requirements_text":"(MATH 320,340,341, or375) and (MATH 322,376,421, or521) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program","official_learning_outcomes_json":"[]"}]