[{"run_id":"20260906T231458-5fdd2fff","semester":"1272","observed_at":"2026-09-06 23:14:58.172943+00:00","record_version_id":"b854f850e164f62d3f63e886b5d8bc77eb98a46e360c310cf506729802b1b23b","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"b45aca90c4131fd9a9539ab3a0833927427135e3799bb6625088fdc8043590ba","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311, orMATH 531) and (MATH 320,340,341,345,375,421, or531), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)"},{"run_id":"20260907T155543-ce3781c4","semester":"1272","observed_at":"2026-09-07 15:55:43.033547+00:00","record_version_id":"b854f850e164f62d3f63e886b5d8bc77eb98a46e360c310cf506729802b1b23b","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"b45aca90c4131fd9a9539ab3a0833927427135e3799bb6625088fdc8043590ba","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311, orMATH 531) and (MATH 320,340,341,345,375,421, or531), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)"},{"run_id":"legacy-03b0bbb9723907cf3d1b41cf0bb34837dc398e42","semester":"1262","observed_at":"2025-04-16 05:20:33.104844+00:00","record_version_id":"e925e93af729211326776618fdf3bd4ec42126052adf9e11319ff3038c65333c","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-0837245627eb714ae6bb0375f7abe8f41042011f","semester":"1262","observed_at":"2025-04-16 05:20:33.104844+00:00","record_version_id":"e925e93af729211326776618fdf3bd4ec42126052adf9e11319ff3038c65333c","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-08c92e359bbbc110b0778b7e0b15d6f40000e6b1","semester":"1262","observed_at":"2025-08-21 07:05:14.730696+00:00","record_version_id":"786d4d70d316fb1e96c4d4bd4b14d11caf41211f4287814dd5939bf4bca2941c","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-0944d76440dc778fbb89626058c10451009ce9c6","semester":"1262","observed_at":"2025-05-21 03:36:18.194118+00:00","record_version_id":"6db654d9e5d23cfe24aea51ba2f430a1c5108dc5a0ae86f2570ead176f1f9fca","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-0a7f4bce29c816ef4d3d71b4eb8a2a3e15e33cc1","semester":"1262","observed_at":"2025-06-18 20:04:02.695444+00:00","record_version_id":"846efae82abb87d6427ebfdf0839ad7d39389050b863d270c4db73c172b04994","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-0ab917f827a7de22ebdc1087114d377a31c4687b","semester":"1262","observed_at":"2025-05-22 02:11:02.531191+00:00","record_version_id":"2484b5c538949b9606a5b0bf82d77241c9009de328fc4c26ca827d862e3b14af","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-0c40ecab4b6db9333d1f18aef816e3ee659e300c","semester":"1262","observed_at":"2025-05-25 18:02:34.797617+00:00","record_version_id":"dcd6e452e4adc3b9392190ac2e1ef70973e67603b008aa649565bcfea2a58fe6","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-0cb4d29a588ec7f11c7e00b7cf5dc3a0d23d0349","semester":"1266","observed_at":"2026-01-22 01:00:26.555427+00:00","record_version_id":"00e241180b7b83ec7c195afd8afcf7bb632b9af0f6f08770020ad888e8dfec3d","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-11c30ec39e91498cbfcf3a923c53a4b03e387280","semester":"1262","observed_at":"2025-07-20 04:58:26.847117+00:00","record_version_id":"fd87704d58a8aa75729cdca985bbf5635826911b8f38e3ac6256bd2e21991ae4","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-13cd500edf2587e9a3428f326253738fbea965ea","semester":"1264","observed_at":"2025-12-14 04:50:04.653658+00:00","record_version_id":"03706b3dcecffddab934cfd94af15074d39060e60b3c051126942f3d97fa5617","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-1da08b2de39f05e6bc877c189fc2fd6eeda563f5","semester":"1262","observed_at":"2025-07-01 00:03:56.707251+00:00","record_version_id":"515c0a08b0f9fe2316f1eafc67f906d640f4457e0a7b06f3d40192d50fe02fd9","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-2031af47efe133b0e7877f433286ff07385afc41","semester":"1262","observed_at":"2025-07-02 20:16:45.749584+00:00","record_version_id":"cfedaf722235ab544fa0daac8647cbbd06962b3eacbb69269bcbd3851f9c594c","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-238eba6f32fbc30407f616dd0628ff02a2a824dd","semester":"1262","observed_at":"2025-08-17 05:15:07.788352+00:00","record_version_id":"1a87875f2995405f254e6870ae59aec10644f24d918638f9cd34c30bd9177e92","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-25f0ff56bc4d80f8a8afa1a0bcce8dae6fddb5e5","semester":"1262","observed_at":"2025-05-25 17:20:25.942090+00:00","record_version_id":"daf950c891919197394c2da06d475b7ea3c09ef4cdd89f39e194bf53f4d0c748","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-2923f91826ce253b7aeefa9f75b4a39fe4c80ff0","semester":"1262","observed_at":"2025-08-10 05:10:25.938416+00:00","record_version_id":"25609592e1940905d5384ce671438a22cb18dbf44d1f38e8fe4a51f8909a74d6","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-2a05214a4023e0157fa6f7d188c85308f714176c","semester":"1262","observed_at":"2025-09-07 04:56:38.255315+00:00","record_version_id":"d7941de39e05671c8d5d8f39a9c2d91321ae192e0f9a7cda2a3f07d7de218e35","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-2b1b8e39131de92b94620b25c5bbb25690efed4c","semester":"1262","observed_at":"2025-06-01 07:54:53.913454+00:00","record_version_id":"0decded7556d92957f29700d90e0a8c1ac9835a60f2ba9b16dafbcd9ed00895c","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-33a1225644e5a5855d60f66e65413946e72fedf4","semester":"1262","observed_at":"2025-06-22 01:52:05.152650+00:00","record_version_id":"9079ce0318e91063e7492aea0c32a7cf3b82b01cddc477ff257fc2c84d1a28da","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-3b89c83dbf5208e13756184de1f2b2d0c09af35f","semester":"1262","observed_at":"2025-06-30 06:40:10.235522+00:00","record_version_id":"f85a9dc5a7bd9dd77187a19eb6d2f92a81d34484ffe371f834aea7bae102c6c9","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-3c3eebf7f35c39364b445a2fa5a112ce28dbb4a1","semester":"1262","observed_at":"2025-06-01 17:03:59.062985+00:00","record_version_id":"977526bdce32f4a6edd079eda4e53275c3b63a99a0395a96a31e26bacffeaf0c","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-3fa4dd71391f1c9cf4ab2216680bbc428689f92d","semester":"1262","observed_at":"2025-05-25 01:15:58.180530+00:00","record_version_id":"fab1974c4ff7fa0605da617639b7c9acf65a6f7973714a864283df942ef5f1c7","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-4040aa216da722a34483f68fc1e129ea571ae08d","semester":"1262","observed_at":"2025-06-01 07:27:39.695506+00:00","record_version_id":"b0a390caa09e91d94c3a82d6cfe13f4af97287646a6fa1838755491874d01ecc","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-454d53cd690294459f8ad0793cc3ed562060e56c","semester":"1262","observed_at":"2025-05-25 01:34:00.536004+00:00","record_version_id":"a87723742688dce8d8c89d89a1c7463ff5a2933e002a479d3868c825bab2f832","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-486f091e051fdb4ccdb80ee7b4fb0a5814510324","semester":"1264","observed_at":"2025-11-16 05:32:31.273726+00:00","record_version_id":"142545f35831facb307d0c27dd7bf29655264865894f21a92819ddc9c237fb80","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-50393cfc5fd5598d4f4731ef1919f2ff53af07d9","semester":"1262","observed_at":"2025-06-30 06:05:57.438846+00:00","record_version_id":"4b9708c05abbc309c76429dedbd1324049d2803977ad27506b59c25282e027b0","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-50f6947786b208c800db8bbd0cec84a8f0f187d2","semester":"1262","observed_at":"2025-06-02 03:49:42.915428+00:00","record_version_id":"448ab652b88701ac0f16289a4629c435efd86a040b6181afb1a3bf42622b7f93","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-51d86ed4082dced3803c295419b0ec8440942016","semester":"1264","observed_at":"2025-11-12 04:50:41.141307+00:00","record_version_id":"2597e8bbc810ed4eec2c99f0f36ea943b111d1cd3f541ed1819a80b99ba18582","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-53101bd1c10db0d00d094e4c9154d4c244ff23d9","semester":"1262","observed_at":"2025-10-05 04:58:05.366968+00:00","record_version_id":"d4ab040642025d96f7bf9fb1a9c6a9424120c4fb5ab777fc3fddd15b75f43587","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-58751151c564e11c5cb8aedd3a2d3527c22f73eb","semester":"1262","observed_at":"2025-06-01 06:59:01.536576+00:00","record_version_id":"df8da7c3481d70ab71084f937a02b0ebbafddbf28c865409fd1efa9d91f8dff8","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-5c4c8d3701a333ba4ddadef7d0b5dde8440fcdf0","semester":"1262","observed_at":"2025-06-01 01:57:51.256704+00:00","record_version_id":"718b2998ac16b2bd56543ce3f7ccc170b16f3764f665da041cd2a311d86b7ce8","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-5d20d9f81651d3c83fcaa2fd10870ce6e5d5a685","semester":"1262","observed_at":"2025-05-21 16:48:48.484741+00:00","record_version_id":"b0a25b4204b7e5acda92091ceb6cecf656788691c16f62ea4a917939e221d7eb","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-5feaebf2ab37051c86ad360cc0fa0d7e0e2ea295","semester":"1262","observed_at":"2025-05-24 15:58:23.378859+00:00","record_version_id":"5eafaf2c0841d79330aa60fb6bfa651fa5cb7b3370462534974ceda93f9a598f","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-60949965544fce098cc006354e201149005fb77b","semester":"1264","observed_at":"2025-10-26 05:07:14.077864+00:00","record_version_id":"174e5253db9f68e6444a9a332027b481e2ed0811960cd847c24511704471685d","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-639225ac3addf8522f1d30cb4fe26054ea7f8c49","semester":"1262","observed_at":"2025-06-01 08:14:42.497608+00:00","record_version_id":"e44834e3345c3916f16f8223f7874af60d5f83632a1907c3595a9a4eb3cd4fe9","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-64093b17b3a9c67a41aa33eb37adb53ec38df714","semester":"1262","observed_at":"2025-05-22 02:11:02.531191+00:00","record_version_id":"a1551340cdb59c8af7995db695a6c275fec2c490419a216517a6f68dc7c5f313","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-6885b56099f55e08aa0205546369fb0381d50e13","semester":"1262","observed_at":"2025-07-13 04:59:22.367394+00:00","record_version_id":"672975a1aac6da76aba0b9c7db30b979f060fc069dae8de861e288b5d5e6b967","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-69d4b2b16e8268f75b6390b3a0e2ce8bf73999da","semester":"1262","observed_at":"2025-06-30 03:21:29.925498+00:00","record_version_id":"48ae5cdd67b1f2021333695a435c136404f95baec649bf33a03c9d9e77540176","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-6b29c3e0673b2f9a736d2363db5409e03d5b3ed4","semester":"1264","observed_at":"2025-12-03 12:33:41.418072+00:00","record_version_id":"6a5379f67864bfdce5a02728dc20e7bbf3ca3b991aa8534e8a49da32bfcffc7b","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-73259984748de484976ef2ad56ad7ab3d4cb4518","semester":"1262","observed_at":"2025-06-26 08:27:56.461216+00:00","record_version_id":"14362e31631215c43adf5f4d70840c637ec0bfb780d6c26e12a3f26acab4b8e3","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-741602fbc6252c232a0b9e6bc1a9ae3101625f5a","semester":"1262","observed_at":"2025-06-30 22:49:32.522034+00:00","record_version_id":"d9988c6b92b9cf594dc2cc1df34dbd54169004adc57e4b2e2622336b9e63ea1d","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-7774f45558276ec29bf626e58fffb4a27bdbb2a9","semester":"1264","observed_at":"2025-11-01 11:49:36.359151+00:00","record_version_id":"749d28cb81271090428031df6779cb26601ee9858135aa333f8e7bde84b88e08","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-7ab7c5e783fc8ebef8b8ee8cea019ee37a72ce74","semester":"1262","observed_at":"2025-09-28 04:58:07.340658+00:00","record_version_id":"9e3b810f76c288be77f96b29c0cc7a89e487c3fdb263a867a08fa454cbaf8f3e","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-7b2f22d83ea05055ab90dcb77dc802382cccc6f7","semester":"1262","observed_at":"2025-05-21 17:56:46.096741+00:00","record_version_id":"56c7a615f2c947f72f899d7a87c53f52cb33cc628ad041f1b934beb1249aea72","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-7ca1175502be18eb51f7b016818a884a43fd4ebb","semester":"1262","observed_at":"2025-07-29 06:28:23.644795+00:00","record_version_id":"03450c4b670818978b3572d114910be5f6c6fda1a922f79a8bf9b49f4dcf9642","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-7d8cee5e42602ad9ba5dc0322085af2fa0dffaac","semester":"1262","observed_at":"2025-05-22 01:15:19.291664+00:00","record_version_id":"f930803a629bf0b8838a5e2ebe7e23d2d129a0c67303c9fe2f2e12cf6eea1749","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-81a0d6a7f668c98c59bd05fa988aa079c5ad1f68","semester":"1262","observed_at":"2025-05-31 07:49:50.419452+00:00","record_version_id":"51ba7817660cba11e06f9c752a2b1243a571fe001a24c1b2e7e19d20bfe8e162","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-82f31c08c746a214872494cde6ecaeb9330441b4","semester":"1262","observed_at":"2025-06-17 21:26:08.547156+00:00","record_version_id":"486b9ce570e57599f97efb533dc03f102ecdfa743d3ed0d1ffa6a05c0a6b76d2","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-84c248343c5a99ab42c5616c594812a5e3e31cbb","semester":"1262","observed_at":"2025-07-04 06:00:07.487827+00:00","record_version_id":"33fb2db6249c1e887220ca9ba3f7dbc0173543db852baf415f8f9af6b10529c5","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-86334e7275e315853287e8580c35456c68df800b","semester":"1262","observed_at":"2025-05-22 06:53:03.336354+00:00","record_version_id":"b5eb6c0fc049a507c8282e581a7a1cf5438f3f4849605b7fc6d9ae5633cb058e","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-8686dc1664f93a6c05f50321410961b39b12f91b","semester":"1262","observed_at":"2025-05-28 10:17:41.595894+00:00","record_version_id":"b0deddbf9d7d698cbcea98057779cb779f6e947a4514a738eaad90edd07eb37d","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-86d941366886c9a14a2581c04e20d0bdd25e1b02","semester":"1262","observed_at":"2025-08-31 04:54:14.656039+00:00","record_version_id":"fed14b9499d1a44241a3ef85417a14b5ac40b879b7f4e9bace3d22122e1d1f95","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-8ba1d2e6cfbb1525b4f9f769ec164fb6ad0f237a","semester":"1262","observed_at":"2025-06-02 05:22:45.010398+00:00","record_version_id":"6ff32f321fd1b0eb5f286d027eb6dd2db876fa13b81df675dfd985f7c54116fb","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-90e5aa456689a3b222016c05c319bbcd0bddd453","semester":"1262","observed_at":"2025-05-25 02:00:10.037905+00:00","record_version_id":"27c4caa42b8c8b7489d86b95a4712a824818eb9576836c31705e229ed300018c","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-92d960aa7e4cd6e4c9ac8b2e232092904038e9e4","semester":"1262","observed_at":"2025-06-08 01:50:46.451351+00:00","record_version_id":"66a9c49a2bf216902e1a211eefd88444d2e793a5c9c342e25e0439d36861640a","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-94002ae588a8f71eca6d64105f2e603e8587293b","semester":"1262","observed_at":"2025-05-21 09:01:16.021508+00:00","record_version_id":"e5284fce4ab35574aad6eca45db801eb56c704a5986c8c7d6a0e1149838a0ca7","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-9dd575e013c5c6e000ab3ad2d1288cc1dd9c96dc","semester":"1264","observed_at":"2025-12-21 04:47:46.589081+00:00","record_version_id":"f543de5116bc1407d29e0d6deddc8d521a829f081fb6bc170427303cfedfabb4","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-a1ea26ed78cbd6e94bc3221e50a6ed9b6bf43871","semester":"1262","observed_at":"2025-05-25 09:16:55.180581+00:00","record_version_id":"fad04e08631113f1c866cbc44627a18cfeb2ecff21a542d2fdead7456cf4b97d","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-a76a3505853d5ea9c13bb98472b87361d469e2ee","semester":"1262","observed_at":"2025-05-28 18:03:41.793846+00:00","record_version_id":"1b55a564088830d6eeb623b64c17b46fa678d85cedd1aea345e920e7740f0ae2","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-b285d591f6acf3aa1910e02edc297664db86eb8c","semester":"1262","observed_at":"2025-06-10 22:48:22.460295+00:00","record_version_id":"89466b9bdaa06dd7d13add81b3460a0d5df9d12dfbdf4885b1ee60099369e250","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-b79af756e4f00ba98231feb859ed8e98239eb811","semester":"1262","observed_at":"2025-05-22 02:47:56.931581+00:00","record_version_id":"16f62f2de18bef0629a36d91f8b22722ca5372c2867b10b81f40b4ec693faa0d","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-b89e05b94730c6471439082d9279c0a834a4aeec","semester":"1262","observed_at":"2025-08-26 20:25:42.325239+00:00","record_version_id":"b7726a648498dc280017e17ed101ad8bbd937316ede47c741755beeaf68b930f","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-b9279a12d1f2688df9e556183c94d41a89e431dc","semester":"1262","observed_at":"2025-07-06 01:49:47.203835+00:00","record_version_id":"9a00993fc18a186d4a605d01a98a65bbdda31460e01f126ca57addc322662143","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-bbdc905e96cc681a5e9a8b02c795b682206e36d1","semester":"1262","observed_at":"2025-06-25 08:02:45.445730+00:00","record_version_id":"73e0b904508bcf8bc847044f851bb7fb128c5b4a43b0670e7aa260425ebcdceb","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-bde225b5243a13d81827aa173e39c78a652b54a0","semester":"1262","observed_at":"2025-05-23 07:22:33.219345+00:00","record_version_id":"d9205e7e506e7b70c972b53a151b2fd1620a9dfa8003a5c127d69f00a6fb6db0","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-c1fac4cbfde737f4f4ac02cdf15e6f5a9b5b676d","semester":"1262","observed_at":"2025-05-22 01:15:19.291664+00:00","record_version_id":"f930803a629bf0b8838a5e2ebe7e23d2d129a0c67303c9fe2f2e12cf6eea1749","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-c6b62be45f8a13cba109ef2a7741b9cd9a6b8272","semester":"1262","observed_at":"2025-08-24 08:48:09.035112+00:00","record_version_id":"a0f03bffeedf61a7de7a0fa20e3dc002e8abf1e777e7caaaa1854089d9f14e89","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-cc83f62cb6db61f39320916d819ad48ce55cd96d","semester":"1262","observed_at":"2025-05-22 00:45:35.735230+00:00","record_version_id":"cf39f0053b11d1c16723df66379a4d21019a5508e7020e0b9019b4292e50f3d0","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-d33818a01b6b4c5e2902e704da6e5b713742d4dc","semester":"1262","observed_at":"2025-10-13 10:46:24.251475+00:00","record_version_id":"7e32aac935e5c90c5e1fceaa0be579331016c2e61c5b69010cf03b972507bf3d","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-d3c17db9832d3064916046caf891dd23f10b1bb9","semester":"1262","observed_at":"2025-08-26 11:30:42.288639+00:00","record_version_id":"1613b4900f4c311f30ee45cfc9e482b4707e0c4ede84b5f9f0d893cfaaf9fb17","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-d4ee226dc44268e9b6767fb9f5f20343322f494b","semester":"1262","observed_at":"2025-06-15 01:52:23.911697+00:00","record_version_id":"c8febac947bf3355ad759be584ad61abfca3ee23d12738d51e4c3da5786d26eb","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-d8f9fc7f136e2033556d9d65bbdbdf33425dbdc9","semester":"1262","observed_at":"2025-05-28 16:48:12.400438+00:00","record_version_id":"aa231c134aa2f37588cac066c95faa6f47ed3676a2acdd70212ca6321d8eb87e","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-dbbc9739c616c3846b2e796e00a36fa41225f7d8","semester":"1262","observed_at":"2025-06-01 17:47:19.325144+00:00","record_version_id":"b490347820c2ee879fbd5af7f972a9186c718eb8f0f71af52119792013925ae0","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-dbe5f2d24b48c3177297a3d69c553cc9d1194bac","semester":"1262","observed_at":"2025-09-14 05:00:27.366070+00:00","record_version_id":"04815ea1b2addeb61345e8cac9cef4a5b84f4cb0e47ace7647d4a8e6d2cdb1d5","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-dd357dc2758e9e282c30988a527ce37de92593b9","semester":"1264","observed_at":"2025-10-19 01:39:41.951404+00:00","record_version_id":"8c4fc86c90dabb8e4f66be6bf00aa6685ea7753ea87050b1eff21d2b4a1bb2d5","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-de74de559e409a3fe668685e28043b888d2e6841","semester":"1262","observed_at":"2025-06-27 07:38:50.882897+00:00","record_version_id":"c528043e23c5495ca08cb5e88b74d3ec0fec2204eef7ed452ed8306e897c24bc","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-deca7188cf536ade3203cd88b52a45e92a059617","semester":"1262","observed_at":"2025-06-27 00:37:46.087071+00:00","record_version_id":"1f191edbeeffcf44d9ce96cfa053ba8cba5e80e49b8831eb7022089e2d9186e1","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-df60fa9ac3931c5612b0fa641b7a6f5fbec86fab","semester":"1262","observed_at":"2025-05-24 06:36:37.554678+00:00","record_version_id":"148d0fdc166bf45499034ebf78c962cdba75c877e829644e0e5bdcf9e3b0d516","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-e339da2d849aaf8bb4dceca07a84728af23cf755","semester":"1262","observed_at":"2025-07-23 08:49:22.748925+00:00","record_version_id":"836517680d56d291fe4765e64d3da993579ce0dab185bdaed1f6e4f0d91fabbf","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-e934b1784835f5d36ae9b7ef0992b11e72c39142","semester":"1262","observed_at":"2025-06-01 06:21:25.219533+00:00","record_version_id":"db7a10d23cd34323eae58b16d94ff26f9543b7d6ec2e0c4d5a842bec6ffe78fe","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-ef471690c082448deebd2687eab84b0b78813c36","semester":"1262","observed_at":"2025-06-29 01:47:56.317645+00:00","record_version_id":"8059cfacdb0d967ca5fabf8bbaba6473d4975cf286edd0770b8b175e05ef9f8c","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-efc4e8e2cd7c3f68e059a308990c00c77c7611eb","semester":"1264","observed_at":"2025-10-16 05:48:13.935141+00:00","record_version_id":"3e982ab695b8789e9e9da0d4e97b8fef510032772ec14dc6361cfd07f9623f7c","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"},{"run_id":"legacy-f18b7749725097d41f69c60779ff38cf073b93b3","semester":"1262","observed_at":"2025-05-21 19:52:03.259353+00:00","record_version_id":"b126954fe715d351a23512f85f1ff140070f0c12256b06b97824fc28f29ae004","course_id":"ISYE/MATH/OTM/STAT 632","course_uid":"course_c602622d732dbbc9aceeeddf","catalog_version_id":"0214dd1e7f69deb184faf93513b0fea4ad790965fc1a0640dbac37050f3fd8fa","course_number":632,"subjects":["ISYE","MATH","OTM","STAT"],"title":"INTRODUCTION TO STOCHASTIC PROCESSES","description":"Topics include discrete-time Markov chains, Poisson point processes, continuous-time Markov chains, and renewal processes. Applications to queueing, branching, and other models in science, engineering and business.","requirements_text":"(STAT/​MATH  431,309,STAT 311orMATH 531) and (MATH 320,340,341,375,421or531) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program"}]