Previous and Sample Basic Examinations
Note that the Basic Exam requirement was significantly restructured in 2025. Please consult the current Doctoral Student Handbook for updated exam syllabi.
Algebra
- algebra_basic_exam_sample [pdf]
- algebra_2014-2 [pdf]
- algebra_2015-1 [pdf]
- algebra_2015-2 [pdf]
- algebra_2016-1 [pdf]
- algebra_2017-1 [pdf]
- algebra_2017-2 [pdf]
- algebra_2018-2 [pdf]
- algebra_2019-1 [pdf]
- algebra_2019-2 [pdf]
- algebra_2020-1 [pdf]
- algebra_2020-2 [pdf]
- algebra_2021-2 [pdf]
- algebra_2022-1 [pdf]
- algebra_2022-2 [pdf]
- algebra_2023-2 [pdf]
- algebra_2024-1 [pdf]
- algebra_2025-2 [pdf]
- algebra_2026-1 [pdf]
Analysis
- MI_basic_exam_sample_I [pdf]
- MI_basic_exam_sample_II [pdf]
- measure_and_integration_2010-2 [pdf]
- measure_and_integration_2011-1 [pdf]
- measure_and_integration_2011-2 [pdf]
- measure_and_integration_2012-1 [pdf]
- measure_and_integration_2014-2 [pdf]
- measure_and_integration_2015-1 [pdf]
- measure_and_integration_2015-2 [pdf]
- measure_and_integration_2016-1 [pdf]
- measure_and_integration_2016-2 [pdf]
- measure_and_integration_2017-1 [pdf]
- measure_and_integration_2017-2 [pdf]
- measure_and_integration_2018-1 [pdf]
- measure_and_integration_2018-2 [pdf]
- measure_and_integration_2019-1 [pdf]
- measure_and_integration_2019-2 [pdf]
- measure_and_integration_2020-1 [pdf]
- measure_and_integration_2020-2 [pdf]
- measure_and_integration_2021-1 [pdf]
- measure_and_integration_2022-1 [pdf]
- measure_and_integration_2022-2 [pdf]
- measure_and_integration_2023-2 [pdf]
- measure_and_integration_2024-1 [pdf]
- measure_and_integration_2024-2 [pdf]
- measure_and_integration_2025-1 [pdf]
- measure_and_integration_2025-2 [pdf]
Discrete Mathematics
Logic
- set_theory_basic_exam_sample [pdf]
- set_theory_2015-1 [pdf]
- set_theory_2016-2 [pdf]
- set_theory_2017-1 [pdf]
- set_theory_2019-2 [pdf]
- set_theory_2020-1 [pdf]
- set_theory_2021-1 [pdf]
- set_theory_2022-1 [pdf]
- set_theory_2022-2 [pdf]
- set_theory_2023-2 [pdf]
Probability
- probability_basic_exam_sample [pdf]
- probability_2014-2 [pdf]
- probability_2015-1 [pdf]
- probability_2015-2 [pdf]
- probability_2016-1 [pdf]
- probability_2016-2 [pdf]
- probability_2017-1 [pdf]
- probability_2017-2 [pdf]
- probability_2018-1 [pdf]
- probability_2018-2 [pdf]
- probability_2019-2 [pdf]
- probability_2020-1 [pdf]
- probability_2020-2 [pdf]
- probability_2021-1 [pdf]
- probability_2021-2 [pdf]
- probability_2022-1 [pdf]
- probability_2022-2 [pdf]
- probability_2023-2 [pdf]
- probability_2024-1 [pdf]
- probability_2024-2 [pdf]
Topology
- general_topology_basic_exam_sample_I [pdf]
- general_topology_basic_exam_sample_II [pdf]
- general_topology_2013-2 [pdf]
- general_topology_2015-1 [pdf]
- general_topology_2015-2 [pdf]
- general_topology_2016-1 [pdf]
- general_topology_2016-2 [pdf]
- general_topology_2017-1 [pdf]
- general_topology_2017-2 [pdf]
- general_topology_2018-1 [pdf]
- general_topology_2018-2 [pdf]
- general_topology_2019-1 [pdf]
- general_topology_2019-2 [pdf]
- general_topology_2020-1 [pdf]
- general_topology_2020-2 [pdf]
- general_topology_2021-1 [pdf]
- general_topology_2021-2 [pdf]
- general_topology_2022-1 [pdf]
- general_topology_2022-2 [pdf]
- general_topology_2023-1 [pdf]
- general_topology_2023-2 [pdf]
- general_topology_2024-1 [pdf]
- general_topology_2024-2 [pdf]
- general_topology_2025-1 [pdf]
- topology_2025-2 [pdf]
- topology_2026-1 [pdf]