The following introductory-level courses without prerequisites enable students to fulfill the skills requirement in quantitative reasoning (Qr) through study in a wide range of quantitative disciplines. In addition, there are a multitude of Qr courses with prerequisites (such as single-variable calculus, introductory computer programming, or introductory work in a natural or social science) that can be fulfilled through introductory-level course work or advanced placement. Students may view the complete list of Qr courses or search for Qr courses in specific departments using the Yale Course Search.
Each student will wish to select courses that match his or her interests and level of preparation. Information about expected preparation is available through links following each course’s brief description.
Please note, not all courses are offered every semester:
First-year STEM Seminars 2024-25
*Limited enrollment. Pre-registration is required for all First-Year Seminars. Information regarding application procedures may be found on the program website.
- APHY 080/ENAS 080/EPS 080/EVST 080/PHYS 080 Energy, Environment and Public Policy - Instructor Permission Required
Other Courses Without Prerequisites
- ANTH 454/ARCG 454 – Statistics for Archaeological Analysis - Instructor Permission Required
- APHY 100 /ENAS 100/EPS 105/EVST 100/ PHYS 100 - Energy, Environment, and Public Policy
- APHY 449 - Solid State Physics
- ASTR 110 - Planets and Stars
- ASTR 120 - Galaxies and the Universe
- ASTR 170 - Introduction to Cosmology
- ASTR 210 - Stars and Their Evolution
- ASTR 220 - Galaxies and Cosmology - Strong background in highschool calculus and physics. May not be taken after ASTR 210.
- ASTR 255 - Research Methods in Astrophysics - Instructor Permission Required
- CPSC 100 - Introduction to Computing and Programming
- CPSC 110 – Python Programming for Humanities and Social Sciences
- CPSC 112 - Introduction to Programming
- CPSC 123/S&DS 123/PLSC 351 – Ydata: An Introduction to Data Science
- CPSC 175 - C Programming Language and Linux
- CPSC 202 – Mathematical Tools for Computer Science
- CPSC 338 – Digital Systems
- ECON 108 - Qualitative Foundations of Microeconomics - Instructor Permission Required
- ECON 110 - An Introduction to Microeconomic Analysis - Instructor Permission Required - May not be taken after ECON 108 or 115.
- ECON 115 - Introductory Economics: Microeconomics - May not be taken after ECON 108 or 110.
- EP&E 295 - Game Theory and Political Science
- EP&E 328/S&DS 172/PLSC 347 - Ydata: Data Science for Political Campaigns
- EENG 201 - Introduction to Computer Engineering
- EENG 455 - Network Algorithms and Stochastic Optimization
- ENAS 120/ENVE 120/CENG 120 - Introduction to Environmental Engineering
- EPS 140 - Atmosphere, Ocean and Climate Change
- EPS 312 - Structural Geology
- EVST 100/APHY 100/ENAS 100/EPS 105/PHYS 100 - Energy, Environment, and Public Policy - Instructor Permission Required
- EVST 206 - Sustainable Energy: Physics and History - Mathematical proficiency with algebra is assumed. Students from all academic interests and experiences are welcome in the course.
- GLBL 121 - Applied Quantitative Analysis
- GLBL 159/ECON 159 – Game Theory
- GLBL 195 - The Logic of Randomized Experiments in Political Science
- MATH 103 - Mathematics of Voting - Permission of instructor required
- MATH 107 – Mathematics in the Real World - Instructor Permission Required
- MATH 160/AMTH 160/S&DS 160 – The Structure of Networks
- MATH 222 - Linear Algebra with Applications - Students who plan to continue with upper level math courses should instead consider MATH 225 or 226. After MATH 115 or equivalent. May not be taken after MATH 225 or 226.
- MATH 330 - Advanced Probability - Some knowledge of real analysis assumed.
- PHIL 115 - First Order Logic
- PHIL 210 - Formal Philosophical Methods
- PHIL 281 – Infinity
- PHYS 100/APHY 100/ENAS 100/EPS 105/EVST 100 - Energy, Environment, and Public Policy - Instructor Permission Required
- PHYS 106/EVST 206/HIST 127/HSHM 201/HUMS 106, Sustainable Energy: Physics and History
- PHYS 171 - University Physics for Life Sciences - Concurrently with MATH 115. See comparison of introductory sequences and laboratories in the YCPS.
- PHYS 180 University Physics Concurrently with MATH 115 and 120 or equivalents. See comparison of introductory sequences and laboratories in the YCPS. May not be taken for credit after PHYS 170, 171.
- PHYS 181 - University Physics - Concurrently with MATH 115 and 120 or equivalents. See comparison of introductory sequences and laboratories in the YCPS. May not be taken for credit after PHYS 170, 171.
- PHYS 260 - Intenstive Introductory Physics - Concurrently with MATH 120, ENAS 151, PHYS 151, or PHYS 301, or equivalent. Students considering an alternative MATH course should check with the DUS in Physics.
- PHYS 261 - Intensive Introductory Physics - Concurrently with MATH 120, ENAS 151, PHYS 151, or PHYS 301, or equivalent. Students considering an alternative MATH course should check with the DUS in Physics.
- PHYS 295 - Research Methods in Astrophysics
- PSYC 200 - Statistics - This course may not be taken after S&DS 100.
- PSYC 327 - Language and Computation I – Prior programming experience or permission of instructor.
- S&DS 123/CPSC 123/PLSC 351 – YData: An Introduction to Data Science
- S&DS 160/AMTH 160/MATH 160 – The Structure of Networks - Instructor Permission Required
- S&DS 220 - Introductory Statistics, Intensive - MATH 115 is helpful but not required. While no particular prior experience in computing is required, strong motivation to practice and learn computing are desirable.
- S&DS 400/MATH 330 - Advanced Probability