At least four additional courses with significant quantitative content in mathematics, natural sciences, computer science, engineering, economics or other fields approved by the department. At least three of the four must be outside the mathematics department; and at least one must be upper-division. Courses to be chosen from the following lists:

List A - upper division

AME 404 Computational Solutions to Engineering Problems Units: 3
ASTE 331a Spacecraft Systems Engineering Units: 3
ASTE 331b Spacecraft Systems Engineering Units: 3
ASTR 400 The Solar System Units: 4, 2 years
ASTR 422 Galaxies and Large-Scale Structures in the Universe Units: 4, 2 years
ASTR 424 Cosmology Units: 4
BISC 305g Statistics for Biological Sciences Units: 4
BISC 478 Computational Genome Analysis Units: 4
BUAD 310g Applied Business Statistics Units: 4
BUAD 312g Statistics and Data Science for Business Units: 4
CHE 330 Chemical Engineering Thermodynamics Units: 4
CHEM 430 Physical Chemistry: Thermodynamics and Kinetics Units: 4
CHEM 431 Physical Chemistry: Quantum Mechanics Units: 4
CHEM 432 Physical Chemistry for the Life Sciences Units: 4
CSCI 360 Introduction to Artificial Intelligence Units: 4
CSCI 467 Introduction to Machine Learning Units: 4
DSO 424 Business Forecasting Units: 4
DSO 428 Essentials and Digital Frontiers of Big Data Units: 4
ECON 303 Intermediate Microeconomic Theory Units: 4
ECON 305 Intermediate Macroeconomic Theory Units: 4
ECON 317 Introduction to Statistics for Economists Units: 4
ECON 318 Introduction to Econometrics Units: 4
ECON 419 Advanced Econometrics Units: 4
ECON 457 Financial Markets Units: 4
FBE 441 Investments Units: 4 *
FBE 459 Financial Derivatives Units: 4 *
GEOL 425L Data Analysis in the Earth and Environmental Sciences Units: 4
GEOL 440L Geophysics and Geoengineering Units: 4
GEOL 450L Geosystems Units: 4
ISE 330 Introduction to Operations Research: Deterministic Models Units: 3
ISE 331 Introduction to Operations Research: Stochastic Models Units: 3
PHYS 304 Mechanics Units: 4
PHYS 316 Thermodynamics and Statistical Mechanics Units: 4
PSYC 421L Data Analysis for Psychological Research Units: 4
QBIO 401 Introduction to Computational Analysis of Biological Data Units: 4

Note:

*FBE 441 and FBE 459 have prerequisites that must be satisfied in order to enroll, or a waiver must be granted by the FBE departmental administration.

List B - lower division

AME 201 Statics Units: 3
AME 204 Strength of Materials Units: 3
ASTE 101L Introduction to Astronautics Units: 4
ASTE 280 Foundations of Astronautical Engineering Units: 3
BME 210 Biomedical Computer Simulation Methods Units: 4
CE 215 Statics and Dynamics Units: 4
CE 225 Mechanics of Deformable Bodies Units: 4
CHE 120 Introduction to Chemical Engineering Units: 4
CHE 205 Numerical Methods in Chemical Engineering Units: 3
CSCI 170 Discrete Methods in Computer Science Units: 4
CSCI 270 Introduction to Algorithms and Theory of Computing Units: 4
EE 202L Linear Circuits Units: 4
ISE 220 Probability Concepts in Engineering Units: 3
ISE 225 Engineering Statistics I Units: 3
PHYS 151Lg Fundamentals of Physics I: Mechanics and Thermodynamics Units: 4
PHYS 152L Fundamentals of Physics II: Electricity and Magnetism Units: 4
PHYS 153L Fundamentals of Physics III: Optics and Modern Physics Units: 4

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