Mathematical models and statistical analysis are becoming increasingly important in many social and behavioral sciences. Solving complex problems requires sophisticated approaches to gathering and analyzing large amounts of data. Creating mathematical models useful in prediction and analysis can require a broad range of mathematical techniques including graph theoretical analysis, Markov chains and other stochastic processes, or differential equations. This Option provides a foundation in commonly-used statistical and computational techniques followed by flexibility in pursuing different sets of advanced courses. It is also ideal as a second major for students in social sciences who want to obtain more background in quantitative methods and mathematical techniques.
Option Core (31 credits)
- PHYS 121, 122, 123 (5,5,5)
- STAT 340: (4) Introduction to Probability and Mathematical Statistics I
- STAT 341: (4) Introduction to Probability and Statistical Inference I
- STAT 342: (4) Introduction to Probability and Statistical Inference II
- STAT 423: (4) Applied Regression and Analysis of Variance
Students may petition to replace some or all of Phys 121, 122, 123 by an equal number of credits of appropriate courses in the intended application area.
Option Electives -- Group I (6 credits)
At least 6 credits from approved courses (at the 300 level or higher) in the Departments of Applied Mathematics, Computer Science and Engineering, Mathematics, and Statistics. The following pre-approved courses are particularly recommended:
- CSE 373 (3) Data Structures
- AMATH 301: (4) Beginning Scientific Computing
- MATH 300: (3) Mathematical Reasoning
- MATH 309 or AMATH 353: (3) Linear Analysis or Partial Differential Equations & Fourier Analysis
- MATH 324: (3) Multivariable Calculus I
- MATH 327: (3) Introduction to Real Analysis I
- MATH 407,408,409: (3,3,3) Linear, Nonlinear, & Discrete Optimization
- MATH 461,462: (3,3) Combinatorial Theory
- MATH 464,465: (3,3) Numerical Analysis I, II
- MATH/STAT 491,492: (3,3) Introduction to Stochastic Processes
- STAT 321,322: (5,5) Case-Based Social Statistics
- STAT 421: (4) Applied Statistics and Experiment Design
- STAT 428: (4) Multivariate Analysis for the Social Sciences
Option Electives -- Group II (10 credits)
At least 10 credits of approved courses in a social or behavioral science area. Unless exempted by petition, at least three courses must be in a single department and all must be at the 300 level or higher. Courses used to satisfy the ACMS Program Core requirement may not be applied as electives.
Warning: Some courses in other departments are available to non-majors only on a space-available basis. This should be kept in mind when planning a program. It is also the responsibility of the student to determine any prerequisite requirements pertaining to their chosen elective courses.
Double majors / Double degrees Students who complete a double major or double degree in an approved social or behavioral science will naturally have satisfied the Group II Option Electives.