## Advanced Courses with Substantial Mathematical Content

Several concentrations in the mathematics department require two additional advanced courses with substantial mathematical content.

The official description of such courses is:

Courses that employ mathematical language, reasoning or methodology qualify. Any mathematics course numbered 200 or above qualifies, as do certain non-introductory courses in other departments. The most common courses in other departments that qualify are courses of a quantitative nature from the social and physical sciences, engineering, computer science or statistics, but there are other possibilities. Selections must be approved by the student’s departmental advisor.

In order to aid students and advisors, we have developed the following list of qualifying courses. This list is not exhaustive. If you are a student and believe a course satisfies the above description but is not on this list, please consult with your advisor. Your advisor in consultation with the undergraduate committee can approve a course not on this list.

Courses qualifying as advanced courses with substantial mathematical content for the purpose of satisfying Department of Mathematics concentrations requirements:

**Astronomy**

AST 231: Gravitation and General Relativity

AST 241: Astrophysics I

AST 242: Astrophysics II

**Biology**

BIO: 263 Ecology

**Biomedical Engineering**

BME 218: Introduction to Neuroengineering

BME 221: Biomedical Computation and Statistics

BME 230: BME Signals, Systems and Imaging

BME 251: Biomedical Ultrasound

BME 260: Quantitative Physiology

BME 283: Biosolid Mechanics

**Brain and Cognitive Science**

BSC 247: Computational Neuroscience

**Chemical Engineering**

CHE 225: Thermodynamics

CHE 231: Chemical Reactor Design

CHE 243: Fluid Dynamics

CHE 244: Heat and Mass Transfer

**Chemistry**

CHM 251: Quantum Chemistry I

CHM 252: Physical Chemistry II

**Computer Science**

CSC 217: Uncertain Inference

CSC 242: Artificial Intelligence

CSC 244: Logical Foundations of Artificial Intelligence

CSC 246: Mathematical Foundations of Artificial Intelligence

CSC 262: A Computational Introduction to Statistics

CSC 264: Computational Biology

CSC 280: Computer Models

CSC 281: Cryptography

CSC 282: Design and Analysis of Efficient Algorithms

CSC 284: Advanced Algorithms

CSC 286: Computational Complexity

CSC 287: Randomized Parallel

**Economics**

ECO 207H: Intermediate Microeconomics

ECO 209H: Intermediate Macroeconomics

ECO 231(W): Econometrics

ECO 233(W): Applied Econometrics

ECO 288: Introduction to Game Theory

**Education (Warner School)**

EDU 436: Theory and Practice in Teaching and Learning Mathematics

EDU 444: Implementing Innovation in Mathematics Education

EDU 482: Integrating Mathematics and Literacy (TC-MATH)

EDU 483 Integrating Mathematics and Technology

Note: These courses may also count toward the 4+1 Program in Teaching.

**Electrical and Computer Engineering**

ECE 210: Circuits and Microcontrollers for Engineers

ECE 226: Superconducting Electronics

ECE 230: Electromagnetic Waves

ECE 231: Robot Control

ECE 234: Microelectromechanical Systems

ECE 240: Musical Sound: SCI and Synthesis

ECE 241: Signals

ECE 242: Communications Systems

ECE 244: Digital Communications

ECE 245: Wireless Communications

ECE 246: Digital Signal Processing

**Material Science**

MSC 230: Thermodynamics and Statistical Mechanics

**Mathematics**

Any 2xx course

**Mechanical Engineering**

ME 204: Mechanical Design

ME 205: Advanced Mechanical Design

ME 211: Computational Methods

ME 213: Mechanical Systems

ME 223: Heat Transfer

ME 225: Fluid Dynamics

ME 226: Solid Dynamics

ME 250: Optimum Design

ME 251: Heat Power

ME 280: Material Science

ME 281: Mechanical Properties of Materials

**Optics**

OPT 211: Computational Methods

OPT 223: Quantum Theory

OPT 241: Geometrical Optics

OPT 261: Interference and Diffraction

OPT 262: Electromagnetic Theory

**Philosophy**

PHL 214: Logical Methods

PHL 215: Mathematical Logic

PHL 216: Logic

PHL 217: Uncertain Inference

PHL 218: Philosophy of Math

PHL 219: Deviant Logic

**Physics**

Any 2xx except for labs

**Political Science**

PSC 281: Formal Models

PSC 288: Game Theory

PSC 407: Mathematical Modeling

**Psychology**

CSP 211: Statistical Methods

**Statistics**

Any 2xx course*

*AP STT credit not accepted.