## Advanced Courses

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 4-credit mathematics course numbered 2XX, 3XX, or 4XX qualifies, as do certain non-introductory courses in other departments. (Math 5XX courses qualify for the class of 2024, but not for subsequent classes.) 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

ASTR 231: Gravitation and General Relativity

ASTR 241: Astrophysics I

ASTR 242: Astrophysics II

ASTR 243: Astrophysical Fluid Dynamics

ASTR 265: Physics of Planetary Interiors

### Biology

BIOL: 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

BSCS 247: Computational Neuroscience

### Chemical Engineering

CHE 225: Thermodynamics

CHE 231: Chemical Reactor Design

CHE 243: Fluid Dynamics

CHE 244: Heat and Mass Transfer

### Chemistry

CHEM 251: Quantum Chemistry I

CHEM 252: Physical Chemistry II

### Computer Science

CSC 240: Data Mining

CSC 242: Artificial Intelligence

CSC 244: Machine Reasoning

CSC 246: Machine Learning

CSC 279: Computational Geometry

CSC 280: Computer Models

CSC 281: Cryptography

CSC 282: Design and Analysis of Efficient Algorithms

CSC 283: Topics in Cryptography

CSC 284: Advanced Algorithms

CSC 286: Computational Complexity

CSC 287: Sampling Algorithms

CSC 289: Algorithmic Game Theory

### Data Science

DSCC 240: Data Mining

DSCC 242: Artificial Intelligence

DSCC 262: Computational Introduction to Statistics

DSCC 265: Introduction to Statistical Machine Learning

DSCC 275: Time Series Analysis & Forecasting in Data Science

DSCC 420: Intro to Random Processes

DSCC 442: Network Science Analytics

### Economics

ECON 207H: Intermediate Microeconomics

ECON 209H: Intermediate Macroeconomics

ECON 230: Economic Statistics

ECON 231(W): Econometrics

ECON 233(W): Applied Econometrics

ECON 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 233: Musical Acoustics

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

ECE 271: Intro to Random Processes

ECE 272: Audio Digital Signal Processing

ECE 442: Network Science Analytics

### Environmental Science

EESC 235: Physical Oceanography

EESC 236: Physics of Climate

### 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 223: Quantum Theory

OPT 241: Geometrical Optics

OPT 261: Interference and Diffraction

OPT 262: Electromagnetic Theory

### Philosophy

PHIL 212: Probability, Inference, and Decision

PHIL 215: Mathematical Logic

PHIL 216: Logic

PHIL 217: Uncertain Inference

PHIL 218: Philosophy of Math

PHIL 219: Deviant Logic

### Physics

Any 2xx+ except for labs

### Political Science

PSCI 205: Data Analysis II

PSCI 281: Formal Models

PSCI 288: Game Theory

PSCI 407: Mathematical Modeling

### Psychology

PSYC 211: Statistical Methods

### Simon School

FIN 205: Financial Management

FIN 206: Investments

FIN 213: Corporate Finance

MKT 212: Marketing Research and Analytics

STR 241: Pricing Strategy

BUS 221: Operations and Strategy

### Statistics

Any STAT 2xx+ course except STAT 211, 212, 213, 214*

*STAT 211, 212, 213 accepted for students with math major declared 7/31/19 or earlier. STAT 214 accepted for students with math major declared 12/9/20 or earlier. AP STAT credit not accepted.