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As indicated in the DS-Eng Program Guide, the Data Science program requires elective and capstone courses. Current courses in these categories are listed here:

Data Science Advanced Technical Electives

Data Science Application Electives

Data Science Capstone Courses

Data Science Flexible Technical Electives

**Note:** There is overlap between the lists of approved Advanced Technical Electives, Application Electives, and Capstone courses. Students may not double-count a course in multiple categories. Additionally, students should consult with online course guides and the departments offering the following courses for questions regarding course availability and eligibility for enrollment.

BIOINF 527: Introduction to Bioinformatics & Computational Biology

IOE 310: Introduction to Optimization Methods

EARTH 408: Introduction to GIS in the Earth Sciences (or GEOG 506; credit for both will not be granted)

ECON 409: Game Theory

EECS 388: Introduction to Computer Security

EECS 442: Computer Vision

EECS 445: Introduction to Machine Learning

EECS 467: Autonomous Robotics

EECS 477: Introduction to Algorithms

EECS 588: Parallel Computing

EECS 482: Operating Systems

EECS 484: Database Management Systems

EECS 485: Web Database and Information Systems

EECS 492: Introduction to Artificial Intelligence

EECS 505: Computational Data Science and Machine Learning

IOE 460: Decision Analysis

IOE 465: Design of Experiments

IOE 466: Statistical Quality Control

IOE 474: Simulation

IOE 491, Section 77 only (Winter 2016 only): Constraint Programming

MATH 419: Linear Spaces and Matrix Theory

MATH 451: Advanced Calculus 1

MATH 471: Introduction to Numerical Methods

SI 422: Evaluation of Systems and Services

SI 649: Information Visualization

SI 650: Information Retrieval

STATS 403: Introduction to Quantitative Research Methods

STATS 406: Computational Methods in Statistics and Data Science

STATS 415: Data Mining

STATS 425: Introduction to Probability

STATS 426: Introduction to Theoretical Statistics

STATS 430: Applied Probability

STATS 449: Topics in Biostatistics

STATS 451: Introduction to Bayesian Data Analysis

STATS 470: Introduction to Design of Experiments

STATS 480: Survey Sampling Techniques

STATS 485: Capstone Seminar

STATS 509: Statistical Models and Methods for Financial Data

STATS 531: Analysis of Time Series

STATS 548: Computations in Probabilistic Modeling in Bioinformatics

AOSS 420: Environmental Ocean Dynamics

AOSS 477: Space Weather Modeling

ASTRO 361: Astronomical Techniques

BIOINF 527: Introduction to Bioinformatics & Computational Biology

BIOINF 551: Proteome Informatics

CLIMATE 410: Earth System Modeling

CLIMATE 462: Instrumentation for Atmospheric and Space Sciences

CLIMATE 475: Earth System Interactions

CLIMATE 476: Ocean Dynamics and Climate

CMPLXSYS 510: Introduction to Adaptive Systems

EARTH 408: Introduction to GIS in the Earth Sciences (or GEOG 506; credit for both will not be granted)

EARTH 414: Weather Systems

ECON 409: Game Theory

ECON 452: Introduction to Econometrics

EEB 315: Ecology and Evolution of Complex Disease

EEB 391: Introduction to Evolution: Quantitative Approach

EEB 408: Modeling for Ecology and Evolutionary Biology

EEB 416: Introduction to Bioinformatics

EEB 430: Modeling Infectious Diseases

EEB 466: Mathematical Ecology

EEB 481: Population Dynamics and Ecology

EECS 442: Computer Vision

EECS 467: Autonomous Robotics

IOE 413: Optimization Modeling in Health Care

IOE 437: Automatic Human Factors

MATH 422: Risk Management and Insurance

MATH 423: Mathematics of Finance

MATH 463: Math Modeling in Biology

MCDB 408: Genomic Biology

POLSCI 490: Game Theory and Formal Models

POLSCI 499: Quantitative Methods of Political Analysis

PSYCH 448: Mathematical Psychology

SI 365: Cyberscience: Computational Science and the Rise of the Fourth Paradigm

SI 429: eCommunities: Analysis and Design of Online Interaction Environments

SI 542: Introduction to Health Informatics

SI 554: Consumer Health Informatics

SI 639: Web Archiving

SI 650: Information Retrieval

STATS 449: Topics in Biostatistics

STATS 509: Statistical Models and Methods for Financial Data

STATS 545: Data Analysis in Molecular Biology

STATS 547: Probabilistic Modeling in Bioinformatics

STATS 548: Computations in Probabilistic Modeling in Bioinformatics

If a course project has substantial data science components, students may seek approval to use the course as the Capstone. A project that is focused on software development is likely insufficient unless there is also substantial data analysis or work on other data issues. Students should seek a preliminary read on the suitability of the course by *submitting a project proposal* to dsengadvisor@umich.edu at the beginning of the course. Students must submit *a final project report and a cover letter* at the end of the course to dsengadvisor@umich.edu, pointing out the main data science features of the project. This approval process may be used for established courses as well as independent study courses. Please note that no project is guaranteed approval.

EECS 486: Information Retrieval & Web Search

STATS 485: Capstone Seminar

STATS 489: Independent Study, Statistics Subject Area

EECS 499: Independent Study, Computer Science Subject Area

Some EECS special topics courses (398, 498, 598) are approved on a term-by-term basis for use as the DS Capstone. See this page for current offerings and approvals.

Multidisciplinary Design Program courses with projects directly related to Data Science may be approved for use as a DS Capstone by the DS-Eng Chief Program Advisor. See the MDP homepage for more information about the program. Some MDP projects are pre-approved for use as the DS Capstone on a term-by-term basis. For those not pre-approved, students should follow the approval process instructions above.

Courses approved as advanced technical electives are automatically approved for use as flexible DS technical electives (however, as noted above, cannot be double-counted between categories). See the Approved Data Science Advanced Technical Electives. Additional approved DS Flexible Technical Electives courses are listed below.

**Directed Study Rule: **Only 4 hours of directed/independent study or research courses (total across all departments, i.e. EECS, IOE, Civil, etc.) can count toward flexible tech electives. EECS 499 is *only open to seniors*; sophomores and juniors should consider EECS 399 (can count toward flexible tech electives only if enrolled in FA14 or later).

**Aerospace Engineering**

AEROSP 215: Introduction to Solid Mechanics and Aerospace Structures

AEROSP 225: Introduction to Gas Dynamics

AEROSP 245: Performance of Aircraft and Spacecraft

Any AEROSP course at the 300-level or higher [AEROSP 390 & 490: see Directed Study Rule above.]

**Astronomy**

ASTRO 404: Galaxies and the Universe

**Biology
**

BIOLOGY 305: Genetics

Any BIOLOGY course at the 400-level or higher

**Biomedical Engineering
**

BIOMEDE 221: Biophysical Chemistry and Thermodynamics

BIOMEDE 231: Introduction to Biomechanics

Any BIOMEDE course at the 300-level or higher [BIOMEDE 490: see Directed Study Rule above.]

**Chemical Engineering**

CHE 230: Material and Energy Balances

Any CHE course at the 300-level or higher [except CHE 405. CHE 490: see Directed Study Rule above.]

**Chemistry
**

CHEM 210: Structure and Reactivity I

CHEM 211: Investigations in Chemistry

CHEM 215: Structure and Reactivity II

CHEM 216: Synthesis and Characterization of Organic Compounds

CHEM 230: Physical Chemical Principles and Applications

CHEM 241: Introduction to Chemical Analysis

CHEM 242: Introduction to Chemical Analysis Laboratory

CHEM 260: Chemical Principles

Any CHEM course at the 300-level or higher [CHEM 398, 399, 498, & 499: see Directed Study Rule above.]

**Civil and Environmental Engineering
**

CEE 211: Statics and Dynamics

CEE 212: Solid and Structural Mechanics

CEE 230: Energy and Environment

CEE 265: Sustainable Engineering Principles

Any CEE course at the 300-level or higher (except 303) [CEE 490: see Directed Study Rule above.]

**Climate and Space Sciences & Engineering **

Any CLIMATE or SPACE course at the 300-level or higher [CLIMATE/SPACE 499: see Directed Study Rule above.]

**Complex Systems
**

CMPLXSYS 270: Agent Based Modeling

**Economics**

ECON 409: Game Theory

ECON 452: Introduction to Econometrics

**Electrical Engineering and Computer Science**

EECS 201: Computer Science Pragmatics

EECS 215: Introduction to Electronic Circuits

EECS 216: Introduction to Signals and Systems

EECS 230: Electromagnetics I

EECS 250: Electronic Sensing Systems

EECS 270: Introduction to Logic Design (taken WN17 or before)

EECS 285: A Programming Language or Computer System

EECS 370: Introduction to Computer Organization

EECS 376: Foundations of Computer Science

Any EECS course at the 300-level or higher (except 398*, 402, 406, 410, and 498*) [EECS 399 (FA’14 or later)/499: see Directed Study Rule above.] *Each special topics course is reviewed for possible FTE/ULCS credit for the term/topic offered; see the Advising Office for details.

**Engineering
**

ENGR 350: International Lab. Experience for Engineers

ENGR 355: Multidisciplinary Design I [See Directed Study Rule above.]

ENGR 403: Scientific Visualization

ENGR 450: Multidisciplinary Design [See Directed Study Rule above.]

ENGR 455: Multidisciplinary Design II [See Directed Study Rule above.]

ENGR 480: Global Synthesis Project (Tauber Institute)

**Entrepreneurship**

ENTR 390 (section 013 only): TechLab MCity [See Directed Study Rule above.]

**Industrial and Operations Engineering**

IOE 202: Operations Modeling

Any IOE course at the 300-level or higher (except 373 & 422) [IOE 490: see Directed Study Rule above.]

**Linguistics
**

LING 442: Computational Linguistics II

**Materials Science and Engineering
**

MATSCIE 220: Introduction to Materials and Manufacturing

MATSCIE 242: Physics of Materials

MATSCIE 250: Principles of Engineering Materials

Any MATSCIE course at the 300-level or higher [MATSCIE 490: see Directed Study Rule above.]

**Mathematics
**

MATH 216: Introduction to Differential Equations

Any MATH course at the 300-level or higher (except 310, 327, 333, 385, 389, 399, 417, 419, 422, 429, 431, 485, 486, 489, 497)

**Mechanical Engineering
**

MECHENG 211: Introduction to Solid Mechanics

MECHENG 235: Thermodynamics

MECHENG 240: Introduction to Dynamics and Vibrations

MECHENG 250: Design and Manufacturing I

Any MECHENG course at the 300-level or higher [MECHENG 490 & 491: see Directed Study Rule above.]

**Molecular, Cellular, and Developmental Biology (MCBD)
**

MCDB 306: Introductory Genetics Laboratory

MCDB 310: Introductory Biochemistry

**Naval Architecture and Marine Engineering
**

NAVARCH 260: Marine Systems Manufacturing

NAVARCH 270: Marine Design

Any NAVARCH course at the 300-level or higher [NAVARCH 490: see Directed Study Rule above.]

**Nuclear Engineering and Radiological Sciences**

NERS 250: Fundamentals of Nuclear Engineering and Radiological Sciences

Any NERS course at the 300-level or higher [NERS 499: see Directed Study Rule above.]

**Operations and Management Science**

OMS 605: Manufacturing and Supply Operations

**Performing Arts Technology**

PAT 452: Interactive Music Design II

PAT 462: Digital Sound Synthesis

**Physics **

Any PHYSICS course at the 300-level or higher (except 333, 334, 420, and 481). [PHYS 496, 497, 498, 499: see Directed Study Rule above.]

**School of Information**

SI 301: Models of Social Information Processing

SI 364: Building Interactive Applications

SI 422: Evaluation of Systems and Services

**Statistics **

Any statistics class at 500-level or 600-level except for seminar and independent study courses.