2009-2010 Bulletin – PDF - SEAS Bulletin - Columbia University

MINOR IN MATERIALS
SCIENCE AND ENGINEERING
1. MSAE E3103:
Elements of materials science 3.0 points
2–3. Two from the following courses:
MSAE E3111:
Thermodynamics, kinetic theory, and
statistical mechanics
3.0 points
MSAE E3141: Processing of metals and
semiconductors
3.0 points
MSAE E3142: Processing of
ceramics and polymers 3.0 points
MSAE E4090: Nanotechnology 3.0 points
MSAE E4101: Structural analysis
of materials
3.0 points
MSAE E4206: Electronic and
magnetic properties of solids 3.0 points
MSAE E4215: Mechanical behavior
of materials
3.0 points
MSAE E4250:
Ceramics and composites 3.0 points
4–6. Three from the following courses
(other materials-related courses may be
acceptable):
APPH E4100:
Quantum physics of matter 3.0 points
CHEE E4050:
Industrial and environmental
electrochemistry
3.0 points
CHEE E4252: Introduction to surface
and colloid chemistry
3.0 points
CHEE E4530:
Corrosion of metals
3.0 points
CHEE E4620: Introduction to
polymer science
3.0 points
CHEN E4630:
Polymer laboratory
3.0 points
CHEM C3443-C3444:
Organic chemistry
3.5 points
ELEN E4411:
Fundamentals of photonics 3.0 points
ELEN E4301: Introduction to
semiconductor devices
3.0 points
ELEN E4944: Principles of device
microfabrication
3.0 points
ENME E4113:
Advanced mechanics of solids 3.0 points
ENME E4114: Mechanics of
fracture and fatigue
3.0 points
MECE E4608:
Manufacturing processes 3.0 points
MECE E4701:
Introductory biomechanics 3.0 points
MINOR IN MECHANICAL
ENGINEERING
1–4. Any four courses from the following
(equivalent substitution courses require
the approval of the mechanical engineering
program adviser):
MECE E3100: Introduction to
mechanics of fluids
3.0 points
or one of the following:
ENME E3161:
Fluid mechanics
4.0 points
CHEN E3110:
Transport phenomena, I
4.0 points
EAEE E4900: Applied transport and
chemical rate phenomena 3.0 points
ENME E3105: Mechanics
4.0 points
MECE E3301:
Thermodynamics
3.0 points
or one from the following:
CHEN E3010: Principles of chemical
engineering thermodynamics 4.0 points
MSAE E3111:
Thermodynamics, kinetic theory,
and statistical mechanics 3.0 points)
ENME E3113:
Mechanics of solids
3.0 points
MECE E3408: Computer graphics
and design
3.0 points
MECE E3311: Heat transfer
3.0 points
MECE E4608:
Manufacturing processes
3.0 points
MECE E3409:
Computer-aided design
3.0 points
EEME E3601:
Classical control systems
3.0 points
5–6. Electives: Two additional mechanical
engineering courses from either the
above list or the following (not all courses
in this list are given every year):
MECE E3401:
Mechanics of machines 3.0 points
MECE E4058:
Mechatronics and embedded
microcomputer control
3.0 points
MECE E4100:
Mechanics of fluids
3.0 points
MECE E4211: Energy: sources
and conversion
3.0 points
MECE E4212:
Microelectromechanical systems 3.0 points
MECE E4302:
Advanced thermodynamics 3.0 points
MECE E4404: Lubrication theory
and design
3.0 points
MECE E4501:
Geometrical modeling
3.0 points
MECE E4502: Computational
geometry for CAD/CAM 3.0 points
EEME E4601:
Digital control systems
3.0 points
MECE E4602:
Introduction to robotics
3.0 points
MECE E4604: Product design for
manufacturability
3.0 points
MECE E4609:
Computer-aided manufacturing 3.0 points
MECE E4610: Advanced
manufacturing processes 3.0 points
MINOR IN MIDDLE EAST
AND ASIAN LANGUAGES
AND CULTURES
1–5. Five courses, to be chosen with the approval
of the MEALAC Director of Undergraduate
Studies; no elementary or intermediate
language courses may be taken.
MINOR IN MUSIC
1. MUSI V2318-V2319: Diatonic harmony
and counterpoint
6.0 points
2. MUSI V1312-V1313:
Introductory ear training
1.0 points
3. MUSI V2314: Ear training, I 1.0 points
4. One course from the following:
MUSI V3128: History of Western
music I: Middle Ages to baroque 3.0 points
MUSI V3129: History of Western
music II: classical to 20th century 3.0 points
5–6. Any two electives at the 3000 or 4000
level. See also the SEAS-approved nontechnical
electives in music (page 15).
Notes:
• Students must successfully place out
of MUSI V1002: Fundamentals of
Western music (3.0 points).
• Requirement 4 and 5 must be completed
to fulfill the nontechnical elective
requirement for graduation.
• Students are strongly encouraged to
take HUMA W1123: Masterpieces of
Western music (3.0 points) from the
list of nontechnical electives.
MINOR IN
OPERATIONS RESEARCH
1. IEOR E3106: Stochastic models 3.0 points
2. SIEO W3600: Introduction to
probability and statistics
4.0 points
3. IEOR E3608: Introduction to
mathematical programming 4.0 points
4. IEOR E4404: Simulation 3.0 points
5–6. Electives: Two IEOR courses of interest
and approved by a faculty adviser. IEOR
E3402: Production-inventory planning
and control (3.0 points) is strongly
recommended.
Note: In addition to the required courses,
students majoring in industrial engineering
or engineering management systems
must take three operations research
courses that are not used to satisfy the
requirements of their major.
193
SEAS 2009–2010