2011-2012 Bulletin â PDF - SEAS Bulletin - Columbia University

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10 the Undergraduate Programs The undergraduate programs at Columbia Engineering not only are academically exciting and technically innovative but also lead into a wide range of career paths for the educated citizen of the twentyfirst century. Whether you want to become a professional engineer, work in industry or government, or plan to pursue a career in the physical and social sciences, medicine, law, business, or education, Columbia Engineering will provide you with an unparalleled education. The School firmly believes that students gain the most when engineering is brought up front, early in the four-year curriculum. Therefore, first-year students use the networked, high-performance workstations and multimedia software of the Botwinick Multimedia Learning Laboratory as part of their technical core requirements. Here students apply fundamental principles of engineering design to modeling advanced engineering and applied science problems. Later in the four-year program, students often use the Laboratory’s symbolic, numeric, and graphical computing power in ever deepening integration with classroom, laboratory, and research work of their chosen engineering program. While pursuing their own interests, undergraduate students are encouraged to participate in a broad range of ongoing faculty research projects encompassed by the Undergraduate Research Involvement Program (URIP). An annual URIP publication sent to students describes faculty projects in which students may participate, lists necessary qualifications, and details whether the student’s participation will be voluntary, for academic credit, or for monetary compensation. In addition to in-depth exploration of engineering and applied science, Columbia Engineering undergraduates explore the humanities and social sciences with Columbia College students through intellectually challenging Core Curriculum courses taught by the Faculty of Arts and Sciences. These courses in art, literature, music, major cultures, and economics, among others, provide students with a broad, intellectually disciplined, cultural perspective on the times they live in and the work they do. Policy on Degree Requirements The Committee on Instruction and faculty of The Fu Foundation School of Engineering and Applied Science review degree requirements and curricula matters each year, and the bulletin reflects these faculty recommendations and curricular changes in its yearly reprinting. School policy requires students to fulfill all general degree requirements as stated in the bulletin of the first year of their matriculation into the School. Students declare their major during the first semester of their sophomore year. Requirements for the major or minor are in accordance with the bulletin during the year in which the student declares the major or minor. The First-Year/Sophomore Program Students entering Columbia Engineering are encouraged to consider the wide range of possibilities open to them, both academically and professionally. To this end, the first and second years of the four-year undergraduate program comprise approximately 66 semester points of credit that expose students to a cross-fertilization of ideas from different disciplines within the University. The sequence of study proceeds from an engagement with engineering and scientific fundamentals, along with humanities and social sciences, toward an increasingly focused training in the third and fourth years designed to give students mastery of certain principles and arts central to engineering and applied science. Liberal Arts Core for Columbia Engineering Students: 27-Point Nontechnical Requirement This requirement provides a broad liberal arts component that enhances the Engineering professional curriculum to help students meet the challenges of the twenty-first century. Our students are destined to be leaders in their professions and will require sophisticated communication, planning, and management skills. The Committee on Instruction established the School’s nontechnical requirement so that students would learn perspectives and principles of the humanities and social sciences as part of a well-rounded and multiperspective education. Through discussion, debate, and writing, engineering 2011–2012
students improve their ability to engage in ethical, analytic, discursive, and imaginative thinking that will prove indispensable later in life. • Engineering students must take 16 to 18 points of credit of required courses in list A and 9 to 11 elective points chosen from the approved courses in list B. The total combined number of nontechnical points (from lists A and B, below) must add up to at least 27. Neither list can be modified by advising deans or faculty advisers. • Advanced Placement (AP) credit in appropriate subject areas can be applied toward the 9-point elective nontechnical requirement. If electing Global Core, students must take two courses from the List of Approved Courses (www.college. columbia.edu/bulletin/core/mc.php) for a letter grade. A. Required Nontechnical Courses (16–18 points of credit) These courses must be taken at Columbia. 1. ENGL C1010: University writing (3 points) 2. One of the following two-semester sequences: HUMA C1001-C1002: Masterpieces of Western literature and philosophy (All students registering for this course should be prepared to discuss books 1–12 of the Iliad on the first day of class) or COCI C1101-C1102: Introduction to contemporary civilization in the West or Global Core (any 2 courses from approved list) (6–8 points) 3. One of the following two courses: HUMA W1121: Masterpieces of Western art, or HUMA W1123: Masterpieces of Western music (3 points) 4. ECON W1105: Principles of economics. (This course can be satisfied through Advanced Placement; see the Advanced Placement chart on page 14.) Note: Engineering students may not take BC1003: Introduction to economic reasoning as a substitute for ECON W1105. (4 points) B. Elective Nontechnical Courses (9–11 points of credit) The following course listing by department specifies the Columbia College, Barnard, or Columbia Engineering courses that either fulfill or do not fulfill the nontechnical requirement. (Professional, workshop, lab, project, scientific, studio, music instruction, and master’s-level professional courses do not satisfy the 27-point nontechnical requirement.) AFRICAN-AMERICAN STUDIES: All courses AMERICAN STUDIES: All courses ANCIENT STUDIES: All courses ANTHROPOLOGY: All courses in sociocultural anthropology All courses in archaeology except field work No courses in biological/physical anthropology [V1010, V1011, W3204, V3940, G4147-G4148, W4200, G4700] ARCHITECTURE: No courses ART HISTORY AND ARCHEOLOGY: All courses ASIAN AMERICAN STUDIES: All courses ASTRONOMY: No courses BIOLOGICAL SCIENCES: No courses BUSINESS: No courses CHEMISTRY: No courses CLASSICS: All courses COLLOQUIA: All courses COMPARATIVE ETHNIC STUDIES: All courses COMPARATIVE LITERATURE AND SOCIETY: All courses COMPUTER SCIENCE: No courses CREATIVE WRITING: All courses (This is an exception to the workshop rule.) DANCE: All courses except performance classes DRAMA AND THEATRE ARTS: All courses except workshops, rehearsal, or performance classes, THTR BC2120 Technical production, THTR BC3135 Set design, and THTR BC3134 Lighting design EARTH AND ENVIRONMENTAL SCIENCES: No courses EAST ASIAN LANGUAGES AND CULTURE: All courses ECOLOGY, EVOLUTION AND ENVIRONMENTAL BIOLOGY: No courses except EEEB W4700 ECONOMICS: All courses except W3025 Financial economics W3211 Intermediate microeconomics W3213 Intermediate macroeconomics W3412 Introduction to econometrics W4020 Economics of uncertainty and information W4211 Advanced microeconomics W4213 Advanced macroeconomics W4251 Industrial organization W4280 Corporate finance W4412 Advanced econometrics W4415 Game theory W4911 Seminar in microeconomics W4913 Seminar in macroeconomics W4918 Seminar in econometrics BC1003 Introduction to economic reasoning (equivalent to ECON W1105) BC1007 Mathematical methods for economics BC2411 Statistics for economics BC3014 Entrepreneurship BC3018 Econometrics BC3033 Intermediate macroeconomic theory BC3035 Intermediate microeconomic theory BC3038 International money and finance EDUCATION: All courses ENGINEERING: Only BMEN E4010 Ethics for biomedical engineers EEHS E3900 History of telecommunications SCNC W3010 Science, technology and society ENGLISH AND COMPARATIVE LITERATURE: All courses FILM STUDIES: All courses except lab courses, and W3850 Senior seminar in screenwriting W4005 The film medium: script analysis FRENCH AND ROMANCE PHILOLOGY: All courses GERMANIC LANGUAGES: All courses GREEK: All courses HISTORY: All courses HISTORY AND PHILOSOPHY OF SCIENCE: All courses HUMAN RIGHTS: All courses ITALIAN: All courses JAZZ STUDIES: All courses LATIN: All courses LATINO STUDIES: All courses LINGUISTICS: All courses except CLLN W4202 MATHEMATICS: No courses MEDIEVAL AND RENAISSANCE STUDIES: All courses MIDDLE EASTERN AND ASIAN LANGUAGE AND CULTURES: All courses MUSIC: All courses except performance courses, instrument instruction courses, and workshops PHILOSOPHY: All courses except F1401 Introduction to logic V3411 Symbolic logic W4137 Non-classical logics G4431 Introduction to set theory G4424 Modal logic CSPH W4801 Mathematical logic, I CSPH G4802 Incompleteness results in logic Courses in logic 11 engineering 2011–2012
Page 1 and 2: Bulletin 2011 -2012
Page 3 and 4: Bulletin 2011 -2012
Page 5 and 6: a message from the dean As students
Page 7 and 8: About the School and University
Page 9 and 10: 3 After receiving a master’s degr
Page 11 and 12: Resources and Facilities 5 A Colleg
Page 13 and 14: • CourseWorks is the University c
Page 15: Undergraduate Studies
Page 19 and 20: transistors, first order RC and RL
Page 21 and 22: possible overseas destinations and
Page 23 and 24: more than 68 transfer points toward
Page 25 and 26: Programs Registered with the New Yo
Page 27 and 28: Applicants may submit results of th
Page 29 and 30: Undergraduate Tuition, Fees, and Pa
Page 31 and 32: financial aid for undergraduate stu
Page 33 and 34: family’s financial situation. Con
Page 35 and 36: Graduate Studies
Page 37 and 38: statements covering these special r
Page 39 and 40: 33 Completion of Requirements The r
Page 41 and 42: graduate admissions 35 Office of Gr
Page 43 and 44: Graduate tuition, fees, and payment
Page 45 and 46: financial aid for graduate study 39
Page 47 and 48: esearch assistantships, readerships
Page 49 and 50: Faculty and Administration
Page 51 and 52: 45 Xi Chen Associate Professor of E
Page 53 and 54: S. G. Steven Kou Professor of Indus
Page 55 and 56: Tiffany Shaw Assistant Professor of
Page 57 and 58: Enders Robinson Maurice Ewing and J
Page 59 and 60: Departments and Academic Programs
Page 61 and 62: 55 IEOR INAF INTA MATH MEBM Industr
Page 63 and 64: techniques based on the theory of g
Page 65 and 66: Applied Physics: Third and Fourth Y
Page 67 and 68:
Applied mathematics: Third and Four
Page 69 and 70:
are determined in consultation with
Page 71 and 72:
APPH E4110x Modern optics 3 pts. Le
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squares method, pseudo-inverses, si
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iomedical engineering 351 Engineeri
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of courses in mathematics, physics,
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iomedical engineering. Up to 12 poi
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iomedical engineering Program: Thir
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BMEN E4420y Biomedical signal proce
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BMEN E6400x Analysis and quantifica
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chemical nature of things and provi
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and broad-ranging nature of the deg
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chemical engineering: Third and Fou
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principles, environmental sciences,
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systems are treated next (dominant
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civil engineering and engineering m
Page 99 and 100:
Program Objectives In developing an
Page 101 and 102:
civil engineering: Third and Fourth
Page 103 and 104:
engineering mechanics: Third and Fo
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and leadership on the part of engin
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ENME E4363y Multiscale computationa
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computer engineering program: first
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computer engineering program: first
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Computer Science 450 Computer Scien
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Track 2: Systems Track The systems
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computer science: Third and Fourth
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CSEE W3827x and y Fundamentals of c
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EECS E4340x Computer hardware desig
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COMS E61xx course and/or COMS W4444
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COMS E6902x and y Thesis 1-9 pts. A
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Engineer, and the doctorate degrees
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Scholarships, Fellowships, and Inte
Page 131 and 132:
earth and environmental engineering
Page 133 and 134:
sludge or cake that must be dispose
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theory and practical aspects of dat
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EAEE E4241x Solids handling and tra
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permission. Critical discussion of
Page 141 and 142:
engineering. Details on those progr
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electrical engineering: Third and F
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electrical engineering: Third and F
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outside of engineering and science
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knowledge of elementary algebra. EL
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ELEN E4488x Optical systems 3 pts.
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ELEN E6321y Advanced digital electr
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and different topics rotate through
Page 157 and 158:
ELEN E6781y Topics in modeling and
Page 159 and 160:
Current Research Activities In indu
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take one additional 3-point course.
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optimization applied probability fi
Page 165 and 166:
industrial engineering: Third and F
Page 167 and 168:
operations research: Third and Four
Page 169 and 170:
OPERATIONS RESEARCH: engineering ma
Page 171 and 172:
OPERATIONS RESEARCH: FINANCIAL engi
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applications. Review of elements of
Page 175 and 176:
Current Research Activities Current
Page 177 and 178:
materials science and engineering:
Page 179 and 180:
Chemistry, Earth and Environmental
Page 181 and 182:
cations, grain boundaries, electron
Page 183 and 184:
Biomechanics and Mechanics of Mater
Page 185 and 186:
processing for sample preparation a
Page 187 and 188:
mechanical engineering: third and f
Page 189 and 190:
mechanical engineering: third and f
Page 191 and 192:
prescribed design problems. Problem
Page 193 and 194:
iophysics of molecular motors, mech
Page 195 and 196:
Undergraduate Minors
Page 197 and 198:
take the core BME requirements, as
Page 199 and 200:
MINOR IN Entrepreneurship and Innov
Page 201 and 202:
Interdisciplinary Courses and Cours
Page 203 and 204:
Courses in Other Divisions of the U
Page 205 and 206:
EESC V1201y Environmental risks and
Page 207 and 208:
process of critical listening, both
Page 209 and 210:
to Riemann geometry. Motion of part
Page 211 and 212:
Campus and Student Life
Page 213 and 214:
Preprofessional Advising The Office
Page 215 and 216:
three Greek councils: The Interfrat
Page 217 and 218:
student services 211 university hou
Page 219 and 220:
Upperclass and Graduate Students Ma
Page 221 and 222:
Scholarships, Fellowships, Awards,
Page 223 and 224:
Class of 1900 (1940) Gift of the Cl
Page 225 and 226:
James M. and Elizabeth S. Li Endowe
Page 227 and 228:
Max Yablick Memorial Scholarship (1
Page 229 and 230:
Applied Physics Faculty Award Award
Page 231:
time to that member of the graduati
Page 234 and 235:
228 Academic Procedures and Standar
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230 calendar day, not a 24-hour tim
Page 238 and 239:
232 Academic standing Academic Hono
Page 240 and 241:
234 Policy on Conduct and Disciplin
Page 242 and 243:
236 • Understand what instructors
Page 244 and 245:
238 Student Grievances, Academic Co
Page 246 and 247:
240 C. Discrimination and sexual ha
Page 248 and 249:
242 columbia university resource li
Page 250 and 251:
244 Medical Services John Jay Hall,
Page 252 and 253:
246 The Morningside Heights Area of
Page 254 and 255:
248 Center for Career Education (CC
Page 256 and 257:
250 See also payments fellowships,
Page 258 and 259:
252 parents contributions to educat
Page 260 and 261:
254 notes engineering 2011-2012
Page 262 and 263:
256 notes engineering 2011-2012
Page 264:
500 West 120th Street New York, New
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