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

More documents

Recommendations

Info

60 Applied mathematics program: first and second Years Semester i Semester iI Semester iII Semester iV mathematics 1 MATH V1101 (3) MATH V1102 (3) MATH V1201 (3) MATH V1202(3) and ODE (3) 2 physics (three tracks, choose one) C1401 (3) C1601 (3.5) C2801 (4.5) C1402 (3) C1602 (3.5) C2802 (4.5) C1403 (3) C2601 (3.5) Lab W3081 (2) C1494 (3) Lab C2699 (3) chemistry/ biology (choose one course) CHEM C1403 (3), or higher or BIOL W2001 (4) or BIOL C2005 (4), or higher english composition (three tracks, choose one) C1010 (3) Z1003 (0) Z0006 (0) C1010 (3) Z1003 (0) C1010 (3) required nontechnical electives HUMA C1001, COCI C1101, or Global Core (3–4) HUMA W1121 or W1123 (3) HUMA C1002, COCI C1102, or Global Core (3–4) ECON W1105 (4) and W1155 recitation (0) required tech electives (3) Student’s choice, see list of first- and second-year technical electives (professional-level courses; see pages 12–13). computer science MATLAB course COMS W1005, Introduction to Computer Science and Programming in MATLAB, is required for all Applied Mathematics majors and should be taken during freshman year. (It may be substituted with a C++ or Python course with the permission of the Applied Math Program adviser.) physical education C1001 (1) C1002 (1) gateway lab E1102 (4) either semester 1 With the permission of the faculty adviser, students with advanced standing may start the calculus sequence at a higher level. 2 Applied mathematics majors should satisfy their ODE requirement with the Mathematics Department (ordinarily MATH E1210). Students who take APMA E2101 prior to declaring their major in applied physics may use this course to satisfy their ODE requirement. seminar during both the junior and senior years. During the junior year, the student attends the seminar lectures for 0 points; during the senior year, he or she attends the seminar lectures as well as tutorial problem sessions for 3 or 4 points. While it is common for students in the program to go on to graduate school, many graduating seniors will find employment directly in industry, government, education, or other fields. Of the 27 points of elective content in the third and fourth years, at least 15 points of technical courses approved by the adviser must be taken. The remaining points of electives are intended primarily as an opportunity to complete the four-year, 27-point nontechnical requirement, but any type of course work can satisfy them. Transfers into the applied mathematics program from other majors require a GPA of 3.0 or above, and the approval of the applied mathematics program chair. undergraduate Double Major in applied physics and applied mathematics Students satisfy all requirements for both majors, except for the seminar requirements. They are required to take both senior seminars, APMA E4903 and APPH E4903 (taking one in the junior year and one in the senior year, due to timing conflicts), but not the junior seminars, APMA E4901 and APPH E4901. A single course may be used to fulfill a requirement in both majors. Students must maintain a GPA at or above 3.75, and must graduate with at least 143 points, 15 above the regular 128-point requirement. These extra 15 points should be technical electives appropriate for one or both majors. To apply, a student first obtains the approval of both the general undergraduate AP adviser and the general undergraduate AM adviser, and then the approval of the Dean. Specialty Areas in APAM Both applied physics and applied math- engineering 2011–2012
Applied mathematics: Third and Fourth Years 61 Semester V Semester VI Semester VII Semester VIII Required Courses APMA E3101 (3) 1 Linear algebra (Applied math, I) APMA E4901 (0) Seminar Course from Group A or Group B 2 APMA E4204 (3) 1 Complex variables APMA E3102 (3) 1 Partial differential equations (Applied math, II) Course from Group A or Group B 2 APMA E4300 (3) Introduction to numerical methods (Computational math, I) MATH W4061 (3) Modern analysis APMA E4101 (3) Introduction to dynamical systems (Applied math, III) APMA E4903 (4) Seminar APMA E3900 (3) 3 Research Courses designated MATH, APMA, or STAT (3) Electives Tech 4 3 points 3 points 3 points 6 points NonTech 3 points 3 points 3 points 3 points total points 15 15 16 15 1 MATH V2010 may be substituted for APMA E3101; APMA E4200 or MATH V3028 may be substituted for APMA E3102; MATH V3007 may be substituted for APMA E4204. 2 One course from Group A and one course from Group B required for graduation. Group A: IEOR E3658: Probability; SIEO W4105: Probability; SIEO W3600: Introduction to probability and statistics; SIEO W4150: Introduction to probability and statistics; STAT W3105: Introduction to probability; MATH W4155: Probability theory. Group B: STAT W3107: Statistical inference; STAT W4107: Statistical inference; STAT W4109: Probability and statistical inference; SIEO W 4606: Elementary stochastic processes; IEOR E3106: Introduction to stochastic models; IEOR E4106: Introduction to operations research: stochastic models; IEOR E4703: Monte Carlo simulation; COMS W4771: Machine learning. 3 With an adviser’s permission, an approved technical elective may be substituted. 4 Any course in science or engineering at the 3000 level or above qualifies as a technical elective. ematics students can focus their technical electives and develop a strong base of knowledge in a specialty area. There is no requirement to focus electives, so students may take as many or as few of the recommended courses in a specialty area as is appropriate to their schedules and interests. Some specialties are given below, but this is not an exclusive list and others can be worked out in coordination with the student’s adviser. The courses that are often taken, or in some cases need to be taken, in the junior year are denoted with a “J.” Technical Electives • Applications of Physics Courses that will give a student a broad background in applications of physics: ELEN E3000x: Circuits, systems, and electronics (J) MSAE E3103x: Elements of materials science (J) APPH E4010x: Intro to nuclear science PHYS G4018y: Solid-state physics APMA E4101y: Intro to dynamical systems APPH E4110x: Modern optics APPH E4112y: Laser physics APPH E4200x: Physics of fluids APPH E4301y: Intro to plasma physics • Earth and Atmospheric Sciences The Earth sciences provide a wide range of problems of interest to physicists and mathematicians ranging from the dynamics of the Earth’s climate to earthquake physics to dynamics of Earth’s deep interior. The Lamont-Doherty Earth Observatory, which is part of Columbia University, provides enormous resources for students interested in this area. Atmosphere, Oceans, and Climate EESC W4008y: Intro to atmospheric science APPH E4200x: Physics of fluids APPH E4210y: Geophysical fluid dynamics EESC W4925x: Prin of physical oceanography EESC W4930y: Earth’s oceans and atmosphere Solid Earth Geophysics EESC W4001x: Advanced general geology EESC W4113x: Intro to mineralogy APPH E4200x: Physics of fluids EESC W4701y: Intro to igneous petrology EESC W4941y: Principles of geophysics EESC W4950x: Mathematical methods in the Earth sciences (See also courses listed under Scientific Computation and Computer Science on this page.) • Basic Physics and Astrophysics Fundamental physics and astrophysics can be emphasized. Not only is astrophysics providing a deeper understanding of the universe, but it is also testing the fundamental principles of physics. PHYS W3002y: From quarks to the cosmos: applications of modern physics ASTR C3601x: General relativity, black holes, and cosmology (J) ASTR C3602y: Physical cosmology (J) ASTR G4001y: Astrophysics, I APMA E4101x: Intro to dynamical systems 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 and 16: Undergraduate Studies
Page 17 and 18: students improve their ability to e
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: Applied Physics: Third and Fourth Y
Page 69 and 70: are determined in consultation with
Page 71 and 72: APPH E4110x Modern optics 3 pts. Le
Page 73 and 74: squares method, pseudo-inverses, si
Page 75 and 76: iomedical engineering 351 Engineeri
Page 77 and 78: of courses in mathematics, physics,
Page 79 and 80: iomedical engineering. Up to 12 poi
Page 81 and 82: iomedical engineering Program: Thir
Page 83 and 84: BMEN E4420y Biomedical signal proce
Page 85 and 86: BMEN E6400x Analysis and quantifica
Page 87 and 88: chemical nature of things and provi
Page 89 and 90: and broad-ranging nature of the deg
Page 91 and 92: chemical engineering: Third and Fou
Page 93 and 94: principles, environmental sciences,
Page 95 and 96: systems are treated next (dominant
Page 97 and 98: 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
Page 105 and 106: and leadership on the part of engin
Page 107 and 108: ENME E4363y Multiscale computationa
Page 109 and 110: computer engineering program: first
Page 111 and 112: computer engineering program: first
Page 113 and 114: Computer Science 450 Computer Scien
Page 115 and 116: Track 2: Systems Track The systems
Page 117 and 118:
computer science: Third and Fourth
Page 119 and 120:
CSEE W3827x and y Fundamentals of c
Page 121 and 122:
EECS E4340x Computer hardware desig
Page 123 and 124:
COMS E61xx course and/or COMS W4444
Page 125 and 126:
COMS E6902x and y Thesis 1-9 pts. A
Page 127 and 128:
Engineer, and the doctorate degrees
Page 129 and 130:
Scholarships, Fellowships, and Inte
Page 131 and 132:
earth and environmental engineering
Page 133 and 134:
sludge or cake that must be dispose
Page 135 and 136:
theory and practical aspects of dat
Page 137 and 138:
EAEE E4241x Solids handling and tra
Page 139 and 140:
permission. Critical discussion of
Page 141 and 142:
engineering. Details on those progr
Page 143 and 144:
electrical engineering: Third and F
Page 145 and 146:
electrical engineering: Third and F
Page 147 and 148:
outside of engineering and science
Page 149 and 150:
knowledge of elementary algebra. EL
Page 151 and 152:
ELEN E4488x Optical systems 3 pts.
Page 153 and 154:
ELEN E6321y Advanced digital electr
Page 155 and 156:
and different topics rotate through
Page 157 and 158:
ELEN E6781y Topics in modeling and
Page 159 and 160:
Current Research Activities In indu
Page 161 and 162:
take one additional 3-point course.
Page 163 and 164:
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
Page 173 and 174:
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
Page 236 and 237:
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
show all

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

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?

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