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2021-2022 Bulletin

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2021-2022 Bulletin Columbia | Engineering Columbia 2021 –2022 500 West 120th Street New York, NY 10027 BULLETIN 2021– 2022 Academic Calendar 2021–2022 The following Academic Calendar was correct and complete when compiled; however, the University reserves the right to revise or amend it, in whole or in part, at any time. Information on the current Academic Calendar may be obtained in the Student Service Center, 205 Kent, 212-854-4330, or visit registrar.columbia.edu. FALL TERM 2021 SPRING TERM 2022 August January 24–26; Sept. 2–6 Registration by appointment (undergraduate) 4–7, 10–14 Registration by appointment (undergraduate and 27–Sept. 10 Graduate orientation and graduate department graduate) orientations TBA Graduate orientation 29–Sept. 8 New student orientation program 17 Birthday of Martin Luther King Jr., 31–Sept. 2 Registration by appointment (graduate) University holiday 18 First day of classes September 18–31 Change of program by appointment (weekdays) 1 Last Day to apply for October degrees 22 Deadline to add spring courses 6 Labor Day, University holiday UNDERGRADUATE ADMISSIONS Need more information? 9 First day of classes February Office of Undergraduate Admissions You can find the contact information 9–21 Change of program by appointment (weekdays) 9 February degrees conferred 212 Hamilton Hall, Mail Code 2807 in the Columbia University Resource List 21 Last day to (1) register for academic credit, (2) change course programs, (3) submit written March 1130 Amsterdam Avenue on pages 226–228 or visit the Columbia Engineering 7 Midterm date website, engineering.columbia.edu. notice of withdrawal from the fall term to the Dean New York, NY 10027 of Student Affairs for full refund of tuition and 14–18 Spring recess Phone: 212-854-2522 special fees, (4) drop Core Curriculum classes. No 24 Last day to drop Engineering courses without For the most current information, visit our online Fax: 212-854-3393 adjustment of fees for individual courses dropped academic penalty. Last day to change grading bulletin at bulletin.engineering.columbia.edu. [email protected] after this date. option 30 Last day to confirm, update, or request a waiver from undergrad.admissions.columbia.edu the Student Medical Insurance Plan. April Photography: TBA Registration by appointment for fall 2022 GRADUATE ADMISSIONS Monolayer WSe2 hosting “composite fermions,” a October 20 October degrees conferred May Graduate Admissions quasi-particle that forms due to strong interactions 21 Midterm date 2 Last day of spring classes 1220 S. W. Mudd, Mail Code 4708 between electrons and is responsible for the 3–5 Study days 500 West 120th Street sequence of fractional quantum Hall states. From November 5 Last day for continuing students to apply New York, NY 10027 the lab of Wang-Fong Jen Professor of Mechanical 1 Last day to apply for February degrees for financial aid for the 2022–2023 academic year. 212-854-4688 Engineering James Hone. 1 Academic holiday 6–13 Final exam period for spring courses 16–18 Class Day and University Commencement will [email protected] 2 Election Day. University holiday 15–19 Registration by appointment for spring 2022 take place during this week (specific dates to be gradengineering.columbia.edu Superimposed over this image is the emblem of the (undergraduate) announced). School’s vision, Columbia Engineering for Humanity. 18 Last day to drop Engineering courses without FINANCIAL AID academic penalty. Last day to change a grading option. Office of Financial Aid and Educational Financing 22–24 Registration by appointment (graduate) Office: 618 Lerner Hall 24 Academic holiday Mailing: 100 Hamilton Hall, Mail Code 2802 25–26 Thanksgiving holiday 1130 Amsterdam Avenue December New York, NY 10027 1 Last day to apply for May degrees Phone: 212-854-3711 13 Last day of classes Fax: 212-854-5353 14–15 Study days [email protected] 16–23 Final examinations cc-seas.financialaid.columbia.edu 24–Jan. 17 Winter recess BULLETIN 2021– 2022 Mission The mission of Columbia Engineering (The Fu Foundation School of Engineering and Applied Science) is to expand knowledge and advance technology through research, while educating students to become leaders and innovators informed by an engineering foundation. Enriched with the intellectual resources of a global university in the City of New York, we push disciplinary frontiers, confront complex issues, and engineer innovative solutions to address the grand challenges of our time. We create a collaborative environment that embraces interdisciplinary thought, creativity, integrated entrepreneurship, cultural awareness, and social responsibility, and advances the translation of ideas into innovations that impact humanity. Our mission can be encapsulated as "Transcending Disciplines, Educating Leaders, Transforming Lives." ENGINEERING 2021–2022 A MESSAGE FROM THE DEAN elcome to Columbia University’s Our school vision—Columbia Engineering for Fu Foundation School of Humanity—encapsulates our efforts to make Engineering and Applied Science. a positive impact on society. It highlights the WTogether with a talented group of students innovative and interdisciplinary work that from around the world, you are embarking on a our faculty and students are engaged in to course of study that will enable you to become create a more sustainable, healthy, secure, the next generation of leaders—leaders with connected, creative, and equitable world. a foundational degree in engineering that As you prepare for a new academic year, will prepare you for a wealth of pursuits in we urge you to reflect on this vision and engineering and applied science, as well as embrace the many opportunities afforded to many other fields and industries. you by a world-class university. Our community has a long history of There has never been a better time to be scientific and engineering breakthroughs a Columbia Engineer. I encourage you to seek that have impacted our world. From the out the exceptional opportunities for learning School’s beginning in 1864 through today, and advancement that await you here. the work of faculty, alumni, and students has pushed disciplinary frontiers to create, invent, and innovate devices, materials, tools, and With best wishes for the academic year, processes to make life better. Our first dean, Charles Frederick Chandler, Shih-Fu Chang served as president of New York City’s Interim Dean, Columbia Engineering Metropolitan Board of Health. In this role, he Richard Dicker Professor of Electrical crusaded to ensure the purity of food and Engineering and Computer Science drugs, the safety of milk, the availability of clean water in the city, and the introduction of building codes. Today, we continue to be a school embedded in our community while cultivating a global mindset that is mindful of the ways in which we are all connected. Our faculty and students continue to bring their curiosity, creative drive, and entrepreneurial spirit to some of the biggest challenges of our time. ENGINEERING 2021–2022 TABLE OF CONTENTS About the School and 1 Financing Graduate Education 32 MECHANICAL ENGINEERING 186 University Instructions for Financial Aid 32 COLUMBIA ENGINEERING — 2 Applicants Undergraduate Minors 203 YESTERDAY AND TODAY Graduate School Departmental 32 Funding Interdisciplinary Courses 209 Alternative Funding Sources 33 Undergraduate Studies 7 and Professional Development Other Financial Aid—Federal 33 and Leadership Program THE UNDERGRADUATE 8 and Private Programs INTERDISCIPLINARY 210 PROGRAMS Veterans Benefits 33 Policy on Degree Requirements 9 Employment 34 ENGINEERING COURSES The First-Year/Sophomore Program 9 Contact Information 34 PROFESSIONAL DEVELOPMENT 211 Study Abroad 13 AND LEADERSHIP Combined Plan Programs 14 Faculty and Administration 35 The Junior-Senior Programs 14 Programs in Preparation for 16 University and School 213 45 Other Professions Academic Departments Policies, Procedures, and Joint Programs 17 and Programs Regulations Undergraduate Admissions 17 KEY TO COURSE LISTINGS 46 ACADEMIC PROCEDURES 214 AND STANDARDS UNDERGRADUATE TUITION, 18 APPLIED PHYSICS AND 48 FEES, AND PAYMENTS APPLIED MATHEMATICS ACADEMIC STANDING 218 FINANCIAL AID FOR 20 BIOMEDICAL ENGINEERING 63 ACADEMIC INTEGRITY AND 221 UNDERGRADUATE STUDY DISCIPLINE CHEMICAL ENGINEERING 78 Graduate Studies 21 CIVIL ENGINEERING AND 88 Directory of University 225 THE GRADUATE PROGRAMS 22 ENGINEERING MECHANICS Resources The Master of Science Degree 22 COMPUTER ENGINEERING 102 COLUMBIA UNIVERSITY 226 Doctoral Degrees: Eng.Sc.D. 24 PROGRAM RESOURCE LIST and Ph.D. Nondegree Students 25 COMPUTER SCIENCE 107 MAPS 230 Office of Graduate Student Affairs 25 EARTH AND ENVIRONMENTAL 123 INDEX 232 COLUMBIA VIDEO NETWORK 26 ENGINEERING Academic Calendar (see inside back GRADUATE ADMISSIONS 28 ELECTRICAL ENGINEERING 136 cover) GRADUATE TUITION, FEES, 30 INDUSTRIAL ENGINEERING 157 AND PAYMENTS AND OPERATIONS RESEARCH FINANCIAL AID FOR GRADUATE 32 MATERIALS SCIENCE AND 177 STUDY ENGINEERING PROGRAM About the School and University 2 COLUMBIA ENGINEERING–YESTERDAY AND TODAY A COLONIAL CHARTER A MODERN SCHOOL and detect the frequencies of enemy Since its founding in 1754, as King’s FOR MODERN TIMES aircraft ignition systems. After the war, College, Columbia University has always The School of Mines became the Armstrong improved his method of been an institution both of and for the School of Mines, Engineering, and frequency modulation (FM), and by City of New York. And it has always Chemistry in 1896, and its professors 1931, had both eliminated
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