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Engineering Bulletin 2020-2021

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Engineering Bulletin 2020-2021 Columbia | Engineering Columbia 2020 –2021 500 West 120th Street New York, NY 10027 BULLETIN 2020– 2021 Academic Calendar 2020–2021 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 2020 SPRING TERM 2021 August January 22–Sept. 4 Graduate orientation and graduate department TBA Registration by appointment for all classes orientations TBA Graduate orientation 30–Sept. 7 New student orientation program TBA Registration by appointment (undergraduate and 3–7, 25–27 Registration by appointment (undergraduate) graduate) 11 First day of classes September 11–15, 19–22 Change of program by appointment 1 Last Day to apply for October degrees 15 Deadline to add Spring A courses 1–3 Registration by appointment (graduate) 18 Birthday of Martin Luther King Jr., 7 Labor Day, University holiday University holiday UNDERGRADUATE ADMISSIONS Need more information? 8 First day of classes 22 Deadline to add Spring (full term) courses Office of Undergraduate Admissions You can find the contact information 8–11, 14–18 Change of program by appointment 25 Deadline to drop a Spring A course 212 Hamilton Hall, Mail Code 2807 in the Columbia University Resource List 18 Last day to (1) register for academic credit, (2) change course programs, (3) submit written February 1130 Amsterdam Avenue on pages 225–228 or visit the Columbia Engineering 8 Deadline to declare pass/d/fail option for Spring A 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 courses. Deadline to withdraw from a Spring A course Phone: 212-854-2522 special fees, (4) drop Core Curriculum classes. No 10 February degrees conferred For the most current information, visit our online Fax: 212-854-3393 adjustment of fees for individual courses dropped 23–26 Reading and final exam period for Spring A courses bulletin at bulletin.engineering.columbia.edu. [email protected] after this date. 22 Deadline to drop Fall A courses March undergrad.admissions.columbia.edu 30 Last day to confirm, update, or request 1–5 Spring recess Photography: a waiver from the Student Medical Insurance Plan. 8 First day of Spring B classes GRADUATE ADMISSIONS Nanfang Yu and Cheng-Chia Tsai. Butterflies have 18 Deadline to drop a course October 22 Deadline to drop a Spring B course (late drop) Graduate Admissions, Financial Aid, and Student Affairs specialized behaviors and wing scales to protect the 21 October degrees conferred 25 Last day to drop Engineering courses without living parts of their wings. 530 S. W. Mudd, Mail Code 4708 22 Midterm date academic penalty. Last day 500 West 120th Street 26 First day of Fall B courses to change grading option New York, NY 10027 Superimposed over this image is the emblem of the April 212-854-6438 School’s vision, Columbia Engineering for Humanity. November 5 Deadline to withdraw from a Spring B course. [email protected] 1 Last day to apply for February degrees 2 Academic holiday Deadline to declare the pass/d/fail option for a gradengineering.columbia.edu 3 Election Day. University holiday Spring B course. 9 Deadline to drop Fall B courses TBA Registration by appointment for fall 2021 FINANCIAL AID 16–20 Registration by appointment for spring 2021 15 Last day of Spring (full term) and Spring B classes 19 Last day to drop Engineering courses without 16–19 Study days Office of Financial Aid and Educational Financing academic penalty. Last day to change a grading 20–23 Final exam period for Spring (full term) and Spring B Office: 618 Lerner Hall option. courses Mailing: 100 Hamilton Hall, Mail Code 2802 TBA Registration by appointment (graduate) 26–30 Class Day and University Commencement will 1130 Amsterdam Avenue 25 Academic holiday take place during this week (specific dates to be 26–27 Thanksgiving holiday announced). New York, NY 10027 Phone: 212-854-3711 December May Fax: 212-854-5353 1 Last day to apply for May degrees 5 Last day for continuing students to apply [email protected] 7 Deadline to withdraw from a Fall B course for financial aid for the 2021–2022 academic year. cc-seas.financialaid.columbia.edu 14 Last day of classes 15–16 Study days SUMMER TERM 2021 17–23 Final examinations 24–Jan. 10 Winter recess May 3 First day of classes for Summer (full term) and Summer A courses June 28 First day of Summer B classes BULLETIN 2020– 2021 A MESSAGE FROM THE DEAN elcome to Columbia University’s challenges of our time. We have a school Fu Foundation School of vision—Columbia Engineering for Humanity— W Engineering and Applied Science. that encapsulates our efforts to make a positive As students here, you are among the very best impact on society. It highlights the innovative and brightest of your generation. Together and interdisciplinary work that our faculty and with a talented group of students from around students are engaged in to create a more the world, you are embarking on a course sustainable, healthy, secure, connected, and of study that will enable you to become the creative world. next generation of leaders—leaders with a As you prepare for a new academic year, foundation in engineering. we urge you to reflect on this vision and Today, engineering is a foundational degree. embrace the many opportunities afforded to The breadth and depth of our curriculum and you by a world-class university. course offerings prepare students for a wealth There has never been a better time to be of pursuits in engineering and applied science a Columbia Engineer. I encourage you to seek and also provide a launch into many other out the exceptional opportunities for learning fields and industries. and advancement that await you here. Our community has a long history of scientific and engineering breakthroughs that With best wishes for the academic year, have impacted our world. From the School’s beginning in 1864 through today, the work of faculty, alumni, and students has pushed disciplinary frontiers to create, invent, and innovate devices, materials, and processes to make life better. Our first dean, Charles Frederick Chandler, Mary C. Boyce served as president of New York City’s Dean of Engineering Metropolitan Board of Health. In this role, he Morris A. and Alma Schapiro Professor crusaded to ensure the purity of food and drugs, the safety of milk, the availability of clean water in the city, and the introduction of Mission building codes. The mission of Columbia Engineering (The Fu Foundation School of Engineering and Applied Science) is to expand Today, our faculty and students continue knowledge and advance technology through research, while educating students to become leaders and innovators to bring their curiosity, creative drive, informed by an engineering foundation. Enriched with the intellectual resources of a global university in the City of New entrepreneurial energy, and an innovative York, we push disciplinary frontiers, confront complex issues, and engineer innovative solutions to address the grand engineering mindset to some of the biggest 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 2020–2021 ENGINEERING 2020–2021 TABLE OF CONTENTS About the School and 1 Financing Graduate Education 32 MECHANICAL ENGINEERING 186 University Instructions for Financial Aid 32 Applicants 203 About the School and University COLUMBIA ENGINEERING — 2 Undergraduate Minors 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 ENGINEERING COURSES Policy on Degree Requirements 9 Employment 34 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 14 213 Programs in Preparation for 16 University and School 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 62 ACADEMIC INTEGRITY AND 221 UNDERGRADUATE STUDY DISCIPLINE CHEMICAL ENGINEERING 77 Graduate Studies 21 CIVIL ENGINEERING AND 87 Directory of University 225 THE GRADUATE PROGRAMS 22 ENGINEERING MECHANICS Resources COLUMBIA UNIVERSITY 226 The Master of Science Degree 22 COMPUTER ENGINEERING 101 RESOURCE LIST Doctoral Degrees: Eng.Sc.D. 24 PROGRAM and Ph.D. MAPS 230 Nondegree Students 25 COMPUTER SCIENCE 106 Office of Graduate Student Affairs 25 INDEX 232 EARTH AND ENVIRONMENTAL 122 COLUMBIA VIDEO NETWORK 26 ENGINEERING Academic Calendar (see inside back cover) GRADUATE ADMISSIONS 28 ELECTRICAL ENGINEERING 136 GRADUATE TUITION, FEES, 30 INDUSTRIAL ENGINEERING 157 AND PAYMENTS AND OPERATIONS RESEARCH FINANCIAL AID FOR GRADUATE 32 MATERIALS SCIENCE AND 177 STUDY ENGINEERING PROGRAM 2 COLUMBIA ENGINEERING–YESTERDAY AND TODAY 3 A COLONIAL CHARTER A MODERN SCHOOL enemy aircraft ignition systems. After Since its founding in 1754, as King’s FOR MODERN TIMES the war, Armstrong improved his College, Columbia University has The School of Mines became the method of frequency modulation (FM), always been an institution both of and School of Mines, Engineering, and and by 1931, had both eliminated for the City of New York.
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