Electrical Engineering
Electrical
Engineering courses
Electrical Engineering department
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Director of undergraduate studies: Kumpati Narendra, 512 DL, 432-9909, kumpati.narendra@yale.edu
FACULTY OF THE DEPARTMENT OF ELECTRICAL ENGINEERING
Professors
Andrew Barron, Richard Chang, James Duncan, Jung Han, Peter Kindlmann (Adjunct), Roman Kuc, Tso-Ping Ma, A. Stephen Morse, Kumpati Narendra, Mark Reed, Peter Schultheiss (Emeritus), J. Rimas Vaišnys, Jerry Woodall (Adjunct), Steven Zucker
Associate Professors
Richard Lethin (Adjunct), Yiorgos Makris, Janet Pan, Lawrence Staib, Hemant Tagare, Sekhar Tatikonda, Edmund Yeh
Assistant Professors
Sobeeh Almukhaizim (Visiting), Eugenio Culurciello, Hür Köser, Prabhakar Kudva (Adjunct), Minjoo Lee, Andreas Savvides, Hong Tang
Electrical Engineering broadly encompasses disciplines such as microelectronics, photonics, computer engineering, signal processing, control systems, and communications, all of which enable and underpin a modern technological society. Three degree programs are offered that allow students to select the level of technical depth appropriate for individual goals. The B.A. in Engineering Sciences (Electrical) is suitable for a career outside technology, in which a student nevertheless benefits from an appreciation of electrical engineering perspectives. The B.S. in Engineering Sciences (Electrical) provides more technical exposure while retaining academic options outside the electrical engineering core area. The B.S. in Electrical Engineering, accredited by the Accreditation Board for Engineering and Technology (ABET), is appropriate for highly motivated students who are interested in learning the scientific fundamentals and the technologies and creative processes of contemporary electrical engineering. In a world deeply dependent on technology, recent ABET graduates have found their degree a particularly effective credential not only for further work in engineering, but also for careers in business, management consulting, investment banking, medicine, and intellectual property law.
Because the introductory courses are common to all three degree programs, the student does not usually need to make a final choice before the junior year. An interdepartmental program with Computer Science is also offered (see under Electrical Engineering and Computer Science) and students can pursue interdisciplinary studies in other areas of engineering and science.
Prerequisites. All three degree programs require MATH 112a or b, 115a or b, ENAS 151a or MATH 120a or b or higher, and PHYS 180a, 181b or higher (PHYS 150a, 151b is acceptable for the B.A. degree). Acceleration credits awarded on entrance can be used to satisfy the MATH 112a or b and 115a or b requirements. Students whose preparation exceeds the level of ENAS 151a or MATH 120a or b are asked to take a higher-level mathematics course instead, such as MATH 250a. Similarly, students whose preparation at entrance exceeds the level of PHYS 180a, 181b are asked to take higher-level physics courses instead, such as PHYS 200a, 201b; consult with the director of undergraduate studies.
B.S. degree program in Electrical Engineering. The ABET-accredited B.S. in Electrical Engineering requires, beyond the prerequisites, four term courses in mathematics and science, thirteen term courses in topics in engineering, and one term course in professional ethics. In the language of the ABET guidelines, graduates from this program will (1) have gained an in-depth appreciation of electrical engineering technological frontiers through close interaction with faculty; (2) be able to enter highly selective graduate schools, or pursue technical careers in industry or national labs, or bring to their careers as business, national, or global leaders knowledge of technologies that will continue to be the key drivers of social productivity; (3) be able to apply knowledge in science and mathematics to formulate and solve electrical engineering problems qualitatively and quantitatively; (4) be able to communicate ideas effectively to multidisciplinary audiences; and (5) be able to exhibit broad awareness of contemporary social and environmental issues.
Requirements beyond the prerequisites include:
1. Mathematics and basic science (four term courses): ENAS 194a or b; MATH 222a or b or 225a or b; APHY 322b or equivalent; STAT 241a or equivalent.
2. Electrical engineering and related subjects (thirteen term courses): EENG 200a, 201b, 202a, 203b, 310b, 320a, 325b, 348a, 481a (the senior project); and four engineering electives, at least three of which should be at the 400 level.
3. Professional ethics: ENAS 335a or equivalent.
Each student's program must be approved by the director of undergraduate studies.
For students who have taken the equivalent of one year of calculus in high school, a typical ABET-accredited B.S. program might include:
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Freshman
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Sophomore
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Junior
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Senior
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EENG 200a
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EENG 202a
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EENG 320a
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EENG 481a
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ENAS 151a or MATH 120a
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STAT 241a
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EENG 348a
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Two electives
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PHYS 180a
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EENG 335a
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Two electives
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EENG 201b
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EENG 203b
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APHY 322b
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MATH 222b
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ENAS 194b
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EENG 310b
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PHYS 181b
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EENG 325b
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For students who must start with MATH 112a or b, a typical ABET-accredited B.S. program might include:
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Freshman
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Sophomore
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Junior
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Senior
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MATH 112a
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EENG 200a
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EENG 202a
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EENG 481a
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ENAS 151a or MATH 120a
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EENG 320a
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STAT 241a
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PHYS 180a
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EENG 348a
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Two electives
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ENAS 335a
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EENG 201b
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ENAS 194b
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EENG 203b
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APHY 322b
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MATH 115b
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MATH 222b
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EENG 310b
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Two electives
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PHYS 181b
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EENG 325b
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Faster-paced and slower-paced variations are possible, depending on the student's level of preparation and commitment to the major; consult with the director of undergraduate studies.
B.S. degree program in Engineering Sciences (Electrical). This program requires fewer technical courses and allows more freedom for work in technical areas outside the traditional electrical engineering disciplines (e.g., economics or cognitive psychology). It requires thirteen technical term courses beyond the prerequisites, specifically: MATH 222a or b or 225a or b; ENAS 194a or b; EENG 200a, 201b, 202a, 203b, 471a (the senior project); and six electives approved by the director of undergraduate studies, at least three of which must be at the 400 level.
For students who have taken the equivalent of one year of calculus in high school, a typical program for this degree might include:
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Freshman
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Sophomore
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Junior
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Senior
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EENG 200a
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EENG 202a
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Two electives
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EENG 471a
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ENAS 151a or MATH 120a
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One elective
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PHYS 180a
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Two electives
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EENG 201b
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EENG 203b
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One elective
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MATH 222b
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ENAS 194b
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PHYS 181b
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For students who must start with MATH 112a or b, a typical program for this degree might include:
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Freshman
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Sophomore
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Junior
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Senior
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MATH 112a
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EENG 200a
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EENG 202a
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EENG 471a
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ENAS 151a or MATH 120a
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One elective
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Two electives
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PHYS 180a
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EENG 201b
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ENAS 194b
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EENG 203b
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Two electives
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MATH 115b
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MATH 222b
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One elective
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PHYS 181b
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Faster-paced and slower-paced variations are possible, depending on the student's level of preparation and commitment to the major; consult with the director of undergraduate studies. The implied flexibility during the junior and senior years in the schedules above is often used to accommodate a second major, such as Economics, or to master a related technical area, such as recent developments in biology or environmental studies.
B.A. degree program in Engineering Sciences (Electrical). This program is appropriate for those planning a career in fields such as business, law, or medicine where scientific and technical knowledge is likely to be useful. It requires eight technical term courses beyond the prerequisites, specifically: MATH 222a or b or 225a or b, or ENAS 194a or b; EENG 200a, 201b, 202a, and 471a (the senior requirement); and three approved electives.
Senior requirement. A research or design project carried out in the fall term of the senior year is required in all three programs. The student must take EENG 471a or 481a, present a written report, and make an oral presentation during the fall term. The written report is due in the departmental office by the last day of reading period. Arrangements to undertake a project in fulfillment of the senior requirement must be made by the end of the reading period of the preceding term, when a registration form (available from the departmental office), signed by the intended faculty adviser and the director of undergraduate studies, must be submitted.
Approval of programs. All Electrical Engineering and Engineering Sciences majors must have their programs approved by the director of undergraduate studies. Arrangements to take EENG 235a, 236b, 471a, 472b, 481a, or 482b must be made during the term preceding enrollment in the course. Courses taken Credit/D/Fail may not be counted toward the requirements of the major.
Transition from previous requirements. The major requirements described above apply to the Class of 2011 and subsequent classes. Students in the Class of 2010 and previous classes should refer to previous editions of this bulletin for the appropriate major requirements. Juniors and seniors who have completed only part of the previous sophomore sequence EENG <226a>, <227a>, <228b>, <229b> should consult with the director of undergraduate studies. In 2008–2009, sophomores are advised to take both EENG 200a and 202a in the fall term in order to fulfill the prerequisites for taking 203b in the spring term.
Select Program in Engineering. Qualified students majoring with a B.S. degree in Electrical Engineering or Engineering Sciences (Electrical) may be eligible to apply for a special program that includes industry research experience. See under Engineering.
REQUIREMENTS OF THE MAJOR
ELECTRICAL ENGINEERING, B.S.
Prerequisites: MATH 112a or b, 115a or b; ENAS 151a or MATH 120a or b or higher; PHYS 180a, 181b or higher
Number of courses: 18 term courses beyond prereqs, incl senior req
Specific courses required: ENAS 194a or b; MATH 222a or b or 225a or b; APHY 322b; STAT 241a; EENG 200a, 201b, 202a, 203b, 310b, 320a, 325b, 348a; ENAS 335a or equivalent
Senior requirement: One-term research or design project (EENG 481a)
ENGINEERING SCIENCES (ELECTRICAL), B.S. AND B.A.
Prerequisites: Both degrees—MATH 112a or b, 115a or b; ENAS 151a or MATH 120a or b or higher; B.S.—PHYS 180a, 181b or higher; B.A.—PHYS 150a, 151b or higher
Number of courses: B.S.—13 term courses beyond prereqs, incl senior req; B.A.—8 term courses beyond prereqs, incl senior req
Specific courses required: B.S.—ENAS 194a or b; MATH 222a or b or 225a or b; EENG 200a, 201b, 202a, 203b; B.A.—1 from ENAS 194a or b, or MATH 222a or b or 225a or b; EENG 200a, 201b, 202a
Senior requirement: Both degrees—one-term research or design project (EENG 471a)
