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Electrical Engineering

2018-19 General Catalog

Baskin School of Engineering
335 Baskin Engineering Building
(831) 459-2158
https://www.soe.ucsc.edu

Faculty | Course Descriptions

*Note: Corrections regarding two courses required as part of the Electrical Engineering Admissions Policy and the Lower-Division Requirements were made on 11/20/18. Corrections are notated with strikethrough and underline.

Program Description

Mission Statement

The mission of the Electrical Engineering (EE) Department is to build and sustain a teaching and research program to provide undergraduate and graduate students with inspiring and quality education in the theory and practice of hardware- and information-processing-oriented electrical engineering; serving industry, science, and government; and bringing faculty and staff a rewarding career in teaching, research, and service. The electrical engineering program is accredited by the Engineering Accreditation Commission of ABET.

Summary of Objectives

The educational objectives that the Electrical Engineering Department strives to provide for students are focused in five areas: advance learning; professional development; adaptation to technological change; leadership, teamwork and entrepreneurial skills; ethics and societal issues.

Engineering is a profession emphasizing analysis and design. Electrical engineers apply their knowledge to an expanding array of technical, scientific, and mathematical questions. A good engineering education has three parts: a sound foundation in mathematics and science, substantial design experience to develop skills and engineering aesthetics, and a focus in the humanities and social sciences to learn how and where to apply the skills developed. Electrical engineering is a very broad discipline. The program at UCSC complements existing campus programs, emphasizing three general areas: electronics/optics (including digital and analog circuits and devices); communications (including signal and image processing and control); and VLSI design, micro-technology, nanotechnology, and biomedical devices.

The undergraduate curriculum provides a balance of engineering science and design. For the first two years, all electrical engineering students are expected to take a basic set of lower-division mathematics, physical science, and engineering courses. After the first two years, electrical engineering students focus on topics within the discipline and specialize in one of two options: electronics/optics, including digital and analog circuits and devices, VLSI design, optoelectronics, electromagnetics, power engineering, and biomedical device engineering; or communications, signals, systems, and control, including optical, wireless communication, signal and image processing, networks signal processing, instrumentation, and control. Students interested in admission to the electrical engineering major should contact the Baskin School of Engineering Undergraduate Advising office, (831) 459-5840 or advising@soe.ucsc.edu.

Program Learning Outcomes

1. Fundamentals: Acquire instruction in the prerequisites for a career based on electrical engineering, including theory, design and the basic science upon which future technology will be based.

2. Theory and practical knowledge: Learn the theory and practical knowledge in hardware and information oriented electrical engineering, including a variety of opportunities for specialized further study.

3. Professional development: Learn the basis for a high-quality, professional approach to engineering, including skills in clear communication, teamwork, responsibility, high ethical standards, a desire for lifelong learning, and participation in the professional engineering community.

4. Preparation for an engineering career: Develop both individual creative skills for personal achievement as well as interpersonal skills for a team project environment, including an ability to apply research to engineering and learn how knowledge is applied in an industry setting.

Electrical Engineering Policies

Admissions Policy

Admission to the electrical engineering major is selective. In order to be admitted into the electrical engineering major students must be listed as a proposed major within the School of Engineering. Students in the engineering and computing cluster must propose a major before they can declare. Please refer to the “Proposed Engineering Major Status" section of the School of Engineering Program Statement for more information.

*Students who are proposed School of Engineering majors will be permitted to apply to declare an electrical engineering major upon successful completion of all the following foundation courses with a GPA of 2.8 or better: Mathematics 19A-B, Applied Mathematics and Statistics 10 or Mathematics 24 21 and Applied Mathematics 20 or Mathematics 21 24. Physics 5A/L, 5B/M, and 5C/N. Additionally students must complete an "Introduction to Engineering" class, chosen from the following courses: Electrical Engineering 80T (Recommended), Computer Engineering 80H, or Technology and Information Management 80C.

Students who are informed that they are not eligible to declare for the major may appeal this decision.

Course Substitution

Please refer to the School of Engineering section of the catalog for the policy regarding course substitution.

Letter Grade Policy

The Electrical Engineering Department requires letter grading for all courses applied toward the bachelor of science (B.S.) degree.

Honors in the Major

Electrical engineering majors are considered for “Honors in the Major” and “Highest Honors in the Major” based on the GPA and on results of undergraduate research and other significant contributions to the School of Engineering. Students with a GPA of 3.7 receive highest honors. Students with a GPA of 3.3, receive honors. A student meeting the GPA requirement for highest honors or honors may not receive honors if a student has been found guilty of academic misconduct. Students with particularly significant accomplishments in undergraduate research or contributions to the School of Engineering may be considered with a lower GPA. Electrical engineering juniors and seniors may also be eligible for election to the UCSC chapter of Tau Beta Pi, the national engineering honor society founded in 1885.

Transfer Students

Acceptance into the major is based on the student’s academic college record and preparation for the major. Transfer students should seek advisement as their plans will vary depending on their lower-division courses. Applicants are encouraged to take and excel in as many courses that are equivalent to the department’s foundation courses as possible. For electrical engineering majors, the following courses, or their equivalents, should be completed prior to transfer: first year calculus (Mathematics 19A-B), linear algebra (Applied Mathematics and Statistics 10 or Mathematics 21), differential equations (Applied Mathematics and Statistics 20 or Mathematics 24), a year of calculus-based physics courses (accepted as equivalent to Physics 5A/L, 5B/M, 5C/N). To ensure timely graduation, it is strongly recommended (but not required) that courses (accepted as equivalent to Computer Engineering 12/L and Computer Engineering 13/L) and Multivariable Calculus (accepted as equivalent to Mathematics 23A and 23B) be taken prior to transfer. Only students who have completed the following minimum courses with a GPA of 2.8 or better will be considered for acceptance into the major: Math19A, Math 19B, Physics 5A/L, Physics 5B/M, Physics 5C/N, AMS 10 or Math 21 and AMS 20 or Math 24.

School of Engineering Policies

Please refer to the School of Engineering section of the catalog for additional policies that apply to all School of Engineering programs.

Requirements of the Major

In addition to completing UCSC’s general education requirements, students must complete 13 lower-division science and engineering courses, plus associated laboratories; nine upper-division engineering courses, plus associated laboratories; four engineering electives; and a two-quarter comprehensive senior design project course. To plan for completion of these requirements within the normative time, students should consult with an adviser at the Baskin School of Engineering Undergraduate Advising office as early as possible.

Lower-Division Requirements

Students gain a solid foundation in calculus, engineering mathematics, physics, computer science, and computer engineering during their first two years. Majors must complete the following 13 lower-division courses (including corresponding laboratories). These courses form part of the prerequisite sequence and should be completed during the first two years at UCSC. The requirements are rigorous; students must be prepared to begin these courses early in their studies.

Electrical Engineering

80T, Modern Electronic Technology and How It Works (this course is waived for transfer students)

Computer Engineering/Computer Science

Computer Engineering 12/L, Computer Systems and Assembly Language/ Laboratory

Computer Engineering 13/L, Computer Systems and C Programming/Laboratory or Computer Science 12A/L, Introduction to Programming (Accelerated)/Laboratory, or CMPS 5J and 11

*Mathematics

19A-B, Calculus for Science, Engineering, and Mathematics

23A-B, Multivariable Calculus

24, Differential Equations (or Applied Mathematics and Statistics 10)

Applied Mathematics and Statistics

10, Mathematical Methods for Engineers I (or Mathematics 24 21)

20, Mathematical Methods for Engineers II (or Mathematics 24, Differential Equations)

Physics

5A/L, 5B/M, 5C/N, Introduction to Physics/Laboratories

5D, Heat, Thermodynamics, and Kinetics

Ethics

This requirement is satisfied by completion of EE 129A.

Upper-Division Requirements

Fifteen upper-division courses along with associated 1- or 2-credit laboratories are required for the major. The course requirements include both depth and breadth, technical writing, and a comprehensive capstone design project.

All students are required to take the following eight upper-division courses, with associated laboratories:

Electrical Engineering

101/L, Introduction to Electronic Circuits/Laboratory

103/L, Signals and Systems/Laboratory

135/L, Electromagnetic Fields and Waves/Laboratory

145/L, Properties of Materials/Laboratory

151, Communications Systems

171/L, Analog Electronics/Laboratory

Computer Engineering

100/L, Logic Design/Laboratory

Applied Mathematics and Statistics

131, Introduction to Probability Theory

Required Electives. In addition to completing the above required courses, electrical engineering majors must complete four elective courses chosen from the list below. At least three must be from one of the depth-sequence concentrations listed. Certain graduate-level courses as well as those courses taught in conjunction with graduate courses may also be used to fulfill an elective requirement as listed below. No course may be counted twice. See the electrical engineering website for course descriptions.

Electronics/Optics Concentration

Electrical Engineering

104, Bio-electronics and Bio-instrumentation

115, Introduction to Micro-Electro-Mechanical-Systems Design

130/L/ 230, Introduction to Optoelectronics and Photonics and Laboratory/Optical Fiber Communication

136, Engineering Electromagnetics (strongly recommended)

154/241, Feedback Control Systems, and Introduction to Feedback Control Systems

157/L, RF Hardware Design/Laboratory

172/221, Advanced Analog Circuits/Advanced Analog Integrated Circuits

173/L, High-Speed Digital Design/Laboratory

175/L, Energy Generation and Control/Laboratory

176/L, Energy Conversion and Control/Laboratory

177/L, Power Electronics/Laboratory

178, Device Electronics

180J, Renewable Energy Sources in Practice

211, Introduction to Nanotechnology

213, Micro/Nano-characterization of Materials

231, Optical Electronics

Computer Engineering

118/L, Introduction to Mechatronics/Laboratory

121/L, Microprocessor System Design/Laboratory

167/L, Sensing and Sensor Technologies

Communications, Signals, Systems, and Controls Concentration

Electrical Engineering

130/L/230, Introduction to Optoelectronics, and Photonics and Laboratory/Optical Fiber Communication

136, Engineering Electromagnetics (strongly recommended)

152/252, Introduction to Wireless Communications and Wireless Communications

153/250, Digital Signal Processing/Digital Signal Processing

154/241, Feedback Control Systems and Introduction to Feedback Control Systems

251, Principles of Digital Communications

253, Introduction to Information Theory

261, Error Control Coding

262, Statistical Signal Processing I

264, Image Processing and Reconstruction

Computer Engineering

118/L, Introduction to Mechatronics/Laboratory

150/L, Introduction to Computer Networks/Laboratory

251, Error Control Coding (taught in conjunction with EE 261)

The senior-year curriculum enables students to pursue independent study with a faculty member. Electrical engineering students are encouraged to take advantage of the opportunity to work within a faculty member’s research group as part of their educational experience. Internship programs with local industry are also available.

Disciplinary Communication (DC) Requirement

Students in all majors must satisfy that major's upper-division Disciplinary Communication (DC) requirement. The DC requirement in electrical engineering is satisfied by completing the senior capstone course sequence EE 129A, EE129B, and EE129C, or EE 129A in addition to a senior thesis.

Comprehensive Requirement

The senior comprehensive requirement for electrical engineering majors is in two parts: a project course and assessment options.

Project Course

Students must complete one capstone design course that spans three quarters, Electrical Engineering 129A/B/C, or complete a senior thesis. These senior-level courses encompass an in-depth project, including analysis, design, testing, and documentation, requiring students to call upon knowledge acquired throughout their undergraduate studies. Current course choices include the following:

Electrical Engineering

EE 129A, EE129B, and EE129C, Engineering Design Project I, II, and III (15 credits total)
EE 129A Engineering Design Project 1 and EE 195, Senior Thesis Project (15 credits total)

Outcomes Assessment Options

The Electrical Engineering Department requires an outcomes assessment. All students are required to complete an exit survey and meet with a faculty member for an exit interview. The specifics of the outcomes assessment may change from year to year; for this catalog year, students must complete one of the following options:

maintenance of a 2.5 grade point average in all required and elective courses for the major; or
senior thesis submission; or
portfolio review.

Portfolios must include the following:

project report(s);
a one- or two-page overview of the student’s contribution to the project(s);
a two-page essay concerning the relationship of engineering to society (specific topics will be provided by the Electrical Engineering Department).

The portfolios must be submitted electronically at least seven days before the end of the instruction in the quarter of graduation. Portfolios will not be returned.

Electrical Engineering Major Planners

The following are two sample academic plans for students to complete during their first two years as preparation for the electrical engineering major. These sample plans are intended for incoming first-year students. Transfer students should seek advisement as their plans will vary depending on their lower-division courses.

Starting EE101/L Winter Sophomore Year

Plan One

	Fall	Winter	Spring
1st (frosh)	MATH 19A	MATH 19B	MATH 23A
		PHYS 5A/L	PHYS 5C/N
	College core	College core	AMS 10
2nd (soph)	Fall	Winter	Spring
	MATH 23B	EE 101/L	EE 103/L
	CMPE 12/L	AMS 20	AMS 131
		EE 80T	PHYS 5B/M
3rd (junior)	Fall	Winter	Spring
	EE 145/L	EE 135/L	EE 171/L
	PHYS 5D	EE 151	CMPE 13/L*
	UD elective	CMPE 100/L
4th (senior)	Fall	Winter	Spring
	EE 129A	EE 129B	EE 129C
	UD elective (design)	UD elective	UD elective
		Gen ed	Gen ed

* Or the equivalent of CMPS 12A/L or 5J and 11

Starting EE 101/L Fall Junior Year

Plan Two

	Fall	Winter	Spring
1st (frosh)	MATH 3	MATH 19A	MATH 19B
	CMPS 5J*	EE 80T	CMPS 11*
	College core	College core	CMPE 12/L
2nd (soph)	Fall	Winter	Spring
	PHYS 5A/L	PHYS 5B/M	PHYS 5C/N
	AMS 10	AMS 20	MATH 23A
		AMS 131	CMPE 100/L
3rd (junior)	Fall	Winter	Spring
	EE 101/L	EE 135/L	EE 103/L
	PHYS 5D		EE 171/L
	MATH 23B	UD elective
4th (senior)	Fall	Winter	Spring
	EE 129A	EE 129B	EE 129C
	EE 145/L	EE 151	UD elective
	CMPE 121/L	Gen ed	UD elective

*Or the equivalent of CMPE 13/L or CMPS 12A/L

Transfer Students

Plan* for Transfer Students

	Fall	Winter	Spring
1st (junior)	EE 101/L	EE 135/L	EE 103/L
	PHYS 5D	CMPE 100/L	EE 171/L
		UD elective	AMS 131
2nd (senior)	Fall	Winter	Spring
	EE 129A	EE 129B	EE 129C
	EE 145/L	EE 151	UD elective
	UD elective	gen ed	UD elective

*This plan assumes that transfer students have completed most of their lower-division courses for the Electrical Engineering major prior to attending UCSC.

Additional information about this program can be found on the department’s website .

Electrical Engineering Minor

The electrical engineering minor provides a solid foundation in the core areas of electronic circuits and signals and systems, as well as the prerequisite material in mathematics and physics. Concentration of upper division electives in either of the major tracks constitutes substantial and focused work in the discipline of electrical engineering. This minor is particularly suitable for students with majors in Applied Physics or any School of Engineering major.

Electrical Engineering Minor Requirements

Requirements for the minor in electrical engineering are the following:

Mathematics

Mathematics 19A-B, Calculus for Science, Engineering, and Mathematics

Mathematics 23A, Multivariable Calculus

Applied Mathematics and Statistics 10, Mathematical Methods for Engineers I, and 20, Mathematical Methods for Engineers II; or Mathematics 21, Linear Algebra and Mathematics 24, Ordinary Differential Equations

Science

Physics 5A/L or 6A/L, Mechanics and 5C/N or 6C/N, Electricity and Magnetism

Core Requirements

Electrical Engineering

Electrical Engineering 101/L, Introduction to Electronic Circuits/Laboratory; and

Electrical Engineering 103, Signals and Systems; and

Electrical Engineering 171/L, Analog Electronics/Laboratory

Upper-Division Electives

At least 15 credits of upper-division or graduate electrical engineering courses, all chosen from one of the existing electrical engineering major tracks. All of the upper-division electives must come from the same track.

Graduate Programs

The Department of Electrical Engineering (EE) at the University of California, Santa Cruz (UCSC) offers master of science (M.S.) and doctor of philosophy (Ph.D.) degree programs and conducts research in the following core areas:

Electronic Circuits and Energy Systems
Photonic and Electronic Devices
Signals, Image Processing, and Communication Systems

For more information about the core areas and associated graduate courses, the department, and its faculty, please visit the Electrical Engineering Department website.

Students begin the program with the completion of courses in a core area of interest and then proceed to do research in their area of specialization. The M.S. degree can be completed in one year. M.S. students must complete a master’s thesis or pass the comprehensive examination (CE). A Ph.D. degree is usually completed in four to six years. Ph.D. students are required to take a preliminary exam within their first two years of study. After completing the course requirements, students must pass an oral qualifying exam and write a dissertation. Part-time study is possible for students working in industry while attending school.

Requirements for the Master’s Degree

Course Requirements

Thesis Track

Each student is required to take 45 credits, which must consist of:

At least 15 credits must be satisfied with courses from the core areas defined above.
At least 25 credits of the total 45 credits must be satisfied through EE graduate courses*.
At most 10 credits of independent study (EE 297, EE 299) are counted toward the EE course requirements.
At most 6 credits of EE 290: EE Graduate Seminar can be counted toward the EE course requirements.

Total credits required for the M.S. degree = 45.

*The 25 credits of EE graduate courses can include courses from the core areas only if they are EE graduate courses. Graduate courses offered by other departments and approved for the core areas are not counted as EE graduate courses.

Note that each graduate course satisfying the above requirements typically covers 5 credits.

Thesis

Completion of a master’s thesis is required for the master’s degree in this track. To fulfill this requirement, the student submits a written proposal to a faculty member, usually by the third academic quarter. By accepting the proposal, the faculty member becomes the thesis adviser. In consultation with the adviser, the student forms a master’s thesis reading committee with at least two additional faculty members, each of whom is provided a copy of the proposal. Upon completion of the thesis work, the student presents an expository talk on the thesis research, and the final thesis must be accepted by the review committee before the award of the Master of Science degree.

Comprehensive Examination (CE) Track

Each student is required to take 40 credits which must consist of:

At least 15 credits must be satisfied with courses from the core areas defined above.
At least 25 credits of the total 40 credits must be satisfied through EE graduate courses.*
At most 6 credits of EE 290, EE Graduate Seminar can be counted toward the EE course requirements.

Total credits required for the M.S. degree = 40.

Note that each graduate course satisfying the above requirements typically covers 5 credits. Independent study credits do not count toward the degree requirements for students in the comprehensive examination track.

Each student in the comprehensive examination track must pass the comprehensive examination. Students are allowed one retake of the examination.

The default track for all admitted students is the comprehensive examination track. Upon enrollment, students are assigned an academic faculty adviser. These advisers will assist in course selection and guidance on program options. Students indicate their core area of study on their admission application. Core areas of study are 1) electronic circuits and energy systems; 2) photonic and electronic devices; 3) signals, image processing, and communications systems. These core areas determine the broad focus of a student’s study (providing depth) while still providing the flexibility needed within the program to allow for breadth and the desire to meet each individual student’s goals for study.

Comprehensive Examination

At the end of each quarter students will have the opportunity to take the section of the comprehensive examination relevant to the courses offered that quarter that are relevant to one of the core areas as outlined above. This section of the comprehensive examination will focus fundamental material related to the subject matter of the course and will be offered, typically, on Friday of final’s week. The results of these examination sections, when integrated, will comprehensively test the student’s mastery of the curriculum. In order to pass the overall comprehensive examination, a student is required to pass at least three sections of the comprehensive examination in the proposed area of study. Student may attempt more than one section per quarter.

Note that Plan II (comprehensive examination track) is the default option and students can select Plan I (thesis track) only if they can find a faculty sponsor.

Requirements for the Ph.D. Degree

Course Requirements*

Each student is required to take 50 credits which must consist of:

At least 20 credits in one of the four core areas defined above.
At least 30 of the total 50 credits must be satisfied through EE graduate courses.
At most 10 credits of independent study (EE297, EE299) will be counted toward EE course requirements.

Total credits required for the PhD. degree = 50

The 30 credits of EE graduate courses can include courses from the core areas only if they are EE graduate courses. Graduate courses offered by other departments and approved for the core areas are not counted as EE graduate courses.

* For students already holding a Master of Science in Electrical Engineering (M.S.E.E.) or equivalent degree, at most 20 credits of transfer credit may be granted for equivalent coursework performed at the students’ M.S. granting institution. Credit transfer is subject to approval by the adviser and the electrical engineering graduate director.

Preliminary Examination

At the end of the first year, i.e., no later than the fall quarter in the following year after their entry, students admitted to the Ph.D. program must satisfy the requirements of the preliminary examination for entering the Ph.D. program. This examination is as follows:

Pass the comprehensive exam for the M.S. program in one of the core areas
Pass one additional section of the M.S. comprehensive examination, which is not part of the core area of the comprehensive examination

Qualifying Examination

This oral examination is a defense of the student’s thesis prospectus and a test of the student’s knowledge in advanced technical areas of relevance to the dissertation topic. This oral examination consists of a seminar-style talk before the examining committee, where the student describes the thesis prospectus, followed by questions from the committee on the substance of the talk and the areas of presumed expertise of the student. The examination, taken typically in the third year of Ph.D. study, is administered by a Ph.D. qualifying examination committee, consisting of at least four examiners. The composition of the committee must be approved by the graduate director and the dean of graduate studies whereupon the student and the committee are notified.

If the student does not pass the qualifying examination, the student may be asked to complete additional coursework, or other research-related work, before retaking the examination. The student may be allowed to retake the qualifying examination once, and the composition of the examining committee will remain the same for the second try. Students who fail the qualifying examination twice may be dismissed from the Ph.D. program.

Ph.D. students who have not advanced to candidacy by the end of the fourth year may be recommended for academic probation.

Dissertation and Advancement to Ph.D. Degree Candidacy

Advancement to candidacy requires that the student:

pass the preliminary examination;
complete all course requirements prior to taking the qualifying examination;
clear all Incompletes from the student’s record;
pass the qualifying examination; and
have an appointed Ph.D. dissertation reading committee.

After advancement to candidacy, work on the thesis research progresses until the dissertation is completed. The Ph.D. dissertation must show the results of in-depth research, be an original contribution of significant knowledge to the student’s field of study, and include material worthy of publication. The student is strongly advised to submit research work for publication in advance of completing the thesis so that the latter requirement is clearly satisfied. The Ph.D. thesis results are presented in both oral and written forms, the oral form being a dissertation defense (see below) and the written form being the Ph.D. dissertation. The student must submit his or her written Ph.D. dissertation to the dissertation reading committee at least one month before the defense.

Dissertation Defense

Each Ph.D. candidate submits the completed dissertation to a Ph.D. thesis reading committee at least one month prior to the dissertation defense. The appointment of the dissertation reading committee is made immediately after the qualifying examination and is necessary for advancing to candidacy. The candidate presents his or her research results in a public seminar sponsored by the dissertation supervisor. The seminar is followed by a defense of the dissertation to the reading committee (only), who will then decide whether the dissertation is acceptable or requires revision. Successful completion of the dissertation fulfills the final academic requirement for the Ph.D. degree.

Transfer Credit

For students already holding an M.S.E.E. or equivalent degree, at most 20 credits of transfer credit may be granted for equivalent coursework performed at the student’s M.S. granting institution. Credit transfer is subject to approval by the electrical engineering graduate director.

Students not already holding an M.S.E.E. degree, who are studying for the Ph.D. degree, may apply to be granted a M.S. degree when they have fulfilled all the M.S. degree requirements (including submission of an M.S. thesis or passing the comprehensive examination).

Review of Progress

Each year, the faculty reviews the progress of every student. Students not making adequate progress toward completion of degree requirements (see the Graduate Student Handbook for the policy on satisfactory academic progress) are subject to dismissal from the program. Students with academic deficiencies may be required to take additional courses. Full-time students with no academic deficiencies are normally expected to complete the degree course requirements at the rate of at least two courses each quarter. Full-time students must complete all course requirements within two years for the M.S. and three years for the Ph.D.

Students receiving two or more grades of U (unsatisfactory) or below B- in the School of Engineering courses are not making adequate progress and will be placed on academic probation for the following three quarters of registered enrollment. Withdrawing or taking a leave of absence does not count as enrollment. Part-time enrollment is counted as a half-quarter of enrollment.

If an electrical engineering graduate student fails a School of Engineering course while on probation, the Electrical Engineering Department may request the graduate dean to dismiss that student from the graduate program. If after being removed from probation, the student again fails a School of Engineering course, he or she will return immediately to academic probation.

Graduate students experiencing circumstances or difficulties that impact their academic performance should contact their adviser and the graduate director immediately. Students may appeal their dismissal to the graduate committee.

Materials Fee

Please see the section on fees under School of Engineering.

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Revised: 07/15/18