The concentration in Engineering equips students with a solid foundation for productive careers in engineering, to advance the knowledge base for future technologies, and to merge teaching, scholarship, and practice in the pursuit of solutions to human needs. The concentration offers one standard A.B. program, and seven ABET-accredited Sc.B. degree programs: biomedical, chemical and biochemical, civil through May 2016, computer, electrical, materials, and mechanical engineering. (Note: Students interested in structural engineering entering in the class of 2017 and beyond may pursue a Structures track within the ABET-accredited Mechanical Engineering program. The Civil track has been discontinued for all new students entering after Fall 2012.) Unaccredited ScB degree programs in Environmental engineering and Engineering Physics are also offered.

### Standard program for the A.B. degree

Candidates for the Bachelor of Arts (A.B.) degree with a concentration in Engineering must complete at least eight approved Engineering courses. The eight courses must include, and at least two 1000-level Engineering courses. Of these 1000-level courses, one must be a design or independent study course and the other an in-classroom experience. The set of Engineering courses must be chosen with careful attention to the pre-requisites of the 1000-level courses. Please note that not all engineering courses can be used to satisfy the engineering course requirement for the A.B. degree. For example, the following courses cannot be used to satisfy the engineering course requirement for the A.B. degree: ENGN 0020, ENGN 0090, ENGN 0900, ENGN 0930A, ENGN 0930C, ENGN 1010. For this reason, it is essential that the set of courses must be developed through consultation with the concentration advisor.

The A.B. program also requires preparation in Mathematics equivalent to MATH 0200 and APMA 0330, as well as at least one college-level science course from the general areas of chemistry, life sciences, physics, or geological sciences. Remedial courses, such as CHEM 0100, cannot be used to satisfy this requirement. A programming course is also recommended, but not required. The entire program is subject to approval by the Engineering AB Concentration Advisor and the Engineering Concentration Chair.

### Standard programs for the Sc.B. degree

Standard programs for the Sc.B. degree include seven ABET-accredited degree programs: biomedical engineering, and the follwing tracks in Engineering: chemical and biochemical, civil (through 2016), computer, electrical, materials, and mechanical engineering. In addition, unaccredited programs in Environmental Engineering, and Engineering and Physics, are offered. Students may also petition the concentration committee to pursue a 'special' engineering ScB degree of their own design. Students with a special concentration will receive an ScB degree in engineering, but a specific area of specialization will not be noted on their transcript. These programs are described in detail in the booklet, Engineering Undergraduate Programs (available online at

http://brown.edu/academics/engineering/undergraduate-study/program-guide).

Students without one year of secondary school level preparation in calculus should take MATH 0090, MATH 0100 in their first year. These students need to be familiar with multivariable calculus for ENGN 0510, which is often taken during the first semester of the sophomore year. Such students are urged to acquire the necessary math background through self-study, by taking a summer course, or by deferring until additional mathematics has been taken. In addition, all students must successfully complete a minimum of four courses in the humanities and/or social sciences.

The program of each student must be approved by the Engineering Concentration Committee, which issues more detailed guidelines and program suggestions.

### Chemical and Biochemical Track: ABET Accredited

1. Core Courses: | ||

ENGN 0030 | Introduction to Engineering | 1 |

ENGN 0040 | Dynamics and Vibrations | 1 |

ENGN 0410 | Materials Science | 1 |

ENGN 0510 | Electricity and Magnetism | 1 |

ENGN 0520 | Electrical Circuits and Signals | 1 |

ENGN 0720 | Thermodynamics | 1 |

ENGN 0810 | Fluid Mechanics | 1 |

CHEM 0330 | Equilibrium, Rate, and Structure | 1 |

MATH 0190 | Advanced Placement Calculus (Physics/Engineering) | 1 |

MATH 0200 | Intermediate Calculus (Physics/Engineering) | 1 |

APMA 0330 | Methods of Applied Mathematics I, II | 1 |

APMA 0340 | Methods of Applied Mathematics I, II | 1 |

BIOL 0200 | The Foundation of Living Systems | 1 |

2. An Upper-level Sequence: | ||

ENGN 1110 | Transport and Biotransport Processes | 1 |

ENGN 1120 | Chemical and Biochemical Reactor Design ^{1} | 1 |

ENGN 1130 | Phase and Chemical Equilibria ^{1} | 1 |

ENGN 1140 | Chemical Process Design | 1 |

ENGN 1710 | Heat and Mass Transfer | 1 |

CHEM 0350 | Organic Chemistry | 1 |

One additional elective Chemistry course with a significant laboratory component ^{2} | 1 | |

3. One approved, upper-level elective course in the natural sciences, to be selected from the four specific areas of chemistry, physics, life sciences, and materials science. ^{3} | 1 | |

Total Credits | 21 |

^{1} | Note: ENGN 1120 and 1130 are only offered in alternate years. |

^{2} | For example: CHEM 0360, CHEM 0400, CHEM 0500, CHEM 1170, etc. |

^{3} | For suggestions of acceptable courses, see the Concentration Advisor. |

### Civil Engineering Track (Available to students entering Brown on or before the Fall of 2012): ABET Accredited

**Important Announcement:** Civil Engineering as a standalone ABET accredited program will continue through May, 2016, and will be available to all students currently enrolled at Brown, including those who arrived as Freshmen in the Fall of 2012 (the class of 2016).

Students entering in the class of 2017 with interest in Structural Engineering will be able to concentrate in this discipline through a Structures track within the ABET-accredited Mechanical Engineering program.

Students interested in Environmental Problems and Planning are directed to the ABET-accredited program in Chemical and Biochemical Engineering.

1. Core courses: | ||

ENGN 0030 | Introduction to Engineering | 1 |

ENGN 0040 | Dynamics and Vibrations | 1 |

ENGN 0310 | Mechanics of Solids and Structures | 1 |

ENGN 0410 | Materials Science | 1 |

ENGN 0510 | Electricity and Magnetism | 1 |

ENGN 0520 | Electrical Circuits and Signals | 1 |

ENGN 0720 | Thermodynamics | 1 |

ENGN 0810 | Fluid Mechanics | 1 |

CHEM 0330 | Equilibrium, Rate, and Structure | 1 |

MATH 0190 | Advanced Placement Calculus (Physics/Engineering) | 1 |

MATH 0200 | Intermediate Calculus (Physics/Engineering) | 1 |

APMA 0330 | Methods of Applied Mathematics I, II | 1 |

APMA 0340 | Methods of Applied Mathematics I, II | 1 |

CSCI 0040 | Introduction to Scientific Computing and Problem Solving | 1 |

2. An advanced sciences course GEOL 1580 Quantitative Elements of Physical Hydrology ^{ } | 1 | |

3. Seven additional courses (six credits), depending on the area of interest: | 6 | |

3 a. For students interested in Structures, the following courses are required: | ||

Structural Analysis | ||

Water Supply and Wastewater Treatment | ||

Soil Mechanics and Principles of Foundation Engineering | ||

Design of Civil Engineering Structures | ||

Large Scale Engineering Design Project | ||

Plus one additional course from the following: | ||

Advanced Engineering Mechanics | ||

Computer Aided Visualization and Design | ||

Advanced Mechanics of Solids | ||

Advanced Fluid Mechanics | ||

3 b. For students interested in Environmental Problems and Planning, the following courses are required: ^{1} | ||

Phase and Chemical Equilibria | ||

Structural Analysis | ||

ENGN 1310 - Planning and Design of Systems | ||

Water Supply and Wastewater Treatment | ||

Soil Mechanics and Principles of Foundation Engineering | ||

Large Scale Engineering Design Project | ||

Total Credits | 21 |

^{1} | Attention is called to the following courses as particularly relevant technical electives: ENGN 1110, ENGN 1380 ENGN 1710, ENGN 1740, and ENGN 1860. |

### Computer Engineering Track: ABET Accredited

The concentration shares much of the core with the other engineering programs, but is structured to include more courses in computer science, and a somewhat different emphasis in mathematics.

1. Core Courses: | ||

ENGN 0030 | Introduction to Engineering | 1 |

ENGN 0040 | Dynamics and Vibrations | 1 |

ENGN 0510 | Electricity and Magnetism | 1 |

ENGN 0520 | Electrical Circuits and Signals | 1 |

Select one of the following Series: | 2 | |

Advanced Placement Calculus (Physics/Engineering) and Intermediate Calculus (Physics/Engineering) | ||

Advanced Placement Calculus and Intermediate Calculus | ||

APMA 0330 | Methods of Applied Mathematics I, II | 1 |

or APMA 0350 | Methods of Applied Mathematics I, II | |

APMA 1650 | Statistical Inference I | 1 |

CHEM 0330 | Equilibrium, Rate, and Structure | 1 |

or BIOL 0200 | The Foundation of Living Systems | |

or ENGN 0720 | Thermodynamics | |

or ENGN 0410 | Materials Science | |

Select one of the following series: | 2 | |

Introduction to Object-Oriented Programming and Computer Science and Introduction to Algorithms and Data Structures | ||

Computer Science: An Integrated Introduction and Computer Science: An Integrated Introduction | ||

Introduction to Scientific Computing and Problem Solving and Accelerated Introduction to Computer Science | ||

2. Advanced Core: | ||

MATH 0520 | Linear Algebra | 1 |

or CSCI 1570 | Design and Analysis of Algorithms | |

CSCI 0310 | Introduction to Computer Systems | 1 |

ENGN 1570 | Linear System Analysis | 1 |

ENGN 1630 | Digital Electronics Systems Design | 1 |

3. Specialty Courses: | 5 | |

3 a. For the Computer Specialty: | ||

Analysis and Design of Electronic Circuits | ||

Design of Computing Systems | ||

Select one of the following: | ||

Communication Systems | ||

Design and Implementation of Very Large-Scale Integrated Systems | ||

Embedded Microprocessor Design | ||

Design and Fabrication of Semiconductor Devices | ||

Digital Signal Processing | ||

Advanced Computer Architecture | ||

Nano-system Design | ||

Synthesis of VLSI Systems | ||

Digital Integrated Circuit Testing and Hardware Security | ||

Physical Design of Digital Integrated Circuits | ||

Reconfigurable Computing | ||

Verification, Test, Synthesis | ||

Other ENGN courses subject to approval | ||

Select two of the following: | ||

Introduction to Software Engineering | ||

Introduction to Computer Graphics | ||

Database Management Systems | ||

Distributed Computer Systems | ||

Applied Artificial Intelligence | ||

Building Intelligent Robots | ||

Design and Analysis of Algorithms | ||

Operating Systems | ||

Computer Networks | ||

Introduction to Programming Languages | ||

Introduction to Multiprocessor Synchronization | ||

Software System Design | ||

Other Computer Science courses subject to approval of the Engineering Concentration Committee. | ||

3 b. For the Multimedia Signal Processing Specialty: | ||

Introduction to Computational Linear Algebra | ||

Select two of the following: | ||

Communication Systems | ||

Image Understanding | ||

Medical Image Analysis | ||

Pattern Recognition and Machine Learning | ||

Digital Signal Processing | ||

Speech Processing | ||

Computer Vision | ||

Applied Stochastic Processes | ||

Video Processing | ||

Select one of the following: | ||

Introduction to Software Engineering | ||

Introduction to Computer Graphics | ||

Applied Artificial Intelligence | ||

Introduction to Computational Linguistics | ||

Design and Analysis of Algorithms | ||

Software System Design | ||

other CSCI courses subject to the approval of the Engineering Concentraiton Committee | ||

One additional course from the APMA, ENGN, and CSCI courses listed above. | ||

4. Capstone Course/Independent Study. ^{1} | 1 | |

Total Credits | 21 |

^{1} | Capstone Course/Independent Study: ENGN 1970/ENGN 1971, an independent study relevant to the specialty selected by the student. For the Computer Systems Specialty, may be used as the Capstone, but then cannot be counted for the ENGN choice above in 3a. The independent study project should provide students with exposure to current research topics. In order to assure satisfactory progress in their independent study, students enrolled will meet at least bi-weekly with their advisors and give two oral reports to the group during the semester. A final written report will also be required. In addition, students will meet as a group with faculty to share ideas and help nurture an environment of collaborative research. |

### Electrical Engineering Track: ABET Accredited

1. Core Courses: | ||

ENGN 0030 | Introduction to Engineering | 1 |

ENGN 0040 | Dynamics and Vibrations | 1 |

ENGN 0410 | Materials Science | 1 |

ENGN 0510 | Electricity and Magnetism | 1 |

ENGN 0520 | Electrical Circuits and Signals | 1 |

ENGN 0720 | Thermodynamics | 1 |

ENGN 0310 | Mechanics of Solids and Structures | 1 |

or ENGN 0810 | Fluid Mechanics | |

CHEM 0330 | Equilibrium, Rate, and Structure | 1 |

MATH 0190 | Advanced Placement Calculus (Physics/Engineering) | 1 |

MATH 0200 | Intermediate Calculus (Physics/Engineering) | 1 |

APMA 0330 | Methods of Applied Mathematics I, II | 1 |

APMA 0340 | Methods of Applied Mathematics I, II | 1 |

CSCI 0040 | Introduction to Scientific Computing and Problem Solving | 1 |

PHYS 0790 | Physics of Matter ^{1} | 1 |

2. Four courses from the following: | 4 | |

Linear System Analysis | ||

Analysis and Design of Electronic Circuits | ||

Digital Electronics Systems Design | ||

Projects in Engineering Design | ||

or ENGN 1650 | Embedded Microprocessor Design | |

or ENGN 1970 | Independent Studies in Engineering | |

or ENGN 1971 | Independent Study in Engineering | |

3. The student shall choose the other three courses to satisfy requirements of a selected specialty area: Bioelectrical Engineering, Communications Systems, Computer Engineering, Multimedia Signal Processing, Microelectronic Systems, or Solid State Electronics and Photonics. ^{2} | 3 | |

Total Credits | 21 |

^{1} | Or any other 1000-level Physics course |

^{2} | Students should consult the Engineering Undergraduate Programs booklet regarding specific details for each specialty area (available online at http://www.brown.edu/academics/engineering/content/program-guide). |

### Environmental Engineering Track

1. Core Courses: | ||

ENGN 0030 | Introduction to Engineering | 1 |

ENGN 0040 | Dynamics and Vibrations | 1 |

ENGN 0410 | Materials Science | 1 |

ENGN 0510 | Electricity and Magnetism | 1 |

ENGN 0720 | Thermodynamics | 1 |

ENGN 0810 | Fluid Mechanics | 1 |

CHEM 0330 | Equilibrium, Rate, and Structure | 1 |

ENVS 0490 | Environmental Science in a Changing World | 1 |

BIOL 0200 | The Foundation of Living Systems | 1 |

MATH 0190 | Advanced Placement Calculus (Physics/Engineering) | 1 |

MATH 0200 | Intermediate Calculus (Physics/Engineering) | 1 |

APMA 0330 | Methods of Applied Mathematics I, II | 1 |

2. Approved required course on Statistical methods ^{1} | 1 | |

3. Approved required Earth Science course ^{1} | 1 | |

4. Approved required Biology course related to environmental sciences ^{1} | 1 | |

5. Approved Engineering capstone design course (e.g. ENGN 1000 or equivalent) ^{1} | 1 | |

6. Five upper level courses (at least four must be ENGN) ^{1,2} | 5 | |

Total Credits | 21 |

^{1} | At least five courses from numbers 2-6 must be at the 1000 level or above. |

^{2} | Consult the School of Engineering Undergraduate Program booklet regarding specific details of specific focuses in the Environmental Engineering track: http://www.brown.edu/academics/engineering/sites/brown.edu.academics.engineering/files/uploads/EUP%20Year12_13FINAL.pdf |

### Materials Engineering Track: ABET Accredited

1. Core Courses: | ||

ENGN 0030 | Introduction to Engineering | 1 |

ENGN 0040 | Dynamics and Vibrations | 1 |

ENGN 0410 | Materials Science | 1 |

ENGN 0510 | Electricity and Magnetism | 1 |

ENGN 0520 | Electrical Circuits and Signals | 1 |

ENGN 0720 | Thermodynamics | 1 |

ENGN 0310 | Mechanics of Solids and Structures | 1 |

or ENGN 0810 | Fluid Mechanics | |

CHEM 0330 | Equilibrium, Rate, and Structure | 1 |

MATH 0190 | Advanced Placement Calculus (Physics/Engineering) | 1 |

MATH 0200 | Intermediate Calculus (Physics/Engineering) | 1 |

APMA 0330 | Methods of Applied Mathematics I, II | 1 |

APMA 0340 | Methods of Applied Mathematics I, II | 1 |

CSCI 0040 | Introduction to Scientific Computing and Problem Solving | 1 |

PHYS 0790 | Physics of Matter | 1 |

2. The student must take the following: | ||

ENGN 1410 | Physical Chemistry of Solids | 1 |

ENGN 1420 | Kinetics Processes in Materials Science and Engineering | 1 |

ENGN 1440 | Mechanical Properties of Materials | 1 |

ENGN 1000 | Projects in Engineering Design ^{1} | 1 |

3. Three of the following upper level materials courses: ^{2} | 3 | |

Properties and Processing of Electronic Materials | ||

Structure and Properties of Nonmetallic Materials | ||

Metallic Materials | ||

Biomaterials | ||

4. Upper level courses recommended to satisfy requirements of a selected specialty area, Mechanical Properties and Mechanical Processing, Electrical Properties and Applications of Materials to Solid State Electronics, Chemistry and Materials Processing and Synthesis, or Biomaterials, may be found in the Engineering Undergraduate Programs booklet available online at http://www.engin.brown.edu/undergrad/guide/index.html. | ||

Total Credits | 21 |

^{1} | Or, with permission, ENGN 1970 or ENGN 1971, containing an equivalent design experience relevant to Materials Engineering. |

^{2} | These courses are taken in either the junior or senior year. |

### Mechanical Engineering Track: ABET Accredited

Core Coureses: | ||

ENGN 0030 | Introduction to Engineering | 1 |

ENGN 0040 | Dynamics and Vibrations | 1 |

ENGN 0410 | Materials Science | 1 |

ENGN 0510 | Electricity and Magnetism | 1 |

ENGN 0520 | Electrical Circuits and Signals | 1 |

ENGN 0720 | Thermodynamics | 1 |

ENGN 0310 | Mechanics of Solids and Structures | 1 |

ENGN 0810 | Fluid Mechanics | 1 |

CHEM 0330 | Equilibrium, Rate, and Structure | 1 |

MATH 0190 | Advanced Placement Calculus (Physics/Engineering) | 1 |

MATH 0200 | Intermediate Calculus (Physics/Engineering) | 1 |

APMA 0330 | Methods of Applied Mathematics I, II | 1 |

APMA 0340 | Methods of Applied Mathematics I, II | 1 |

An approved computer science course | 1 | |

PHYS 0790 | Physics of Matter (recommended for all options except Biomechanics, for which it is BIOL 0800) | 1 |

Six upper level courses to satisfy requirements of a selected specialty area: Aerospace Applications, Biomechanics, Energy Conversion and Fluid and Thermal Systems, Engineering Mechanics, or Mechanical Systems: Dynamics, Materials and Design. ^{1} | 6 | |

Total Credits | 21 |

^{1} | Students should consult the Engineering Undergraduate Programs booklet regarding specific details for each specialty area (available online at http://www.engin.brown.edu/undergrad/guide/index.html). |