# Computer Science

**Departmental Office:** 450 Computer Science Building; 212-939-7000

http://www.cs.columbia.edu/

**Director of Undergraduate Studies:** Dr. Jae Woo Lee, 715 CEPSR; 212-939-7066; jae@cs.columbia.edu

**Departmental Advisers:**

For updated adviser information, see http://www.cs.columbia.edu/education/undergrad/advisors.

The majors in the Department of Computer Science provide students with the appropriate computer science background necessary for graduate study or a professional career. Computers impact nearly all areas of human endeavor. Therefore, the department also offers courses for students who do not plan a computer science major or concentration. The computer science majors offer maximum flexibility by providing students with a range of options for program specialization. The department offers four majors: computer science; information science; computer science-statistics; and computer science-mathematics, offered jointly with the Mathematics Department.

## Computer Science Major

Students study a common core of fundamental topics, supplemented by a track that identifies specific areas for deeper study. The foundations track prepares students for advanced work in fundamental, theoretical, and mathematical aspects of computing, including analysis of algorithms, scientific computing, and security. The systems track prepares students for immediate employment in the computer industry as well as advanced study in software engineering, operating systems, computer-aided digital design, computer architecture, programming languages, and user interfaces. The intelligent systems track provides specialization for the student interested in natural language processing and systems capable of exhibiting “human-like” intelligence. The applications track is for students interested in the implementation of interactive multimedia content for the Internet and wireless applications. The vision, graphics, interaction, and robotics track exposes students to computer vision, graphics, human-computer interaction, and robotics.

A combination track is available to students who wish to pursue an interdisciplinary course of study combining computer science and another field in the arts, humanities, mathematics, natural sciences, or social sciences. A student planning a combination track should be aware that one additional course is required to complete this option.

## Professors

- Alfred V. Aho
- Peter K. Allen
- Peter Belhumeur
- Steven M. Bellovin
- David Blei
- Michael J. Collins
- Steven K. Feiner
- Luis Gravano
- Julia Hirschberg
- Gail E. Kaiser
- John R. Kender
- Kathleen R. McKeown
- Vishal Misra
- Shree K. Nayar
- Jason Nieh
- Steven M. Nowick
- Kenneth A. Ross
- Henning G. Schulzrinne
- Salvatore J. Stolfo
- Mihalis Yannakakis

## Associate Professors

- Alexandr Andoni
- Luca Carloni
- Xi Chen
- Stephen A. Edwards
- Eitan Grinspun
- Tony Jebara
- Angelos D. Keromytis
- Martha Allen Kim
- Tal Malkin
- Itsik Pe'er
- Daniel S. Rubenstein
- Rocco A. Servedio
- Simha Sethumadhavan
- Junfeng Yang

## Assistant Professors

- Augustin Chaintreau
- Yaniv Erlich
- Roxana Geambasu
- Daniel Hsu
- Suman Jana
- Allison Lewko
- Omri Weinstein
- Eugene Wu
- Changxi Zheng

## Senior Lecturer in Discipline

- Adam Cannon

## Lecturer in Discipline

Paul Blaer

Jae Woo Lee

Ansaf Salleb-Aouissi

## Associated Faculty

- Shih-Fu Chang

Matei Ciocarlie - Edward G. Coffman Jr.
- Eleni Drinea
- Jonathan Gross (
*emeritus*) - Dana Pe'er
- Clifford Stein
- Steven H. Unger (
*emeritus*) - Vladimir Vapnik
- Henryk Wozniakowski (
*emeritus*) - Yechiam Yemini (
*emeritus*)

## Senior Research Scientists

- Arthur G. Werschulz
- Moti Yung

## Research Scientists

Owen Rambow

## Associated Research Scientists

- Giuseppe DiGuglielmo
- Mohit Gupta
- Nizar Habash

## Computer Science

**COMS W1001 Introduction to Information Science.** *3 points*.

Lect: 3.

Basic introduction to concepts and skills in Information Sciences: human-computer interfaces, representing information digitally, organizing and searching information on the World Wide Web, principles of algorithmic problem solving, introduction to database concepts, and introduction to programming in Python.

**COMS W1002 Computing in Context.** *4 points*.

Lect: 4.

Introduction to elementary computing concepts and Python programming with domain-specific applications. Shared CS concepts and Python programming lectures with track-specific sections. Track themes will vary but may include computing for the social sciences, computing for economics and finance, digital humanities, and more. Intended for nonmajors. Students may only receive credit for one of ENGI E1006 and COMS W1002.

Fall 2017: COMS W1002 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 1002 | 001/19718 | T Th 2:40pm - 3:55pm Room TBA |
Adam Cannon | 4 | 106/110 |

**COMS W1004 Introduction to Computer Science and Programming in Java.** *3 points*.

Lect: 3.

A general introduction to computer science for science and engineering students interested in majoring in computer science or engineering. Covers fundamental concepts of computer science, algorithmic problem-solving capabilities, and introductory Java programming skills. Assumes no prior programming background. Columbia University students may receive credit for only one of the following two courses: *1004* and *1005*.

Spring 2017: COMS W1004 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 1004 | 001/23742 | T Th 5:40pm - 6:55pm 501 Schermerhorn Hall |
Adam Cannon | 3 | 104/180 |

COMS 1004 | 002/29702 | T Th 4:10pm - 5:25pm 417 International Affairs Bldg |
Adam Cannon | 3 | 243/400 |

Fall 2017: COMS W1004 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

COMS 1004 | 001/74467 | T Th 4:10pm - 5:25pm Room TBA |
Adam Cannon | 3 | 230/275 |

**COMS W1005 Introduction to Computer Science and Programming in MATLAB.** *3 points*.

Lect: 3.

A general introduction to computer science concepts, algorithmic problem-solving capabilities, and programming skills in MATLAB. Assumes no prior programming background. Columbia University students may receive credit for only one of the following two courses: *1004* and *1005*.

**COMS W1007 Honors Introduction to Computer Science.** *3 points*.

Lect: 3.

Prerequisites: AP Computer Science with a grade of 4 or 5 or similar experience.

An honors-level introduction to computer science, intended primarily for students considering a major in computer science. Computer science as a science of abstraction. Creating models for reasoning about and solving problems. The basic elements of computers and computer programs. Implementing abstractions using data structures and algorithms. Taught in Java.

Fall 2017: COMS W1007 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 1007 | 001/73954 | T Th 1:10pm - 2:25pm Room TBA |
John Kender | 3 | 10/70 |

**COMS W1404 Emerging Scholars Program Seminar.** *1 point*.

Sem: 1.

Prerequisites: Enrollment with instructor permission only.

Corequisites: COMS W1004,COMS W1007,ENGI E1006

Peer-led weekly seminar intended for first and second year undergraduates considering a major in Computer Science. Pass/fail only.

Spring 2017: COMS W1404 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 1404 | 001/29685 | |
Adam Cannon | 1 | 38/50 |

Fall 2017: COMS W1404 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

COMS 1404 | 001/28157 | |
Adam Cannon | 1 | 5/50 |

**COMS W3101 Programming Languages.** *1 point*.

Lect: 1.

Prerequisites: Fluency in at least one programming language.

Introduction to a programming language. Each section is devoted to a specific language. Intended only for those who are already fluent in at least one programming language. Sections may meet for one hour per week for the whole term, for three hours per week for the first third of the term, or for two hours per week for the first six weeks. May be repeated for credit if different languages are involved.

Spring 2017: COMS W3101 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 3101 | 001/18198 | Th 12:10pm - 2:00pm 750 Schapiro Cepser |
Lawrence Stead | 1 | 49/60 |

COMS 3101 | 002/25550 | F 12:10pm - 2:00pm 417 Mathematics Building |
Yuan Kang | 1 | 43/60 |

COMS 3101 | 003/17204 | F 2:10pm - 4:00pm 633 Seeley W. Mudd Building |
Timothy Paine | 1 | 45/60 |

COMS 3101 | 004/12851 | F 10:10am - 12:00pm 417 Mathematics Building |
Robert Coyne | 1 | 15/60 |

**COMS W3102 Development Technologies.** *1-2 points*.

Lect: 2. Lab: 0-2.

Prerequisites: Fluency in at least one programming language.

Introduction to software development tools and environments. Each section devoted to a specific tool or environment. One-point sections meet for two hours each week for half a semester, and two point sections include an additional two-hour lab.

Spring 2017: COMS W3102 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 3102 | 001/27848 | T 6:10pm - 8:00pm 417 Mathematics Building |
Robert Lane | 1-2 | 50/60 |

**COMS W3134 Data Structures in Java.** *3 points*.

Lect: 3.

Prerequisites: knowledge of Java.

Data types and structures: arrays, stacks, singly and doubly linked lists, queues, trees, sets, and graphs. Programming techniques for processing such structures: sorting and searching, hashing, garbage collection. Storage management. Rudiments of the analysis of algorithms. Taught in Java. Note: Due to significant overlap, students may receive credit for only one of the following three courses: *COMS W3134*, *W3136*, or *W3137*.

Spring 2017: COMS W3134 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 3134 | 001/21431 | M W 5:40pm - 6:55pm 501 Schermerhorn Hall |
Paul Blaer | 3 | 142/180 |

COMS 3134 | 002/73323 | M W 1:10pm - 2:25pm 501 Northwest Corner |
Paul Blaer | 3 | 132/160 |

Fall 2017: COMS W3134 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

COMS 3134 | 001/72834 | M W 5:40pm - 6:55pm Room TBA |
Paul Blaer | 3 | 252/400 |

**COMS W3136 Data Structures with C/C++.** *4 points*.

Lect: 3.

A second programming course intended for nonmajors with at least one semester of introductory programming experience. Basic elements of programming in C and C++, array-based data structures, heaps, linked lists, C programming in UNIX environment, object-oriented programming in C++, trees, graphs, generic programming, hash tables. Due to significant overlap, students may only receive credit for either COMS W3134, W3136, or W3137.

Fall 2017: COMS W3136 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 3136 | 001/22037 | T Th 5:40pm - 6:55pm Room TBA |
Timothy Paine | 4 | 58/110 |

**COMS W3137 Honors Data Structures and Algorithms.** *4 points*.

Lect: 3.

Corequisites: COMS W3203

An honors introduction to data types and structures: arrays, stacks, singly and doubly linked lists, queues, trees, sets, and graphs. Programming techniques for processing such structures: sorting and searching, hashing, garbage collection. Storage management. Design and analysis of algorithms. Taught in Java. Note: Due to significant overlap, students may receive credit for only one of the following three courses: *COMS W3134*, *W3136*, or *W3137*.

Spring 2017: COMS W3137 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 3137 | 001/19687 | M W 1:10pm - 2:25pm 486 Computer Science Bldg |
Daniel Bauer | 4 | 35/60 |

**COMS W3157 Advanced Programming.** *4 points*.

Lect: 4.

Prerequisites: Two terms of programming experience. Data Structures strongly recommended.

C programming language and Unix systems programming. Also covers Git, Make, TCP/IP networking basics, C++ fundamentals.

Spring 2017: COMS W3157 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 3157 | 001/17050 | T Th 4:10pm - 5:25pm 301 Pupin Laboratories |
Jae Lee | 4 | 213/250 |

Fall 2017: COMS W3157 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

COMS 3157 | 001/28865 | T Th 11:40am - 12:55pm Room TBA |
Jae Lee | 4 | 272/274 |

COMS 3157 | 002/20796 | T Th 11:40am - 12:55pm Room TBA |
Jae Lee | 4 | 0/180 |

**COMS W3203 Discrete Mathematics: Introduction to Combinatorics and Graph Theory.** *3 points*.

Lect: 3.

Prerequisites: Any introductory course in computer programming.

Logic and formal proofs, sequences and summation, mathematical induction, binomial coefficients, elements of finite probability, recurrence relations, equivalence relations and partial orderings, and topics in graph theory (including isomorphism, traversability, planarity, and colorings).

Spring 2017: COMS W3203 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 3203 | 001/63319 | M W 10:10am - 11:25am 501 Schermerhorn Hall |
Ansaf Salleb-Aouissi | 3 | 141/150 |

COMS 3203 | 002/29040 | M W 11:40am - 12:55pm 486 Computer Science Bldg |
Jessica Ouyang | 3 | 51/60 |

Fall 2017: COMS W3203 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

COMS 3203 | 001/62348 | T Th 10:10am - 11:25am Room TBA |
Ansaf Salleb-Aouissi | 3 | 101/100 |

COMS 3203 | 002/20951 | T Th 11:40am - 12:55pm Room TBA |
Ansaf Salleb-Aouissi | 3 | 100/100 |

**COMS W3210 Scientific Computation.** *3 points*.

Lect: 3.

Prerequisites: Two terms of calculus.

Introduction to computation on digital computers. Design and analysis of numerical algorithms. Numerical solution of equations, integration, recurrences, chaos, differential equations. Introduction to Monte Carlo methods. Properties of floating point arithmetic. Applications to weather prediction, computational finance, computational science, and computational engineering.

**COMS W3251 Computational Linear Algebra.** *3 points*.

Lect: 3.

Prerequisites: Two terms of calculus.

Computational linear algebra, solution of linear systems, sparse linear systems, least squares, eigenvalue problems, and numerical solution of other multivariate problems as time permits.

**COMS W3261 Computer Science Theory.** *3 points*.

Lect: 3.

Corequisites: COMS W3134,COMS W3136,COMS W3137

Regular languages: deterministic and non-deterministic finite automata, regular expressions. Context-free languages: context-free grammars, push-down automata. Turing machines, the Chomsky hierarchy, and the Church-Turing thesis. Introduction to Complexity Theory and NP-Completeness.

Spring 2017: COMS W3261 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 3261 | 001/75261 | T Th 10:10am - 11:25am 207 Mathematics Building |
Tal Malkin | 3 | 122/130 |

COMS 3261 | 002/65526 | T Th 11:40am - 12:55pm 428 Pupin Laboratories |
Tal Malkin | 3 | 121/130 |

Fall 2017: COMS W3261 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

COMS 3261 | 001/22794 | M W 1:10pm - 2:25pm Room TBA |
Alfred Aho | 3 | 131/130 |

**COMS W3410 Computers and Society.** *3 points*.

Lect: 3.

Broader impact of computers. Social networks and privacy. Employment, intellectual property, and the media. Science and engineering ethics. Suitable for nonmajors.

**COMS W3902 Undergraduate Thesis.** *1-6 points*.

Prerequisites: Agreement by a faculty member to serve as thesis adviser.

An independent theoretical or experimental investigation by an undergraduate major of an appropriate problem in computer science carried out under the supervision of a faculty member. A formal written report is mandatory and an oral presentation may also be required. May be taken over more than one term, in which case the grade is deferred until all 6 points have been completed. Consult the department for section assignment.

Spring 2017: COMS W3902 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 3902 | 070/93443 | |
Alexandr Andoni | 1-6 | 0 |

COMS 3902 | 071/93444 | |
Suman Jana | 1-6 | 0 |

**COMS W3995 Special Topics in Computer Science.** *3 points*.

Lect: 3.

Prerequisites: the instructor's permission.

Consult the department for section assignment. Special topics arranged as the need and availability arise. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit.

**COMS W3998 Undergraduate Projects in Computer Science.** *1-3 points*.

Prerequisites: Approval by a faculty member who agrees to supervise the work.

Independent project involving laboratory work, computer programming, analytical investigation, or engineering design. May be repeated for credit, but not for a total of more than 3 points of degree credit. Consult the department for section assignment.

**COMS W4111 Introduction to Databases.** *3 points*.

Lect: 3.

Prerequisites: fluency in Java; or the instructor's permission.

The fundamentals of database design and application development using databases: entity-relationship modeling, logical design of relational databases, relational data definition and manipulation languages, SQL, XML, query processing, physical database tuning, transaction processing, security. Programming projects are required.

Spring 2017: COMS W4111 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4111 | 001/77619 | T Th 2:40pm - 3:55pm 501 Northwest Corner |
Luis Gravano | 3 | 150/155 |

COMS 4111 | 002/88699 | W 4:10pm - 6:40pm 517 Hamilton Hall |
Alexandros Biliris | 3 | 78/80 |

Fall 2017: COMS W4111 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

COMS 4111 | 001/15421 | W 4:10pm - 6:40pm Room TBA |
Alexandros Biliris | 3 | 76/80 |

COMS 4111 | 002/85942 | M W 4:10pm - 6:40pm Room TBA |
Alexandros Biliris | 3 | 3/80 |

**COMS W4112 Database System Implementation.** *3 points*.

Lect: 2.5.

Prerequisites: fluency in Java or C++. CSEE W3827 is recommended.

The principles and practice of building large-scale database management systems. Storage methods and indexing, query processing and optimization, materialized views, transaction processing and recovery, object-relational databases, parallel and distributed databases, performance considerations. Programming projects are required.

Spring 2017: COMS W4112 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4112 | 001/75283 | T 1:00pm - 3:40pm 602 Hamilton Hall |
Alexandros Biliris | 3 | 27/80 |

**COMS W4113 Fundamentals of Large-Scale Distributed Systems.** *3 points*.

Lect: 3.

Prerequisites: good working knowledge of C and C++.

Design and implementation of large-scale distributed and cloud systems. Abstractions, design and implementation techniques that enable the building of fast, scalable, fault-tolerant distributed systems. Topics include distributed communication models (e.g., sockets, remote procedure calls, distributed shared memory), distributed synchronization (clock synchronization, logical clocks, distributed mutex), distributed file systems, replication, consistency models, fault tolerance, distributed transactions, agreement and commitment, Paxos-based consensus, MapReduce infrastructures, scalable distributed databases. Combines concepts and algorithms with descriptions of real-world implementations at Google, Facebook, Yahoo, Microsoft, LinkedIn, etc.

Fall 2017: COMS W4113 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4113 | 001/75588 | M W 1:10pm - 2:25pm Room TBA |
Roxana Geambasu | 3 | 70/80 |

**COMS W4115 Programming Languages and Translators.** *3 points*.

Lect: 3.

Prerequisites: equivalent, or the instructor's permission.

Modern programming languages and compiler design. Imperative, object-oriented, declarative, functional, and scripting languages. Language syntax, control structures, data types, procedures and parameters, binding, scope, run-time organization, and exception handling. Implementation of language translation tools including compilers and interpreters. Lexical, syntactic and semantic analysis; code generation; introduction to code optimization. Teams implement a language and its compiler.

Spring 2017: COMS W4115 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4115 | 001/19108 | M W 2:40pm - 3:55pm 207 Mathematics Building |
Stephen Edwards | 3 | 131/120 |

Fall 2017: COMS W4115 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

COMS 4115 | 001/16828 | M W 4:10pm - 5:25pm Room TBA |
Stephen Edwards | 3 | 102/150 |

**COMS W4117 Compilers and Interpreters.** *3 points*.

Lect: 3.**Not offered during 2017-18 academic year.**

Prerequisites: instructor's permission.

Continuation of *COMS W4115*, with broader and deeper investigation into the design and implementation of contemporary language translators, be they compilers or interpreters. Topics include parsing, semantic analysis, code generation and optimization, run-time environments, and compiler-compilers. A programming project is required.

**COMS W4118 Operating Systems I.** *3 points*.

Lect: 3.

Prerequisites: knowledge of C and programming tools as covered in COMS W3136, W3157, or W3101, or the instructor's permission.

Design and implementation of operating systems. Topics include process management, process synchronization and interprocess communication, memory management, virtual memory, interrupt handling, processor scheduling, device management, I/O, and file systems. Case study of the UNIX operating system. A programming project is required.

Spring 2017: COMS W4118 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4118 | 001/23985 | T Th 11:40am - 12:55pm 501 Northwest Corner |
Jae Lee | 3 | 113/150 |

Fall 2017: COMS W4118 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

COMS 4118 | 001/61957 | T Th 1:10pm - 2:25pm Room TBA |
Jason Nieh | 3 | 70/110 |

**COMS W4121 Computer Systems for Data Science.** *3 points*.

Prerequisites: background in Computer System Organization and good working knowledge of C/C++

Corequisites: *CSOR 4246* (Algorithms for Data Science), *STATS W4105* (Probability), or equivalent as approved by faculty advisor.

An introduction to computer architecture and distributed systems with an emphasis on warehouse scale computing systems. Topics will include fundamental tradeoffs in computer systems, hardware and software techniques for exploiting instruction-level parallelism, data-level parallelism and task level parallelism, scheduling, caching, prefetching, network and memory architecture, latency and throughput optimizations, specialization, and an introduction to programming data center computers.

Spring 2017: COMS W4121 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4121 | 001/15051 | W 6:10pm - 8:55pm 428 Pupin Laboratories |
Sambit Sahu, Eugene Wu | 3 | 124/130 |

**COMS W4130 Principles and Practice of Parallel Programming.** *3 points*.

Lect: 2.5.

Prerequisites: equivalent. Experience in Java, basic understanding of analysis of algorithms.

Principles of parallel software design. Topics include task and data decomposition, load-balancing, reasoning about correctness, determinacy, safety, and deadlock-freedom. Application of techniques through semester-long design project implementing performant, parallel application in a modern parallel programming language.

**COMS W4156 Advanced Software Engineering.** *3 points*.

Lect: 3.

Prerequisites: equivalent.

Software lifecycle from the viewpoint of designing and implementing N-tier applications (typically utilizing web browser, web server, application server, database). Major emphasis on quality assurance (code inspection, unit and integration testing, security and stress testing). Centers on a student-designed team project that leverages component services (e.g., transactions, resource pooling, publish/subscribe) for an interactive multi-user application such as a simple game.

Fall 2017: COMS W4156 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4156 | 001/15547 | T Th 10:10am - 11:25am Room TBA |
Gail Kaiser | 3 | 54/130 |

**COMS W4160 Computer Graphics.** *3 points*.

Lect: 3.

Prerequisites: COMS W4156 is recommended. Strong programming background and some mathematical familiarity including linear algebra is required.

Introduction to computer graphics. Topics include 3D viewing and projections, geometric modeling using spline curves, graphics systems such as OpenGL, lighting and shading, and global illumination. Significant implementation is required: the final project involves writing an interactive 3D video game in OpenGL.

Spring 2017: COMS W4160 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4160 | 001/68716 | T Th 11:40am - 12:55pm 1127 Seeley W. Mudd Building |
Changxi Zheng | 3 | 52/60 |

**COMS W4162 Advanced Computer Graphics.** *3 points*.

Lect: 3.

Prerequisites: equivalent, or the instructor's permission.

A second course in computer graphics covering more advanced topics including image and signal processing, geometric modeling with meshes, advanced image synthesis including ray tracing and global illumination, and other topics as time permits. Emphasis will be placed both on implementation of systems and important mathematical and geometric concepts such as Fourier analysis, mesh algorithms and subdivision, and Monte Carlo sampling for rendering. Note: Course will be taught every two years.

**COMS W4167 Computer Animation.** *3 points*.

Lect: 3.

Prerequisites: Multivariable calculus, linear algebra, C++ programming proficiency. COMS W4156 recommended.

Theory and practice of physics-based animation algorithms, including animated clothing, hair, smoke, water, collisions, impact, and kitchen sinks. Topics covered: Integration of ordinary differential equations, formulation of physical models, treatment of discontinuities including collisions/contact, animation control, constrained Lagrangian Mechanics, friction/dissipation, continuum mechanics, finite elements, rigid bodies, thin shells, discretization of Navier-Stokes equations. General education requirement: quantitative and deductive reasoning (QUA).

**COMS W4170 User Interface Design.** *3 points*.

Lect: 3.

Introduction to the theory and practice of computer user interface design, emphasizing the software design of graphical user interfaces. Topics include basic interaction devices and techniques, human factors, interaction styles, dialogue design, and software infrastructure. Design and programming projects are required.

Fall 2017: COMS W4170 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4170 | 001/76984 | T Th 1:10pm - 2:25pm Room TBA |
Steven Feiner | 3 | 0/65 |

**COMS W4172 3D User Interfaces and Augmented Reality.** *3 points*.

Lect: 3.

Prerequisites: instructor's permission.

Design, development, and evaluation of 3D user interfaces. Interaction techniques and metaphors, from desktop to immersive. Selection and manipulation. Travel and navigation. Symbolic, menu, gestural, and multimodal interaction. Dialogue design. 3D software support. 3D interaction devices and displays. Virtual and augmented reality. Tangible user interfaces. Review of relevant 3D math.

Spring 2017: COMS W4172 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4172 | 001/10474 | T Th 1:10pm - 2:25pm 486 Computer Science Bldg |
Steven Feiner | 3 | 46/50 |

**COMS W4180 Network Security.** *3 points*.

Lect: 3.

Prerequisites: instructor's permission.

Introduction to network security concepts and mechanisms. Foundations of network security and an in-depth review of commonly-used security mechanisms and techniques, security threats and network-based attacks, applications of cryptography, authentication, access control, intrusion detection and response, security protocols (IPsec, SSL, Kerberos), denial of service, viruses and worms, software vulnerabilities, web security, wireless security, and privacy.

Spring 2017: COMS W4180 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4180 | 001/73315 | F 10:10am - 12:40pm 486 Computer Science Bldg |
Debra Cook | 3 | 31/40 |

**COMS W4187 Security Architecture and Engineering.** *3 points*.

Lect: 3.

Prerequisites: CSEE W4119 recommended.

Secure programming. Cryptograhic engineering and key handling. Access controls. Tradeoffs in security design. Design for security.

Fall 2017: COMS W4187 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4187 | 001/68791 | M W 2:40pm - 3:55pm Room TBA |
Suman Jana | 3 | 42/70 |

**COMS W4203 Graph Theory.** *3 points*.

Lect: 3.

General introduction to graph theory. Isomorphism testing, algebraic specification, symmetries, spanning trees, traversability, planarity, drawings on higher-order surfaces, colorings, extremal graphs, random graphs, graphical measurement, directed graphs, Burnside-Polya counting, voltage graph theory.

**COMS W4236 Introduction to Computational Complexity.** *3 points*.

Lect: 3.

Develops a quantitative theory of the computational difficulty of problems in terms of the resources (e.g. time, space) needed to solve them. Classification of problems into complexity classes, reductions, and completeness. Power and limitations of different modes of computation such as nondeterminism, randomization, interaction, and parallelism.

**COMS W4241 Numerical Algorithms and Complexity.** *3 points*.

Lect: 3.

Prerequisites: Knowledge of a programming language. Some knowledge of scientific computation is desirable.

Modern theory and practice of computation on digital computers. Introduction to concepts of computational complexity. Design and analysis of numerical algorithms. Applications to computational finance, computational science, and computational engineering.

**COMS W4242 Numerical Algorithms and Their Complexity II.** *3 points*.

Prerequisites: *COMS W4241*.

A continuation of *COMS W4241.*

**COMS W4252 Introduction to Computational Learning Theory.** *3 points*.

Lect: 3.

Prerequisites: instructor's permission.

Possibilities and limitations of performing learning by computational agents. Topics include computational models of learning, polynomial time learnability, learning from examples and learning from queries to oracles. Computational and statistical limitations of learning. Applications to Boolean functions, geometric functions, automata.

**COMS W4261 Introduction to Cryptography.** *3 points*.

Lect: 2.5.

Prerequisites: Comfort with basic discrete math and probability. Recommended: COMS W3261 or CSOR W4231.

An introduction to modern cryptography, focusing on the complexity-theoretic foundations of secure computation and communication in adversarial environments; a rigorous approach, based on precise definitions and provably secure protocols. Topics include private and public key encryption schemes, digital signatures, authentication, pseudorandom generators and functions, one-way functions, trapdoor functions, number theory and computational hardness, identification and zero knowledge protocols.

**COMS W4281 Introduction to Quantum Computing.** *3 points*.

Lect: 3.

Prerequisites: Knowledge of linear algebra. Prior knowledge of quantum mechanics is not required although helpful.

Introduction to quantum computing. Shor's factoring algorithm, Grover's database search algorithm, the quantum summation algorithm. Relationship between classical and quantum computing. Potential power of quantum computers.

**COMS W4444 Programming and Problem Solving.** *3 points*.

Lect: 3.

Hands-on introduction to solving open-ended computational problems. Emphasis on creativity, cooperation, and collaboration. Projects spanning a variety of areas within computer science, typically requiring the development of computer programs. Generalization of solutions to broader problems, and specialization of complex problems to make them manageable. Team-oriented projects, student presentations, and in-class participation required.

Fall 2017: COMS W4444 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4444 | 001/60172 | M W 1:10pm - 2:25pm Room TBA |
Kenneth Ross | 3 | 0/42 |

**COMS W4460 Principles of Innovation and Entrepreneurship.** *3 points*.

Lect: 3.

Prerequisites: equivalent, or the instructor's permission.

Team project-centered course focused on principles of planning, creating, and growing a technology venture. Topics include identifying and analyzing opportunities created by technology paradigm shifts, designing innovative products, protecting intellectual property, engineering innovative business models.

Fall 2017: COMS W4460 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4460 | 001/72803 | F 10:10am - 12:40pm Room TBA |
William Reinisch | 3 | 0/32 |

**COMS W4560 Introduction to Computer Applications in Health Care and Biomedicine.** *3 points*.

Lect: 3.

Prerequisites: Experience with computers and a passing familiarity with medicine and biology. Undergraduates in their senior or junior years may take this course only if they have adequate background in mathematics and receive the instructor's permission.

An overview of the field of biomedical informatics, combining perspectives from medicine, computer science and social science. Use of computers and information in health care and the biomedical sciences, covering specific applications and general methods, current issues, capabilities and limitations of biomedical informatics. Biomedical Informatics studies the organization of medical information, the effective management of information using computer technology, and the impact of such technology on medical research, education, and patient care. The field explores techniques for assessing current information practices, determining the information needs of health care providers and patients, developing interventions using computer technology, and evaluating the impact of those interventions.

**COMS W4701 Artificial Intelligence.** *3 points*.

Lect: 3.

Overview of Artificial Intelligence (AI) covering Search, Problem Solving, Game Playing, Knowledge Representation, Propositional logic, Prediate Calculus (first order logic), Reasoning under certainty, Machine Learning, and other topics in AI (including vision, natural language processing, and robotics) as time permits.

Spring 2017: COMS W4701 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4701 | 001/77544 | M W 1:10pm - 2:25pm 309 Havemeyer Hall |
Ansaf Salleb-Aouissi | 3 | 229/300 |

Fall 2017: COMS W4701 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

COMS 4701 | 001/13442 | M W 10:10am - 11:25am Room TBA |
Daniel Bauer | 3 | 164/250 |

**COMS W4705 Natural Language Processing.** *3 points*.

Lect: 3.

Prerequisites: equivalent, or instructor's permission.

Computational approaches to natural language generation and understanding. Recommended preparation: some previous or concurrent exposure to AI or Machine Learning. Topics include information extraction, summarization, machine translation, dialogue systems, and emotional speech. Particular attention is given to robust techniques that can handle understanding and generation for the large amounts of text on the Web or in other large corpora. Programming exercises in several of these areas.

Fall 2017: COMS W4705 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4705 | 001/72501 | T Th 2:40pm - 3:55pm Room TBA |
Kathleen McKeown | 3 | 93/150 |

**COMS W4706 Spoken Language Processing.** *3 points*.

Lect: 3.

Prerequisites: instructor's permission.

Computational approaches to speech generation and understanding. Topics include speech recognition and understanding, speech analysis for computational linguistics research, and speech synthesis. Speech applications including dialogue systems, data mining, summarization, and translation. Exercises involve data analysis and building a small text-to-speech system.

**COMS W4731 Computer Vision.** *3 points*.

Lect: 3.

Prerequisites: Fundamentals of calculus, linear algebra, and C programming. Students without any of these prerequisites are advised to contact the instructor prior to taking the course.

Introductory course in computer vision. Topics include image formation and optics, image sensing, binary images, image processing and filtering, edge extraction and boundary detection, region growing and segmentation, pattern classification methods, brightness and reflectance, shape from shading and photometric stereo, texture, binocular stereo, optical flow and motion, 2D and 3D object representation, object recognition, vision systems and applications.

Fall 2017: COMS W4731 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4731 | 001/19314 | T Th 10:10am - 11:25am Room TBA |
Shree Nayar | 3 | 62/100 |

**COMS W4733 Computational Aspects of Robotics.** *3 points*.

Introduction to robotics from a computer science perspective. Topics include coordinate frames and kinematics, computer architectures for robotics, integration and use of sensors, world modeling systems, design and use of robotic programming languages, and applications of artificial intelligence for planning, assembly, and manipulation.

Fall 2017: COMS W4733 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4733 | 001/18851 | T Th 11:40am - 12:55pm Room TBA |
Peter Allen | 3 | 55/75 |

**COMS W4735 Visual Interfaces to Computers.** *3 points*.

Lect: 3.

Visual input as data and for control of computer systems. Survey and analysis of architecture, algorithms, and underlying assumptions of commercial and research systems that recognize and interpret human gestures, analyze imagery such as fingerprint or iris patterns, generate natural language descriptions of medical or map imagery. Explores foundations in human psychophysics, cognitive science, and artificial intelligence.

**COMS W4737 Biometrics.** *3 points*.

Lect: 3.

Prerequisites: Background at the sophomore level in computer science, engineering, or like discipline.

In this course we will explore the latest advances in biometrics as well as the machine learning techniques behind them. Students will learn how these technologies work and how they are sometimes defeated. Grading will be based on homework assignments and a final project. There will be no midterm or final exam. This course shares lectures with *COMS E6737*. Students taking *COMS E6737* are required to complete additional homework problems and undertake a more rigorous final project. Students will only be allowed to earn credit for *COMS W4737* or *COMS E6737* and not both.

**COMS W4771 Machine Learning.** *3 points*.

Lect: 3.

Prerequisites: Any introductory course in linear algebra and any introductory course in statistics are both required. Highly recommended: COMS W4701 or knowledge of Artificial Intelligence.

Topics from generative and discriminative machine learning including least squares methods, support vector machines, kernel methods, neural networks, Gaussian distributions, linear classification, linear regression, maximum likelihood, exponential family distributions, Bayesian networks, Bayesian inference, mixture models, the EM algorithm, graphical models and hidden Markov models. Algorithms implemented in MATLAB.

Spring 2017: COMS W4771 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4771 | 001/65943 | M W 1:10pm - 2:25pm 833 Seeley W. Mudd Building |
Itshack Pe'er | 3 | 75/90 |

Fall 2017: COMS W4771 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

COMS 4771 | 001/76261 | M W 2:40pm - 3:55pm Room TBA |
James McInerney | 3 | 51/130 |

**COMS W4772 Advanced Machine Learning.** *3 points*.

Lect: 3.

Prerequisites: instructor's permission; knowledge of linear algebra & introductory probability or statistics is required.

An exploration of advanced machine learning tools for perception and behavior learning. How can machines perceive, learn from, and classify human activity computationally? Topics include appearance-based models, principal and independent components analysis, dimensionality reduction, kernel methods, manifold learning, latent models, regression, classification, Bayesian methods, maximum entropy methods, real-time tracking, extended Kalman filters, time series prediction, hidden Markov models, factorial HMMS, input-output HMMs, Markov random fields, variational methods, dynamic Bayesian networks, and Gaussian/Dirichlet processes. Links to cognitive science.

Spring 2017: COMS W4772 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4772 | 001/95953 | F 1:10pm - 3:40pm 203 Mathematics Building |
Julie Novak, Lior Horesh | 3 | 73/60 |

**COMS W4776 Machine Learning for Data Science.** *3 points*.

Lect.: 3

Prerequisites: equivalent.

Introduction to machine learning, emphasis on data science. Topics include least square methods, Gaussian distributions, linear classification, linear regression, maximum likelihood, exponential family distributions, Bayesian networks, Bayesian inference, mixture models, the EM algorithm, graphical models, hidden Markov models, support vector machines kernel methods. Emphasizes methods and problems relevant to big data. Students may not receive credit for both COMS W4771 and W4776.

**COMS W4901 Projects in Computer Science.** *1-3 points*.

Prerequisites: Approval by a faculty member who agrees to supervise the work.

A second-level independent project involving laboratory work, computer programming, analytical investigation, or engineering design. May be repeated for credit, but not for a total of more than 3 points of degree credit. Consult the department for section assignment.

**COMS W4910 Curricular Practical Training.** *1 point*.

Prerequisites: obtained internship and approval from faculty advisor.

Only for M.S. students in the Computer Science department who need relevant work experience as part of their program of study. Final report required. This course may not be taken for pass/fail credit or audited.

**COMS W4995 Special topics in computer science, I.** *3 points*.

Lect: 3.

Prerequisites: Instructor's permission.

Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.

Spring 2017: COMS W4995 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 4995 | 001/61231 | T Th 2:40pm - 3:55pm 1127 Seeley W. Mudd Building |
Eitan Grinspun | 3 | 17/30 |

COMS 4995 | 002/70682 | M W 2:40pm - 3:55pm 415 Schapiro Cepser |
Suman Jana | 3 | 36/40 |

COMS 4995 | 003/14850 | M W 2:40pm - 3:55pm 486 Computer Science Bldg |
Alexandr Andoni | 3 | 46/60 |

COMS 4995 | 004/92109 | T Th 2:40pm - 3:55pm 825 Seeley W. Mudd Building |
Peter Belhumeur | 3 | 41/40 |

COMS 4995 | 005/20797 | M W 4:10pm - 5:25pm 408 Zankel |
Andreas Mueller | 3 | 95/125 |

COMS 4995 | 006/82097 | M 7:00pm - 9:30pm 327 Seeley W. Mudd Building |
Adam Kelleher | 3 | 21/50 |

COMS 4995 | 007/82650 | F 10:10am - 12:00pm 327 Seeley W. Mudd Building |
Bjarne Stroustrup | 3 | 36/35 |

COMS 4995 | 008/16347 | F 2:00pm - 4:00pm 313 Fayerweather |
Eren Kursun | 3 | 67/75 |

Fall 2017: COMS W4995 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

COMS 4995 | 001/72676 | T 4:10pm - 6:40pm Room TBA |
Paul Blaer | 3 | 0/30 |

## Computer Science - English

## Computer Science - Electrical Engineering

**CSEE W3827 Fundamentals of Computer Systems.** *3 points*.

Lect: 3.

Prerequisites: An introductory programming course.

Fundamentals of computer organization and digital logic. Boolean algebra, Karnaugh maps, basic gates and components, flip-flops and latches, counters and state machines, basics of combinational and sequential digital design. Assembly language, instruction sets, ALU’s, single-cycle and multi-cycle processor design, introduction to pipelined processors, caches, and virtual memory.

Spring 2017: CSEE W3827 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

CSEE 3827 | 001/24427 | T Th 10:10am - 11:25am 501 Northwest Corner |
Daniel Rubenstein | 3 | 106/150 |

Fall 2017: CSEE W3827 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

CSEE 3827 | 001/20794 | T Th 10:10am - 11:25am Room TBA |
Martha Kim | 3 | 189/189 |

**CSEE W4119 Computer Networks.** *3 points*.

Lect: 3.

Corequisites: SIEO W3600,IEOR E3658

Introduction to computer networks and the technical foundations of the Internet, including applications, protocols, local area networks, algorithms for routing and congestion control, security, elementary performance evaluation. Several written and programming assignments required.

Spring 2017: CSEE W4119 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

CSEE 4119 | 001/68757 | F 10:10am - 12:40pm 501 Northwest Corner |
Gil Zussman | 3 | 129/150 |

Fall 2017: CSEE W4119 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

CSEE 4119 | 001/74094 | T Th 1:10pm - 2:25pm Room TBA |
3 | 61/150 |

**CSEE W4140 Networking Laboratory.** *3 points*.

Lect: 3.

Prerequisites: equivalent.

In this course, students will learn how to put "principles into practice," in a hands-on-networking lab course. The course will cover the technologies and protocols of the Internet using equipment currently available to large internet service providers such as CISCO routers and end systems. A set of laboratory experiments will provide hands-on experience with engineering wide-area networks and will familiarize students with the Internet Protocol (IP), Address Resolution Protocol (ARP), Internet Control Message Protocol (ICMP), User Datagram Protocol (UDP) and Transmission Control Protocol (TCP), the Domain Name System (DNS), routing protocols (RIP, OSPF, BGP), network management protocols (SNMP, and application-level protocols (FTP, TELNET, SMTP).

Spring 2017: CSEE W4140 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

CSEE 4140 | 001/69879 | T Th 11:40am - 12:55pm 644 Seeley W. Mudd Building |
Gil Zussman | 3 | 13/42 |

Fall 2017: CSEE W4140 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

CSEE 4140 | 001/28029 | M W 10:10am - 11:25am Room TBA |
Gil Zussman | 3 | 20/32 |

**CSEE W4823 Advanced Logic Design.** *3 points*.

Lect: 3.

Prerequisites: half-semester introduction to digital logic, or equivalent.

An introduction to modern digital system design. Advanced topics in digital logic: controller synthesis (Mealy and Moore machines); adders and multipliers; structured logic blocks (PLDs, PALs, ROMs); iterative circuits. Modern design methodology: register transfer level modeling (RTL); algorithmic state machines (ASMs); introduction to hardware description languages (VHDL or Verilog); system-level modeling and simulation; design examples.

**CSEE W4824 Computer Architecture.** *3 points*.

Lect: 3.

Prerequisites: equivalent.

Focuses on advanced topics in computer architecture, illustrated by case studies from classic and modern processors. Fundamentals of quantitative analysis. Pipelining. Memory hierarchy design. Instruction-level and thread-level parallelism. Data-level parallelism and graphics processing units. Multiprocessors. Cache coherence. Interconnection networks. Multi-core processors and systems-on-chip. Platform architectures for embedded, mobile, and cloud computing.

Spring 2017: CSEE W4824 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

CSEE 4824 | 001/73309 | T Th 1:10pm - 2:25pm 702 Hamilton Hall |
Martha Kim | 3 | 69/80 |

**CSEE W4840 Embedded Systems.** *3 points*.

Lect: 3.

Embedded system design and implementation combining hardware and software. I/O, interfacing, and peripherals. Weekly laboratory sessions and term project on design of a microprocessor-based embedded system including at least one custom peripheral. Knowledge of C programming and digital logic required. Lab required.

**CSEE W4868 System-on-chip platforms.** *3 points*.

Lect: 3.**Not offered during 2017-18 academic year.**

Design and programming of System-on-Chip (SoC) platforms. Topics include overview of technology and economic trends, methodologies and supporting CAD tools for system-level design; models of computation, the SystemC language, transaction-level modeling, hardware-software partitioning, high-level synthesis, system programming, on-chip communication, memory organization, power management and optimization, integration of programmable processor cores and specialized accelerators. Case studies of modern SoC platforms for various classes of applications.

Fall 2017: CSEE W4868 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

CSEE 4868 | 001/23175 | T Th 11:40am - 12:55pm Room TBA |
Luca Carloni | 3 | 28/64 |

## Computer Science - Biomedical Engineering

**CBMF W4761 Computational Genomics.** *3 points*.

Lect: 3.

Prerequisites: Working knowledge of at least one programming language, and some background in probability and statistics.

Computational techniques for analyzing genomic data including DNA, RNA, protein and gene expression data. Basic concepts in molecular biology relevant to these analyses. Emphasis on techniques from artificial intelligence and machine learning. String-matching algorithms, dynamic programming, hidden Markov models, expectation-maximization, neural networks, clustering algorithms, support vector machines. Students with life sciences backgrounds who satisfy the prerequisites are encouraged to enroll.

Spring 2017: CBMF W4761 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

CBMF 4761 | 001/29952 | M W 4:10pm - 5:25pm 524 Seeley W. Mudd Building |
Itshack Pe'er | 3 | 20/50 |