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01:640:103:H - Topics in Mathematics for the Liberal Arts - Honors Section

The SAS Honors section of Math 103: Topics in Math for the Liberal Arts, is quite different from the non-honors sections.

Imagine an internet without privacy: your e-mails could be read by any motivated eavesdropper, your credit card and bank account information would be public knowledge, and the passwords you enter could never be secret. You could pretend to be anyone, and anyone could pretend to be you. The internet would be brought to its knees without its users trusting that it could keep secrets. But do we actually live in such a world?

This course is about cryptology, the science of hiding information. Historically, sharing secrets over long distances typically meant two parties first had to agree on a password, and then send messages to each other using their secret password. But how can they agree on a password in the first place unless they meet in person, or have a trusted courier?

We will focus mainly on the amazing breakthroughs made in the last 30 years which effectively exploit difficult mathematics problems as a trusted courier. It used to be that these problems frustrated mathematicians; now they are used as locks, challenging problem solvers to pick them. They enable two people who have never met nor communicated with each other to share secrets in public. The problems are typically very simple to state and understand, but practically speaking nobody knows how to solve them fast enough to break these "locks". How do they work? What would it take for someone to break them? What would happen then?

The course will consist of three parts. In the first part we describe some traditional cryptographic ciphers, and the mathematics which breaks them. The second consists of the mathematical "locks and keys" used to keep secrets. In the third part, we explore aspects of mathematics in security, for example in ATM machines, cell phones, remote control car locks, electronic voting machines, DVD encryption, cable TV, ID cards, and more. The mathematics needed is at an elementary level.

Not usable as an elective toward the Math major or minor.


Fall 2016

Instructor: Peter Ullman

Previous semester resources

Current Semester

Topics in Mathematics for the Liberal Arts (01: 640: 103, Summer 2017 )

Topics in Mathematics for the Liberal Arts (section B6)
Index Number: 01495
Credits: 3
Professor: ROEMER
  • By Arrangement
  • [L] Fri 6:00PM-8:00PM TIL-127 (LIV)
  • [L] Wed 6:00PM-8:00PM TIL-127 (LIV)
Topics in Mathematics for the Liberal Arts (section H6)
Index Number: 01376
Credits: 3
Professor: GULICK
  • By Arrangement
  • [L] Thu 6:00PM-8:00PM SC-104 (CAC)
  • [L] Mon 6:00PM-8:00PM SC-104 (CAC)

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This material is posted by the faculty of the Mathematics Department at Rutgers New Brunswick for informational purposes. While we try to maintain it, information may not be current or may not apply to individual sections. The authority for content, textbook, syllabus, and grading policy lies with the current instructor.

Information posted prior to the beginning of the semester is frequently tentative, or based on previous semesters. Textbooks should not be purchased until confirmed with the instructor. For generally reliable textbook information—with the exception of sections with an alphabetic code like H1 or T1, and topics courses (197,395,495)—see the textbook list.

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