University of Virginia, Department of Computer Science
cs150: Computer Science — Spring 2007
cs150  Spring 2007

CS150 Syllabus

Course Objective. The goal of this course is to teach students with no prior experience in computing to think like computer scientists.

The course is designed to enable students to appreciate, use and understand ideas at the core of computer science. This course covers ideas that will be useful and interesting to students, whether or not they major in computer science.

Course Description. In the past hundred years, computer science has changed the world more than any other field. Without nuclear Physicists, World War II may have lasted longer, but without computer scientists the other side may have won. Without computer science, humans would not have walked on the Moon, modern medicine would not exist, and Wal-Mart would be a small store in Arkansas.

But this course is not just about the pragmatic impact of computer science; it is about how computer science changes the ways we think, solve problems and understand the world. Despite its name, computer science has very little to do with the beige boxes we call computers, and it is far from being a science. It has more in common with music and mathematics than it does with science or engineering. At its core, computer science is the study of imperative knowledge. Whereas mathematics is all about declarative knowledge ("what is"), computer science is all about "how to" knowledge.

Computer science is the study of how to describe and predict properties of information processes. Most of what we know about describing information processes stems from three simple ideas:

  1. You can define things in terms of themselves (recursive definitions).
  2. You can treat procedures and data as one and the same (first class procedures).
  3. When you give something a name, it becomes more useful (abstraction).
Although these ideas are simple, they have profound implications that it takes many years to fully appreciate.

The kinds of properties we want to predict about information processes include whether or not there is a procedure that can always solve a given problem (computability), and how much time and space will be required to solve a given problem (complexity).

Expected Background: This course is open to students with no prior background in computer science or programming, but appropriate and challenging for experienced CS majors also. The only background we assume is:

Meetings: Mondays, Wednesdays and Fridays at noon-12:50 pm in Olsson 005.

Books: There is required book for this course:

Additional readings will be provided from the course book and handouts.

A recommended supplemental textbook is:

  • Structure and Interpretation of Computer Programs ("Wizard Book"), by Harold Abelson and Gerald Jay Sussman with Julie Sussman (referred to as SICP) [MIT Press] [Amazon]

    Web page: http://www.cs.virginia.edu/cs150. This page is updated often and students are expected to visit it regularly (almost every day). All lectures, notes and assignments for the course will be posted on the web site.

    Staff

    Coach:
    David Evans (evans@virginia.edu, phone x2-2218, Olsson 236A). My office hours will be posted on the course website.

    Assistant Coaches:
    Kinga Dobolyi
    Richard Hsu
    Dan Marcus

    Email: Send mail to cs150-staff@cs.virginia.edu to reach the whole course staff.

    Assignments

    Problem Sets. There will be eight problem sets that involve both written questions and programming problems. Some problem sets will be done by small groups of students. For almost all students, doing the problem sets will be the best way to learn the course material.

    The expected problem set due dates and topics (which are subject to change) are:

    Unless noted otherwise, problem sets are due at the beginning of class (noon) on the day they are due.

    Quizzes. There may be several short in-class quizzes throughout the semester. These may or may not be announced in advance. Except in unusual circumstances, these will have no effect on your grade. Instead, they are used to allow you and I to determine if important concepts have been understood throughout the semester.

    Exams. There will be two exams during the semester and a final. All exams will be open book and open notes. All exams will be take-home unless I have any reason to believe there are any untrustworthy students in this class.

    Collaboration Policy

    Your fellow students are your best resource. Except on Exams and some Quizzes which are done individually, students are encouraged to discuss readings and assignments in study groups. Some assignments may have a specific collaboration policy, which should be explained clearly on the assignment. If this is ever unclear, ask to make sure before proceeding.

    Students are also encouraged to consult outside sources, including human experts. Always list the resources you used (students, outside experts, papers, web sites) on your submission. The only resource you may not use are CS150 problem sets from previous semesters of CS200. It is to your advantage for the course staff to be able to reuse effective assignments from previous semesters, and important that we can trust you to no abuse those materials.

    All students are required to sign the course pledge, which applies to the entire course.

    Topics

    Language: Formal Systems and Languages, Rules of Evaluation

    Be able to identify the primitives, means of combination, and means of abstraction for a language; describe a language using BNF or RTN; determine the set of the surface forms in a language described by a BNF grammar or RTN; determine what a surface form in a language means if you are given evaluation rules for the language; determine the value of a Scheme expression following the rules of evaluation.

    Recursive Definitions

    Understand a recursive definition; solve a problem by defining a procedure recursively; reason about the process produced by evaluating an application of a recursively defined procedure; define and understand procedures that take procedures as parameters; define and understand procedures that produces procedures as results.

    Programming with Lists

    Define procedures that manipulate lists, use and understand procedures that traverse lists.

    Programming with Mutation and Objects

    Define and understand procedures that use mutation; draw environment diagrams; explain what environment diagrams mean; define procedures that create objects; explain a class hierarchy; define procedures that use inheritance; explain how a method is selected given class definitions.

    Metalinguistic Abstraction

    Understand an evaluator; modify and evaluator to change the meaning of a language; explain why the difference between eagar and lazy evaluation matters; explain the advantages and disadvantages of static type checking; understand an evaluator that does static type checking.

    Programming for the Internet

    Measure the latency and bandwidth of a network; explain the advantages and disadvantages of packet switching; make a dynamic web site; construct a SQL command to select or insert data in a database table; learn a new language given a BNF grammar and an informal description of its evaluation rules.

    Measuring Complexity

    Describe problems precisely in terms of their inputs and outputs; express the amount of work a procedure requires using Theta notation; describe a problem using O, Omega, Theta; estimate the amount of work a solution to a problem involves; classify problems into complexity classes P and NP; explain convincingly what a problem is in NP; explain what it would mean if someone developed a fast (polynomial time) procedure for an NP-Complete problem.

    Computability

    Explain what it means for an axiomatic system to be perfect, incomplete or inconsistent; explain the essence of Godel's proof; determine if a problem is decidable or undecidable, and provide a convincing (informal) argument why.

    Models of Computation

    Explain how to model computation; understand a finite state machine description and explain what it does; understand a Turing Machine description and explain what it does; explain if a problem can be solved by a finite state machine (or why it cannot); define a Turing Machine that solves a simple problem; reduce a Lambda Calculus term to normal form; create and manipulate Lambda Calculus terms that represent true, false, if, numbers and lists; show that a computing model is (or is not) capable of modeling any mechanical computation.

    Evaluation

    All students who put an honest effort into all the assignments and convince me they have learned to think like a computer scientist by the end of the course will receive an A as a final grade.

    For students who do not succeed in convincing me they can think like a computer scientist, grades will be based on approximately the following weighting:

    Problem Sets50 (40-70)
    Exam 115 (5-15)
    Exam 215 (10-20)
    Final Exam20 (15-50)
    Class Contribution0 (0-10)

    Grades will be tabulated varying the weights assigned to each category in several different ways using the ranges above. Some of those weightings will drop the lowest problem set score. In general, the weighting that is best for you is used.

    Spend your energy focusing on what you are learning, instead of worrying about your grade. Although the material we cover is challenging, and the pace may seem overwhelming at times, historically all students who put effort into this class have done fine. Although not everyone will succeed, all students are expected to get an A in the course. Students who do outstanding work in the course will be considered for funded summer research positions in Prof. Evans' research group.