# CPSC 221: Discrete Structures

```     Department of Mathematics and Computer Science
Hobart and William Smith Colleges

Spring, 1999.

Instructor:  David J. Eck.

Monday, Wednesday, Friday, 1:20--2:40 PM, in Room Lansing 300.
```

### The Course and the Text

CPSC 221 is a course in discrete mathematics. The term "discrete" here is used to distinguish this branch of mathematics from calculus and analysis, which deal with the real numbers and with continuous functions. Areas of mathematics that we will touch on include logic, set theory, combinatorics, and graph theory. These topics have wide-ranging applications in computer science and in other branches of mathematics.

The course will emphasize mathematical reasoning and proof techniques. Although CPSC 221 is listed as a computer science course and is a required course in the computer science major, it is not a course in programming. We will not use computers. (Occasionally, I might give you the option of writing a computer program as a substitute for some homework exercises. We also might use computers to do some calculations.)

The text for this course is Discrete and Combinatorial Mathematics, fourth edition, by Ralph P. Grimaldi. This is a big book, and we will only do a fraction of the material in it. I expect to cover most of Chapters 1 though 7 and Chapter 11. However, depending on time, we will probably skip some sections in these chapters and we might cover a few topics from other chapters.

### Homework Assignments

I will assign homework and collect it for grading every week. But you should understand that I cannot possibly grade as many problems as you need to do! Answers to the odd numbered exercises are given at the back of the text. I advise you to do as many exercises as you can from each section that we cover. Remember that you are expected to spend ten hours or more per week on this course, outside of class.

Homework exercises will be graded on the basis of the work you show. No credit will ever be given for an unsupported answer. I expect you to write up your answers clearly and neatly. Many of the exercises will be proofs. Proofs are written in English prose, with some mathematics added in. You should write them with the same care that you would devote to an essay in an English class.

### Getting Help

I encourage you not to be shy about asking for help! Come to my office when you need help with the course material or with your homework. Help will also be available in the math interns office, Lansing 309. Hours will be announced.

### Tests

There will be two in-class tests, which will be given on Wednesday, April 21 and on Monday, May 17. I expect that the first test will cover Chapters 1, 2, and 3, and the second test will cover Chapters 4, 5, 6, and possibly part of Chapter 7. The final exam will take place at its officially scheduled time, Monday June 7 at 8:30 AM (the second day of exams). The final exam will be cumulative, with some emphasis on the material that we cover after the second test. It will be in our regular classroom, Lansing 300.

```             First Test:               25%
Second Test:              25%
Final Exam:               25%
Homework:                 25%
```

```             A:  90% to 100%
B:  80% to 89%
C:  65% to 79%
D:  50% to 64%
F:  less than 50%
```

Grades near the bottom or top of a range are modified by a minus or plus. I follow this scale fairly strictly, although I occasionally "curve" a test by adding some points to each person's score, if I judge that the original grades on the test do not accurately reflect the performance of students in the class.

### Office Hours, Email

My office is room 301 in Lansing Hall, just next door to our regular classroom. My office phone extension is 3398. I am on campus most days, and you are welcome to come in anytime you can find me there. I will announce office hours and post them on my office door as soon as my schedule is determined, but note that your office visits are not restricted to my regular office hours.

My email address is eck@hws.edu. Email is good way to communicate with me, since I usually answer messages within a day after I receive them.

David Eck, 15 March 1999