** Grading ** :
**WARNING**. You will be graded both on correctness and on quality of exposition. Indeed, a major
focus of Math 574 is the ability to communicate mathematical ideas clearly.
**The standard is that someone who doesn't know the answer should be able to easily follow your work.**
In particular, please write in **complete English sentences** where appropriate (in particular, where
writing proofs.)
Any work that is confusing, ambiguous, or poorly explained will not receive full credit.

**Exams** will have a variety of questions. Some questions will be chosen directly from the
homework assignments, and most will at least be similar to homework problems.

**Grading scale**: A = 90+, B+ = 85+, B = 78+, C+ = 73+, C = 66+, D = 52+.

**Please note that my grading scale is more generous than the usual 10-point scale.** However,
I am a (slightly) stricter grader than most.
This is intended
to balance out.

Grade component |
** % of grade ** |

** Two in-class exams ** |
20% x 2 |

** Final exam: ** |
35% |

** Homework: ** |
25% |

**Lectures and homeworks** :
The following schedule is a **rough** outline of what we will cover. **Subject
to change.** Homework assignments will be added here as the term goes on.

**Jan. 10-12:** Sets, relations, and functions (Ch. 1.1-1.3)

* Homework 0, due Friday, January 13, by 5:00. (Please note the special instructions.)

**Jan. 17-19:** Introduction to logic (Ch. 2.1-2.3)

* Homework 1, due Friday, January 20, by 5:00.

**Jan. 24-26:** Introduction to logic (Ch. 2.1-3.4)

* Homework 2, due Friday, January 27, by 5:00.

**Jan. 31-Feb. 2:** The logic of quantified statements (Ch. 3.1-3.4)

* Homework 3, due Friday, February 3, by 5:00.

**Feb. 7:** Methods of proof (Ch. 4.1-4.6)

**Feb. 9:** Midterm Examination 1

**Feb. 14-16:** Methods of proof (cont.) (Ch. 4.1-4.6)

* Homework 4, due Friday, February 17, by 5:00.

**Feb. 21-23:** Proof by induction (Ch. 5.1-5.4)

* Homework 5, due Friday, February 24, by 5:00.

**Feb. 28-Mar. 1** Induction (Ch. 5)

* Homework 6, due Friday, March 2, by 5:00.

**Mar. 6-Mar. 8** Spring Break!

**Mar. 13-15** Introduction to set theory (Ch. 6.1-6.4, 7.2)

* Homework 7, due Monday, March 19, by 5:00.

**Mar. 20** More on set theory; exam review

**Mar. 22** Midterm Examination 2

**Mar. 27-29** Counting and probability (Ch. 9)

* Homework 8, due Monday, April 2, by 5:00.

**Apr. 3-5** Counting and probability (cont.) (Ch. 9)

* Homework 9, due Friday, April 6, by 5:00.

**Apr. 10-12** Counting and probability (cont.) (Ch. 9)

* Homework 10, due Monday, April 16, by 5:00.

**Apr. 17-19** Counting and probability (cont.) (Ch. 9)

**Final exam:** May 2, 9:00 am-12:00 pm.