MATH 387 (Discrete Mathematics), Fall 2015

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Course information:

Instructor: Jake Wildstrom
Office: Natural Sciences Building 113
Primary office hours: Monday 13:00–14:00, Tuesday 11:00–12:00
Secondary office hours: Wednesday 16:00–17:00, Thursday 14:00–15:00, or by appointment
Phone number: (502)852-5845 (x5845)
Lecture: MWF 12:00–12:50 in Natural Sciences Building 317
Prerequisites: MATH 206 or EAC 102 and MATH 325, or permission of instructor.
Description: Pigeon-hole principle, counting techniques, binomial coefficients, generating functions, Stirling and Catalan numbers, permutations and graphs.
Textbook: Applied Combinatorics, Preliminary Edition by Keller and Trotter. This book is available as a free download.
Objectives: In this class, we will study the fundamentals of discrete mathematics, including deductive proof, inductive proof, counting techniques, binomial coefficients, the pigeonhole principle, the inclusion-exclusing principle, recurrence relations, generating functions, and graphs.
Responsibilities: You are responsible for attending class on a regular basis and maintaining comprehension of the scheduled class objectives for each day. You are expected to be active participants in class, to turn in assignments promptly, and to attend examinations. Except in case of emergency, late assignments will only be accepted for half credit within one week of the original due date. It is important that you show your work or outline the process of discovery for each problem on the homework assignments. No credit will be given for answers which do not include work, unless otherwise stated.
Special needs: Any scheduled absence during a quiz or examination, or any other special needs, must be brought to my attention before the end of the second week of class. Unscheduled absences will be handled on a case-by-case basis, with exceptions generally made only for documented emergencies.
Honesty: There are many resources available to help you succeed in this class, including consultation during office hours, secondary texts, and cooperation with other students. It is important, however, that all papers handed in be the result of your individual comprehension of the course material. Duplication of others' work is both a disservice to your own education and a serious violation of the university's academic honesty policy.
Grades: Homework problems account for 40% of your grade. Each of the two midterm examinations will be 15% of your grade, and the final examination will contribute 30%. A 90% overall guarantees a grade of A–, 80% guarantees a B–, and 70% guarantees a C–.
Title IX/Clery Act Notification: Sexual misconduct (including sexual harassment, sexual assault, and any other nonconsensual behavior of a sexual nature) and sex discrimination violate University policies. Students experiencing such behavior may obtain confidential support from the PEACC Program (502-852-2663), Counseling Center (502-852-6585), and Campus Health Services (502-852-6479). To report sexual misconduct or sex discrimination, contact the Dean of Students (502-852-5787) or University of Louisville Police (502-852-6111). Disclosure to University faculty or instructors of sexual misconduct, domestic violence, dating violence, or sex discrimination occurring on campus, in a University-sponsored program, or involving a campus visitor or University student or employee (whether current or former) is not confidential under Title IX. Faculty and instructors must forward such reports, including names and circumstances, to the University's Title IX officer. For more information, see the Sexual Misconduct Resource Guide.
Changes: The syllabus is subject to change. Changes will be announced in class and updated online.

Course schedule

This schedule is tentative and may not reflect our progress at any particular time in the class; treat this as a rough guide only.

Monday Wednesday Friday
August 24th
The Big Picture
August 26th
Chapter 1
August 28th
Drop date
Chapter 1
August 31st
Section 2.1
September 2nd
Section 2.2
September 4th
Section 2.3
September 7th
Labor day
September 9th
Section 2.4
September 11th
Section 2.4
September 14th
Section 2.5
September 16th
Section 2.6
September 18th
Section 2.7
September 21st
Sections 3.1, 3.2
September 23rd
Sections 3.3, 3.4
September 25th
Sections 3.5, 3.6
September 28th
Section 7.1, 7.2
September 30th
Section 7.3
October 2nd
Exam #1
October 5th
Midterm break
October 7th
Section 7.4
October 9th
Section 7.5
October 12th
Section 4.1
October 14th
Section 4.1
October 16th
Sections 4.2, 4.3
October 19th
Sections 4.2, 4.3
October 21st
Section 8.1
October 23rd
Section 8.2
October 26th
Withdrawl date
Sections 8.3, 8.4
October 28th
Section 8.5
October 30th
Section 8.6
November 2nd
Sections 9.1, 9.2
November 4th
Section 9.2
November 6th
Sections 9.3, 9.4
November 9th
Section 9.5
November 11th
Section 9.6
November 13th
Section 9.6
November 16th
Section 15.1
November 18th
Section 15.2
November 20th
Section 15.3
November 23rd
Exam #2
November 25th
Thanksgiving break
November 27th
Thanksgiving break
November 30th
Chapters 5 and 6
December 2nd
Chapters 5 and 6
December 4th
Chapters 5 and 6
December 7th
Chapters 5 and 6
December 9th
No class
December 11th
Final exam, 11:30–14:00

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