| Instructor: | Jake Wildstrom Office: Natural Sciences Building 113 Primary office hours: Tuesday 12:30–13:30, Wednesday 11:00–12:00 Secondary office hours: Monday 16:00–17:00, Thursday 13:00–14:00, or by appointment Phone number: (502)852-5845 (x5845) E-mail: djwild01@louisville.edu |
| Lecture: | MWF 11:00–12:15 in Natural Sciences Building 212E |
| Prerequisites: | MATH 205 or ENGR 101. |
| Description: | Introduction to abstract mathematics with particular attention to developing proof-reading and proof-writing skills. The basics of set theory, functions, relations, number systems, countability, sequences and their convergence, and the complex plane. |
| Textbook: | Mathematical Proofs: A Transition to Advanced Mathematics, by Chartrand, Polimeni, and Zhang, third edition (ISBN 978-0321797094) |
| Learning goals: | We will learn in this class how to read and write mathematics, and how to craft proofs. We will learn about the fundamental concepts of sets, relations, and functions, and the specific proof tools of direct implication, contradiction, and induction. We will apply our mathematical reasoning to results in set theory, number theory, and combinatorics. Student learning outcomes for this course include the practice and development of critical thinking skills, including: identifying the question or problem, analyzing evidence and developing arguments, and drawing conclusions based upon reason, arguments, and evidence. |
| Responsibilities: | You are responsible for attending class daily and maintaining comprehension of the material presented in class. Problem sets will be presented on a roughly weekly basis and posted online for the benefit of students who are absent. You must complete all assigned problems promptly, and attend examinations on the scheduled dates. Extracurricular interaction with your fellow students, and with the instructor, will be very useful in developing your comprehension. In the interest of promoting structured mathematical writing, solutions to problem sets must be typed and will generally need to be written with attention to grammar and clarity. If you intend to continue mathematical writing it is worth your while to learn the LaTeX document preparation system for writing your solutions, and I will be happy to help you outside of class with learning and using this system. I also have a tutorial for getting started with LaTeX under construction. |
| Special needs: | Any scheduled absence during a quiz or examination, or any other special needs, must be brought to my attention during the first 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: | Problem sets will account for 30\% of your grade, the two midterm examinations will each be worth 20\%, and the final examination will be worth 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. |
This schedule is tentative and may not reflect our progress at any particular time in the class; treat this as a rough guide only.
| Tuesday | Thursday | |
|---|---|---|
| 1 |
January 5th
Winter break
|
January 7th
Section 1.1
|
| 2 |
January 12th
Drop date
Introductory material
|
January 14th
Section 1.2, 1.3
|
| 3 |
January 19th
Section 1.4, 1.5, 1.6
|
January 21st
Section 2.1, 2.2
|
| 4 |
January 26th
Section 2.3, 2.4
|
January 28th
Section 2.5, 2.6
|
| 5 |
February 2nd
Section 2.7, 2.8, 2.9
|
February 4th
Section 2.10
|
| 6 |
February 9th
Section 3.1, 3.2
|
February 11th
Section 3.3, 3.4
|
| 7 |
February 16th
Section 3.4, 3.5
|
February 18th
Exam #1
|
| 8 |
February 23rd
Section 4.1
|
February 25th
Section 4.2, 4.3
|
| 9 |
March 1st
Section 4.4, 4.5, 4.6
|
March 3rd
Section 5.1, 5.4
|
| 10 |
March 8th
Section 5.2, 5.5
|
March 10th
Section 6.1, 6.2
|
| 11 |
March 14th‐18th
Spring break
|
|
| 12 |
March 22nd
Section 6.3, 6.4
|
March 24th
Exam #2
|
| 13 |
March 29th
Section 8.1, 8.2
|
March 31st
Section 8.3--8.6
|
| 14 |
April 5th
Section 9.1, 9.2
|
April 7th
Section 9.3, 9.4
|
| 15 |
April 12th
Section 9.5, 9.6, 9.7
|
April 14th
Section 10.1, 10.2
|
| 16 |
April 19th
Section 10.3, 10.4
|
April 21st
Reading day
|
| 17 |
April 26th
Final exam, 11:30–14:00
|
April 28th
|