Instructor: Dr. Kathryn Truman
Office: Math Building 1113
Email: rendke (at math dot umd dot edu)
| Course Info: | Spring 2014 |
| MWF 10:00-10:50 | |
| MTH0305 |
Office Hours: 9:30-9:55 MWF and by appointment
Text: Mathematical Proofs by Chartrand, Polimeni and Zhang, 2nd edition
Recommended: Advanced Calculus by Fitzpatrick, 2nd edition, AMS (this is the text for Math 410)
Prerequisite: Math141
Corequisite: Math241. Please note that Math240 is also a prerequisite for Math403, 405, and 410.
Course Description:
Math310 is an introduction to proof course. For most students it will be used as a preparation
for Math410, but it is also foundational knowledge that all math majors should have.
The goal is to teach you to introductory theoretical material and review some calculus with
proof, so that you will be able to succeed in Math410 and other proof based courses. The
majority of the course will be spent on introducing the theory of mathematics. You will
learn different methods of proof and how to apply each technique to different situations.
Approximately one third of the course will be spent reviewing sequences and some introductory
calculus material with proof, though I may add some introductory number theory or
algebra to the end of the course. I expect you to work hard and attend class.
I have very high expectations for everyone. If you need help SEE ME!
You will be expected to read, understand and do proofs in this course.
If you are not yet comfortable with proofs you
will be by the end of the semester. To really learn mathematics you need
to do mathematics, so you will be expected to work on problem sets. You
should also read the material from the text before each class. For a
description of the material to be covered see the math department's course
syllabus here.
The syllabus I handed out in class (in PDF format) is here.
Rough Schedule: We will cover Chapters 0 through 10 and 12 of Chartrand, Polimeni and Zhang, as well as parts of Chapters 1, 2 and 3 of Fitzpatrick.
| Exam 1: | Chapters 0-6 |
| Exam 2: | Chapters 7-10, PHP, Chapter 1 of Fitzpatrick |
| Exam 3: | 12.1 of Chartrand and Chapters 2-3 of Fitzpatrick |
Grading:
| Thre in-class Exams (100 pts each) | 300 pts |
| Homework (20 pts each) | 260 pts |
| Quizzes (10 pts each) | 140 pts |
| Final (Exam | 200 pts |
| Total | 900 pts |
As per the University's illness policy, if you miss a class due to illness, you must make a reasonable effort to contact me prior to class and provide me with a note signed by you detailing the date and reason for absence at the next class attended. If you miss more than two classes or an exam you will be required to provide a documentation signed by a health care professional.
You can find old exams given in this course at testbank.
Honor Code: You should be familiar with the University's policies on Academic Integrity, including the Honor Pledge. In this course: you are cheating on homework if you copy someone else's work. It is fine to have someone explain a problem to you, or show you her work; you just have to write a solution from your own understanding, without simply copying. Copying does not benefit you, as you are unlikely to be able to reproduce the answer on a quiz or exam. Homework is a very important part of this course, but your overall understanding is more important.
Homework Assignments:
I encourage you to work in groups on the homework assignments. Homework will be assigned daily, and collected
every other class day. The solutions manual may available to download online, though probably not legally. The problem sets
will be handed out/announced in class and appear on the class website or canvas under homework with PDF's as needed. All
problems must be turned in, but only selected questions will be graded (for correctness).
The questions must be done in order and no more than two problems per side of each page.
(So no more than 4 per page.) Each page must include your name and it would be best to staple your pages together.
You will be expected understand all provlems for quizzes and exams. All odd problems have solutions in the back of the text.
You should only look at the solutions if you are really stuck and try to only look as far into the solution as you need.
I reserve the right to give unannounced quizzes and make changes in the syllabus
that I feel are necessary. Any changes in the syllabus will be announced in class and posted to the website and/or canvas.
| Homework Problems | Due Date |
| 1.2, 1.8, 1.10, 1.20d, 1.24, 1.25, 1.29, 1.58, 1.70, 1.72, 1.79, 2.2, 2.4, 2.11, 2.13, 2.14, 2.16 | January 31st |