Instructor: Dr. Kathryn Truman
Office: Math Building 1113
Email: rendke (at math dot umd dot edu)
| Course Info: | Fall 2009 |
| MWF 11:00-11:50 | |
| Room 0105 (Math Bldg) |
Office Hours: 12:00-12:30 MWF
Text: Mathematical Proofs by Chartrand, Polimeni and Zhang, 2nd edition
Recommended: Advanced Calculus by Fitzpatrick, 2nd edition, Thomson Brooks/Cole (this is the text for Math 410)
Prerequisite: Math141
Corequisite: Math241. Please note that Math240 is also a prerequisite for Math410.
Course Description:
Math310 is designed to be a lead in course to Math410 (Advanced Calculus). The goal
is to introduce you to introductory theory material and review some calculus with proof, so
that you will be able to succeed in Math410. 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. This course should not only prepare you for
Math410, but also prepare you to study theoretical mathematics in any area. Approximately
one third of the course will be spent reviewing some introductory calculus material with
proof. We will discuss sequences and series in more detail as well. We will also spend time
gaining a deeper understanding of the real numbers as a field.
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 departments 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 9 of Fitzpatrick.
| Exam 1: | Chapters 0, 1, 2 |
| Exam 2: | Chapters 3, 4, 5 |
| Exam 3: | Chapters 6, 7, 8, 9, 10 |
| Exams 4 and 5: | PHP, Chapter 12 of Chartrand and 1, 2, and parts of Ch 3 and 9 of Fitzpatrick |
Quizzes and Exams: Eventually I'll post quizzes and exams here.
Grading:
| Five in-class Exams (75 pts each) | 375 pts |
| Weekly Homework (20 pts each) | 220 pts |
| Weekly Quizzes (15 pts each) | 180 pts |
| Final (Exam | 150 pts |
| Total | 925 pts |
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 each Friday (unless there is an exam on Friday then homework is due Wednesday). Exam and Quiz questions will be similar if not identical to homework questions. Quizzes will be on Mondays (on the homework due the previous Friday) and days before exams (on all material since the last exam). I expect to assign somewhere between 6 and 12 problems each day, but I will only collect 6 problems at a time. I will not specify in advance which problems will be collected. For this reason each problem must be done on a separate page (or partial page) and you must include your name on each page (or partial page). Late homework will
not be accepted, except in extreme cases. All odd numbered questions have answers/solutions in the back, therefore I will not
collect odd problems (except in rare situations.) However, I will assign them and expect that you understand them for quizzes
and exams. So, 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.
| Assignment | Assigned Problems | Due Date |
| Assignment 1 | Read Chapter 0 (Quiz Friday), 1.1, 1.4, 1.7, 1.9, 1.11, 1.18, 1.19, 1.22, 1.23, 1.24, 1.48, 1.52, 1.56, 1.57 | 09/04/09 |
| Assignment 2 | 2.2, 2.3, 2.4, 2.8, 2.10, 2.14, 2.15, 2.20, 2.21c, 2.24, 2.28, 2.30, 2.31, 2.34, 2.38, 2.39, 2.40, 2.45, 2.46, 2.57, 2.59, 2.61, 2.62a | 09/16/09 |
| Assignment 3 | 3.2, 3.3, 3.6, 3.7, 3.11, 3.12, 3.13, 3.16, 3.20, 3.21, 3.22, 3.28, 3.30, 3.31, 3.32, 3.34, 3.35, 3.37, 3.39, 3.41, 3.45 | 9/25/09 |
| Assignment 4 | 4.3, 4.4, 4.5, 4.7, 4.18, 4.20, 4.25, 4.27, 4.30, 4.31, 4.33, 4.34, 4.36, 4.37, 4.49, 4.50, 4.51, 4.54, 4.60, 4.61, 4.62, 4.66 + a few Ch5 problems? | 10/02/09 |
| Assignment 5 | 5.1, 5.6, 5.11, 5.12, 5.16, 5.21, 5.22, 5.24, 5.26, 5.32, 5.34, 5.35, 5.36, 5.38, 5.40, 5.43, 5.46 | 10/07/09 |
| Assignment 6 | 6.3, 6.4(1), 6.5, 6.6, 6.8(b), 6.14, 6.16, 6.20, 6.24, 6.32, 6.35, 6.38, 6.39, 6.40, 6.46, 6.48 | 10/16/09 |
| Assignment 7 | 7.1, 7.3, 7.4, 7.6, 7.7, 7.11, 7.12, 7.13, 7.17, 7.20, 7.23, 7.24, 7.26, 7.28, 7.32, 7.37, 7.42, 7.46, 7.52, 7.58, 7.66 | 10/21/09 |
| Assignment 8 | 8.3, 8.4, 8.5, 8.6, 8.12, 8.16, 9.54a | 10/23/09 |
| Assignment 9 | 9.2, 9.4, 9.6, 9.12, 9.15, 9.18, 9.20, 9.24, 9.40, 9.42 | 10/28/09 |
| Assignment 10 | 9.26, 9.28. 9.29, 9.33, 9.35, 9.37, 9.48(a-f), 9.49 | 10/30/09 |
| Assignment 11 | 10.1, 10.3, 10.6, 10.14,10.17, 10.19, 10.24 | 11/6/09 |
| Assignment 12 | Fitzpatrick: 1.1 #2, 11, 13, 14, 19; 1.2 #1, 3, 4, 5; 1.3 #4, 6, 8, 14, 15 | 11/11/09 |
| Assignment 13 | F-2.1 #1, 2, 6, 7, 8, 11, 16, 17; C-12.2, 12.3, 12.4, 12.5, 12.6, 12.31, 12.32, 12.33, 12.41 | 11/16/09 |
| Assignment 14 | F-2.2 #1, 5; 2.3 #1, 3, 8 | 11/20/09 |
| Assignments 15 | F-2.4 #1, 2, 3, 7, 8, 9 + Extra Hwk | 12/2/09 |
| Assignments 16 | F-3.1 #1, 2, 3, 5, 7, 8 + Exam corrections | 12/4/09 |
| Assignments 17 | F-3.5 # 1, 2, 3, 4; C-12.3 & 12.5 #12.11, 12.12, 12.14, 12.16, 12.25, 12.26, 12.35 | 12/7/09 |