Instructor: Dr. Kathryn Truman
Office: Math Building 1113
Email: rendke (at math dot umd dot edu)
| Course Info: | Winter 2011 |
| M-F, 10:00-12:00 | |
| Room 1313 (Math Bldg) |
Office Hours: 9:30-10:00 M-F, 2:00-2:40 MWF.
Text:Mathematical Proofs by Chartrand, Polimeni and Zhang, 2nd edition, Advanced Calculus by Fitzpatrick, 2nd edition, Thomson Brooks/Cole (this is the text for MATH410)
Prerequisite: MATH241, MATH240
Course Description:
MATH307 is designed to be a lead in course to MATH410 (Advanced Calculus). It is approximately 2/3 of MATH310.
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. 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
half of the course will be spent reviewing some introductory calculus material with
proof. We will discuss sequences and continuity in more detail as well.
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 term. 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.
Grading:
| Two take home hour Exams (75 pts each) | 150 pts |
| Daily Homework | 300 pts |
| Daily Quizzes | 135 pts |
| Final (Partially Cumulative) | 165 pts |
| Total | 750 pts |
Exam Dates: January 7th due January 10th; January 14th
due January 18th
Final Date: January 21st
Exam/Quiz Makeup Policy: Exam/Quiz makeups will only
be given for University Excused
Absences. Any student with a valid reason to be excused from an
exam must contact me prior to the exam, either by email or by phone
(leave a message at 301.405.5047),
and present documentation at the next class session attended. If you
need to be excused for a religious observance, you should let me know
as soon as possible, but in any case no later than the end of the
schedule adjustment period.
You can find old exams for MATH310 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. For the take home exams, you are on your honor not to use outside help or materials - i.e., just you, your brain, pencil and paper, and to complete the exam in one hour. Your goal is to test yourself to determine whether you know the material well enough to take an exam on it. Taking more time or getting help from others will only hurt you in the long run, since you will not know whether you can do the material yourself.
Homework Assignments:
Homework will be assigned and due daily. I expect to assign somewhere between 10 and
16 problems each day. I will not collect odd problems (the solutions are
in the back), but other than that I will not specify in advance which
problems will be collected. For this reason and because there are multiple
graders each problem must be done on a separate page and you must include your name on each page. If you do not do this it will take longer for your homework to be graded and returned to you. Late homework will not be accepted. This course is very short, so don't get behind. Quiz and exam problems will be similar to assigned homework problems.
I reserve the right to make changes in the syllabus that I feel are necessary. These changes will be
announced in class and posted to the website. It is necessary to keep up with class work
and attend class every day. Extra help is available during my office hours and by appointment.
All assignments are tentative until given in class - you are responsible for checking this page or asking me for updates if you miss class.
| Date | Sections Covered |
| Jan 3 | 1.1-1.3, 1.6, 2.1, 2.2 |
| Jan 4 | 2.3-2.9 |
| Jan 5 | 2.10, 3.2, 3.3, read 3.4 and 3.5 |
| Jan 6 | 4.1, 4.3-4.5 |
| Jan 7 | 5.1, 5.2, 5.3, read 5.4, 5.5 |
| Jan 10 | 6.1, 7.2 |
| Jan 11 | 7.3, 9.1, 9.3 |
| Jan 12 | 9.4, 9.5, F-Ch 1 |
| Jan 13 | F-Ch 1, 2 |
| Jan 14 | F-Ch 2 |
| Jan 17 | MLK Holiday |
| Jan 18 | F-Ch 2 |
| Jan 19 | F-Ch 3 |
| Jan 20 | Review |
| Jan 21 | Final Exam |
| Assignment Date | Odd Assigned Problems | Even/Extra Assigned Problems | Due Date |
| Jan 3 | 1.1, 1.11, 1.19, 2.3 | 1.2, 1.8, 1.18, 1.20, 1.24, 1.52, 1.57, 2.2, 2.4, 2.8, 2.56 | Jan 4 |
| Jan 4 | 2.11, 2.15, 2.19, 2.31, 2.37, 2.39 | 2.10, 2.14, 2.16, 2.20, 2.24, 2.28, 2.30, 2.36, 2.40, 2.57 | Jan 5 |
| Jan 5 | 2.43, 2.51, 3.11, 3.17, 3.27 | 2.46, 2.48(a-h), 2.61, 3.6, 3.12, 3.16, 3.42, 3.46 | Jan 6 |
| Jan 6 | 4.3, 4.5, 4.25, 4.31 | 4.4, 4.18, 4.20, 4.30, 4.38, 4.50, 4.61, 4.66, 4.68 | Jan 7 |
| Jan 7 | 5.13, 5.27*, 5.33, 5.35 | 5.2, 5.4, 5.14, 5.16, 5.22, 5.32, 5.36, 5.38, 5.43, 5.45, 5.46 | Jan 10 |
| Jan 10 | 6.5, 7.7, 7.11, 7.13 | 6.4(1), 6.10, 6.18, 6.24, 6.38, 6.39, 7.4, 7.6, 7.8, 7.12 | Jan 11 |
| Jan 11 | 7.23, 7.27 | 7.24, 7.26, 7.32, 7.34, 7.44, 7.48, 7.66, 9.2, 9.4, 9.6, 9.12, 9.14 | Jan 12 |
| Jan 12 | 9.21, 9.29 | 9.20, 9.24, 9.28, 9.40, 9.48(a-f), 1.1: 2, 13, 14; 1.2: 1, 3, 4, 5 | Jan 13 |
| Jan 13 | (C)12.1: 12.3, 12.5, 12.31, 12.32, 12.39, 12.40 | 1.3: 8, 14; 2.1: 1, 2, 6, 7, 8, 11, 17; (C)12.1: 12.4, 12.6, 12.33, 12.41 | Jan 14 |
| Jan 14 | none | 2.2: 1, 2, 5; Hwk | Jan 18 |
| Jan 18 | none | 2.3: 1, 2, 3, 8; + Extra Hwk | Jan 19 |
| Jan 19 | none | 2.4: 1, 2, 7, 8; + number 2 and 3 on extra pdf | Jan 20 |