Math 431: Real Analysis I                                                                                              2003

Real Analysis with Real Applications, Davidson & Donsig

 

Dr. Roland Minton, Trexler 270-G          375-2358, office hours 1M, 8:30T, 11W, 10:30Th

minton@roanoke.edu                               www.roanoke.edu/staff/minton/ccourse.html

 

Course Objectives: Understand the motivation, techniques and basic results of introductory real analysis. Appreciate the use of definitions and theorems to precisely determine what is known and what is unknown. Explore in depth the concepts of calculus and understand how they relate to each other. Extend the ideas of calculus to a wider range of functions.

 

Attendance Policy: Regular attendance is expected. You are responsible for everything done in class, through your attendance and sharing class notes with classmates. If you miss class, you are likely to miss important information that will affect your grade. At times, this course may be frustrating and confusing, but the process of helping each other overcome the momentary difficulties can make the course very rewarding. Part of attending class should be an after-class follow-up session of compiling new definitions, theorems and canonical examples.

 

Equipment: We will use calculators occasionally. We will use our brains extensively.

 

Academic Integrity: The college policy is fully supported. Tests are closed notes, closed book. Homework assignments may be discussed in class, and you are always encouraged to ask me for help. Otherwise, homework is to be your own work.

 

Study Problems: Problems will be assigned at the end of each section of the book. You are expected to attempt every problem before the next class and ask questions in office hours about those you do not understand. Study problems will indicate what you are responsible for on tests.

 

Daily Problems: At the end of most classes, you will be given a problem to be handed in the next class period. On these problems, you may trade ideas but not details. The write-up is to be your own work. These problems will be graded on a five-point scale.

 

Homework Problems: Homework problems to be turned in will be assigned throughout the term. You are to write these problems up as if you were preparing lecture notes for class. The grading will be more rigorous than on daily problems.

 

Tests: There will be three tests and a final exam. Each test will cover all material discussed since the previous test. Anticipated test dates are (F) 9/26, (F) 10/31 and (W)12/3. The exam is Monday, December 8, 8:30-11:30.

 

Make-ups: In case of sickness or scheduling conflicts, get in touch with me ASAP.

 

Grading: Two daily grades will be dropped, the remainder will count one test grade. One homework grade will be dropped, the remainder will count one test grade. The final exam counts one test grade. Grades may be curved up based on consideration of one unusually low test score or other extenuating circumstance.

 

            A :  93-100            A-:  90-92                B+:  87-89             B:83-86

            B-:  80-82              C+: 77-79                C :   73-76            C-: 70-72

            D+:  67-69             D:   63-66                D-:   60-62             F: below 60

 

Math 431 Information Sheet

 

Name:

 

Intended Major:

 

Hometown:

 

List any other theoretical math courses you have taken. Did you enjoy these courses?

 

 

 

 

 

 

 

 

 

 

 

 

 

How much experience do you have with proofs?

 

 

 

 

 

 

 

 

 

 

 

 

What is a proof? How much detail is necessary?