Instructor: Ed
BuelerOffice: Chapman 301C. Office hours online.Phone: 474-7693eMail: elbueler@alaska.edu |
Class Time:
MWF 9:15--10:15 Brooks 104ACRN: 76579 Text: K. Ross, Elementary Analysis: The Theory of Calculus,2nd ed., Springer 2013 |

Course Web Site

Real analysis is a major milestone in the development of mathematics. It was built in the 19th century as the rigorous underpinning of the 17th century calculus, which was useful but suspect when examined closely.

Real analysis is a core discipline in modern mathematics, and central to a student's maturing understanding of mathematics. It is essential for much of applied mathematics including differential equations, approximation theory, fluid dynamics, and quantum physics. It is a major part of 20th century pure mathematics including functional analysis, differential geometry, and stochastic processes.

Assigned Work and Evaluation and Grade:

Exams/HomeworkHomework Midterm Exam I Midterm Exam II Final Exam: in-class take-home |
Percent of Grade 45% 50% 15% 15% 15% 10% 20% |
Datesweeklyin-class Wednesday 9 October in-class Wednesday 13 November Wednesday 18 December, 8--10 am due in my box 5:00 p.m., Thursday 19 December |

Based on your raw homework and exam scores, I guarantee grades according to the following schedule: 90 - 100 % =

The "W" designator, draft/re-draft of some homework, and LaTeX too: This will indeed be a writing-intensive course. Almost every problem will be a proof, and I'll grade the quality of the writing on every problem. This includes complete sentences, correct grammar, and appropriate writing style for the mathematical discipline.

On each homework assignment I will also circle one problem which will involve even more focus on both writing and mathematical quality. Each student will have a different problem circled. For that circled problem you will be required to write a LaTeX solution and submit it electronically. You may LaTeX all your homework, but I want all problems submitted on paper, with your circled problem also submitted electronically. I will grade your LaTeXed solution and return it with comments, both on the mathematical correctness and the writing. You'll resubmit the corrected version on paper. (The first assignment will be an exception. On A#1 everyone will LaTeX the same problem based on a known proof, just for practice.)