Math 415 Real Analysis I

Martin Flashman's Courses
MATH 415
Intro To Real Analysis I,Fall, 2008
Monday 7:00-8:20 pm BSS 313
Thursday 8:30-9:50 am BSS 211

WORK IN PROGRESS!

Some analysis links from the Distributed Encyclopedia of Sciences
Real Analysis: From Wikipedia, the free encyclopedia.

On Line textbooks:

Analysis WebNotes by John Lindsay Orr
Interactive Real Analysis by Bert G. Wachsmuth
A First Analysis Course by John O'Connor

Last updated:6/15/08
Back to Martin Flashman's Home Page :)

Fall, 2008          COURSE INFORMATION                           M.FLASHMAN
MATH 415 : Real Analysis I                      TBA ROOM:TBA
OFFICE: BSS 356                                           PHONE:826-4950
Hours (Tent.): TBA AND BY APPOINTMENT or chance!
E-MAIL: flashman@humboldt.edu
WWW: http://flashman.neocities.org/
***PREREQUISITE: Math 240 and Math 241 OR permission.

Catalog Description: MATH 415 - MATH 416. Introduction to Real Analysis (4-3) FS. Real numbers, metric spaces, topology of Euclidean space, sequences, series, continuity, implicit and inverse functions, differentiation, integration, series of functions, and uniform convergence. Prereqs: MATH 210, 240 (343 strongly recommended); MATH 415 for 416.
SCOPE: This course will cover foundational issues in the analyis of real numbers and functions for real numbers. We will examine informally and formally theorems and theories for limits, continuity, differentiability and integrability. Supplementary readings and materials will be supplied as appropriate, as well as edited class notes on line.We will cover material primarily associated with chapters TBA but other sections from the text will be treated when relevant as time permits.
TESTS AND ASSIGNMENTS:

Homework may not be accepted after 5 pm on the due date.

a special "partnership" assignment

The Mid-term Exam will be a take-home examination announced at least one week in advance.
THE FINAL EXAMINATION WILL BE SELF SCHEDULED.
The final exam will be comprehensive, covering the entire semester.
BECAUSE OF THE INTENSE NATURE OF THIS COURSE, MAKE-UP TESTS WILL NOT BE GIVEN EXCEPT FOR VERY SPECIAL CIRCUMSTANCES!
It is the student's responsibility to request a makeup promptly.

Partnership Activities: Partnerships of 2 or 3 members will work on some activites jointly. Every two weeks your partnership will submit a summary of what we have covered in class. (No more than two sides of a paper.) These may be organized in any way you find useful but should not be a copy of your class notes. I will read and correct these before returning them. Partners will receive corrected photocopies.

Your summaries will be allowed as references for part of the final examination only.

GRADES: Final grades will be determined taking into consideration the quality of work done in the course as evidenced primarily from the accumulation of points from the various assignments.

The quizzes will be worth a total of 60 points.
The Midterm exam will be worth 100 points, the partnership assignment will be worth 50 points, and the final exam will be worth 200 points.
The work on the bi-weekly summaries will be used to determine 40 points .
Homework performance will count for 100 points.


Homework	100
Summaries	40
Partnership	50
Midterm Exam	100
Quizzes	60
Final Exam	200
Total	550

The total points available for the semester is 550. Notice that only 360 of these points are from tests, so regular participation is essential to forming a good foundation for your grades as well as your learning.

•Students with Disabilities: Persons who wish to request disability-related accommodations should contact the Student Disability Resource Center in House 71, 826-4678 (voice) or 826-5392 (TDD). Some accommodations may take up to several weeks to arrange. http://www.humboldt.edu/~sdrc/
•Add/Drop policy: ** See the University rules and dates related to the following:

No drops will be allowed without "serious and compelling reasons" and a fee after this date.
No drops allowed after this date.
Students wishing to be graded with either CR or NC should make this request using the web registration procedures.

Students are responsible for knowing the University policy, procedures, and schedule for dropping or adding classes. http://www.humboldt.edu/~reg/regulations/schedadjust.html
•Emergency evacuation: Please review the evacuation plan for the classroom (posted on the orange signs) , and review http://studentaffairs.humboldt.edu/emergencyops/campus_emergency_preparedness.php for information on campus Emergency Procedures. During an emergency, information can be found campus conditions at: 826-INFO or http://www.humboldt.edu/emergency
•Academic honesty: Students are responsible for knowing policy regarding academic honesty: http://studentaffairs.humboldt.edu/judicial/academic_honesty.php or http://www.humboldt.edu/~humboldt/catalogpdfs/catalog2007-08.pdf
•Attendance and disruptive behavior: Students are responsible for knowing policy regarding attendance and disruptive behavior: http://studentaffairs.humboldt.edu/judicial/attendance_behavior.php

TECHNOLOGY: The computer will be used for some problems. Students wishing help with any graphing calculator should plan to bring their calculator manual with them to class. Computer software would also be useful. Some free online resources will be posted on Moodle.
Here are some on-line tools:

Daniel Solow's links about thinking and structure in Mathematics (aimed at Linear Algebra but more general than that!)

REASONING

an explicit discussion of general thinking processes that arise in all advanced mathematics courses. These thinking processes

include:

Closed-form Solutions	Numerical-method Solutions
(closed.html or closed.pdf)	(numer.html or numer.pdf)

Unification	Generalization
(unifica.html or unifica.pdf)	(general.html or general.pdf)

Abstraction	Axiomatic Systems
(abstr.html or abstr.pdf)	(axiom.html or axiom.pdf)

Proof Techniques	Understanding Definitions
(proof.html or proof.pdf)	(def.html or def.pdf)

Identifying Similarities and Differences	Translating Visual Images to Symbolic Form
(simdif.html or simdif.pdf)	(trans.html or trans.pdf)

Still in development! I may suggest using some of the Real Analysis Interactive Exercises from WIMS at wims.unice.fr

Back to Martin Flashman's Home Page :)

Martin Flashman's Courses MATH 415 Intro To Real Analysis I,Fall, 2008Monday 7:00-8:20 pm BSS 313 Thursday 8:30-9:50 am BSS 211

WORK IN PROGRESS!

Martin Flashman's Courses
MATH 415
Intro To Real Analysis I,Fall, 2008
Monday 7:00-8:20 pm BSS 313
Thursday 8:30-9:50 am BSS 211