Elizabeth Denne
Harvard University
Department of Mathematics
One Oxford Street
Cambridge, MA 02138, USA
Office: 535 Science Center
Telephone: (617) 495-2210
Fax: (617) 495-5132
E-mail: denne@math.harvard.edu
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MATH 25b

Honors Multivariable Calculus and Linear Algebra

Course Announcements

DateTimeAnnouncement
20th Jan 4:15pmCourse Announcements go here.

Essential information

Classes:MWF 10-11 in 411 Science Center
Course webpage:http://www.math.harvard.edu/~denne/teach/math25b.html
Instructor:Elizabeth Denne
Office hours:Mondays 1-3pm, Fridays 2-3pm and by appointment
Office:535 Science Center
Email:denne@math.harvard.edu
Phone:617 495 2210

Cool Stuff for Math 25'ers To Do

Go Team! Heather, Elizabeth and Matt are all running the Boston marathon. They are also raising money for charity. So sponsor your fellow classmates - Go Team! (Click on their names for details.)
2006 Harvard-MIT Math Tournament:HMMT is an annual math competition for high school students run by Harvard and MIT students. Intersted in writing up problems or helping out on the day (Feb 25, 2006)? See http://web.mit.edu/hmmt or email Elizabeth Goodman esqgoodm@fas.harvard.edu for more information.
Math Table:Each Tuesday undergraduates interested in mathematics eat dinner together in Mather house and hear a 30min math talk. Talk to Alison or Ivan about this or see http://www.math.harvard.edu/mathtable/index.html.
Numb3rs:TV show on CBS each Friday 10pm about a math professor from ''CalPsi'' help his brother in the FBI fight crimes using mathematics. (See also http://www.cbs.com/primetime/numb3rs/.) I'm personally very happy to see a mathematician on TV who is a) young b) not insane c) not wearing glasses and d) very cool.

Textbooks

Principles of Mathematical Analysis by Walter Rudin, third edition, published by McGraw-Hill.
Calculus on Manifolds by Michael Spivak.

Both of these are available from Harvard COOP, or from on-line bookstores.

The following texts are on reserve in Cabot library:
Principles of Mathematical Analysis by Walter Rudin, third edition, published by McGraw-Hill.
Calculus on Manifolds by Michael Spivak.

Course Assistants

Who:Alison Miller Ivan Corwin
Email:miller5@fas.harvard.educorwin@fas.harvard.edu
Office hours:TBA TBA
Problem Sessions:TBATBA

Course Summary and Course Outline

Summary: This course is a continuation of Math 25b. It contains a rigorous treatment of real analysis, multivariable calculus, differential forms and (time permtting) an introduction to manifolds. Emphasis is placed on careful reasoning, and on learning to understand and construct proofs. You should take this class if you are very interested in mathematics and want a thorough proof-based review of the topics before moving on to other mathematics. You will be required to work hard (at least 10 hours each week) during this course!

Outline: CLICK HERE for a day to day calendar of material covered in class. This page also contains the readings and references for each class.

Confused about which course to take?
CLICK HERE for an excellent description of the differences between Math 21, 23, 25 and 55.
In the end, you should take the course which challenges, but not overwhelms you. You should aim to find the classroom environment where you will produce your best work.

Grades, Attendance and other matters

Exams:1 midterm and 1 take home final exam.
Grading Policy: Homework 2/5; midterm 1/5; final exam 2/5.
The class will not be graded "on a curve": if everyone deserves an A, everyone will get an A.
Attendance: Attendance will not be taken at each class. However, it is much harder to learn the material on your own, so you are strongly encouraged to attend each class. You must attend the midterm and final exams. Make-up exams will only be given in special circumstances.
Problem Sessions:You should attend, each week, at least one of the problem sessions held by the course assistants.
Final exam:Take home exam done during reading week. Time, dates etc TBA.

Handouts

Homework Assignments

Assignment Date due Handed in? Returned? Solutions

Homework policy

Homework:Assignments are handed out each week. They will form an essential part of the course. The assignments and the dates they are due will be posted on the course website.
Submitting HW:Homework should be turned in to the course mailbox (outside 325 Science Center) by noon on the day that the assignment is due.
Late HW:Late homework will be accepted only in exceptional circumstances and only with prior approval.
HW grade:Your lowest homework score will be dropped at the end of the semester.
Working together:You are strongly encouraged to discuss the homework problems both with your fellow students and with the course assistants. However, you must write up your solutions by yourself. (Copying someone else's homework is unacceptable.) Collaborating on exams is not permitted.
Keeping the graders happy:To make the job of grading easier, could you please follow the following guidelines:
Write your name on your HW.
Neat, legible handwriting. We will not grade anything we cannot read!
Write on one side of the paper only.
The problems should be in the order assigned.
Staple (or paper-clip) all pages together.