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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 |
MATH 25bHonors Multivariable Calculus and Linear AlgebraCourse Announcements
Essential information
Cool Stuff for Math 25'ers To Do
TextbooksPrinciples 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
Course Summary and Course OutlineSummary: 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
Handouts |
| Assignment | Date due | Handed in? | Returned? | Solutions |
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| 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. | |
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| 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. |