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| Textbook: |
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| "Calculus in Vector Spaces" Lawrence J. Corwin and Robert H. Szczarba |
| Course head: |
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| Course assistants: | |
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Jonathan Kaplan Office: 428b Science Center Email: jkaplan@math.harvard.edu Office hours: Thursday 3-4 |
Robert Neel Office: 428d Science Center Email: rwneel@math.harvard.edu Office hours: Thursday 4-5 |
| Problem sessions: |
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| There will be one problem session Tuesday from 3-4 in Room 304 (led by Jonathan), and one problem session Wednesday from 3-4 in Room 310 (led by Robert). |
| Topics: | |
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The course 23a, which meets for lectures on MWF at 11 A.M. covers three
main topics:
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The course 23b covers three main topics:
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| Homework: |
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| The make -up misterm is now available. You can download it in any of the following formats: Also, you can click here for a complete list of past problem sets. |
| Solutions to the homework: |
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| The solutions to the final exam are now available. You can download them in any of the following formats: Also, you can click here for a complete list of past solutions. |
| Lecture Summaries: |
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| A summary of the lectures on compactness from Friday, November 3 and Monday, November 6 is now available. It covers material not well covered in the book. You can download it in any of the following formats: Also, you can click here for a complete list of past lecture notes. |
| What is Mathematics 23? |
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| Mathematics 23 is a new honors course, specifically designed for students with strong mathematics backgrounds who are seriously interested in continuing in the theoretical sciences. The prerequisites are Mathematics 1b or a grade of 4 or 5 on the Calculus BC Advanced Placement Examination. Taking 23a and 23b satisfies the same requirements as Math 21a and 21b, or 25a and 25b. The main goals of the course 23a-b is |
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| The course is less abstract then 25 - neither the concept of a general metric spaces nor the concept of a manifold will be dealt with. |
| This course has a double goal-to help you master this particular material and to teach you to carry out rigorous arguments in general. During the lectures I will sometimes only outline the ideas and leave for you the task of filling the details. If you have any difficulties please do not hesitate to ask questions [either during the lecture or afterwards]. |
| Exams and Homework: |
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| You must give exact answers on homeworks and exams (unless you are specifically told to find an approximate solution). |
| Calculators are not used in this course; they are not needed to solve any homework or exam problems, and their use is not permitted on exams or homework. Your homework and exam solutions must show your work and you must justify why your answer is correct, using ideas and methods taught in class and calculations that you write out in detail. Your solutions can not depend upon or make any reference to machine computation. Answers given without any explanation or justification will receive no credit. |
| You can work as a group on a solution of homework problems but each one should write the solutions on his/her own. |
| Homework will be assigned each Wednesday . It is due at the beginning of the lecture on the next Wednesday .It will be graded by the Course Assistant and returned to you at the lecture after that. There are two take-home Midterms exams, and there is 3-hour final exam both in the Fall and the Spring semesters.. |
| Grades: |
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| The two Midterms exams are each worth 1/6 of your grade, and the final exam is worth 1/3 of your grade. The remaining 1/3 of your grade will be based on your homework. When computing your final grade, your lowest homework grade will be dropped. |
| Late Homework Policy |
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| Late homework will not be accepted for any reason, and will be given a grade of 0. It is absolutely essential that homework be done in a timely manner, or else the educational value of the homework is lost. Also, by not allowing late homework, weekly homework solutions will be able to be posted earlier than would otherwise be possible. If you have to miss a class, it is your responsibility to make sure that the grader receives your homework on time. |
| The internet |
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| Homework solutions, exam reminders, and other course announcements will be posted here later. |
| Solutions to assignments will be posted also on the web, within one week after the assignment is given. |