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Course Description. This course provides techniques of effective presentation of mathematical material. Each section of this course is associated with a regular mathematics subject, and uses the material of that subject as a basis for written and oral presentations. The section presented here is on chaotic dynamical systems.
- Papers
- Lectures
- Reviews
- Class Materials
Students must come to the first meeting with a draft of a ten-page paper having an adequate amount of technical mathematics, such as a term paper from an MIT subject or a research report from an REU or UROP. These drafts are revised through six or so, two-week cycles of three activities: 1. copy-editing by the instructors, 2. individual conferences...
Each first lecture must be on the subject of the student’s paper. The second and third lectures may continue the preceding one, or may be on an entirely different subject of the student’s choosing. The lectures are normally chalk talks, but may be overhead presentations, or a combination of the two. The lectures should be addressed to a general aud...
Each review must consist of two parts: 1. a technical summary of the contents of the lecture, and 2. a constructive critique of the delivery. Thus the audience is encouraged to pay close attention to the lecture, and then to reflect on its contents and on its presentation. Moreover, the writing process provides good basic exercise in both technical...
Resources for writing mathematics and learning LaTeX The writing resources above include the guide “Writing a Math Phase Two Paper.” To assess students’ reading of this guide, students were assigned this open-book take-home quizas homework. The “quiz” includes questions about how to write mathematics as well as samples of poorly-written sentences f...
Jun 23, 2020 · The best notation is no notation; whenever it is possible to avoid the use of a complicated alphabetic apparatus, avoid it. A good attitude to the preparation of written mathematical exposition is to pretend that it is spoken.
May 31, 2022 · Like most conventions, these are often determined by tradition or precedent. It can be quite difficult, initially, to determine whether your mathematical exposition meets the standards of your instructor. Practice, with feedback from a reader experienced in reading mathematics, is the best way to develop good proof-writing skills.
Mar 21, 2018 · The best notation is no notation; whenever it is possible to avoid the use of a complicated alphabetic apparatus, avoid it. A good attitude to the preparation of written mathematical exposition is to pretend that it is spoken.
Apr 14, 2014 · Think about and use with care the small words of common sense and intuitive logic, and the specifically mathematical words (technical terms) that can have a profound effect on mathematical meaning. Resist symbols. The best notation is no notation; whenever it is possible to avoid the use of a complicated alphabetic apparatus, avoid it.
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Aug 18, 2020 · (e.g., x;y;z, etc.), and symbols for sets (Q;R;Z, etc.). Here is an acceptable use of symbols in formal mathematical writing. Let A;B be two subsets of R. We say B dominates A if for every x 2A there exists y 2B such that y > x. Learn the etiquette. The above example also illustrates two common conventions of mathematical eti-quette.
