10

Asking random math educators about the policies of a specific graduate school makes absolutely no sense at all. The page you were looking at has this contact information at the bottom. Use it! Adolescence Mathematics Contacts 45 Columbus Avenue 2nd Floor New York, NY 10023 Tel: 212-636-6400 Fax: 212-636-7106 Email: gse_admiss@fordham.edu Dr. Alesia ...


8

In the US, the stereotypical "one year of calculus", means "calculus one" and "calculus two" (semester system). It would rather approximate what is in AP Calculus BC, except perhaps without graphing calculator use. It would include basic differentiation and applications of differentiation (max/min, rel. rates), integrals, special techniques of integration ...


7

1) Primarily I choose textbooks based on the needs of the class (and the students's backgrounds and goals) and what it is preparing for. For high school, if it's for AP tests or IB tests at the end of the year, I'll very likely try to find textbooks (or materials) that explicitly state they help prepare students for that. The best books contain questions ...


5

The Open Syllabus Project presents a large amount of data about books listed on syllabuses of courses taught around the world (especially in the USA and not only about math/science). I think that it is not possible to ensure that the presented textbooks are indeed the most adopted (or bought or sold or used or read). However, they probably are (at least) ...


5

For about 25 years, in upper-division undergrad as well as graduate courses, I have created notes to accompany all courses I give. Yes, this takes some energy. Also, by the time I started this, I'd been teaching such courses for almost 20 years, so had some experience. Especially after it became possible to create typeset notes as fast as one could type, ...


4

Search [mathematics.se] using the (reference-request) tag, and the (abstract-algebra) tag. There have been a number of posts, from students at various levels of study in abstract algebra, seeking text recommendations. One such post, mentions Lang's Algebra. It's a very thorough text (scan the Table of Contents here, but doesn't cover category theory ...


4

I teach at a community college, so all of what I have to say applies to the first two years of undergraduate study. I've been trying for years to get my department to consider OER (Open Educational Resources) aka books that are Creative Commons instead of copyright. Our students are usually on very tight budgets, and cheaper books means less hours at a low-...


4

Do statisticians use SQL in their work? Yes! I would say it is already prevalent. Four indications: One is how SQL queries are now easily accessed from within R: Database Queries with R. You are apparently already familiar with Python and SQL interfaces, e.g., SQLite. There is a DataCamp course Introduction to SQL. If you are on the job market as a ...


3

I've owned the revised first edition of Frankel's The Geometry of Physics: an Introduction at least since I was a graduate student. The texts I suggest in this answer are largely based on my personal library. Part I: Manifolds, Tensors, and Exterior Forms Contains 6 chapters which construct the canvas on which the later part of the text plays out. I'll ...


3

I taught myself the basic material from the first 6 chapters of the 2nd edition of Rotman's Advanced Modern Algebra, and I loved it and felt things were explained clearly. Earlier I had tried teaching myself out of Artin's Algebra but got stuck or spent too much time trying to understand with details of the wallpaper group (which in retrospect I wish I hadn'...


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