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# Category Archives: Mathematics

## The City College CUNY Class: MATH 34700 Modern Algebra

Professor: Benjamin Steinberg Syllabus HW must be from 8th edition of textbook. Set-builder notation. Empty set is contained in all sets. A = B, if {a,b,c} = {a,a,b,b,c,c,c} Theorems and Definitions of the text: (variables are generally assumed to be … Continue reading

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## The City College CUNY Class: MATH 39100 Methods of Differential Equations

Professor: Gennady Yassiyevich Variable of y will be t, not x, as standard notation. Ordinary Differential equation. y = y(t) Partial Differential equation (later this semester, used in theoretical physics, e.g. laplace, etc.) u = u(x,y). Example: . Def: The … Continue reading

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## The City College CUNY Class: MATH 32300 Advanced Calculus

Prof. Thea Pignataro Recommended higher level reading: Introductory Real Analysis, Kolmogorov & Fomin Also recommended any Dover Books (good classic texts) Review Chapter 1 as MATH 30800 Remaining notes by prof. online: http://1drv.ms/1KlFihR It seems that most parts of advanced … Continue reading

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## The City College CUNY Class: MATH 36500 Combinatorics

By Prof. Vladimir Shpilrain He walks out of class faster than we can say "Do we have syllabus?" Text: Kenneth Rosen's Discrete Mathematics and Applications Operations on sets: Symmetric difference of A and B: Non-deterministic infinite sequence: e.g. coin tosses. … Continue reading

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## Fun with Prime

It would appear that the mystery of prime gap is of interest to me for the distribution of primes. It seems that there's a pattern of gaps building up. While there have been many conjectures out there pertaining to the … Continue reading

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## The City College CUNY Class: MATH 30800 Advanced Math

Instructor: Gennady Yassiyevich Science: Inductive, Empirical, Scientific Method Math: Deductive, Rational, Axiomatic Method Natural numbers defined elegently by empty sets? 0 is in N here. ========= Logic: Statement (able to assign truth value) or closed sentence vs. open sentence: P(x) … Continue reading

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## Latex & MS Word Equation Tools

Time to learn LaTex and hotkeys for MS Word Equations. A very helpful site: Very elaborate tutorial. Though not complete, these are some lists of shortcuts for MS Word in PDF: shortkeys list #1, list #2, list #3, list #4 … Continue reading

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## A Briefing on Chess Openings

By Bill Wall: Here are some classifications of chess openings. Open games are usually double king pawn games (1.e4 e5). The most common response is 2.Nf3 (King's Knight Opening). However, White can play: 2.a3 - Mengarini's Attack 2.Bb5 - Portuguese … Continue reading

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## Another prized $1000 Math Problem: Happy Ending Problem

It's called the Happy Ending Problem: How many points for convex n-gon? If one can prove that A price of $1000 is awarded.

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## Smarter way to cut a cake

Taught by Francis Galton, the mathematician and polymath. Cut a slice across the entire cake, not a triangular pie. This keeps the cut side from drying.

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