Category Archives: Mathematics

There is a lot of sites online showing you how to find cube root of a perfect cube, provided the cubic root is less than 1000. This method requires the memorization of 10 cubes from 1 to 10. This is … Continue reading →

Professor: Thea Pignataro Read Ross secs 13, 21 & 22. Review linear algebra: Subspace, spanning set, linear independence, dimension, basis, kernel, range, std. basis, affine subspace. Prof's notes on http://1drv.ms/1KlFihR, mirror: link1 Sec. 1.6 Def: a normed real vect. space. (Theorem … Continue reading →

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 →

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 →

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 →

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 →

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 →

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 →