Axiom Tutor

University Math, CompSci, Stats, Logic

Professional tutoring service offering individualized, private instruction for college students.  Professional with an advanced degree from Columbia University.  Mathematics, logic, computer science, statistics, physics, real analysis, discrete math, linear algebra, combinatorics, and chemistry.

Real Analysis Tutoring

One of the subjects that I am most specialized in, is real analysis. This includes introductory mathematical analysis, like the content of the textbook, Principles of Mathematical Analysis, by Walter Rudin.

I’ve tutored this subject for about 20 different students, some of whom attended Columbia University, UF, USC, NYU, UCLA, and the Stanford Online High School.

You can find my five-star rating and student reviews at my WyzAnt profile here: https://www.wyzant.com/Tutors/addem

I offer tutoring for the following related course titles:

  • Real analysis 1 and 2

  • Measure theory

  • Advanced calculus

  • Modern analysis

I am also developing my own presentation of real analysis 1, at the following online textbook:

https://www.notion.so/axiomtutor/The-Real-Analysis-Minute-2154b66370fd806a84a0d4dc893f6575?source=copy_link

Specific topics include

  • The construction of the real numbers by Dedekind cuts or Cauchy sequences.

  • The complete ordered field axioms.

  • Metric spaces

  • Topology

  • Limits and continuity

  • The Bolzano-Weierstrass theorem

  • The IVT (Intermediate Value Theorem)

  • Differentiation

  • The MVT (Mean Value Theorem)

  • Riemann integration

  • Uniform convergence and uniform continuity

  • The FTC (Fundamental Theorem of Calculus)

  • Multivariable integration and differentiation

  • Stokes’ theorem

  • Measure spaces

  • Sigma algebras (sigma fields)

  • Measurable functions

  • Integration theory

  • The MCT (Monotone Convergence Theorem) and Fatou’s lemma

  • Differentiation

  • \(L^p\) spaces

If you’re interested in this service, please follow this link to my Contact form. I’m located near Suwanee and Cumming, Georgia. I often hold meetings at the Sharon-Forks Library, so if you’re interested in related subjects and you’re in this area, then in-person meetings are possible!

See my Subjects for more subjects that I can tutor!