COVER ESSENTIAL SKILLS AND CONCEPTS

ONLINE RESOURCES IN BROOKLYN, NEW YORK

ONLINE RESOURCES

WE’RE EXPERIENCED PROFESSIONALS THAT HELP BRIDGE THE GAP BETWEEN ACADEMIA AND INDUSTRY

This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars.
Disclaimer:
Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.

ACTURIAL EXAM STUDY NOTES

Some study notes I made in preparation for the actuarial exam (P). Covers dicrete, continuous probability, expectation, random variables, and contains a summary of important distributions and their applications.

CONVERGENCE OF STOCK PRICES

The Convergence of Stock Prices Modeled as a Sequence of Binomial Models to the distribution of Geometric Brownian Motion.

FUNDAMENTAL INEQUALITIES AND MORE

Fundamental Inequalities, Convergence and the Optional Stopping Theorem for Continuous-Time Martingales.

PRODUCT MEASURES LECTURE

A lecture I gave on product measures. Gives detailed proofs of Fubini and Tonelli.

KATZNELSON CHAPTER 1.1 SOLUTIONS

Solutions to Katznelson Chapter 1.1. Still can’t figure out #15 though; if you have, let me know!

EDGEWORTH EXPANSION AND CONVERGENCE THEOREM

The Edgeworth Expansion and Convergence in the Central Limit Theorem.

STOCHASTIC INTEGRATION & VARIANCE/COVARIANCE PROCESSES

Some thorough notes on stochastic integration, and some on variance/covariance processes. Based on Durrett’s book, Stochastic Calculus, and corrects many [if not all] of the mistakes. There may be some mistakes of my own; corrections welcome!

NOTES ON STOCHASTIC ANALYSIS ON MANIFOLDS

Some notes on stochastic analysis on manifolds based on Elton Hsu’s book. I’ve tried to fill as many gaps in the proofs as I can. Please let me know if I have any myself so I can fix it.

CORNELL MATH 4340 COURSE SOLUTIONS FROM SPRING 2006

Course solutions to Cornell Math 4340 – Honors Introduction to Algebra, Spring 2006.

Preliminary Exam 1

Preliminary Exam 2

Miscellaneous Problems from Group Theory

MATHEMATICAL STATEMENTS AND THEOREMS

This is a collection of mathematical statements/theorems with proofs I’ve accumulated over my four years at Duke. Some are problems from textbooks, others are things I’ve thought about and decided they warranted TeX’d up proofs. They’re divided into geometry, analysis, and probability/stochastic processes. Contain a number of [I think] useful proofs, such as equivalence of norms on R^n, proof of Kolmogorov’s continuity theorem, non-existence of Lebesgue measure in infinite dimensions, and important identities of metrics and connection coefficients. Corrections welcome!

TURNING A DISCRETE MARKOV CHAIN INTO A CONTINUOUS ONE

An interesting problem I stumbled upon in exploring what happens when one tries to make a discrete Markov Chain into a continuous one.

DUKE MATH 601 COURSE SOLUTIONS FROM FALL 2006

Course solutions to Duke Math 601 – Groups, Rings and Fields, Fall 2006 (Using Michael Artin’s book, Algebra) Homework 1 Homework 2 Homework 6 Homework 8 Homework 9 Homework 11 Homework 12 Homework 13 Homework 14

Personalize your learnings with tutoring course's

This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminarsSome links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
This is where I keep mathematical material that have at some point been TeX’d up. Among them include solutions to problems from various books, notes for my own personal use, and lectures for seminars Some links below are to solutions prepared by Prakash Balachandran for coursework done at Duke/Cornell University. They are intended for academic use only. They are to be used as reference only. Please, do not copy solutions and submit them as your own. I make no guarantee as to their correctness, but if errors are found, I would appreciate notice by email. These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me.
Tutoring in Brooklyn, New York | The Integral Factor | Rates

The Integral Factor

Quick Links

Services

LEARN MORE NOW

Ask For Information
Contact Us
© Copyright 2023 | Designed By The Integral Factor