Blog (mostly math)

SDE-1 Software Development

Ref: Amazon Coursera Junior Software Developer Course. Link to the course: Link. ROUGH NOTES (!) Updated: 21/2/26 Course-1. Software Development Link to the course: Link. Java is a versatile, fast, and reliable programming language. It powers many things, from apps on your phone to big banks that manage your money. In this course we will... Read more

Open Mapping Theorem

Ref: Functional Analysis lectures by Casey Rodriguez. Lecture on the Open Mapping Theorem. Link to the lecture: Link. “Introductory Functional Analysis” by Kreyszig. Let ${ B _1, B _2 }$ be Banach spaces. Let ${ T \in \mathcal{B}(B _1, B _2) }$ be a continuous linear operator. Suppose ${ T }$ is bijective. Is ${ T }$ a ... Read more

Business-2 Finance-2

Ref: UPenn Coursera courses on Business. Link to UPenn Coursera page: Link. Link to UPenn MBA curriculum: Link. Link to UPenn Finance courses: Link. ROUGH NOTES (!) Updated: 16/2/26 Course-2: Introduction to Corporate Finance Instructor: Prof. Michael Roberts. Read more

Post

Speculation. The Brain partly runs a supervised learning algorithm. Having role models simplifies life. Read more

Markov Chains

Ref: “Discrete-Time Markov Chains and Monte Carlo Methods” by Jem Corcoran. Link to the Course: Link. ROUGH NOTES (!) Updated: 3/2/26 A stochastic process is a time indexed collection of random variables. For example, ${ X _0, X _1, X _2 \ldots . }$ For now, we will consider discrete time and discrete random variables. The random variable... Read more