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Jul 14, 2021 β€’ 15 tweets β€’ 4 min read β€’ Read on X
Wanna excel at Calculus for free?

A Mathematical Thread πŸ‘‡
Introductory Calculus by Dan Ciubotaru - Oxford Mathematics

An introduction to limits by Professor Leonard

Introduction to Functions by Professor Leonard

Single variable Calculus by MCW

Lecture 1:

Lecture 2:

Lecture 3:

Techniques of Differentiation (finding derivatives of functions easily) by Professor Leonard

Integral Calculus by Professor Strang at MCW

Definite integrals, the fundamental theorem of Calculus by Natalia Komarova at UCI Open

Strategy for Integration by Natalia Komarova at UCI Open

Improper Integrals by Professor Leonard

Finding area between two curved by Professor Leonard

Introduction to Differential equations by Professor Philip Maini at Oxford Mathematics

Differential equations, Initial value problems, Particular solutions, Types and Order of a differential equation, General and singular solutions, by The Math Sorcerer

Differential equation: Complete review course by The Math Tutor, highly recommended for the undergrad students.

Will add more references and links to physics and mathematical concepts and topics in the future posts. Thank you.

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More from @thePiggsBoson

Jul 12
15 most thought-provoking Paradoxes in Physics.

A thread 🧡
1. Fermi Paradox

Given that our star and Earth are part of a young planetary system compared to the rest of the universe β€” and that interstellar travel might be fairly easy to achieve β€” the theory says that Earth should have been visited by aliens already. Image
2. Boltzmann Brain

It's more likely for a single brain to spontaneously and briefly form in a void (complete with a memory of having existed in our universe) than it's for the universe to have come about as the result of a random fluctuation in a universe in thermal equilibrium Image
Read 19 tweets
May 11
On the occasion of Feynman's birth anniversary,

Here are all of his freely available lectures in one single thread πŸ‘‡ Image
The Feynman Lectures on Physics (Vols. I–III, text & HTML)

– Official Caltech site hosting the full, searchable New Millennium Edition in HTML.

feynmanlectures.caltech.edu/?utm_source=ch…
Audio Recordings of the 1961–64 Introductory Physics Course

– Raw tape recordings of Feynman’s original Caltech lectures, digitized for online listening.
feynmanlectures.caltech.edu/recordings.html
Read 8 tweets
Feb 17
Wanna learn and excel at Linear Algebra for free?

A Thread 🧡
Linear algebra is a fundamental tool in modern tech, especially in artificial intelligence (AI), data science, and computer graphics.
Core to Machine Learning & AI ✍️

β€’ Vectorised computations: ML models use matrices and tensors for efficient computation.

β€’ Linear regression: One of the most basic ML algorithms is grounded in linear algebra.
Read 15 tweets
Apr 26, 2023
Some of the Best online tools that you can use to learn Physics and Mathematics for free.

A Thread πŸ‘‡
Microsoft Math Solver (2/10)

An app that can solve math problems instantly! Just type, write, or take a picture of a problem, and it'll provide step-by-step solutions. Available for iOS, Android & web.

πŸ”—: math.microsoft.com
Photomath (3/10)

Snap a picture of a math problem, and this app will generate a step-by-step solution, plus a detailed explanation. Perfect for learning on-the-go! πŸƒβ€β™‚οΈ

πŸ”—: photomath.com
Read 12 tweets
Apr 22, 2023
Here are 10 Best Books on Scientific Philosophy.

A Thread πŸ‘‡ Image
1/ πŸ“˜"The Structure of Scientific Revolutions" by Thomas S. Kuhn

A cornerstone of scientific philosophy, Kuhn's groundbreaking work discusses how science progresses through a series of paradigm shifts. A must-read for understanding scientific progress.
amzn.to/3mXaJjk Image
2/ πŸ“˜ "Philosophy of Science" by Samir Okasha

New to scientific philosophy? Okasha's concise and accessible book is the perfect starting point. It covers key topics like scientific reasoning, theories, and the nature of scientific progress.
amzn.to/3oxWAcM Image
Read 14 tweets
Jan 20, 2023
1/n The Feynman Technique is a powerful method for learning and understanding complex concepts in physics and other fields. Named after physicist Richard Feynman, the technique helps to break down difficult concepts into simple, easy-to-understand language.

A Thread πŸ‘‡
2/n The basic idea behind the Feynman Technique is to explain a concept to yourself as if you were teaching it to someone else. By putting the concept into your own words, you are forced to actively engage with the material and identify any gaps in your understanding.
3/n To use the Feynman Technique, start by writing down the concept you want to understand in the center of a piece of paper. Then, write down any related concepts or terms around it.
Read 8 tweets

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