A student-built Obsidian vault for mastering physics and math. Dive into clear notes on classical physics, calculus, linear algebra, and more with diagrams, intuition & helpful resources >[!quote]  > [!info] Quick Links > ➤ [[Home#Explore Mathematics|Explore Mathematics ]] > ➤ [[Home#Explore Physics|Explore Physics]] > ➤ [[How to Use This Site|How to Use This Site]] # Explore Mathematics Build a solid foundation in mathematics through clear, structured notes. From logic and proofs to calculus and linear algebra, each topic is explained step-by-step with examples and diagrams to help you understand the ideas behind the formulas. ## Linear Algebra Covers core linear algebra 1 materials with an emphasis on deriving or proving results - [[▹ Euclidean Vector Spaces]] - Explores vector spaces equipped with a dot product, allowing measurement of angles and lengths - [[▹ Properties of Matrices]] - (**New!**) Index of fundamental matrix properties, such as rank, dimensions, and transposing - [[▹ System of Linear Equations]] - (**New!**) Organizes core concepts related to solving linear systems, including row operations, consistency, and solution sets > [!warning]- More Notes? New notes are being created and will be pushed in the coming updates. Stay up-to-date by starring the [Github Repo](https://github.com/rajeevphysics/Obsidian-MathMatter) ## Calculus Covers core calculus 1 materials with proofs of some concepts. - [[▹ Counting]] - Hub page listing combinatorics topics such as factorials, permutations, combinations, Pascal’s triangle, and the binomial theorem - [[▹ Derivatives]] - Central index for all derivative content, like rules, proofs, geometric interpretations, and applications - [[Limits (Index)]] - Portal to limit concepts and techniques such as epsilon-delta definition, analytical rules, and limit theorems - [[▹ Logic]] - Overview of logical foundations from real numbers, greatest common denominator, and conditional statements - [[▹ Simple Geometry]] - Hub of simple geometry definitions and proofs - [[▹ Proofing Methods]] - Guide to proof methods like direct proof, proof by contradiction and proof by contraposition > [!warning]- More Notes? New notes are being created and will be pushed in the coming updates. Stay up-to-date by starring the [Github Repo](https://github.com/rajeevphysics/Obsidian-MathMatter) # Explore Physics Discover the principles that govern the physical world. Explore mechanics, electricity, magnetism, and more through detailed derivations, intuitive explanations, and visual aids that connect theory to real-world understanding. ## Classical Physics Covers core physics 1 & 2 materials from first-year calculus-based courses. Emphasis on derivations of concepts and key equations. - [[▹ Circuits]] - Hub for circuit theory covering components, laws (KCL/KVL), and analysis techniques - [[▹ Dynamics]] - Central index for mechanics topics such as motion, forces, Newton’s laws, and related theorems - [[▹ Electricity]] - A portal to electrostatics surrounding topics like charge, electric fields, potential, and related concepts - [[▹ Energy & Work]] - Guide to energy concepts and work topics definitions, work–energy theorem, and power - [[▹ Kinematics]] - Cover the core kinematic quantities such as displacement, distance, velocity, speed, and acceleration - [[▹ Magnetism]] - (Notice)* Overview of magnetic fields and interactions, including forces on moving charges - [[▹ Rotational Mechanics]] - (**New!**) Comprehensive index for rotational topics like torque, moment of inertia, angular kinematics, and energy - [[▹ Sound & Waves]] - (Notice)* Collection of wave phenomena like oscillations, wave propagation, sound properties, and applications - [[▹ Units & Dimensions]] - Gateway to SI units and dimensional analysis for units like newton, amp, joule, and coulomb > [!bug]- Notice of Notes * > Indices starred with * are going to be revised in the future. Stay up-to-date by starring the [Github Repo](https://github.com/rajeevphysics/Obsidian-MathMatter) to keep up to date on new notes. **You can still use these notes, but they may have grammar mistakes or be hard to understand** --- <!-- Light Mode Newsletter Embed --> <div class="mm-form-light"> <iframe src="https://updates.cyberleadhub.com/widget/form/Y0kpQVpjJQuxEfX59m17" id="inline-Y0kpQVpjJQuxEfX59m17" title="Join Math & Matter Newsletter (Light)" data-height="900" scrolling="no" allowtransparency="true" loading="lazy" style="width:100%;height:350px;border:none;border-radius:10px;background:transparent;overflow:hidden" ></iframe> </div> <!-- Dark Mode Newsletter Embed --> <div class="mm-form-dark"> <iframe src="https://updates.cyberleadhub.com/widget/form/lbeDLm24VjuaFxhjccA1" id="inline-lbeDLm24VjuaFxhjccA1" title="Join Math & Matter Newsletter (Dark)" data-height="900" scrolling="no" allowtransparency="true" loading="lazy" style="width:100%;height:350px;border:none;border-radius:10px;background:transparent;overflow:hidden" ></iframe> </div> <script src="https://updates.cyberleadhub.com/js/form_embed.js"></script> --- # Site Information Core information of this site - [[Changelog]] - Highlights of changes to the website - [[How to Use This Site]] - A 3-minute read of the features of this website - [[License]] - Licensed under CC BY-NC-SA 4.0 - [[Purpose & About]] - About the creator of the page & purpose - [[References]] - Key reference for videos used in understanding materials or notes taken from sites - [[Support]] - Page for submitting errors & supporting future development - [[Privacy Policy]] - A notice of privacy statements and policies - [GitHub](https://github.com/rajeevphysics/Obsidian-MathMatter) - Github repository - [Obsidian](https://obsidian.md/) - Software for how notes are created