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Mathematics is a universal language. Computer Science heavily relies on theory and mathematics. Mathematics like Calculus & Linear Algebra are the foundations and backbone of AI. This repo contains all of my 100DaysOfMaths Learning Journey.

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100 Days of Maths Challenge

Powered By Nōrai | AI & Education

Learning Today, Tomorrow, and Beyond!

Last year, I completed the FreeCodeCamp Machine Learning Tutorial and successfully finished my #100DaysOfLearning journey. During this process, I strongly realized that Mathematics is the true Backbone of AI. To further strengthen my skills and build a solid foundation, I am starting the #100DaysOfMaths challenge.

🚀 Challenge Start Date

📅 Start Date: 17th November 2024 (1st Mangsir, 2081)

🧮 Post will be uploaded only at twitter:

https://x.com/dilli_hangrae

📚 Focus Areas

In this challenge, I will be diving deep into three key areas of mathematics essential for AI:

  1. Calculus: Understanding derivatives, integrals, and optimization techniques for machine learning.
  2. Linear Algebra: Exploring vectors, matrices, eigenvalues, and their applications in AI algorithms.
  3. Probability & Statistics: Learning probability theory, distributions, hypothesis testing, and statistical methods to enhance data analysis and model evaluation.

🤝 Join Me! Before 16 Nov, 2024

If anyone is interested in joining this journey and learning together, I’d love to team up! Let’s make our math skills stronger and dive deeper into the foundations of AI. Together, we can share resources, solve problems, and motivate each other to stay on track.

🏷️ Hashtags

Feel free to use these hashtags while finding the progress:

  • #100DaysOfMaths
  • #100DaysOfMaths #100DaysOfSelfLearning #Maths

📈 Progress Tracking

📝 Daily Progress

Day Topic & Twitter Post
1 Introduction to Limits & Continuity: Fundamental of Calculus, https://x.com/dilli_hangrae/status/1857699039774708032
2 Limit of a function meaning of infinity, Infinity as a limit of a function, Limit theorems & visual plots, https://x.com/dilli_hangrae/status/1858000934187778437
3 Important theorem on limit and gradient descent visualizations, limit theorem examples, https://x.com/dilli_hangrae/status/1858425488286626133
4 Limits, Left-Hand and Right-Hand Limits, Existence of Limits, Trigonometric Limit sin_theta and cos_theta, examples, python visualizations on limits, https://x.com/dilli_hangrae/status/1858765255608070158
5 - Continuity: Intuitive Idea with rules, Discontinuities with its types, Visualizations of Discontinuities f(x), https://x.com/dilli_hangrae/status/1859086373602656554
6 - Continuity theorems and properties, continuity and discontinuity with numerical examples, https://x.com/dilli_hangrae/status/1859457655363993858
7 - Important theorem on limits logarithm & exponential functions e, Standard examples, Plots & Visualizations, https://x.com/dilli_hangrae/status/1859897454684213412
8 Precise Definition of Limit and advanc concept, https://x.com/dilli_hangrae/status/1860158625907638305
9 Precise Defintion of Limit with advance concept and graphs, https://x.com/dilli_hangrae/status/1860562541430358375
10 Advanced Concept on Precise definition of limit, Examples and Visual Plots, Basics of Inequalities with types, https://x.com/dilli_hangrae/status/1860986050245791837
11 Advanced Concept on Precise definition of limit, Theorems and limit as a continuous function Examples and Visual Plots, https://x.com/dilli_hangrae/status/1861361970576007244
12 Continuity Concepts and theorems,Intermediate Value Theorem https://x.com/dilli_hangrae/status1861710339747754415
13 Continuity Concepts and theorems , Intuitive Ideas & Examples on Continuity, Visual Plots, https://x.com/dilli_hangrae/status/1862042788390637999
14 Limit at infinity: Horizontal Asymptotes -ve ∞ to +ve ∞, Intro of Vertical Asymptotes, https://x.com/dilli_hangrae/status/1862336228495905139
15 Infinite Limits at Infinity & Limits at infinity, Examples and Theorems on Asymptotes, Visual Plots, https://x.com/dilli_hangrae/status/1862694849100873993
16 ϵ-N definition of limits at infinity (L±ϵ), Slant Asymptotes and Examples , Visual Plots, https://x.com/dilli_hangrae/status/1863143196995559431
17 Intuitive idea of function and definition, Vertical Line Test with examples, Visual Plots, https://x.com/dilli_hangrae/status/1863380565241569608
18 Odd & Even Symmetry f(x) & Piece-wise f(x), Linear Mathematical Model, Examples & Plots, https://x.com/dilli_hangrae/status/1863886493435249024
19 Composite Functions, Domain-Range and visual plots, https://x.com/dilli_hangrae/status/1864263763203117176
20 Derivative with uses & Intuitive idea, Tangents,Slope,Gradient Descent, Visual Plots, https://x.com/dilli_hangrae/status/1864631475741839414
21 Derivative Definition with intuitive ideas, Instataneous Velocity, Visual Plots, https://x.com/dilli_hangrae/status/1864926870715929041
22 Fundamental Formula of Differentiation, Relation between Continuous & Derivative, Visual Plots https://x.com/dilli_hangrae/status/1865269416260440324
23 Derivatives of Inverse Circular f(x), logarithmic f(x), 1st Principle of dx using Limit Theorem, https://x.com/dilli_hangrae/status/1865667384289226829
24 Derivatives Fundamentals Rules of Differentiation, Sum,Product,Quotient,Chain Rule, Gif & Visual Plots, https://x.com/dilli_hangrae/status/1866076377348547056
25 Derivatives for logarithm & hyperbola f(x), Tangent,slope,rate of change & Examples ,Visual Plots, https://x.com/dilli_hangrae/status/1866429360607269088
26 - Derivatives and Differentiable f(x), Review of Derivatives, Theorems & Examples, Visual Plots, https://x.com/dilli_hangrae/status/1866764220953661829
27 Derivatives (Implicit)dx, Extreme Value Theorem, Fermat's Theorem and Rolle's Theorem, Visual Plots, https://x.com/dilli_hangrae/status/1868293602386096619
28 Derivatives & Application,Mean Value Theorem, Fermat's Theorem and Rolle's Theorem, Visual Plots https://x.com/dilli_hangrae/status/1868615031673499930
29 Derivatives & Application, Geometric Mean Value Theorem, Conditions applied on MVT, Visual Plots, https://x.com/dilli_hangrae/status/1868998983320060312
30 Completion of 1st Phase, Revision of 1st Phase: Functions, Derivatives & Limits Applications ,Plots, https://x.com/dilli_hangrae/status/1869330560734392527

💬 Get Involved

Connect with me on social media or comment on my posts if you are interested in explore my learnings.

GitHub Clone:

git@github.com:Dilli822/100DaysOfMaths.git

Social Media:

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Mathematics is a universal language. Computer Science heavily relies on theory and mathematics. Mathematics like Calculus & Linear Algebra are the foundations and backbone of AI. This repo contains all of my 100DaysOfMaths Learning Journey.

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