Graphics Library

239 SVG diagrams across all phases — visual explanations for math concepts.

Phase 0 — Arithmetic & Number Foundations

00-01 — Whole Number Arithmetic (view)
00-02 — Fractions (view)
00-03 — Decimals (view)
00-04 — Percentages (view)
00-05 — Integers And Directed Numbers (view)
00-06 — Powers And Roots (view)
00-07 — Ratios Rates And Proportions (view)
00-08 — Basic Number Theory (view)

Phase 1 — Algebra Foundations

01-02 — Linear Equations (view)
01-04 — Coordinate Geometry 2D (view)
01-05 — Linear Functions (view)
01-06 — Systems Of Linear Equations (view)
01-07 — Quadratic Expressions (view)
01-08 — Quadratic Equations (view)
01-09 — Polynomials (view)
01-10 — Exponentials And Logarithms (view)

Phase 2 — Geometry & Trigonometry

02-01 — Angles And Lines (view)
02-02 — Triangles (view)
02-03 — Polygons And Circles (view)
02-04 — Perimeter Area Volume (view)
02-05 — Pythagoras And Right Triangle Trig (view)
02-06 — Non Right Triangle Trig (view)
02-07 — Unit Circle And Radians (view)
02-08 — Trigonometric Functions (view)
02-09 — Trigonometric Identities (view)
02-10 — Vectors Basic (view)

Phase 3 — Functions & Advanced Algebra

03-01 — Functions (view)
03-02 — Transformations Of Functions (view)
03-03 — Polynomial Functions (view)
03-04 — Rational Functions (view)
03-05 — Exponential And Logarithmic Functions (view)
03-06 — Complex Numbers (view)
03-07 — Sequences And Series (view)
03-08 — Mathematical Induction (view)
03-09 — Binomial Theorem (view)
03-10 — Matrices Introduction (view)

Phase 4 — Calculus I: Single Variable

04-01 — Limits (view)
04-02 — Continuity (view)
04-03 — The Derivative (view)
04-04 — Differentiation Rules (view)
04-05 — Derivatives Of Elementary Functions (view)
04-06 — Implicit Differentiation (view)
04-07 — Applications Of Derivatives (view)
04-08 — Optimization (view)
04-09 — Lhopitals Rule (view)
04-10 — Newtons Method (view)

Phase 5 — Calculus II: Integration

05-01 — Antiderivatives (view)
05-02 — The Definite Integral (view)
05-03 — The Fundamental Theorem Of Calculus (view)
05-04 — Integration By Substitution (view)
05-05 — Integration By Parts (view)
05-06 — Trigonometric Integrals (view)
05-07 — Partial Fractions Integration (view)
05-08 — Improper Integrals (view)
05-09 — Applications Of Integration (view)
05-10 — Parametric Equations And Polar Coordinates (view)

Phase 6 — Calculus III: Multivariable

06-01 — Functions Of Several Variables (view)
06-02 — Limits And Continuity In Rn (view)
06-03 — Partial Derivatives (view)
06-04 — Tangent Planes And Linear Approximation (view)
06-05 — Chain Rule Multivariable (view)
06-06 — Directional Derivatives And Gradient (view)
06-07 — Optimization Multivariable (view)
06-08 — Lagrange Multipliers (view)
06-09 — Double Integrals (view)
06-10 — Double Integrals Polar Coordinates (view)

Phase 7 — Calculus IV: Vector Calculus

07-01 — Triple Integrals (view)
07-02 — Triple Integrals Cylindrical Spherical (view)
07-03 — Change Of Variables Jacobians (view)
07-04 — Vector Fields (view)
07-05 — Line Integrals (view)
07-06 — Greens Theorem (view)
07-07 — Curl And Divergence (view)
07-08 — Surface Integrals (view)
07-09 — Stokes Theorem (view)
07-10 — Divergence Theorem Gauss (view)

Phase 8 — Linear Algebra (Rigorous)

08-01 — Vector Spaces (view)
08-02 — Linear Independence And Basis (view)
08-03 — Linear Transformations (view)
08-04 — Matrices As Linear Transformations (view)
08-05 — Inner Product Spaces (view)
08-06 — Orthogonal Projections (view)
08-07 — Determinants Deep (view)
08-08 — Eigenvalues And Eigenvectors (view)
08-09 — Diagonalisation (view)
08-10 — Symmetric Matrices Spectral Theorem (view)

Phase 9 — Matrix Decompositions & Adv LA

09-01 — Lu Decomposition (view)
09-02 — Qr Decomposition (view)
09-03 — Singular Value Decomposition (view)
09-04 — Spectral Theorem Quadratic Forms (view)
09-05 — Matrix Norms And Conditioning (view)
09-06 — Cholesky Decomposition (view)
09-07 — Eigendecomposition Algorithms (view)
09-08 — Tensor Algebra Introduction (view)
09-09 — Numerical Linear Algebra (view)
09-10 — Matrix Calculus (view)

Phase 10 — Probability Theory

10-01 — Probability Foundations (view)
10-02 — Conditional Probability (view)
10-03 — Independence (view)
10-04 — Discrete Random Variables (view)
10-05 — Poisson Process And Distribution (view)
10-06 — Expectation Of Discrete Rvs (view)
10-07 — Continuous Random Variables (view)
10-08 — Normal Gaussian Distribution (view)
10-09 — More Continuous Distributions (view)
10-10 — Joint Distributions (view)

Phase 11 — Probability Theory II

11-01 — Expectation Continuous Rv (view)
11-02 — Covariance Correlation (view)
11-03 — Conditional Expectation (view)
11-04 — Transformations Random Variables (view)
11-05 — Order Statistics (view)
11-06 — Limit Theorems (view)
11-07 — Markov Chains Discrete (view)
11-08 — Markov Chains Continuous (view)
11-09 — Random Walks (view)
11-10 — Information Theory Connection (view)

Phase 12 — Statistics

12-01 — Descriptive Statistics (view)
12-02 — Sampling Sampling Distributions (view)
12-03 — Point Estimation (view)
12-04 — Mle (view)
12-05 — Moments Bayesian Estimation (view)
12-06 — Confidence Intervals (view)
12-07 — Hypothesis Testing Basics (view)
12-08 — Common Tests (view)
12-09 — Regression Linear (view)
12-10 — Anova (view)

Phase 13 — Information Theory

13-01 — Entropy (view)
13-02 — Conditional Entropy Chain Rule (view)
13-03 — Mutual Information (view)
13-04 — Kl Divergence (view)
13-05 — Cross Entropy Applications (view)
13-06 — Source Coding Theorem (view)
13-07 — Channel Capacity (view)
13-08 — Differential Entropy (view)
13-09 — Rate Distortion Theory (view)

Phase 14 — Optimization Theory

14-01 — Optimization Fundamentals (view)
14-02 — Gradient Descent (view)
14-03 — Variants Gradient Descent (view)
14-04 — Adaptive Learning Rate Methods (view)
14-05 — Second Order Methods (view)
14-06 — Convex Sets Functions (view)
14-07 — Convex Optimization Problems (view)
14-08 — Constrained Optimization Theory (view)
14-09 — Lagrangian Duality (view)
14-10 — Stochastic Nonconvex Optimization (view)

Phase 15 — Numerical Methods for ML

15-01 — Floating Point Arithmetic (view)
15-02 — Condition Stability (view)
15-03 — Automatic Differentiation (view)
15-04 — Backpropagation Implementation (view)
15-05 — Numerical Linear Algebra Ml (view)
15-06 — Mixed Precision Training (view)
15-07 — Gpu Computation Model (view)

Phase 16 — Neural Network Mathematics

16-01 — Perceptron Model (view)
16-02 — Activation Functions (view)
16-03 — Softmax Function (view)
16-04 — Loss Functions (view)
16-05 — Backpropagation Math (view)
16-06 — Gradient Flow (view)
16-07 — Weight Initialization (view)
16-08 — Regularization (view)
16-09 — Batch Normalization (view)
16-10 — Other Normalization Methods (view)

Phase 17 — Deep Learning Architectures

17-01 — Convolutional Neural Networks (view)
17-02 — Recurrent Neural Networks (view)
17-03 — Lstm Mathematics (view)
17-04 — Gru Mathematics (view)
17-05 — Residual Connections (view)
17-06 — Attention Mechanism (view)
17-07 — Scaled Dot Product Attention (view)
17-08 — Multi Head Attention (view)
17-09 — Transformer Architecture (view)
17-10 — Transformer Block Detailed (view)

Phase 18 — Large Language Model Mathematics

18-01 — Tokenization Mathematics (view)
18-02 — Embedding Layers (view)
18-03 — Positional Encodings (view)
18-04 — Rope Deep (view)
18-05 — Decoder Only Architecture (view)
18-06 — Pretraining Objective Mathematics (view)
18-07 — Scaling Laws (view)
18-08 — Inference Mathematics (view)
18-09 — Kv Caching (view)
18-10 — Transformer Variants Math Focus (view)

Phase 19 — Advanced LLM Mathematics

19-01 — Mixture Of Experts Deep (view)
19-02 — Attention Variants (view)
19-03 — Quantization Mathematics (view)
19-04 — Pruning (view)
19-05 — Knowledge Distillation (view)
19-06 — Speculative Decoding (view)

Phase 20 — Training & Fine-tuning Mathematics

20-01 — Learning Rate Schedules (view)
20-02 — Gradient Clipping (view)
20-03 — Batch Size Gradient Accumulation (view)
20-04 — Distributed Training Mathematics (view)
20-05 — Instruction Tuning Sft (view)
20-06 — Rlhf Mathematics (view)
20-07 — Dpo (view)
20-08 — Constitutional Ai Rlaif (view)
20-09 — Parameter Efficient Fine Tuning (view)

Phase 21 — Probability & Statistics for ML

21-01 — Bayesian Inference (view)
21-02 — Variational Inference (view)
21-03 — Markov Chain Monte Carlo Mcmc (view)
21-04 — Em Algorithm (view)
21-05 — Exponential Family (view)
21-06 — Causality And Causal Inference (view)

Phase 22 — Generative Models Mathematics

22-01 — Autoencoders (view)
22-02 — Variational Autoencoders Vaes (view)
22-03 — Generative Adversarial Networks Gans (view)
22-04 — Normalizing Flows (view)
22-05 — Score Based Generative Models (view)
22-06 — Diffusion Models Foundations (view)
22-07 — Diffusion Models Advanced (view)
22-08 — Autoregressive Models (view)
22-09 — Energy Based Models (view)
22-10 — Evaluation Of Generative Models (view)

Phase 23 — Reinforcement Learning Mathematics

23-01 — Markov Decision Processes Mdps (view)
23-02 — Bellman Equations (view)
23-03 — Dynamic Programming For Mdps (view)
23-04 — Monte Carlo Methods (view)
23-05 — Temporal Difference Learning (view)
23-06 — Q Learning (view)
23-07 — Deep Q Networks Dqn (view)
23-08 — Policy Gradient Methods (view)
23-09 — Proximal Policy Optimization Ppo (view)
23-10 — Advanced Rl (view)

Phase 24 — Information Geometry & Advanced Theory

24-01 — Fisher Information (view)
24-02 — Natural Gradient Descent (view)
24-03 — Neural Tangent Kernel Ntk (view)
24-04 — Manifold Hypothesis And Representation Geometry (view)
24-05 — Disentanglement And Representation Theory (view)
24-06 — Optimal Transport (view)

Phase 25 — Frontiers & Active Research Areas

25-01 — Mechanistic Interpretability (view)
25-02 — Sparse Autoencoders Saes (view)
25-03 — Grokking (view)
25-04 — Double Descent (view)
25-05 — Mode Connectivity And Loss Landscapes (view)
25-06 — Federated Learning (view)
25-07 — Differential Privacy (view)
25-08 — Adversarial Robustness (view)
25-09 — Continual Learning (view)
25-10 — Multimodal Models Mathematics (view)