# Subjects: mathematics, physics, AI & ML — ManySpace Canonical: https://manyspace.aporia.systems/subjects Updated: 2026-10-13 Subjects mapped as one prerequisite graph: every course, every topic and what each one needs first. ## [Mathematics](https://manyspace.aporia.systems/subjects/mathematics) - [Arithmetic](https://manyspace.aporia.systems/subjects/mathematics/arithmetic-18) - [Pre-Algebra](https://manyspace.aporia.systems/subjects/mathematics/pre-algebra-19) - [Algebra I](https://manyspace.aporia.systems/subjects/mathematics/algebra-i-20) - [Euclidean Geometry](https://manyspace.aporia.systems/subjects/mathematics/euclidean-geometry-21) - [Algebra II](https://manyspace.aporia.systems/subjects/mathematics/algebra-ii-22) - [Mathematical Logic](https://manyspace.aporia.systems/subjects/mathematics/mathematical-logic-25) - [Precalculus](https://manyspace.aporia.systems/subjects/mathematics/precalculus-24) - [Set Theory Foundations](https://manyspace.aporia.systems/subjects/mathematics/set-theory-foundations-26) - [Trigonometry](https://manyspace.aporia.systems/subjects/mathematics/trigonometry-23) - [Calculus I](https://manyspace.aporia.systems/subjects/mathematics/calculus-i-29) - [Calculus II](https://manyspace.aporia.systems/subjects/mathematics/calculus-ii-30) - [Discrete Mathematics](https://manyspace.aporia.systems/subjects/mathematics/discrete-mathematics-28) - [Linear Algebra](https://manyspace.aporia.systems/subjects/mathematics/linear-algebra-31) - [Proof Techniques](https://manyspace.aporia.systems/subjects/mathematics/proof-techniques-27) - [Differential Equations (ODE)](https://manyspace.aporia.systems/subjects/mathematics/differential-equations-ode-33) - [Multivariable Calculus](https://manyspace.aporia.systems/subjects/mathematics/multivariable-calculus-32) - [Number Theory](https://manyspace.aporia.systems/subjects/mathematics/number-theory-36) - [Optimization](https://manyspace.aporia.systems/subjects/mathematics/optimization-37) - [Probability](https://manyspace.aporia.systems/subjects/mathematics/probability-34) - [Statistics](https://manyspace.aporia.systems/subjects/mathematics/statistics-35) - [Abstract Algebra](https://manyspace.aporia.systems/subjects/mathematics/abstract-algebra-39) - [Complex Analysis](https://manyspace.aporia.systems/subjects/mathematics/complex-analysis-40) - [Game Theory](https://manyspace.aporia.systems/subjects/mathematics/game-theory-50) - [Numerical Analysis](https://manyspace.aporia.systems/subjects/mathematics/numerical-analysis-41) - [Real Analysis](https://manyspace.aporia.systems/subjects/mathematics/real-analysis-38) - [Differential Geometry](https://manyspace.aporia.systems/subjects/mathematics/differential-geometry-46) - [Dynamical Systems](https://manyspace.aporia.systems/subjects/mathematics/dynamical-systems-47) - [Functional Analysis](https://manyspace.aporia.systems/subjects/mathematics/functional-analysis-45) - [Information Theory](https://manyspace.aporia.systems/subjects/mathematics/information-theory-49) - [Measure Theory & Lebesgue Integration](https://manyspace.aporia.systems/subjects/mathematics/measure-theory-lebesgue-integration-44) - [Partial Differential Equations](https://manyspace.aporia.systems/subjects/mathematics/partial-differential-equations-43) - [Stochastic Processes](https://manyspace.aporia.systems/subjects/mathematics/stochastic-processes-48) - [Topology](https://manyspace.aporia.systems/subjects/mathematics/topology-42) - [Advanced Combinatorics & Graph Theory](https://manyspace.aporia.systems/subjects/mathematics/advanced-combinatorics-graph-theory-59) - [Algebraic Geometry](https://manyspace.aporia.systems/subjects/mathematics/algebraic-geometry-55) - [Algebraic Topology](https://manyspace.aporia.systems/subjects/mathematics/algebraic-topology-52) - [Category Theory](https://manyspace.aporia.systems/subjects/mathematics/category-theory-54) - [Mathematical Physics](https://manyspace.aporia.systems/subjects/mathematics/mathematical-physics-57) - [Representation Theory](https://manyspace.aporia.systems/subjects/mathematics/representation-theory-51) - [Algebraic Geometry II](https://manyspace.aporia.systems/subjects/mathematics/algebraic-geometry-ii-56) - [Algebraic Topology II](https://manyspace.aporia.systems/subjects/mathematics/algebraic-topology-ii-53) - [Mathematical Physics II](https://manyspace.aporia.systems/subjects/mathematics/mathematical-physics-ii-58) ## [Physics](https://manyspace.aporia.systems/subjects/physics) - [Mathematical Tools for Physics](https://manyspace.aporia.systems/subjects/physics/mathematical-tools-for-physics-60) - [Classical Mechanics Foundations](https://manyspace.aporia.systems/subjects/physics/classical-mechanics-foundations-61) - [Fluid Mechanics](https://manyspace.aporia.systems/subjects/physics/fluid-mechanics-63) - [Oscillations & Waves](https://manyspace.aporia.systems/subjects/physics/oscillations-waves-62) - [Thermodynamics](https://manyspace.aporia.systems/subjects/physics/thermodynamics-64) - [Electricity & Magnetism](https://manyspace.aporia.systems/subjects/physics/electricity-magnetism-65) - [Optics](https://manyspace.aporia.systems/subjects/physics/optics-66) - [Advanced Classical Mechanics (Analytical)](https://manyspace.aporia.systems/subjects/physics/advanced-classical-mechanics-analytical-68) - [Special Relativity](https://manyspace.aporia.systems/subjects/physics/special-relativity-67) - [Atomic Physics](https://manyspace.aporia.systems/subjects/physics/atomic-physics-71) - [Molecular Physics](https://manyspace.aporia.systems/subjects/physics/molecular-physics-72) - [Nuclear Physics](https://manyspace.aporia.systems/subjects/physics/nuclear-physics-73) - [Quantum Mechanics](https://manyspace.aporia.systems/subjects/physics/quantum-mechanics-70) - [Statistical Mechanics](https://manyspace.aporia.systems/subjects/physics/statistical-mechanics-69) - [General Relativity](https://manyspace.aporia.systems/subjects/physics/general-relativity-76) - [Particle Physics](https://manyspace.aporia.systems/subjects/physics/particle-physics-75) - [Solid State & Condensed Matter](https://manyspace.aporia.systems/subjects/physics/solid-state-condensed-matter-74) - [Advanced & Specialized Physics](https://manyspace.aporia.systems/subjects/physics/advanced-specialized-physics-80) - [Cosmology](https://manyspace.aporia.systems/subjects/physics/cosmology-77) - [Quantum Field Theory](https://manyspace.aporia.systems/subjects/physics/quantum-field-theory-78) - [Advanced & Specialized Physics II](https://manyspace.aporia.systems/subjects/physics/advanced-specialized-physics-ii-81) - [Quantum Field Theory II](https://manyspace.aporia.systems/subjects/physics/quantum-field-theory-ii-79) ## [AI & ML](https://manyspace.aporia.systems/subjects/ai) - [Data and Representation](https://manyspace.aporia.systems/subjects/ai/data-and-representation-83) - [Foundations of Learning](https://manyspace.aporia.systems/subjects/ai/foundations-of-learning-82) - [Learning as Optimization](https://manyspace.aporia.systems/subjects/ai/learning-as-optimization-85) - [Linear Models: Regression](https://manyspace.aporia.systems/subjects/ai/linear-models-regression-84) - [Classification](https://manyspace.aporia.systems/subjects/ai/classification-88) - [Generalization and Model Selection](https://manyspace.aporia.systems/subjects/ai/generalization-and-model-selection-86) - [Learning Theory](https://manyspace.aporia.systems/subjects/ai/learning-theory-89) - [Probabilistic Machine Learning](https://manyspace.aporia.systems/subjects/ai/probabilistic-machine-learning-87) - [AI Foundations: Agents, Search, and Decisions](https://manyspace.aporia.systems/subjects/ai/ai-foundations-agents-search-and-decisions-92) - [Classical Machine Learning](https://manyspace.aporia.systems/subjects/ai/classical-machine-learning-90) - [Knowledge Representation, Reasoning, and Planning](https://manyspace.aporia.systems/subjects/ai/knowledge-representation-reasoning-and-planning-93) - [Unsupervised Learning](https://manyspace.aporia.systems/subjects/ai/unsupervised-learning-91) - [Neural Networks](https://manyspace.aporia.systems/subjects/ai/neural-networks-95) - [Probabilistic Graphical Models and Inference](https://manyspace.aporia.systems/subjects/ai/probabilistic-graphical-models-and-inference-94) - [Sequence Modeling](https://manyspace.aporia.systems/subjects/ai/sequence-modeling-96) - [Attention](https://manyspace.aporia.systems/subjects/ai/attention-98) - [Generative Models](https://manyspace.aporia.systems/subjects/ai/generative-models-100) - [Representation and Embeddings](https://manyspace.aporia.systems/subjects/ai/representation-and-embeddings-97) - [Transformers](https://manyspace.aporia.systems/subjects/ai/transformers-99) - [Fine-Tuning and Adaptation](https://manyspace.aporia.systems/subjects/ai/fine-tuning-and-adaptation-102) - [Language Modeling and LLMs](https://manyspace.aporia.systems/subjects/ai/language-modeling-and-llms-101) - [Natural Language Processing](https://manyspace.aporia.systems/subjects/ai/natural-language-processing-103) - [Retrieval and Grounding](https://manyspace.aporia.systems/subjects/ai/retrieval-and-grounding-104) - [Computer Vision](https://manyspace.aporia.systems/subjects/ai/computer-vision-105) - [Multimodal Learning](https://manyspace.aporia.systems/subjects/ai/multimodal-learning-107) - [Speech and Audio](https://manyspace.aporia.systems/subjects/ai/speech-and-audio-106) - [AI Agents](https://manyspace.aporia.systems/subjects/ai/ai-agents-109) - [Graph Machine Learning](https://manyspace.aporia.systems/subjects/ai/graph-machine-learning-110) - [Reinforcement Learning](https://manyspace.aporia.systems/subjects/ai/reinforcement-learning-108) - [Time Series and Forecasting](https://manyspace.aporia.systems/subjects/ai/time-series-and-forecasting-111) - [Causal Inference](https://manyspace.aporia.systems/subjects/ai/causal-inference-113) - [Evaluation](https://manyspace.aporia.systems/subjects/ai/evaluation-115) - [Production AI Systems](https://manyspace.aporia.systems/subjects/ai/production-ai-systems-114) - [Recommender Systems](https://manyspace.aporia.systems/subjects/ai/recommender-systems-112) - [Interpretability](https://manyspace.aporia.systems/subjects/ai/interpretability-116) - [Responsible and Reliable ML](https://manyspace.aporia.systems/subjects/ai/responsible-and-reliable-ml-117) - [Security and Privacy](https://manyspace.aporia.systems/subjects/ai/security-and-privacy-118)