Structured theory and foundational curricula across 110+ courses spanning sciences, computing, robotics, and humanities.
Sets, logic, number systems, and basic proof techniques
Polynomials, trigonometry, vectors, and analytic geometry
Limits, continuity, derivatives, and optimization
Integrals, series, partial derivatives, and vector calculus
Vector spaces, matrices, eigenvalues, and SVD
Random variables, distributions, estimation, and hypothesis testing
Combinatorics, graph theory, recurrence relations, and boolean algebra
Units, dimensional analysis, vectors, and physical measurements
Newton's laws, energy, momentum, rotational dynamics, and gravity
Electric fields, Gauss's law, circuits, magnetic induction, and Maxwell's equations
Harmonic motion, wave interference, diffraction, and optical systems
Temperature, laws of thermodynamics, entropy, and kinetic theory
Special relativity, photoelectric effect, wave-particle duality, and Schrodinger equation
Stoichiometry, states of matter, solutions, and chemical reactions
Electron configurations, periodic trends, VSEPR theory, and MO theory
Hydrocarbons, functional groups, reaction mechanisms, and stereochemistry
Coordination compounds, transition metals, and crystal field theory
Chemical kinetics, equilibria, electrochemistry, and thermodynamics
Polymers, ceramics, semiconductors, and chemical engineering processes
Characteristics of life, chemical basis of biology, and scientific method
Membrane transport, cell division, Mendelian inheritance, and gene mapping
DNA replication, transcription, translation, and gene regulation
Nervous system, cardiovascular dynamics, immunology, and homeostasis
Natural selection, population dynamics, ecosystems, and biodiversity
Recombinant DNA, PCR, CRISPR gene editing, and gel electrophoresis
Syllogistic logic, propositional calculus, cognitive perception, and formal reasoning
Microeconomics, macroeconomics, supply/demand, and market dynamics
Social structures, culture, institutions, and Indological heritage
Global agricultural revolutions, industrialization, and modern geopolitical history
Political theory, constitutional frameworks, democracy, and international relations
Formal language, logical fallacies, moral philosophy, and public rhetoric
Geomorphology, spatial mapping, cartography, and satellite imagery
Orbital dynamics, stellar astrophysics, telescopes, and space observation