Interactive STEM Curriculum Hub
Structured syllabus taxonomy for Math, Physics, and Chemistry. Every lesson includes masterclasses, KaTeX formula cheat-sheets, and active distractor autopsies.
Mathematics
4 Chapters · 100% Curriculum Weight
Sets, Logic & Inequalities
Set operations, Venn diagrams, necessary/sufficient conditions, quadratic & rational fractional inequalities, and AM-GM inequality.
Functions, Derivatives & Sequences
Domain & range, monotonicity, parity, exponential, logarithmic & power functions, derivatives, tangents, and AP/GP series.
Geometry & Algebra
Plane analytic geometry (lines, circles, ellipses, hyperbolas, parabolas), plane vectors, complex numbers, and 3D solid geometry.
Probability & Statistics
Counting principles, permutations $A_n^m$, combinations $C_n^m$, classical probability, conditional probability, discrete random variables, mean, variance, and normal distribution.
Physics
5 Chapters · 100% Curriculum Weight
Mechanics
Kinematics, Newton's laws, momentum conservation, work-energy, circular orbits, and mechanical waves.
Electromagnetism
Electrostatics, DC circuits, magnetic forces on charges/currents, and Faraday-Lenz electromagnetic induction.
Thermodynamics
Kinetic molecular theory of gases, ideal gas equation of state, and the First Law of Thermodynamics.
Optics
Geometrical reflection and refraction, Snell's law, total internal reflection, and wave interference and diffraction.
Modern Physics
Photoelectric effect, Einstein's photon hypothesis, Bohr's hydrogen atom model, and nuclear physics fundamentals.
Chemistry
4 Chapters · 100% Curriculum Weight
Basic Chemical Concepts and Calculations
Matter classification, equation writing, mole calculations, molar mass, gas laws, solutions, and pH determination.
Properties and Reactions of Substances
Inorganic elements and compounds, basic hydrocarbons and derivatives, redox reactions, and ionic testing methods.
Chemical Theories and Laws
Atomic structure, periodic law trends, chemical bonding, reaction rates, equilibrium, and electrolyte solutions.
Chemical Experiments and Applications
Laboratory apparatus safety, mixture separation techniques, gas preparation, and industrial chemical process flowcharts.
Chinese (Liberal Arts)
6 Chapters · 100% Curriculum Weight
Character Recognition & Orthography
Radicals, stroke components, polyphonic characters, homophones, and academic character recognition.
Cloze Vocabulary Selection
Academic collocations, connective words, and precise contextual vocabulary choices.
Synonym & Register Discrimination
Semantic nuances, degree of formality, emotional coloring, and syntactic constraints.
Paragraph Construction & Cohesion
Logical progression, topic sentence development, and cohesive discourse ordering.
Sentence Completion & Syntactic Patterns
Complex syntactic patterns, correlative pairs, and diagnostic grammar rectifications.
Academic Reading Comprehension
Scanning, skimming, academic vocabulary in context, thesis extraction, and deductive logic in humanities.