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.
Sets, Venn Diagrams & Logical Quantifiers
Quadratic, Fractional Inequalities & AM-GM
Functions, Derivatives & Sequences
Domain & range, monotonicity, parity, exponential, logarithmic & power functions, derivatives, tangents, and AP/GP series.
Function Properties: Monotonicity, Parity & Periodicity
Exponential, Logarithmic & Trigonometric Functions
Sequences: Arithmetic & Geometric Progressions
Derivatives: Tangent Lines, Extrema & Monotonicity
Geometry & Algebra
Plane analytic geometry (lines, circles, ellipses, hyperbolas, parabolas), plane vectors, complex numbers, and 3D solid geometry.
Conic Sections: Ellipse, Hyperbola & Parabola
Plane Vectors: Linear Operations & Dot Product
Complex Numbers: Arithmetic & Modulus
Solid Geometry: Line-Plane Positional Relations & Volume
Probability & Statistics
Counting principles, permutations $A_n^m$, combinations $C_n^m$, classical probability, conditional probability, discrete random variables, mean, variance, and normal distribution.
Permutations, Combinations & Classical Probability
Statistics: Mean, Variance & Normal Distribution
Physics
5 Chapters · 100% Curriculum Weight
Mechanics
Kinematics, Newton's laws, momentum conservation, work-energy, circular orbits, and mechanical waves.
Kinematics & Newton's Laws of Motion
Momentum, Impulse & Collisions
Work, Energy & Mechanical Conservation
Circular Motion & Universal Gravitation
Simple Harmonic Motion & Mechanical Waves
Electromagnetism
Electrostatics, DC circuits, magnetic forces on charges/currents, and Faraday-Lenz electromagnetic induction.
Electrostatics & Direct Current Circuits
Magnetic Fields, Ampere Force & Lorentz Force
Electromagnetic Induction: Faraday's & Lenz's Laws
Thermodynamics
Kinetic molecular theory of gases, ideal gas equation of state, and the First Law of Thermodynamics.
Kinetic Theory of Gases & First Law of Thermodynamics
Optics
Geometrical reflection and refraction, Snell's law, total internal reflection, and wave interference and diffraction.
Geometrical Optics: Reflection, Refraction & TIR
Physical Optics: Interference & Diffraction
Modern Physics
Photoelectric effect, Einstein's photon hypothesis, Bohr's hydrogen atom model, and nuclear physics fundamentals.
Photoelectric Effect, Atomic Structure & Nuclear Physics
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.
Amount of Substance & Stoichiometric Calculations
Ideal Gas Law, Solution Concentration & pH
Properties and Reactions of Substances
Inorganic elements and compounds, basic hydrocarbons and derivatives, redox reactions, and ionic testing methods.
Properties of Common Inorganic Elements & Compounds
Basic Organic Compounds: Hydrocarbons & Derivatives
Identification & Balancing of Redox Reactions
Ionic Reactions & Testing Methods
Chemical Theories and Laws
Atomic structure, periodic law trends, chemical bonding, reaction rates, equilibrium, and electrolyte solutions.
Atomic Structure & Periodic Law Trends
Chemical Bonds, Intermolecular Forces & VSEPR
Chemical Reaction Rates & Dynamic Equilibrium
Electrolyte Solutions, Buffers & Electrochemistry
Chemical Experiments and Applications
Laboratory apparatus safety, mixture separation techniques, gas preparation, and industrial chemical process flowcharts.
Laboratory Safety, Apparatus & Separation Techniques
Preparation of Common Gases & Industrial Chemical Processes
Chinese (Liberal Arts)
6 Chapters · 100% Curriculum Weight
Character Recognition & Orthography
Radicals, stroke components, polyphonic characters, homophones, and academic character recognition.
Hanzi Orthography, Radicals & Glyph Discrimination
Polyphonic Characters & Homophone Contexts
Cloze Vocabulary Selection
Academic collocations, connective words, and precise contextual vocabulary choices.
Academic Collocations & Idiomatic Lexicon
Discourse Connectives & Cohesive Ties
Synonym & Register Discrimination
Semantic nuances, degree of formality, emotional coloring, and syntactic constraints.
Synonym Semantic Nuances & Precise Usage
Stylistic Formality & Semantic Register Matching
Paragraph Construction & Cohesion
Logical progression, topic sentence development, and cohesive discourse ordering.
Paragraph Logical Structure & Topic Sentences
Discourse Cohesion & Rhetorical Structure
Sentence Completion & Syntactic Patterns
Complex syntactic patterns, correlative pairs, and diagnostic grammar rectifications.
Complex Syntactic Patterns & Correlative Pairs
Error Correction & Sentence Structure Rectification
Academic Reading Comprehension
Scanning, skimming, academic vocabulary in context, thesis extraction, and deductive logic in humanities.