Bilingual Chinese-English Version, adapted for Chinese international students

• Core Topics Covered – Limits, derivatives, integrals, series, and more, fully aligned with AP Calculus BC.

• Clear Problem-Solving – Step-by-step methods for optimization, differential equations, and integration techniques.

• Bilingual & Insightful – English–Chinese notes with explanations, proofs, and applied examples.

Bilingual Chinese-English Version, adapted for Chinese international students

• Essential Statistical Foundations – Covers probability, distributions, sampling, and core concepts needed for AP Statistics.

• Step-by-Step Methods – Includes worked examples on hypothesis testing, confidence intervals, regression, and data analysis.

• Bilingual with Explanations – Notes in English and Chinese, combining formulas with clear reasoning and practical examples.

Bilingual Chinese-English Version, adapted for Chinese international students

• Complete Mechanics Topics – Covers kinematics, Newton’s laws, energy, momentum, rotation, oscillations, and gravitation.

• Problem-Solving Guidance – Step-by-step explanations with formulas, worked models, and applications of physics principles.

• Bilingual & Detailed – Notes in English and Chinese, blending theory with practice for clear and accessible learning.

Bilingual Chinese-English Version, adapted for Chinese international students

• Core Chemistry Principles – Covers stoichiometry, atomic structure, bonding, thermodynamics, kinetics, and equilibrium in detail.

• Problem-Solving Guidance – Step-by-step explanations with formulas, worked models, and applications of chemistry principles.

• Bilingual & Detailed – Notes in English and Chinese, blending theory with practice for clear and accessible learning.

Bilingual Chinese-English Version, adapted for Chinese international students

• Fundamental Economic Concepts – Covers supply and demand, production possibilities, and key macroeconomic models.

• Policy and Applications – Includes monetary and fiscal policy, economic growth, inflation, and unemployment with real-world context.

• Bilingual Explanations – Notes in English and Chinese, combining diagrams, formulas, and commentary for clarity and depth.

English Version

• Core Concepts – Systems of linear equations, Gaussian elimination/RREF, matrix algebra, determinants, eigenvalues/eigenvectors, and diagonalization. 

• Theory + Algorithms – Definitions and proofs paired with step-by-step methods: LU/QR factorizations, least squares, orthogonality, and SVD, with geometric intuition in (R^n) and abstract spaces. 

• Real Applications – Markov chains, network flow, PageRank, computer graphics, PCA, image compression, and differential-equation systems, all worked through with examples. 

Bilingual Chinese-English Version, adapted for Chinese international students

• Foundations & First-Order Methods – Definitions, calculus review, linear & separable ODEs, exact equations, integrating factors, and existence–uniqueness with bilingual step-by-step procedures.

• Autonomous Models & Qualitative Analysis – Exponential/logistic growth, threshold dynamics, phase lines, concavity and direction reasoning, stability, and intervals of validity.

• Systems, Eigenmethods & Phase Plane – Linear systems solved via eigenvalues/eigenvectors (real/repeated/complex), Wronskian and fundamental solutions, phase portraits, nullclines, and classic models like predator–prey.

Bilingual Chinese-English Version, adapted for Chinese international students

• Floating-Point & Error Analysis – Scientific notation and binary/IEEE formats, rounding rules, machine epsilon, error propagation, and catastrophic cancellation.

• Linear Systems & Numerical Stability – Norms and condition numbers, Gaussian elimination with partial pivoting, LU/PA=LU, Cholesky, QR, and SVD, with forward/backward substitution algorithms.

• Interpolation & Approximation – Polynomial interpolation (Vandermonde, Newton, Lagrange), Chebyshev points, and error bounds, with bilingual explanations and worked examples.