全英文美国大一 Calculus I 系列课。按主流 section 顺序推进,每集对齐一节课本 session:讲清定义与定理条件,再完整板书典型例题与易错点。
Linear Approximations and Differentials: Estimate Nearby Values
Related Rates: Connect Changing Quantities Step by Step
Exponential and Logarithmic Derivatives: Four Rules and x^x
Implicit Differentiation: Find Slopes Without Solving for y
The Chain Rule: Differentiate Composite Functions
Derivatives of Trigonometric Functions: The Six Rules
Differentiation Rules: Power, Product, and Quotient
The Derivative: From Secant Slopes to Instantaneous Change
Limits and Continuity: How to Read, Compute, and Test Them