微积分I - Calculus I

课程介绍 Course Introduction

学分：4 | 建议学期：第1学期

微积分是高等数学的核心，学习极限、导数、积分等概念。掌握求导法则、微分应用、不定积分和定积分计算，培养用微积分思维分析变化率和累积量的能力。

Calculus is the core of advanced mathematics, covering limits, derivatives, and integrals. Master differentiation rules, differential applications, and integral calculations to analyze rates of change and accumulation.

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学习示例 Learning Example

示例：比如计算一辆汽车的瞬时速度：如果位置函数是s(t) = t² + 3t，那么速度就是导数v(t) = s'(t) = 2t + 3。当t=5秒时，瞬时速度就是13米/秒。这就是导数的物理意义。

Example: Example: Calculate instantaneous velocity of a car. If position function is s(t) = t² + 3t, velocity is the derivative v(t) = 2t + 3. At t=5s, velocity is 13 m/s. This illustrates the physical meaning of derivatives.