学习目标Learning Objectives
第1周:单变量非线性方程求解Week 1 - Solving Single Nonlinear Equations
在已知变号区间时应用二分法。Bilingual notes on bisection and Newton tangent methods.
笔记索引Notes Index
按主题与标签组织双语内容,保留公式细节与完整推导。Organized by topics and tags with bilingual pairing, formula details, and complete derivations.
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学习目标Learning Objectives
在已知变号区间时应用二分法。Bilingual notes on bisection and Newton tangent methods.
学习目标Learning Objectives
本笔记将第2周关于无导数迭代与多项式重构的内容进行规范化整理。Bilingual notes on derivative-free root finding and interpolation structure.
学习目标Learning Objectives
第3周将插值从“仅函数值约束”推进到“函数值+导数约束”。Bilingual notes on interpolation bases and derivative constraints.
学习目标Learning Objectives
在含导数条目的情况下使用牛顿差商表。Bilingual notes on endpoint-derivative interpolation and C2 spline junctions.
学习目标Learning Objectives
第5周介绍如何由采样函数值近似导数。Bilingual notes on finite-difference derivative formulas.
学习目标Learning Objectives
第6周聚焦于在原函数难求或不存在闭式表达时对曲线下面积进行近似。Bilingual notes on right endpoint, trapezoid, and Simpson methods.
学习目标Learning Objectives
第7周先回顾数值微分,再重点推导积分误差并讨论外推改进。Bilingual notes on Simpson error, trapezoid-midpoint comparison, and Romberg ideas.
课程回顾与目标Review and Learning Objectives
数值微分与积分的综合复习,重点推导公式、误差估计及外推方法。A thorough review of numerical differentiation and integration focusing on derivations, error formulas, and Romberg extrapolation.
未分类General
关于“意识”的双语学习笔记。Bilingual study notes on 意识.