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概率论


以测度论框架系统学习概率公理、随机变量、联合分布及大数定律和中心极限定理，训练随机问题分析能力。
- XuetangX
- Self-Paced
- Free Online Course
数学分析III

以计算为主、证明较少的多元微积分课程，涵盖隐函数、曲线积分、重积分与曲面积分。
- XuetangX
- Self-Paced
- Free Online Course
算法设计与分析


系统学习分治、贪婪、动态规划等算法设计策略，并运用渐近分析评估算法的正确性与复杂度。
- XuetangX
- Self-Paced
- Free Online Course
实变函数论


系统介绍实变函数与勒贝格积分理论，涵盖集合、测度、可测函数、积分及微分。
- XuetangX
- Self-Paced
- Free Online Course
数学分析II

以严格的概念理解、定理证明和逻辑推演为重点，系统学习积分与级数理论。
- XuetangX
- Self-Paced
- Free Online Course
多元统计分析


系统讲解多元正态分布基础及判别、聚类、主成分和因子分析，结合实例与统计软件开展真实多变量数据分析。
- XuetangX
- Self-Paced
- Free Online Course
高等代数II

高等代数II是高等代数I的继续，主要讲述线性空间、线性变换、Lambda-矩阵、欧几里得空间、双线性函数等内容，比高等代数I更具挑战性。愿意接受挑战的你，请来学习高等代数II吧！
- XuetangX
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- Free Online Course
数理统计学


偶然之中有必然，随机亦可寻规律。掌握数理统计学，拨开云雾识数据。
- XuetangX
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- Free Online Course
点集拓扑


该课在数学人才培养过程中有着重要的作用。该课对极限与连续做了最一般的推广。学完该课再回望微积分有一览众山小之感。
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- Free Online Course
数学物理方程


围绕波动、热传导和位势三类方程，学习定解问题的求解方法及适定性分析。
- XuetangX
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- Free Online Course
微分几何


了解曲线及曲面的弯曲，甚至时空的弯曲及精确计算，对于机械设计及计算机图形学专业尤为必要了解，同时通过此课程的学习，加深所学基础课，如微积分，线性代数的理解。
- XuetangX
- Self-Paced
- Free Online Course
几何学基础


以向量、坐标变换和曲面方程为工具，系统分析空间直线、平面与二次曲面。
- XuetangX
- Self-Paced
- Free Online Course
统计计算


统计计算是统计学与计算科学的完美结合, 是进行探索性数据分析和高维数据可视化的有效方法, 已经成为大数据时代数据分析的重要组成部分!
- XuetangX
- Self-Paced
- Free Online Course
化学与创新


化学是一门中心的、实用的和创造性的学科，本课程主要介绍化学在不同科学领域发展过程当中的创新性研究，着重培养学生的创新精神。
- XuetangX
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回归分析


线性统计模型是现代统计学中应用最为广泛的模型之一，而且也是其它统计模型研究或者应用的基础。掌握了线性模型的理论，也就掌握了统计的核心内容。
- XuetangX
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