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# 线代辅学课程 线性代数:未竟之美 | ||
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欢迎来到竺院线性代数辅学课程版块🤗。你可以在左侧导航栏中详细浏览本模块的内容。 | ||
欢迎来到竺院线性代数辅学课程版块 🤗。你可以在左侧导航栏中详细浏览本模块的内容。 | ||
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## 课程简介 | ||
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## 课题组成员 | ||
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- 吴一航 图灵2001 | ||
- 梅敏炫 图灵2201 | ||
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## 课程安排 | ||
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- 第一讲 引入+线性空间 | ||
- 预计第 6 周,分两个教学班开课,吴志祥班上完内积,谈之奕班不上内积(或吴志祥第 5 周,谈之奕第 6 周) | ||
- 讲义 1-2 讲重点在于传达一些基本思想,低起点引入但高落点 | ||
- 讲义第 3 讲《有限维线性空间》一讲建议按照思维导图进行完整介绍 | ||
- 第二讲 线性映射+期中复习 | ||
- 预计第 8 周,分两个教学班开课,吴志祥班上完矩阵乘法(矩阵部分可以略讲,之后有专题),谈之奕班上到线性映射结束 | ||
- 建立对线性空间与线性映射的整体认识,理解两个维数公式,理解同构 | ||
- 复习部分对特定的题型进行讲解:方程组(含参),极大线性无关组,直和证明,像空间核空间证明等(结合历年卷和讲义) | ||
- 第三讲 矩阵 | ||
- 预计第 11 周,可以合班教学(或吴志祥第 10 周,谈之奕第 11 周) | ||
- 重点在三个内容:一个是线性映射矩阵表示,一个是矩阵的秩的整体认识,最后是一些上课不太讲的技巧 | ||
- 第四讲 行列式+线性方程组 | ||
- 预计第 13 周,可以合班教学 | ||
- 行列式重点在灵活运用一些性质,行列式计算视情况线下授课可以抛弃(准备线上资料替代),线性方程组重点在体现《朝花夕拾》的核心思想,线性方程组理论意尽 | ||
- 第五讲 特征值与矩阵标准形+期末复习 | ||
- 预计第 15 周,可以合班教学,也可以按难度分层教学 | ||
- 特征值与矩阵标准形部分根据班级授课进度确定内容,如果时间有限或教学班没有上完正课,部分内容移至线上准备视频 | ||
- 期末复习部分整理本学期完整思路,结合历年卷和讲义讲解最核心的题型 |
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