学科编码

体系 编码/代号 备注
中国 070101
北京大学 数学与应用数学 北京大学本科培养方案（2021）理科卷

课程列表与路线图

北京大学数学与应用数学课程列表

编号 课程名称 类别 备注
00132301 数学分析Ⅰ 专业基础课
00132302 数学分析Ⅱ 专业基础课
00132321 高等代数Ⅰ 专业基础课
00132323 高等代数Ⅱ 专业基础课
00132304 数学分析Ⅲ 专业核心课
00132341 几何学 专业核心课
00135450 抽象代数 专业核心课
00132320 复变函数 专业核心课
00132340 常微分方程 专业核心课
00131300 概率论 专业核心课
00130200 数学模型 专业核心课
00131670 应用数学导论 专业核心课
00130161 拓扑学 专业选修课(基础数学)
00132310 微分几何 专业选修课(基础数学)
00132370 实变函数 专业选修课(基础数学)
00130190 微分流形 专业选修课(基础数学)
00136870 群与表示 专业选修课(基础数学)
00132350 泛函分析 专业选修课(基础数学)
00136880 数论基础 专业选修课(基础数学)
00132330 偏微分方程 专业选修课(基础数学)
00136890 基础代数几何 专业选修课(基础数学)
00132830 金融数学引论 专业必选(金融数学)
00135460 数理统计 专业必选(金融数学)
00133090 应用随机过程 专业必选(金融数学)
00132370 实变函数 专业限选(金融数学)
00134330 金融经济学 专业限选(金融数学)
00136760 金融数据分析导论 专业限选(金融数学)
00135810 寿险精算 专业限选(金融数学)
00131280 证券投资学 专业限选(金融数学)
00136730 衍生证券基础 专业限选(金融数学)
00131100 金融时间序列分析 专业限选(金融数学)
00132350 泛函分析 专业限选(金融数学)
00133010 测度论 专业限选(金融数学)
00137110 应用随机分析 专业限选(金融数学)

北京大学数学与应用数学课程路线图

基础数学方向

digraph {
    rankdir=LR;

    # 专业基础课 nodes    
    c00132301 [label="数学分析Ⅰ"];
    c00132302 [label="数学分析Ⅱ"];
    c00132321 [label="高等代数Ⅰ"];
    c00132323 [label="高等代数Ⅱ"];

    # 专业基础课 cluster
    subgraph cluster_base {
        c00132301; c00132302; c00132321; c00132323;
        label="专业基础课";
    }

    # 专业核心课 nodes
    c00132304 [label="数学分析Ⅲ"];
    c00132341 [label="几何学"];
    c00135450 [label="抽象代数"];
    c00132320 [label="复变函数"];
    c00132340 [label="常微分方程"];
    c00131300 [label="概率论"];
    c00130200 [label="数学模型"];

    # 专业核心课 cluster
    subgraph cluster_core {
        c00132304; c00132341; c00135450; c00132320; c00132340; c00131300; c00130200;
        label="专业核心课";
    }

    # 专业选修课 nodes
    c00130161 [label="拓扑学"];
    c00132310 [label="微分几何"];
    c00132370 [label="实变函数"];
    c00130190 [label="微分流形"];
    c00136870 [label="群与表示"];
    c00132350 [label="泛函分析"];
    c00136880 [label="数论基础"];
    c00132330 [label="偏微分方程"];
    c00136890 [label="基础代数几何"];

    # 专业选修课 cluster
    subgraph cluster_po {
        c00130161; c00132310; c00132370; c00130190; c00136870; c00132350; c00136880; c00132330; c00136890;
        label="专业选修课";
    }

    ##### 专业基础课 dependency #####
    # 数学分析Ⅱ
    c00132301->c00132302;

    # 高等代数Ⅱ
    c00132321->c00132323;

    ##### 专业核心课 dependency #####
    # 数学分析Ⅲ
    c00132301->c00132304;
    c00132341->c00132304;

    # 复变函数
    c00132304->c00132320;

    # 概率论
    c00132301->c00131300;

    # 常微分方程
    c00132301->c00132340;

    ##### 专业选修课 dependency #####
    # 拓扑学
    c00135450->c00130161;

    # 微分几何
    c00132304->c00132310;

    # 实变函数
    c00132302->c00132370;

    # 群与表示
    c00135450->c00136870;

    # 微分流形
    c00130161->c00130190;
    c00132310->c00130190;

    # 泛函分析
    c00132370->c00132350;

    # 偏微分方程
    c00132350->c00132330

    # 基础代数几何
    c00136880->c00136890;
    c00132330->c00136890;
}

金融数学方向

digraph {
    # 专业基础课 nodes    
    c00132301 [label="数学分析Ⅰ"];
    c00132302 [label="数学分析Ⅱ"];
    c00132321 [label="高等代数Ⅰ"];
    c00132323 [label="高等代数Ⅱ"];

    # 专业基础课 cluster
    subgraph cluster_base {
        c00132301; c00132302; c00132321; c00132323;
        label="专业基础课";
    }

    # 专业核心课 nodes
    c00132304 [label="数学分析Ⅲ"];
    c00132341 [label="几何学"];
    c00135450 [label="抽象代数"];
    c00132320 [label="复变函数"];
    c00132340 [label="常微分方程"];
    c00131300 [label="概率论"];
    c00130200 [label="数学模型"];

    # 专业核心课 cluster
    subgraph cluster_core {
        c00132304; c00132341; c00135450; c00132320; c00132340; c00131300; c00130200;
        label="专业核心课";
    }

    # 专业选修课 nodes
    c00132830 [label="金融数学引论"];
    c00135460 [label="数理统计"];
    c00133090 [label="应用随机过程"];
    c00132370 [label="实变函数"];
    c00134330 [label="金融经济学"];
    c00136760 [label="金融数据分析导论"];
    c00135810 [label="寿险精算"];
    c00131280 [label="证券投资学"];
    c00136730 [label="衍生证券基础"];
    c00131100 [label="金融时间序列分析"];
    c00132350 [label="泛函分析"];
    c00133010 [label="测度论"];
    c00137110 [label="应用随机分析"];

    # 专业选修课 cluster
    subgraph cluster_po {
        c00132830; c00135460; c00133090; c00132370; c00134330; c00136760; c00135810; c00131280; c00136730; c00131100; c00132350; c00133010; c00137110;
        label="专业选修课";
    }

    ##### 专业基础课 dependency #####
    # 数学分析Ⅱ
    c00132301->c00132302;

    # 高等代数Ⅱ
    c00132321->c00132323;

    ##### 专业核心课 dependency #####
    # 数学分析Ⅲ
    c00132301->c00132304;
    c00132341->c00132304;

    # 复变函数
    c00132304->c00132320;

    # 概率论
    c00132301->c00131300;

    # 常微分方程
    c00132301->c00132340;

    ##### 专业选修课 dependency #####
}