From fbd00ad1d47d8561698a0f001555abde6dcfc896 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E4=BE=AF=E7=88=B5?= <3240102072@zju.edu.cn> Date: Mon, 23 Feb 2026 00:42:17 +0800 Subject: [PATCH 1/2] =?UTF-8?q?=E9=87=8D=E5=86=99=E6=A6=82=E7=8E=87?= =?UTF-8?q?=E8=AE=BA=E5=92=8C=E6=95=B0=E7=90=86=E7=BB=9F=E8=AE=A1=E5=86=85?= =?UTF-8?q?=E5=AE=B9?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- docs/math_phys/probability/index.md | 56 +++++++++--------- ...7\346\234\253\350\257\225\345\215\267.pdf" | Bin 0 -> 269792 bytes mkdocs.yml | 2 +- 3 files changed, 28 insertions(+), 30 deletions(-) create mode 100644 "docs/math_phys/probability/\346\246\202\345\222\214\347\273\2372024-2025\347\247\213\345\206\254\346\234\237\346\234\253\350\257\225\345\215\267.pdf" diff --git a/docs/math_phys/probability/index.md b/docs/math_phys/probability/index.md index b7610102..4bc18526 100644 --- a/docs/math_phys/probability/index.md +++ b/docs/math_phys/probability/index.md @@ -4,65 +4,63 @@ abbrs: - 概统 --- -# 概率论与数理统计 - -!!! warning "本页内容先仍为老培养方案中概率论(H)课程内容,亟待修改" +# 概率论和数理统计 ## 课程学习内容 -概率论(H)与数学科学学院 3 学分的专业课事实上完全一致,主要教授事件及其概率、随机变量与分布函数、数字特征与特征函数、极限定理。其中第一章内容和高中的概率与统计类似。由于时间限制,最后极限定理只涉及比较简单的几个定理。 +从24级开始,图灵班培养方案上的“概率论(H)”课程被替换为“概率论**和**数理统计”。需要注意的是这门课和“概率论**与**数理统计”虽然教授内容范围基本上一致,但并不是同一门课程,选课的时候需要注意区分(有时把这门课称作“概和统”,从而与一般的概统区分)。本课程主要面向竺院,教授内容侧重和“概与统”课程略有不同,小测与考试风格与“概与统”课程差别较大。 + +课程内容为教材的1-8章,1-5章为概率论部分,6-8章为数理统计部分。主要包括随机变量及其概率分布、数字特征、大数定律和中心极限定理、统计量与抽样分布、参数估计、假设检验等内容。 -需要注意的是,一般工科学习的课程是概率论与数理统计,这门课一直到特征函数之前事实上与这门课都比较接近,当然会更注重一些模型的计算,套用一些结论解题。但从特征函数开始,概率论(H)课程将会更重视概率论的理论性,这是概统课程完全不涉及的。当然概统后半部分还会讲数理统计,这是概率论课程不涉及的。实际上,如果对统计学感兴趣,或者觉得统计学对自己未来的研究(例如 AI)比较重要的话,可以继续修读数学科学学院开设的数理统计和随机过程课程。 +总体上讲这门课程的难度算是必修数学课程中相对简单的,概率论部分的内容比较容易理解,数理统计中一部分内容可能相对陌生,可能需要重点关注。 ### 先修要求 -建议先修课程:数学分析/微积分、线性代数。学习中会涉及到各种积分的计算,证明中会涉及一致连续等概念,甚至有少部分实变函数的内容,但不会重点讲解且不会考察,因此可以略过。 +建议先修课程:数学分析/微积分。主要要求掌握积分与二重积分。 ## 任课教师 -=== "苏中根" +=== "黄炜" - 苏老师讲课比较有激情,安徽口音,基本按照教材配合 PPT 讲解(因为教材是他编的),喜欢讲解数学历史。PPT 有一些错误,自己学习时需要注意。苏老师可能是全校最喜欢点名的老师之一,给分较求是。这门课的给分呈现低段大力捞,较高分段不怎么捞的迹象。 + 概和统课程一直以来仅有黄炜老师一人开设。黄炜老师很温柔,讲课比较仔细,重要的内容会反复强调,对知识点和解题方法的总结也非常清楚。老师上课以PPT为主,重难点会配合板书讲解(需要注意的是教室很大,坐在后排有可能看不清板书)。 -## 课程教材 + 老师的小测和考试题目相对概与统课程来讲难度较大,会考察一些比较细节的知识点,以及对重要知识点的进阶运用;但给分应当说相当友善。 -***概率论(第三版),林正炎、苏中根、张立新编著*** +## 课程教材 -浙大自编教材,上课基本按照这本书(除了最后一章老师会调整顺序),作业也是来自每章课后题。这本书还是比较清晰的,看书可以完全代替听课。教材的问题是深度不够,许多进阶知识缺乏对应的介绍,感兴趣的同学可以参考学习建议中的推荐书单。 +***概率论与数理统计(第二版),浙江大学 黄炜 等 主编*** -值得一提的是,学校订教材后会得到概率论中文版和英文版两本教材(~~捆绑销售~~),实际上英文版教材对这门课没有任何作用,作业、小测、考试均是中文。 +浙大自编教材,上课基本按照这本书前八章的内容讲授(需要注意的是并非所有打星号的内容都不考,具体哪些考哪些不考老师上课会说)。整体来讲这本书内容和例题与课程内容贴合度较高,讲解较清晰,内容全面,基本上也涵盖了所有考试所需的知识点。作业题目也来自这本书,老师在挑题目的时候基本上会特意比较均匀地覆盖大部分重要知识点,因此作业题目还是比较值得认真关注的。 ## 分数构成 -=== "苏中根" - 成绩组成:平时成绩(点名、作业)20% + 随堂小测 20 % + 期末考试 60 % +=== "黄炜" + 成绩组成:平时成绩(点名、平时作业、小测、大作业、MOOC)60% + 期末考试 40 % - * 点名:苏老师每节课都会有点名,根据去年的经验,形式包括但不限于课前雷达点名、开课随机抽查、上课点人回答问题。 - * 作业:作业均是书后题,有答案,只要好好完成就问题不大。 - * 小测:正常安排下是两次小测,时间、内容均不定,难度不大,但应该不会调分。 - * 期末考试:若干道大题。21 级是 7 道大题,除第一章外每章各两题。历年卷拟合效果尚佳。 + * 点名:点名号称时间、形式均随机。24级实际点名3次,均为课前学在浙大线上点名,错过可以在课间找老师补签。 + * 作业:平时作业按等级打分,认真完成基本上不会扣太多分。 + * 小测:24级共两次小测,第一次线下随堂测试,难度较大;第二次为学在浙大线上测试,难度适中。两次小测均为开卷,老师对于线下随堂小测的规定是如果当堂突击小测,则允许查阅电子和纸质资料;若提前一周通知小测,则仅允许查看纸质资料。24级第一次小测为后者,因此有必要准备纸质书籍。 + * 大作业:大作业为一篇小论文,题材不限,只要与概统相关即可;字数1000字以上,无上限。选择自己感兴趣的内容自由发挥即可。 + * MOOC:为平时成绩的bonus参考依据。智慧树上的课程,要求观看视频并完成相关练习,有线上的期末考试。MOOC内容超出课堂内容,如果仅追求学习课内内容的话,MOOC内容没有什么帮助。 + * 期末考试:闭卷,题型为填空题和解答题,填空题约占三十几分。考试难度明显高于概与统课程,风格也有一定差异,复习时需要注意。历年卷有一定参考价值(指概和统的历年卷)。 ## 相关资源 -- [ZhouTimeMachine 的概率论笔记](https://zhoutimemachine.github.io/note/courses/probability/) -- [(19 级)2020-2021 秋冬期中试卷](概率论2020秋冬期中试卷.pdf) -- [(20 级)2021-2022 秋冬期末回忆卷](概率论2021秋冬期末回忆卷.pdf) | [解答](概率论2021秋冬期末回忆卷解答.pdf)(均来自 CC98) -- [(21 级)2022-2023 秋冬期末回忆卷](概率论2022秋冬期末回忆卷.pdf) -- [(22 级)2023-2024 秋冬小测](概率论2023秋冬小测.pdf) -- [(22 级)2023-2024 秋冬期末回忆卷](概率论2023秋冬期末回忆卷.pdf) -- [(23 级)2024-2025 秋冬小测](概率论2024秋冬小测.pdf) +- [2024-2025秋冬期末试卷](概和统2024-2025秋冬期末试卷.pdf) (by CC98 @Colamentos) ## 学习建议 -这门课最开始可能会觉得很简单,都是高中内容,但大概到条件概率、随机变量之后难度会有所提高。不过总的来说这门课的知识难度是不高的,作业和考试比都比课上讲的难,因此个人认为把课后题过一遍是有必要的。虽然课程中有很多定理,但证明基本上不要求掌握,而且考试只考察重要的定理,保证能够运用即可。 +这门课最开始可能会觉得很简单,第一章都是高中内容,但随着课程的深入还是会遇到一些比较棘手的内容,特别是数理统计部分里面的三大抽样分布,以及紧随其后的参数估计与假设检验,这些内容相对比较陌生,也不太直观,需要多花一些时间去理解和记忆。但总的来说,这门课还是比较偏向应用,对证明没有什么要求,在理解知识点的基础上,熟悉一些常见的题型和解题方法,基本上就能应对除少数难题以外的常规考试题目了;这一点相比之前的数分和线代还是要友善很多。 + +黄炜老师讲课细致清晰,认真听的话应该可以听懂大部分内容,少部分不太清楚的内容,课后看看回放、PPT或课本应该也能够搞定,或者也可以询问老师助教;老师在学期初会上传所有的原始课件,但实际上课所用的课件相对原始课件会有比较多的修改和补充,上课的课件会在课后当天上传。老师的上课课件非常详细清晰!查漏补缺或者复习考试时很有参考价值。此外,老师期末也会上传提纲和比较有用的练习题,复习考试的时候一定要好好利用这些资源。 -期末考试整体难度不大,一般情况作业和历年卷足以应对,一般不会有很冷门的考点。而且老师非常重视过程,答案就算错了如果过程足够也能拿到相当多的分数。期末回忆卷是比较有用的,这两年都有部分原题,但是大家不要被蓝田的历年卷蒙蔽双眼,蓝田的试卷把概统、概率论等题目混在一起,而且不注明是否为 H,导致题目可能和实际所见的不符合。概率论的历年卷上面已经给出,也可以在 98 上搜索相关资源。 +前面已经提到,这门课程的小测和考试题目相对概与统课程来讲难度较大。因此,如果想要拿到高分,还是需要付出相当的努力的。一方面,需要多注意理解老师上课讲到的一些偏难的、有一定综合性和技巧性的内容,课后习题中一些重难点题目也需要比较透彻地理解;另一方面,一些比较细节的知识点也需要加以注意。考试中的难题比较灵活,需要将知识融会贯通,灵活运用,单纯死记硬背知识点是很难应对的。小测和考试的历年卷都有一定的参考价值;至于概与统的题目,可以作为复习参考,但是题目风格与概和统差别不小。不过也不必太过担心,考试偏基础的题目比重不小,老师给分也相当捞,所以只要认真复习,还是基本上能拿到不错的分数的。 -但是需要强调的是,这门课虽然不是很难,但不可掉以轻心。概率论作为统计学的基础课,如果真的希望学好这门应用数学课,不可避免的需要有一定的练习去提升自己对公式、结论的理解和熟练程度——这可能与之前学习的线代数分风格不太一样,但应用数学你不真的多用很难体会到这些抽象的公式的真正作用,特别是如果要学习数理统计和随机过程,老师都会默认你概率论的内容信手拈来。 +需要强调的是,这门课虽然整体而言不是很难,但不可掉以轻心。概统作为统计学的基础课,如果真的希望学好这门应用数学课,不可避免的需要有一定的练习去提升自己对公式、结论的理解和熟练程度——这可能与之前学习的线代数分风格不太一样,但应用数学你不真的多用很难体会到这些抽象的公式的真正作用,特别是如果要学习数理统计和随机过程,老师都会默认你概率论的内容信手拈来。 ## 推荐书单 -!!! note "以下建议来自 20 学长组,仅供参考" +!!! note "以下建议来自 20 学长组对于概率论(H)课程的推荐,仅供参考" - ***《概率论基础》李贤平***(中国经典的概率论教材,显然浙大这本教材在很多地方参考了这本书) - ***Introduction to Probability. Dimitri P.Bertsekas \& John N. 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zjv5aTGXGF)LqI|IY8r@~(tJOkkpKYz-uE9EAc(jx4~#62`?i4r2o#@!L4x;l{GSpO zysrxwgn-=lDHse!$z3oQ3cjB&$WVe%bVk-RiaZDcin6aD0HtQYP!LLtz)(RbiaaP3 zf+7zJzmH8oFbs+P_wofvyN}OEKIHsw6h1frWe*q}rH;UGC~A!02$UKGBLFD521X#@ z_x%R}fbL@=a&kKOKGp#tK;$8CPiF`aejopke5iE^0U@dP*Mi_Ec0iCpzn^OmFlu}u zNC%?GgMbC^=L-Y^6}*od5C{x>A0r@w5Cn=}1YsyXg$Tk?dT04zkU1v zfQH-`fszk!@(L+#)80^wlfN%wEs{~sTK zp@@6?B6WcaqSyh3qhJ{vSx_i>0}%wH_z!s%`QNepU-w=hatD+%7fFMo>?;UCsdqTC zW>Ioj5OM#^03neKaSv0FG${B#_HcE6Wo2vbOduj6pyuG+i~vIAz{p#! z9P${0g8*_e$ZL|6tRw^?B_}2VfJwuV+RMrU Date: Mon, 23 Feb 2026 01:26:25 +0800 Subject: [PATCH 2/2] =?UTF-8?q?=E4=BF=AE=E6=94=B9=E6=A0=BC=E5=BC=8F?= =?UTF-8?q?=EF=BC=8C=E6=B7=BB=E5=8A=A025=E5=9B=9E=E5=BF=86=E5=8D=B7?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- docs/math_phys/probability/index.md | 21 +++++++++--------- ...7\346\234\253\350\257\225\345\215\267.pdf" | Bin 0 -> 80767 bytes 2 files changed, 11 insertions(+), 10 deletions(-) create mode 100644 "docs/math_phys/probability/\346\246\202\345\222\214\347\273\2372025-2026\347\247\213\345\206\254\346\234\237\346\234\253\350\257\225\345\215\267.pdf" diff --git a/docs/math_phys/probability/index.md b/docs/math_phys/probability/index.md index 4bc18526..728e6865 100644 --- a/docs/math_phys/probability/index.md +++ b/docs/math_phys/probability/index.md @@ -8,9 +8,9 @@ abbrs: ## 课程学习内容 -从24级开始,图灵班培养方案上的“概率论(H)”课程被替换为“概率论**和**数理统计”。需要注意的是这门课和“概率论**与**数理统计”虽然教授内容范围基本上一致,但并不是同一门课程,选课的时候需要注意区分(有时把这门课称作“概和统”,从而与一般的概统区分)。本课程主要面向竺院,教授内容侧重和“概与统”课程略有不同,小测与考试风格与“概与统”课程差别较大。 +从 24 级开始,图灵班培养方案上的“概率论(H)”课程被替换为“概率论**和**数理统计”。需要注意的是这门课和“概率论**与**数理统计”虽然教授内容范围基本上一致,但并不是同一门课程,选课的时候需要注意区分(有时把这门课称作“概和统”,从而与一般的概统区分)。本课程主要面向竺院,教授内容侧重和“概与统”课程略有不同,小测与考试风格与“概与统”课程差别较大。 -课程内容为教材的1-8章,1-5章为概率论部分,6-8章为数理统计部分。主要包括随机变量及其概率分布、数字特征、大数定律和中心极限定理、统计量与抽样分布、参数估计、假设检验等内容。 +课程内容为教材的 1-8 章,1-5 章为概率论部分,6-8 章为数理统计部分。主要包括随机变量及其概率分布、数字特征、大数定律和中心极限定理、统计量与抽样分布、参数估计、假设检验等内容。 总体上讲这门课程的难度算是必修数学课程中相对简单的,概率论部分的内容比较容易理解,数理统计中一部分内容可能相对陌生,可能需要重点关注。 @@ -28,7 +28,7 @@ abbrs: ## 课程教材 -***概率论与数理统计(第二版),浙江大学 黄炜 等 主编*** +***概率论与数理统计(第二版),浙江大学黄炜等主编*** 浙大自编教材,上课基本按照这本书前八章的内容讲授(需要注意的是并非所有打星号的内容都不考,具体哪些考哪些不考老师上课会说)。整体来讲这本书内容和例题与课程内容贴合度较高,讲解较清晰,内容全面,基本上也涵盖了所有考试所需的知识点。作业题目也来自这本书,老师在挑题目的时候基本上会特意比较均匀地覆盖大部分重要知识点,因此作业题目还是比较值得认真关注的。 @@ -37,22 +37,23 @@ abbrs: === "黄炜" 成绩组成:平时成绩(点名、平时作业、小测、大作业、MOOC)60% + 期末考试 40 % - * 点名:点名号称时间、形式均随机。24级实际点名3次,均为课前学在浙大线上点名,错过可以在课间找老师补签。 + * 点名:点名号称时间、形式均随机。24 级实际点名 3 次,均为课前学在浙大线上点名,错过可以在课间找老师补签。 * 作业:平时作业按等级打分,认真完成基本上不会扣太多分。 - * 小测:24级共两次小测,第一次线下随堂测试,难度较大;第二次为学在浙大线上测试,难度适中。两次小测均为开卷,老师对于线下随堂小测的规定是如果当堂突击小测,则允许查阅电子和纸质资料;若提前一周通知小测,则仅允许查看纸质资料。24级第一次小测为后者,因此有必要准备纸质书籍。 - * 大作业:大作业为一篇小论文,题材不限,只要与概统相关即可;字数1000字以上,无上限。选择自己感兴趣的内容自由发挥即可。 - * MOOC:为平时成绩的bonus参考依据。智慧树上的课程,要求观看视频并完成相关练习,有线上的期末考试。MOOC内容超出课堂内容,如果仅追求学习课内内容的话,MOOC内容没有什么帮助。 + * 小测:24 级共两次小测,第一次线下随堂测试,难度较大;第二次为学在浙大线上测试,难度适中。两次小测均为开卷,老师对于线下随堂小测的规定是如果当堂突击小测,则允许查阅电子和纸质资料;若提前一周通知小测,则仅允许查看纸质资料。24 级第一次小测为后者,因此有必要准备纸质书籍。 + * 大作业:大作业为一篇小论文,题材不限,只要与概统相关即可;字数 1000 字以上,无上限。选择自己感兴趣的内容自由发挥即可。 + * MOOC:为平时成绩的 bonus 参考依据。智慧树上的课程,要求观看视频并完成相关练习,有线上的期末考试。MOOC 内容超出课堂内容,如果仅追求学习课内内容的话,MOOC 内容没有什么帮助。 * 期末考试:闭卷,题型为填空题和解答题,填空题约占三十几分。考试难度明显高于概与统课程,风格也有一定差异,复习时需要注意。历年卷有一定参考价值(指概和统的历年卷)。 ## 相关资源 -- [2024-2025秋冬期末试卷](概和统2024-2025秋冬期末试卷.pdf) (by CC98 @Colamentos) +- [2024-2025 秋冬期末试卷](概和统2024-2025秋冬期末试卷.pdf) (by CC98 @Colamentos) +- [2025-2026 秋冬期末试卷](概和统2025-2026秋冬期末试卷.pdf) ## 学习建议 这门课最开始可能会觉得很简单,第一章都是高中内容,但随着课程的深入还是会遇到一些比较棘手的内容,特别是数理统计部分里面的三大抽样分布,以及紧随其后的参数估计与假设检验,这些内容相对比较陌生,也不太直观,需要多花一些时间去理解和记忆。但总的来说,这门课还是比较偏向应用,对证明没有什么要求,在理解知识点的基础上,熟悉一些常见的题型和解题方法,基本上就能应对除少数难题以外的常规考试题目了;这一点相比之前的数分和线代还是要友善很多。 -黄炜老师讲课细致清晰,认真听的话应该可以听懂大部分内容,少部分不太清楚的内容,课后看看回放、PPT或课本应该也能够搞定,或者也可以询问老师助教;老师在学期初会上传所有的原始课件,但实际上课所用的课件相对原始课件会有比较多的修改和补充,上课的课件会在课后当天上传。老师的上课课件非常详细清晰!查漏补缺或者复习考试时很有参考价值。此外,老师期末也会上传提纲和比较有用的练习题,复习考试的时候一定要好好利用这些资源。 +黄炜老师讲课细致清晰,认真听的话应该可以听懂大部分内容,少部分不太清楚的内容,课后看看回放、PPT 或课本应该也能够搞定,或者也可以询问老师助教;老师在学期初会上传所有的原始课件,但实际上课所用的课件相对原始课件会有比较多的修改和补充,上课的课件会在课后当天上传。老师的上课课件非常详细清晰!查漏补缺或者复习考试时很有参考价值。此外,老师期末也会上传提纲和比较有用的练习题,复习考试的时候一定要好好利用这些资源。 前面已经提到,这门课程的小测和考试题目相对概与统课程来讲难度较大。因此,如果想要拿到高分,还是需要付出相当的努力的。一方面,需要多注意理解老师上课讲到的一些偏难的、有一定综合性和技巧性的内容,课后习题中一些重难点题目也需要比较透彻地理解;另一方面,一些比较细节的知识点也需要加以注意。考试中的难题比较灵活,需要将知识融会贯通,灵活运用,单纯死记硬背知识点是很难应对的。小测和考试的历年卷都有一定的参考价值;至于概与统的题目,可以作为复习参考,但是题目风格与概和统差别不小。不过也不必太过担心,考试偏基础的题目比重不小,老师给分也相当捞,所以只要认真复习,还是基本上能拿到不错的分数的。 @@ -60,7 +61,7 @@ abbrs: ## 推荐书单 -!!! note "以下建议来自 20 学长组对于概率论(H)课程的推荐,仅供参考" +!!! note "以下建议来自 20 学长组对于概率论(H)课程的推荐,仅供参考" - ***《概率论基础》李贤平***(中国经典的概率论教材,显然浙大这本教材在很多地方参考了这本书) - ***Introduction to Probability. Dimitri P.Bertsekas \& John N. Tsitsiklis*** MIT 概率论入门课程基础上便携的教材。 diff --git "a/docs/math_phys/probability/\346\246\202\345\222\214\347\273\2372025-2026\347\247\213\345\206\254\346\234\237\346\234\253\350\257\225\345\215\267.pdf" "b/docs/math_phys/probability/\346\246\202\345\222\214\347\273\2372025-2026\347\247\213\345\206\254\346\234\237\346\234\253\350\257\225\345\215\267.pdf" new file mode 100644 index 0000000000000000000000000000000000000000..831fe24c54a52b04e311738eff11cb47f0aa2ad7 GIT binary patch literal 80767 zcma&MW2~sn5^#C8ZQHhO+qP}nwr$(q`)u2`ZCi7{WG1w27^mvpGI9 z11lphFQk*RqltkHr2EFSwnp4hD}wKA-Px!HdQH3vHSW&+9|m}`F(LTD&pj%*8eZs4 z4I)rL;~c#_!ipeeG_4DVL3&gu3ueSP&R$OTt~@u-vbVe)jx`P}PCVDq*RMUguivii zvRhZbFX`LnOa7$wp02CFYw>woxt!Loy{Bm=_b7V~jP`7Zfpr2M>};L5o2&e?!%4o~ z?-;RuM`Ro6GMzn+18~W8T?(`ZlnMhhN5in*jFGSI3#9^q-CS}mzz$<2nYRcE?Pw=2{zVGwt=O;}U zfx#)XMfBnF01vr5$)dBF;0SHeXF9JvtNM3KpUy;{3?Q9i3}~tzJkqyO`hXRdjFDZx z&nHoI0Iu69!=fmJ=pcu1HoF)2uSK%=!eRh`^j@NK-c-@xnRN#RV)+!nv!TG0cHxCJ%0N@`^@FMGW%p 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