Textbook used by the school: Wu Fei, Introduction to Artificial Intelligence: Models and Algorithms
The teacher will post each PPT; a sprint review a week before the exam is enough.
PS: Interested students can read Artificial Intelligence: A Modern Approach (4th edition) (Stuart Russell). (Teacher highly recommended edition) Professor Zuo said his agent chapter PPT was borrowed from this book.
Textbook used by the school: Diaozaiyun “Operations Research”
No extra study is needed; just follow Professor Liu Jia’s PPT. He will turn last year’s exam questions into regular assignments. If you do the regular assignments yourself, the exam won’t be any worse.
Textbook used by the school: Zhang Gongqing “Lecture Notes on Functional Analysis”
Domestic:
Sun Jiong “Functional Analysis” (Higher Education Press)
The whole book is rich in examples, easy to understand, and comes with many exercises. Although this book’s style is basically orthogonal to Professor Xu Xiaoxi’s exam style, it is indeed very suitable for the first pass of learning functional analysis (I only encountered this book in mid‑December, and I really wish I had it during the summer break).
Xu Quanhua “Lecture Notes on Functional Analysis”
This was recommended by a senior; he used it to review for the graduate entrance exam and it is indeed well written. When I self‑studied functional analysis in the sophomore summer, I used this book, but only got to the chapter on Hilbert spaces. Personally I felt it was a bit tough, so I didn’t continue (sigh, maybe I lack talent; I still think that for the first pass, a book with abundant, easy‑to‑understand examples is better).
International:
Brezis “Functional Analysis, Sobolev Spaces and Partial Differential Equations”
Interested students can take a look; I heard it’s a classic, but I really don’t have time to read it A senior majoring in pure math said that if you only need the course‑level functional analysis, just read chapters 1, 2, 3, 5, 6.
PS: Personal opinion: Professor Xu Xiaoxi uses his own PPT for teaching; before the midterm the material is relatively simple and tolerable; after the midterm, when the Hahn‑Banach theorem and reflexive spaces appear, the teacher often lectures while I’m trying to catch up… Juniors, remember to preview each class if possible.
Midterm scores (rumor)
2021 class: highest 43, average 20
2022 class: highest 35, average 15
Maybe the 2021 midterm was too easy (?) so the final was all new questions. According to Professor XXX, the exam was a disaster. This led to the situation that when grading, if a student wrote the correct theorem name, regardless of details, the grader would give a high score (15 points for anything above 10). The 2021 class was his first cohort. After learning from the previous year, before the 2022 final, Professor XXX said in class that the final would have 6 questions, of which 4‑5 would come from PPT/midterm/assigned homework/exercise‑class supplement (maybe slightly modified), and 1‑2 would be completely new. That turned out to be true. Perhaps the 攻略 is “midterm a bit weak, final lenient”
Later: grades came out, about 10 points lower than expected
Junior year first semester Mathematical Statistics:
(This year it has been changed to teachers Yu Dalei and Li Xingxiang)
Textbook used by the school: Mao Shisong 《Probability Theory and Mathematical Statistics》
If the instructors are the two above, please pull yourself together, carefully review the teacher’s PPT, and stop thinking that “proof problems in mathematical statistics are fewer than calculation problems” The midterms and finals are truly difficult…
Junior year first semester Natural Language Processing:
Textbook used by the school: Zong Chengqing “Statistical Natural Language Processing”
(In fact, the class is actually taught according to Professor Jiang’s PPT)
Professor Jiang is a great person I feel he’s the best teacher this semester, the exam papers are also the simplest, just choose and you’re done (if you need past exam questions, DM me)
PS: As of today I haven’t written my NLP project yet, sigh, I’ll start tomorrow.
Junior year first semester Partial Differential Equations:
Textbook used by the school: Jiang Lishang “Lecture Notes on Mathematical Physics Equations”
Domestic (reference numbers from Professor Jia Junxiong’s class):
Zhou Shulin “Partial Differential Equations” (Peking University Press)
jjx’s exam questions often test the remarks after theorems in Jiang Lishang’s book; some of the proofs of those remarks are in Zhou Shulin’s text.
Chen Caisheng “Mathematical Physics Equations”
jjx says his exam questions are all drawn from the textbook main text, assignments, and this book. He adds that students who want to boost their scores can study the book, but he does not recommend it.
International:
Evans “PDE”
Evans is one of the famous “Jiang Ping three‑piece set”. jjx also recommends this book. If you plan to work on PDE‑related topics in the future, you might consider tackling this book.
Textbook listed in the syllabus: Zhou Zhihua “Machine Learning”
In fact, Professor Meng Deyu follows the PPT, and the exam scope is also his PPT. Passing should be fairly easy, but getting a high score may be difficult. Grade composition = 60 labs + 40 final exam (at least 3 labs, no limit on number; submit an electronic report, topic self‑chosen, as long as it is related to machine learning)
[details=“This year’s recall version”]
If a machine learning algorithm has high accuracy on the training set but low on the test set, analyze the phenomenon and provide at least three solutions (25 points)
Analyze the least‑squares algorithm from both the machine‑learning and numerical‑approximation perspectives (20
Junior Year Second Semester Modern Mathematics Selected Lectures:
Textbook used by the school: Jiang Yaolin “New Methods in Engineering Mathematics”
Professor Wang Bin teaches according to the PPT that corresponds to this book. The assessment method is to submit a course paper; anything related to the course content can be written about. There is no final exam, attendance has not been checked, grades have not been released yet, so it’s unclear whether the score will be “beautiful” (I feel Professor Wang is quite laid‑back, so it’s likely to be good).
Textbook used by the school: Xu Shufang, Gao Li, Zhang Pingwen “Numerical Linear Algebra”
Professor Wang Fei taught according to his own PPT, which differs from the textbook. The exam scope also follows the PPT. Grading composition = 60% assignments (4 × 10 assignments + 1 × 20 final paper) + 40% final exam.
Basically all the key points were covered, and the question types were quite flexible. I didn’t do very well, and grades haven’t been released yet. However, according to Professor Wang, this course will be cancelled for the next cohort, so I don’t really need to share any key points. I post this as a tribute to this 2‑credit course.
Update: It was indeed unsatisfactory; the score is at the lower bound of my estimated range
Junior Year Second Semester Intelligent Perception and Mobile Computing:
Textbook used by the school: None, listen to Professor Huiwei’s lectures, a new textbook is being compiled soon.
The whole course is taught by two teachers, Huiwei and Wang Ge. Professor Hui mainly covers sensors and computer networking, while Professor Wang Ge focuses on the mobile computing part. The exam scope follows the teachers’ PPTs, and the grade composition = 30% regular (assignments + thought questions) + 70% final exam.
Exam paper composition: 30 multiple‑choice questions (15 × 2) + 40 calculation/short‑answer questions (8 × 5) + 30 long questions (15 × 2). There are no overly obscure or deep questions. The exam questions are not difficult; many students submitted their papers an hour early. Thanks to the teachers for being len
Third-year second semester Multivariate Data Analysis and Statistical Software:
Textbook used by the school: “Data Analysis Methods” by Mei Changlin
Exam scope follows the teacher’s PPT (will include more content than the textbook). Grade composition = 50% regular (20 homework + 30 major assignment) + 50% final exam. I personally feel the knowledge points are quite fragmented, making comprehensive review difficult (maybe because my statistics‑related subjects clash)
Exam points mentioned in class
Multivariate Data Analysis:
Objective: fill‑in‑the‑blank questions (8 questions, 4 points each)
Long questions: calculations, proofs, and extracting information from R output.
Chapter 1: Descriptive analysis of data (at least 2 fill‑in‑the‑blank questions)
Descriptive features of numbers
Given some numbers, use upper and lower cutoff points to judge outliers
Assess skewness and kurtosis from plots
Purpose of goodness‑of‑fit tests
Measures of correlation
Data standardization (small data sets, use a calculator)
Chapter 2: Multivariate normal distribution (proof questions)
Equivalence of the four definitions, properties and applications
Properties of parameter estimators
Typical distributions: Wishart, Hotelling T², etc.
Given conditions, determine which test statistic to use
Chapter 3: Regression analysis (proof questions)
Model and parameter estimation, and properties of the estimators (proof)
Statistical inference and prediction: testing overall regression relationship, testing regression coefficients, predicting the response Y
Residual analysis: checking model adequacy
Remark: hypothesis tests related to regression coefficients
Past fill‑in‑the‑blank: given several variables and the null hypothesis requirements, write the reduced model (remember to include the error term!)
General form of a logistic regression model
Chapter 4: Analysis of variance
Basic form of ANOVA
Procedures for one‑factor and two‑factor ANOVA
Past questions: complete one‑factor and two‑factor ANOVA tables
Chapter 5: Principal component analysis, canonical correlation analysis
PCA: given a matrix, compute principal components
Canonical correlation analysis: given a matrix and eigenvectors, perform the analysis
Factor analysis: basic concepts and model form, interpretation of the associated quantities
Calculator allowed.
Example 1: Build a logistic regression model (write its form); given a new observation, predict the response variable.
Example 2: Extract information from R output and interpret the results.
Differential Geometry (Junior Year, Second Semester):
Textbook used by the school: Introduction to Differential Geometry by Ma Yue, Zhang Zhengce
The exam covers the entire book. Grade composition = 20% regular assessments + 80% final exam.
Exam format: 20 true/false questions (2 × 10) + 20 fill‑in‑the‑blank questions (2 × 10) + 45 computational problems + 15 proofs.
In class, the instructor said that the requirements for the foundational and major‑category exams would be a bit lower than for the math exam. Moreover, we were lucky this year