The following table lists are the mathematical courses for all undergraduate students in PKU in Autumn Semester.
Course title |
Course type |
Credit Hour |
Credit |
Mathematical Analysis (I) Class 1 |
Major core course |
6 |
5 |
Mathematical Analysis (I) Class 2 |
Major core course |
6 |
5 |
Advanced Algebra (I) Class 1 |
Major core course |
6 |
5 |
Advanced Algebra (I) Class 2 |
Major core course |
6 |
5 |
Geometry Class 1 |
Major core course |
6 |
5 |
Geometry Class 2 |
Major core course |
6 |
5 |
Mathematical Analysis (I) (H) |
Major core course |
6 |
5 |
Advanced Algebra (I) (H) |
Major core course |
6 |
5 |
Geometry (H) |
Major core course |
6 |
5 |
Data Structures |
Major core course |
3 |
3 |
Selected Topics in Abstract Algebra |
Major core course |
2 |
2 |
Selected topics from Mathematical Analysis III |
Major core course |
2 |
2 |
Mathematical Analysis (III) Class 1 |
Major core course |
5 |
4 |
Mathematical Analysis (III) Class 2 |
Major core course |
5 |
4 |
Mathematical Analysis (III) (H) |
Major core course |
5 |
4 |
Abstract Algebra Class 1 |
Major core course |
3 |
3 |
Abstract Algebra Class 2 |
Major core course |
3 |
3 |
Topology |
Major core course |
3 |
3 |
Numerical Algebra |
Elective course |
3 |
3 |
Mathematical Logic |
Elective course |
3 |
3 |
Differential Geometry |
Major core course |
3 |
3 |
Partial Differential Equations |
Elective course |
3 |
3 |
Functions of Real Variables |
Major core course |
3 |
3 |
Introduction to Financial Mathematics |
Elective course |
3 |
3 |
Mathematical Biophysics |
Elective course |
3 |
3 |
Applied Stochastic Processes |
Elective course |
3 |
3 |
Topics on Core Mathematic Subjects II |
Elective course |
2 |
2 |
Fundamentals of Theoretical Computer Science |
Elective course |
3 |
3 |
Mathematical Statistics |
Elective course |
3 |
3 |
Introduction to Stochastic Processes |
Elective course |
3 |
3 |
An Introduction to Analysis of Financial Data |
Elective course |
3 |
3 |
Functions of Real Variables and Functional Analysis |
Elective course |
4 |
4 |
Statistical Learning |
Elective course |
3 |
3 |
Operation Research |
Elective course |
3 |
3 |
Digital Signal Processing |
Elective course |
3 |
3 |
Lie Groups and Their Representations |
Elective course |
3 |
3 |
Seminar on Securities |
Major core course |
3 |
6 |
Undergraduate Seminar(derivatives) |
Major core course |
3 |
6 |
Applied Multivariate Statistical Analysis |
Elective course |
3 |
3 |
Applied Time Series Analysis |
Elective course |
3 |
3 |
Seminar on fixed income securities and credit risks |
Major core course |
3 |
6 |
Financial Economics |
Elective course |
3 |
3 |
An introduction to classical groups |
Elective course |
3 |
3 |
Numerical Solution of Partial Differential Equations |
Elective course |
3 |
3 |
Convex Optimization |
Elective course |
3 |
3 |
Seminar on algebraic number theory |
Elective course |
3 |
3 |
Numerical Methods: Principles, Algorithms and Applications |
Lliberal course |
3 |
3 |
Statistics |
Lliberal course |
3 |
3 |
Reflection groups and Coxeter groups |
Graduate level course |
3 |
3 |
Bayesian Theory and Computation |
Graduate level course |
3 |
3 |
Lectures on applied partial differential equations |
Graduate level course |
2 |
2 |
Causal Inference and Big Data in Statistics |
Graduate level course |
2 |
2 |
Introduction to Riemannian Geometry |
Graduate level course |
3 |
3 |
Homology Theory |
Graduate level course |
3 |
3 |
Analysis And Design of Algorithms |
Graduate level course |
3 |
3 |
Functional Analysis (II) |
Graduate level course |
3 |
3 |
Commutative Algebra |
Graduate level course |
3 |
3 |
Geometric Analysis |
Graduate level course |
3 |
3 |
Numerical AlgebraⅡ |
Graduate level course |
3 |
3 |
Parallel Computation II |
Graduate level course |
3 |
3 |
Pattern Recognition |
Graduate level course |
3 |
3 |
Algebraic Geometry II |
Graduate level course |
3 |
3 |
Finite Element MethodⅡ |
Graduate level course |
3 |
3 |
Ergodic Theory |
Graduate level course |
3 |
3 |
Topics in Modern Information Processing |
Graduate level course |
3 |
3 |
Stochastic Processes II |
Graduate level course |
3 |
3 |
Advanced Theory of Probability |
Graduate level course |
3 |
3 |
Advanced Theory of Statistics |
Graduate level course |
3 |
3 |
Abstract AlgebraⅡ |
Graduate level course |
3 |
3 |
Applied Partial Differential Equations |
Graduate level course |
3 |
3 |
Topics in Geometric Topology |
Graduate level course |
3 |
3 |
Information Security |
Graduate level course |
3 |
3 |
Methods of Modern Mathematical Physics |
Graduate level course |
3 |
3 |
Methods of Stochastic Simulations |
Graduate level course |
3 |
3 |
Advanced Statistical Computation |
Graduate level course |
3 |
3 |
Machine Learning |
Graduate level course |
3 |
3 |
Artificial Neural Networks |
Graduate level course |
3 |
3 |
This is the list of courses in Spring Semester:
Course title |
Course type |
Credit hour |
Credit |
Mathematical Analysis (II) Class 1 |
Major core course |
6 |
5 |
Mathematical Analysis (II) Class 2 |
Major core course |
6 |
5 |
Mathematical Analysis (II) (H) |
Major core course |
6 |
5 |
Advanced Algebra (II )Class 1 |
Major core course |
5 |
4 |
Advanced Algebra (II )Class 2 |
Major core course |
5 |
4 |
Advanced Algebra (II )(H) |
Major core course |
5 |
4 |
Geometry II (H) |
Major core course |
5 |
4 |
Theory of Functions of Complex Variables Class 1 |
Major core course |
3 |
3 |
Theory of Functions of Complex Variables Class 2 |
Major core course |
3 |
3 |
Ordinary Differential Equations Class 1 |
Major core course |
3 |
3 |
Ordinary Differential Equations Class 2 |
Major core course |
3 |
3 |
Probability Theory Class 1 |
Major core course |
3 |
3 |
Probability Theory Class 2 |
Major core course |
3 |
3 |
Probability Theory(H) |
Major core course |
3 |
3 |
Mathematical Modeling |
Major core course |
3 |
3 |
Functional Analysis |
Major core course |
3 |
3 |
Statistics |
Liberal course |
3 |
3 |
Music and Mathematics |
Liberal course |
2 |
2 |
Geometry Seminar |
Elective course |
3 |
3 |
Seminar on Algebra |
Elective course |
3 |
3 |
Seminar on Analysis |
Elective course |
3 |
3 |
An Introduction to applied mathematics |
Elective course |
3 |
3 |
Topics on Core Mathematic Subjects I |
Elective course |
2 |
2 |
The Calculus of Variations |
Elective course |
3 |
3 |
Fundamentals of Information Science |
Elective course |
3 |
3 |
Introduction to Differentiable Manifolds |
Elective course |
3 |
3 |
Computer Graphics |
Elective course |
3 |
3 |
Introduction to Numerical Analysis |
Elective course |
3 |
3 |
Optimization Methods |
Elective course |
3 |
3 |
Security Investment |
Elective course |
3 |
3 |
Modular Forms |
Elective course |
3 |
3 |
Cryptography |
Elective course |
3 |
3 |
Learning by research |
Elective course |
3 |
3 |
Measure Theory |
Elective course |
3 |
3 |
Applied Regression Analysis |
Elective course |
3 |
3 |
Set Theory and Graph Theory |
Elective course |
3 |
3 |
Computer Image Processing |
Elective course |
3 |
3 |
Seminar for Lowerclassman (1) |
Elective course |
3 |
3 |
Life Insurance Mathematics |
Elective course |
3 |
3 |
Combinatorics |
Elective course |
3 |
3 |
Fundamentals of Financial Derivatives |
Elective course |
3 |
3 |
Basis of Algebraic Geometry |
Elective course |
3 |
3 |
Introduction to Statistical Data Science |
Elective course |
3 |
3 |
Applied stochastic calculus |
Elective course |
3 |
3 |
Selected Topics in Abvanced Algebra II |
Elective course |
2 |
2 |
Algorithms for Big Data Analysis |
Elective course |
3 |
3 |
basic theory of numbers |
Elective course |
3 |
3 |
Introduction to Characteristic Classes and Index Theory |
Elective course |
2 |
2 |
Graduate Thesis(2)（Computational Mathematics） |
Major required course |
3 |
6 |
Graduate Thesis(2)（Computational Mathematics） |
Major required course |
3 |
6 |
Graduate Thesis(2)（Computational Mathematics） |
Major required course |
3 |
6 |
Asset Pricing Seminar for Undergraduate |
Major required course |
3 |
6 |
Seminar on financial data analysis and modeling |
Major required course |
3 |
6 |
Graduate Thesis |
Major required course |
3 |
6 |
Topics in Stochastic Modeling and Simulations |
Graduate level course |
3 |
3 |
Mathematical Image Processing |
Graduate level course |
3 |
3 |
Selected Topics in Differential Topology |
Graduate level course |
3 |
3 |
Computational Systems Biology |
Graduate level course |
3 |
3 |
Foliations |
Graduate level course |
3 |
3 |
Topics in Algebraic Geometry |
Graduate level course |
3 |
3 |
Differential Topology |
Graduate level course |
3 |
3 |
Mathematical Methods of Classical Mechanics |
Graduate level course |
3 |
3 |
Algebraic Number Theory |
Graduate level course |
3 |
3 |
Dynamical Systems |
Graduate level course |
3 |
3 |
Selected Topics on ODEs |
Graduate level course |
3 |
3 |
Design of experiments |
Graduate level course |
3 |
3 |
Computational Fluid Dynamics |
Graduate level course |
3 |
3 |
Complex Analysis |
Graduate level course |
3 |
3 |
Artificial Intelligence |
Graduate level course |
3 |
3 |
Modern Partial Differential Equations |
Graduate level course |
3 |
3 |
Algebraic Geometry II |
Graduate level course |
3 |
3 |
Inverse Problem of Mathematical Physics |
Graduate level course |
3 |
3 |
Stochastic Processes |
Graduate level course |
3 |
3 |
Applied Partial Differential Equations |
Graduate level course |
3 |
3 |
Mathematical Methods in Biomedical Imaging |
Graduate level course |
3 |
3 |
Symplectic Geometry |
Graduate level course |
3 |
3 |
Topics in partial Differential Equations |
Graduate level course |
3 |
3 |
Finite Difference Method II |
Graduate level course |
3 |
3 |
Finite Fields |
Graduate level course |
3 |
3 |
Symbolic Computation |
Graduate level course |
3 |
3 |
Theory of Group Representations |
Graduate level course |
3 |
3 |
Real Analysis |
Graduate level course |
3 |
3 |
Homotopy Theory |
Graduate level course |
3 |
3 |
Foundations of Nonlinear Analysis |
Graduate level course |
3 |
3 |