All courses have 3 units of credit unless specified by a number in ( )1 Homology Theory 2 Ordinary Differential Equations 3 Differential Geometry of Fiber Bundles 4 Differential Manifolds 5 Multivariable Complex Functions 6 Algebraic Combinatorial Theory 7 Finite Field 8 Representation Theory of Groups 9 Theory of Finite Groups 10 Selected Topics in Group Theory 11 Methods of Modern Mathematical Physics12 Selected Topics on ODEs 13 Geometric Analysis 14 The Calculus of Variations 15 Hyperbolic Partial Differential Equations 16 Abstract Algebra (4) 17 Complex Analysis 18 Partial Differential Equations 19 Topics in Geometric Topology 20 Low Dimensional Topology 21 Homological Algebra 22 Smooth Ergodic Theory 23 Modern Harmonic Analysis and Application 24 Low Dimensional Topology II 25 Symplectic Geometry 26 Introduction to Noncommutative Geometry 27 Geometry Analysis II 28 Group Theory 29 Elliptic partial differential equations of second order 30 Linear Algebraic Groups 31 Riemannian Geometry I 32 Differential Topology 33 Functional Analysis II 34 Real Analysis 35 Foundations of Nonlinear Analysis 36 Homotopy Theory 37 Algebraic Number Theory 38 Combinatorial Mathematics 39 Applied Stochastic Processes 40 Differential Geometry 41 Abstract Algebra II 42 Differential Manifolds (1) 43 Elementary Number Theory 44 Riemannian Surfaces 45 Commutative Algebra46 Mathematical Methods in Classical Mechanics 47 Introduction to the convergence and collapsing theory in Riemannian geometry 48 Basic Algebraic Geometry 49 Lie Groups and Representations 50 Harmonic Analysis 51 Dynamical Systems 52 Lie Groups and Homogeneous Spaces 53 Topology 54 Partial Differential Equations 55 Qualitative theory of differentiable dynamical systems 56 Algebraic Geometry II 57 Representation Theory of Lie Groups and Lie Algedras 58 Topics in Partial Differential Equations 59 Topics in Algebra 60 Selected topics in Algebraic Topology 61 Modular Forms (1) 62 Ergodic Theory 63 Cryptology 64 Riemannian Geometry II 65 Morse Theory 66 Number Theory I 67 Introduction to Geometric Group Theory 68 Several Complex Variables (2) 69 From Icosahedron to the Monster: Geometry, Algebra, Arithmetic and Physics (2) 70 Floer Homology and Low-dimensional Topology71 Kaehler Geometry 72 Lectures on Applied Partial Differential Equations 73 Geometry of Manifolds 74 Analytic Number Theory 75 Arithmetic of Modular Forms 76 Comparison Theorems in Riemannian Geometry 77 The Monge-Ampère Equation and Affine Differential Geometry 78 Topics in Modern Mathematical Physics 79 Introduction to Conformal Field Theory 80 Hyperbolic Geometry 81 Kaehler Geometry of Loop Spaces 82 Introduction to Contact Topology 83 Basis of Algebraic Geometry 84 Motives，Hodge Theory and Galois Representations (2) 85 Introduction to Characteristic Classes and Index Theory (2) 86 Foliations 87 Topics in Algebraic Geometry 88 Selected Topics in Differential Topology 89 Topics in Modern Mathematical Physics II (2) 90 Reflection Groups and Coxeter Groups 91 An Introduction to Classical Groups 92 Applied Partial Equations 93 Mathematical Biophysics 94 Multigrid adaptive finite element methods (2) 95 Stochastic Simulation Methods96 Fluid Mechanics II 97 Theories and Methods for Optimization 98 Computational Fluid Dynamics 99 Numerical Algebra II 100 Parallel Computation II 101 Multiscale Modeling and Computation 102 Finite Element Method II 103 Applied PDE (2) 104 Introduction to Fluid Mechanics I 105 Inverse Problem of Mathematical Physics 106 Numerical PDE 107 Convex Optimization 108 Topics in Stochastic Modeling and Simulations 109 Selected Multilevel Algorithms and Randomized Algorithms 110 Algorithms for Big Data Analysis 111 Computational Systems Biology 112 Optimization Methods 113 Simulation and Monte-Carlo Methods 114 Finite Difference Method II 115 Algorithms for Combinatorial Optimization 116 Topics in Distributed Computing and Network 117 CAD in Control Systems 118 Boundary Integral Method 119 Spatial Tessellations and Topics in Computational Geometry (2) 120 Numerical solutions of ordinary differential equations (2) 121 Quantitative Analysis for Derivatives of Credit and Interest Rate (2) 122 Structure-preserving Discretization and Multi-scale Solution Methods for Differential Forms and Equations 123 Nonparametric Statistics 124 Biostatistics 125 Random Point Process126 Selected Topics on Stochastic Processes I 127 Stochastic Processes 128 Advanced Time Series Analysis 129 Advanced Regression Analysis 130 Case Study of Probability and Statistics 131 Advanced Theory of Probability 132 Sampling Survey 133 Advanced Theory of Probability 134 Stochastic Processes 135 Experimental Design 136 Semiparametric Model 137 Stochastic Processes II 138 Applied stochastic analysis 139 Advanced Theory of Statistics 140 Measure Theory 141 Advanced Statistical Computation 142 Stochastic Analysis 143 Advanced Theory of Statistics 144 Limit Theorems of Probability 145 Survival Analysis and Reliability Theory146 Multivariate Statistical Analysis 147 Applied Time Series Analysis 148 Probability Theory 149 Clinical Trial Design and Analysis 150 SAS Programming in Clinical Trials 151 Selected Topics on Advanced Statistics I 152 Selected Topics on Advanced Statistics II 153 Selected Topics on Stochastic Processes II 154 Mathematics of Data 155 Applied Regression Analysis 156 Distributed Computation for Big Data 157 Statistical Inference 158 Advanced Statistical Software Programming 159 Statistical Bases for Big Data Analysis 160 Stochastic Mathematics 161 Applied Survey Sampling 162 Data Mining and Machine Learning for Big Data 163 Bayesian Theory and Computation 164 Applied Design of Experiments 165 Case Study of Statistics 166 Modern Statistical Data Analysis 167 Unstructured Big Data Analysis 168 Statistical Modeling for Big Data 169 High-Dimensional Data Analysis and Statistical Inference 170 Computer Bases for Big Data Analysis171 Unstructured Big Data Analysis 172 Statistical Learning 173 Applied Multivariate Statistical Analysis 174 Quantile Regression Analysis 175 Introduction to Stochastic Processes 176 Stochastic Processes and Statistical Mechanics 177 Causal Inference and Big Data in Statistics (2) 178 Seminars on Data Science and Statistical Machine Learning 179 Sequential Analysis 180 Stochastic Dynamical Models in Life Sciences 181 Applied Survival Analysis 182 A Mathematical Introduction to Data Analysis 183 Categorical Data Analysis 184 Statistical Methods and Applications in Bioinformatics 185 Topics in Modern Information Processing 186 Coding Theory 187 Image Processing 188 Formal Methods in Software Development 189 Selected Topics on Software Theory and Methods 190 Symbolic Computation 191 Operation Research 192 Artificial Intelligence 193 Pattern Recognition 194 Formal Languages and Automata 195 Informatics and Signal Processing196 Principles of Programming Languages 197 Design and Analysis of Algorithms 198 Mathematical Methods in Biomedical Imaging 199 Machine Learning 200 Fundamentals of Theoretical Computer Science 201 Artificial Neural Networks 202 Digital Signal Processing 203 Foundations of Information Science 204 Intelligent Computation 205 Information Security 206 Mathematical Logic 207 Digital Signal Processing 208 Spectral Methods 209 Computer Graphics 210 Data Mining 211 Mathematical Theory for Information Optics and Its Applications 212 Mathematical Image Processing 213 Mathematical Logic and Metamathematics 214 Mathematical methods in Risk Management 215 Advanced Statistical Models for Finance 216 Risk Management and Financial Regulation 217 Portfolio Management 218 Stochastic Mathematics in Finance 219 Financial Economics (2) 220 Mathematical Models and Methods of Financial Derivatives Pricing221 Foundation of Economic Dynamics 222 Non-life Insurance Mathematics 223 Application of Actuarial Principles (2) 224 Analysis of Financial Time Series (2) 225 Topics on Financial Mathematics & Actuarial Science (2) 226 Derivative Model 227 Financial Risk Analysis 228 Risk Theory (2) 229 Seminar on Actuarial Science 230 Seminar on Security Investment 231 Seminar on Risk management 232 Seminar on Financial Statistics 233 Seminar on Derivative Pricing 234 Seminar on Asset Pricing 235 Theory and Practice of Risk Measurement (2) 236 Quantitative Trade (2) 237 Teaching Practice (2)
