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 Bachelor Common Required Courses 
 Please see: http://pdc.adm.ncu.edu.tw/eng/rule/NCU_Doc11_ed.pdf 
 Required Courses 
 
 Elective Course Introduction to Computer II (MA1014) Basic Mathematics (MA1015) Algebra II (MA2026) Elementary Differential Equations II (MA2042) Computer Programming and Application (MA2051) Advanced Calculus III(MA2047) Discrete Mathematics I (MA3034) Geometry I (MA4005) Topics in Algebra (MA3031) Numerical Analysis I (MA3021) 
 Master Basic Courses <Real Analysis> <Algebra> <Differential Geometry> <Differential Equations> <Theory of Statistical Inference> or <Probability Theory> <Graph Theory> <Numerical Analysis> Advanced Courses <Functional Analysis> <Algebraic Geometry> or <Representation Theory> or <Number Theory> <Algebraic Topology> <Partial Differential Equations> <Discrete Math> <Theory of Stochastic Processes> <Finite Element Methods> Core Courses for Applied Mathematics Differential Equations: <Differential Equations I> <Differential Equations II> Numerical Analysis: <Numerical Analysis I> <Numerical Analysis II> Discrete Math: <Graph Theory I> <Graph Theory II> Probability and Statistics: <Theory of Statistical Inference I> <Theory of Statistical Inference II> <Probability Theory I> <Probability Theory II> Programming: < Computer Programming and Application> Other requirements ★Pass an oral defense of thesis. 
 Ph.D. Basic Courses <Real Analysis> <Algebra> <Differential Geometry> <Differential Equations> <Theory of Statistical Inference> or <Probability Theory> <Graph Theory> <Numerical Analysis> Advanced Courses <Functional Analysis> <Algebraic Geometry> or <Representation Theory> or <Number Theory> <Algebraic Topology> <Partial Differential Equations> <Discrete Math> <Theory of Stochastic Processes> <Finite Element Methods> Other requirements ★Pass doctoral candidacy qualification examination within the first two years. ★Pass an oral defense of thesis. 
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