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For Students Entered in or after AY2008
Mathematics

MTH101   J CREDIT:3   WINTER  
Calculus I

Calculus of one-variable and many-variable functions in continuation to Introduction to Mathematics. Includes differentiation and integration of functions of one variable, the concept of continuity, partial derivatives, extrema problem, and multiple integrals. Prerequisite: high school calculus (Mathematics III) or Introduction to Mathematics. Two periods of lecture and two periods of recitation weekly.
MTH102   J,E CREDIT:3   SPRING+AUTUMN  
Introduction to Mathematics

Covers the basic concepts necessary for college-level mathematics, mainly foundation of calculus of one-variable functions. The content of lecture is not premised on the completion of high school mathematics. Two periods of lecture and two periods of recitation weekly.
MTH103   J,E CREDIT:3   AUTUMN+WINTER  
Linear Algebra I

Introductory courses on linear algebra basic to further study in mathematics. Includes vectors, matrices, rank of a matrix, determinants, solutions of systems of linear equations, eigenvalues, eigenvectors and matrix representation of linear transformations. Two periods of lecture and two periods of recitation weekly.
MTH105   J CREDIT:2   SPRING  
Hot Topics in Mathematical Sciences

This course presents hot topics in mathematical sciences from a wide perspective and discusses breadth and depth of mathematics.
MTH211   J CREDIT:2   SPRING  
Calculus II

Vector calculus, including necessary topics in calculus of many-variable functions. Includes derivation of vector-valued functions, line and surface integrals, theorem of Stokes, theorem of Gauss and potential fields. One period of lecture and two periods of recitation weekly. Prerequisite: Calculus I.
MTH212   J CREDIT:2   AUTUMN  
Function Theory of One Complex Variable

Calculus of complex functions. Includes derivatives and integrals of functions of a complex variable, power series, calculus of residues and analytic continuation. One period of lecture and two periods of recitation weekly. Prerequisite: Calculus.
MTH213   J CREDIT:2   WINTER  
Theory of Differential Equations

Introduction to the theory of differential equations. Includes linear ordinary differential equations, existence theorem of solutions and eigenvalue problems. One period of lecture and two periods of recitation weekly. Prerequisite: Calculus.
MTH214   J CREDIT:2   AUTUMN  
Basic Concepts in Mathematics II (Foundation of Analysis)

Critical review of basic concepts in calculus. Includes continuity, structure of real numbers, limits, continuous functions, Riemannian integrals, convergence of series. One period of lecture and two periods of recitation weekly. Recommended to be taken after BASIC CONCEPTS IN MATHEMATICS I.
MTH231   E CREDIT:2   WINTER  
Topics in Linear Algebra

Further study of selected topics of Linear Algebra in continuation of Linear Algebra II. Includes eigenvalues, eigenvectors, numerical diagonalization and standard form of a matrix, and quadratic forms. One period of lecture and two periods of recitation weekly. Prerequisite : Linear Algebra II.
MTH232   J CREDIT:2   SPRING  
Basic Concepts in Mathematics I (Sets and Algebraic Structures)

Foundation of sets and algebraic structures basic to modern mathematics. Includes sets and mappings, equivalence relations and equivalence classes, cardinal, and algebraic structures. One period of lecture and two periods of recitation weekly.
MTH233   J CREDIT:2   SPRING  
Linear Algebra II

General theory of vector spaces in continuation to Linear Algebra I. Includes the concept of general vector spaces (including a complex vector space), linear independence, linear transformations and their matrix representations, and vector spaces with metric. One period of lecture and two periods of recitation weekly; Linear Algebra I.
MTH251   J CREDIT:2   WINTER  
Basic Concepts in Mathematics III (General Topology)

Introduction to topological structures basic to modern mathematics. Includes metric spaces, topological spaces, connectedness, compactness, separation axioms. One period of lecture and two periods of recitation weekly. Recommended to be taken after BASIC CONCEPTS IN MATHEMATICS I, II.
MTH271   J CREDIT:2   AUTUMN  
Introduction to Probability and Statistics

To study the foundations of probability and mathematical statistics. Two periods of lecture weekly. Prerequisite : INTRODUCTION TO CALCULUS.
MTH272   J CREDIT:2   WINTER  
Probability and Statistics

Further study of probability and statistics. Includes theory of probability, descriptive statistics, inductive stochastics. Two periods of lecture weekly. Prerequisite : CALCULUS, INTRODUCTION TO PROBABILITY AND STATISTICS.
MTH311   J CREDIT:2   SPRING  
Analysis I

Introduction to modern analysis. Includes theory of measure, Lebesgue and Stieltjes integrals, Hilbert spaces, Banach spaces, Fourier analysis and distributions. One period of lecture and two periods of recitations weekly. Prerequisite: Calculus. Recommended to be taken after BASIC CONCEPTS IN MATHEMATICS II.
MTH312   J CREDIT:2   AUTUMN  
Analysis II

Introduction to modern analysis. Includes theory of measure, Lebesgue and Stieltjes integrals, Hilbert spaces, Banach spaces, Fourier analysis and distributions. One period of lecture and two periods of recitations weekly. Prerequisite: Calculus. Recommended to be taken after BASIC CONCEPTS IN MATHEMATICS II.
MTH331   E CREDIT:2   SPRING  
Algebra I

Introduction to modern algebra. Includes group theory and ring theory. One period of lecture and two periods of recitation weekly. Prerequisite: Linear Algebra II. Recommended to be taken after BASIC CONCEPTS IN MATHEMATICS I.
MTH332   E CREDIT:2   AUTUMN  
Algebra II

Introcution to modern algebra. Includes group theory and ring theory. One period of lecture and two periods of recitation weekly. Prerequisite: LINEAR ALGEBRA. Recommended to be taken after BASIC CONCEPTS IN MATHEMATICS I.
MTH351   E CREDIT:2   SPRING  
Geometry I

Introduction to modern geometry. As foundation of manifolds, includes differentiable manifolds, tangent vectors, tangent spaces and metrics. One period of lecture and two periods of recitation weekly. Prerequisite: Calculus, Linear ALGEBRA II. Recommended to be taken after BASIC CONCEPTS IN MATHEMATICS III.
MTH352   E CREDIT:2   AUTUMN  
Geometry II

Introduction to modern geometry. As foundation of manifolds, includes differentiable manifolds, tangent vectors, tangent spaces and metrics. One period of lecture and two periods of recitation weekly. Prerequisite: CALCULUS, LINEAR ALGEBRA II. Recommended to be taken after BASIC CONCEPTS IN MATHEMATICS III.
MTH382   J CREDIT:2   SPRING  
Advanced Seminar in Mathematics I

Seminar on an advanced theme of mathematics.
MTH383   J CREDIT:2   AUTUMN  
Advanced Seminar in Mathematics II

Seminar on an advanced theme of mathematics.
MTH384   E CREDIT:2   WINTER  
Advanced Seminar in Mathematics III

Seminar on an advanced theme of mathematics.
MTH385   J CREDIT:2   SPRING  
Senior Seminar in Mathematics I

Seminar for senior students of mathematics major, where he/she studies advanced subjects in a specific field of mathematics.
MTH386   J CREDIT:2   AUTUMN  
Senior Seminar in Mathematics II

Seminar for senior students of mathematics major, where he/she studies advanced subjects in a specific field of mathematics.
MTH387   J CREDIT:2   WINTER   Offered Alternate Year
Topics in Mathematics I

Aims to provide advanced knowledge of modern mathematics. The topics are selected by the instructor among various fields of analysis, algebra, geometry, etc. Two periods of lecture weekly.
MTH388   J CREDIT:2   WINTER  
Topics in Mathematics II

Aims to provide advanced knowledge of modern mathematics. The topics are selected by the instructor among various fields of analysis, algebra, geometry, etc. Two periods of lecture weekly.
MTH389   J CREDIT:2   WINTER   Offered Alternate Year
Topics in Mathematics III

Aims to provide advanced knowledge of modern mathematics. The topics are selected by the instructor among various fields of analysis, algebra, geometry, etc. Two periods of lecture weekly.
MTH390   J CREDIT:2   WINTER   Offered Alternate Year
Topics in Mathematics IV

Aims to provide advanced knowledge of modern mathematics. The topics are selected by the instructor among various fields of analysis, algebra, geometry, etc. Two periods of lecture weekly.
QNMC501   E CREDIT:2   AUTUMN   Offered Alternate Year
Advanced Studies in Algebra and Geometry

Algebraic or geometric methods and their applications.
QNMC507   E CREDIT:2   AUTUMN  
Advanced Studies in Mathematics

Selected topics from specific fields in mathematics.
STH391   CREDIT:3/(9)   EVERY TERM  
Senior Thesis

Senior students, under the guidance of an advisor, will select a subject related to their major and prepare a senior thesis. The final product should represent the efforts of one year of sustained and rigorous thinking, research, and writing. Required of all students in their senior year.