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.
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MTH102
J,E
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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.
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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.
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MTH105
J
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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MTH382
J
|
CREDIT:2
SPRING
|
Advanced Seminar in Mathematics I
Seminar on an advanced theme of mathematics.
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MTH383
J
|
CREDIT:2
AUTUMN
|
Advanced Seminar in Mathematics II
Seminar on an advanced theme of mathematics.
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MTH384
E
|
CREDIT:2
WINTER
|
Advanced Seminar in Mathematics III
Seminar on an advanced theme of mathematics.
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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.
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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.
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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.
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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.
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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.
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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.
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QNMC501
E
|
CREDIT:2
AUTUMN
Offered Alternate Year
|
Advanced Studies in Algebra and Geometry
Algebraic or geometric methods and their applications.
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QNMC507
E
|
CREDIT:2
AUTUMN
|
Advanced Studies in Mathematics
Selected topics from specific fields in mathematics.
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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.
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