Objectives:
This
department aims to equip students with fundamental knowledge to acquire and
study any mathematical subjects which interest them, and to a certain extent,
to apply what they have learned. Courses prescribed are divided into three
categories: fundamental, core, and applied courses. Core courses provide
students with the preliminaries needed to be a man of mathematics. In addition,
emphasis is put on subjects such as information science, management science,
economics, and the actuarial approach to provide solid training for future
policy-makers and computer language designers.
General
Courses
Credits
|
|
English |
4 |
|
|
English Lab
Drills |
2 |
|
|
Constitution:
The Foundation Spirit of R.O.C |
4 |
|
|
Basic
Concepts of Computer |
4 |
|
|
Military
Training |
2 |
|
|
Physical Education |
4 |
Major
Courses
Credits
|
|
Calculus |
8 |
|
|
Linear
Algebra |
6 |
|
|
Fundamentals
of Mathematics |
6 |
|
|
Advanced
Calculus |
8 |
|
|
Algebra |
6 |
|
|
Probability
and Statistics |
6 |
|
|
Differential
Equations |
4 |
|
|
Mathematical
Programming |
6 |
|
|
Topology |
6 |
|
|
Complex
Analysis |
6 |
|
|
Differential
Geometry |
6 |
Elective
Courses Credits
|
|
Physics |
4 |
|
|
Economics |
4 |
|
|
Military
Training |
2 |
|
|
Mathematics
for Insurance |
4 |
|
|
Numerical
Analysis |
6 |
|
|
Discrete
Mathematics |
4 |
|
|
Physical
Education |
4 |
|
|
Regression
Analysis |
3 |
|
|
Experimental
Design |
3 |
|
|
Analysis |
6 |
|
|
Seminar |
4 |
|
|
Series
Theory |
4 |
|
|
Algebra Ⅱ |
6 |
|
|
Real
Analysis |
6 |
|
|
Decision
Theory |
6 |
|
|
Mathematical
Statistics |
6 |
|
|
Insurance |
6 |
Course
Description:
This course is designed as to give the students an adequate command of the English language to enable him or her to read works of fiction and non-fiction, newspapers and magazines. In class, emphasis is placed on text explanation in English, reading, listening and group discussion.
The course is designed for use as part of freshman English training, covering two types of drill materials: (1) Conversation Topics, including some specialized conversation in different tenses, intonation and sound. The coordinated reading which follows presents the subject matter for reference and enjoyment. (2)Audio-Visual Approach, taught with film strips on various subjects, designed for the practice of the expressions of daily usage. The strips emphasize the students' participation in the talks on the film subject.
Basic Concepts of Computers (Credits
4)
This is an introductory course on modern computer concepts. It presents the up-to-date computer technologies to students, which includes hardware and software applications. The hardware contains CPU, memory, input and output devices. The software contains compiler and other translator programs, software applications, and system software.
Calculus includes two fundamental concepts: the derivative and definite integral. The concepts of derivative and definite integral are defined by limiting processes. The notion of limit is the initial idea that separates calculus from elementary mathematics. The course is designed to develop the student’s understanding of the theoretic of calculus and its application.
Each theme is developed first for system of linear equations and matrices, then for vector space and Euclidean space, determinant and finally for linear transformation between vector space and diagonalization of matrices.
This course covers the materials necessary for students to succeed in the further study of advanced mathematics. The topics include elementary logic, method of proof, set theory, relations, functions, cardinality, and Boolean algebra.
Physical
Education (Credits 0)
This course aims to help students to acquire common sense of sports rules and skills. Sports like basketball, volleyball, baseball, table tennis, badminton and soccer are instructed in different classes.
To present elementary classical analysis in a concrete setting, emphasizing specific techniques important to classical analysis and its applications.
Each theme is developed first for integers, then for polynomials and finally for rings and groups. This enables students to see where many abstract concepts come from, why they are important, and how they relate to one another.
This course introduces methods in solving deferential equations. The topics include first order differential equations, higher order differential equations, series solutions of linear equations, Laplace transfon-n, and systems of linear first order differential equations
Economics (Credits
4)
The course include demand and supply, elasticity, utility and preference, production and cost, markets for goods and services, markets for factors of production, public economics, environment and resource, gross national product, employment, investment, aggregate supply and aggregate demand, macroeconomics fluctuation, growth, fiscal policies and monetary policies, and international economics.
This course is designed to develop the student's understanding of the importance of implemented mathematics programming. Mathematics problem is the application of s scientific approach to solving management problems in order to helps managers make better decisions.
This course is mainly designed to provide the student with a sound background in point-set topology, so that he has the mathematical maturity to go on studying other more advanced mathematical courses. Apart from repeatedly exercising the concepts compactness and etc., main topics of point-set topology, we will also introduce some basic notions of algebraic topology should time permit.
In this course, we study the theory of functions of a complex variable, together with some of its applications. Topics presented in this course will include Green's Theorem, Cauchy's Theorem and Cauchy's Formula, Residue Theorem, conformal mapping, harmonic functions, the Fourier transform and the Laplace transforms.
The emphasis of this course lies on the theory of numerical methods and its application to educate the learners by utilizing computers to solve all kinds of problems relating with mathematics with the aid of numerical analysis methods. It includes: Solution of Nonlinear Equation, Matrix Determinant and Simultaneous Equation Solution, Interpolation Methods, Approximation, Numerical Differentiation, Numerical Integration, and Numerical Solution of Ordinary Differential Equation.
A major theme of this course is to study discrete objects and relationships among them. This course includes set theory, relations and functions, permutations and combinations, graph theory, recurrence relations, generating functions, boolean algebra, analysis of algorithms, coding theory, finite state machines, and designed theory.
This course studies the differential geometry of curves and surfaces in Euclidean 3space, both in its local and global aspects. Apart from guiding the student to develop his geometrical intuition through concrete examples, we shall try to equip the student with basic techniques of doing rigorous differential geometrical analysis. Efforts will also be made to ensure that, near the end of the course, the notion of differentiable manifold is briefly introduced.