投影片 1 - Department of Mathematics, HKUST

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Transcript 投影片 1 - Department of Mathematics, HKUST

Jointly offered by Departments of Mathematics and Economics

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Academic Aspirations

 Provides students with solid training in fundamental theories in both mathematics and economics.

 Equips students with quantitative reasoning skills, conceptual understanding and the a b i l i t y t o e ff e c t i v e l y c o m m u n i c a t e i n m a t h e m a t i c s a n d i n t h e l a n g u a g e o f economics and social science.

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 Provides a program of study for students who seek the option of taking a quantitatively oriented job in financial industry or intend to pursue postgraduate study in applied mathematics, economics, or in a related a r e a , l i k e q u a n t i t a t i v e f i n a n c e o r management science.

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Why choose this degree program?

 The program is advantageous to students who otherwise would take a single major in m a t h e m a t i c s o r e c o n o m i c s .

 Sequences of mathematics and economics courses are provided to equip students with a strong quantitative background in economics and related areas in management and finance.

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Career Prospects

 Ample career opportunities in the financial sector for university graduates that fully understand the use of mathematical and economic tools and those who are able to use t h e k n o wl e d g e a n d l a n g u a g e o f b o t h disciplines.  Equipped with the necessary background for entry into postgraduate degree programs in a p p l i e d m a t h e m a t i c s a n d e c o n o m i c s .

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Key components in the curriculum

Subject area

Mathematics

No. of courses

8 Economics Humanities and Social Science 8 4 Business Computer Science Language Free electives 1 1 2 3 6

Major Program Requirements 

Core Courses

MATH 101 MATH 111 MATH 201 ECON 198 ECON 199 Multivariate Calculus Linear Algebra Introduction to Analysis Microeconomic theory I Macroeconomic theory I [3-1-0:4] [3-1-0:4] [3-1-0:4] [3-1-0:4] [3-1-0:4] 7

Required Courses

MATH 241 Probability MATH 301 ECON 200 ECON 201 ECON 233 Real Analysis Microeconomic theory II Macroeconomic theory II Introduction to Econometrics [3-1-0:4] [3-1-0:4] [3-1-0:4] [3-1-0:4] [3-1-0:4] 8

Elective Courses

Three Mathematics electives are chosen at the 300-level or above. Some recommended Mathematics electives are MATH310 Game Theory [3-1-0:4] MATH341 MATH362 Stochastic Modeling [3-1-0:4] Fundamentals of Mathematical Finance [3-1-0:4] Three Economics electives are chosen at the 300-level or above [1]. 9

General Education Requirements

Electives must be selected from among those general education courses that are listed under the section “ D e s i g n a t e d G e n e r a l E d u c a t i o n C o u r s e s ” .

Elective Types Minimum Number of Course Minimum Credits ________________________________________________________________ GEE (B&M) Business and Management General Education Elective 1 3 GEE (ENGG) Engineering General Education Elective GEE (H&SS) Humanities and Social Science General Education Elective 1 4 3 12 10

MATH 102 Multivariable and Vector Calculus [2-1-0:4] _____________________________________________

This is a one-year course with focus on limits, one variable calculus, sequences, series, gradients, chain rule, extrema, Lagrange multipliers, line integrals, multiple integrals, Jacobians, Implicit function theorem, Green's theorem, Stoke's theorem, divergence theorem.

Prerequisite: AL Pure Mathematics/AL Applied Mathematics; or MATH 021; or MATH 022; or MATH 024 11

MATH 111 Linear Algebra [3-1-0:4] ______________________________________________

Vector space, matrices and system of linear equations, linear mappings and matrix forms, inner product, orthogonality, e i g e n v a l u e s a n d e i g e n v e c t o r s , s y m m e t r i c m a t r i x .

Prerequisite: AL Pure Mathematics/AL Applied Mathematics; or M A T H 0 2 1 ; o r M A T H 0 2 2 ; o r M A T H 0 2 4 12

MATH 202 Introduction to Real Analysis [2-1-0:4]

______________________________________________________________ This is a one-year course with focus on sets and functions, real numbers, open and closed sets, limits of sequences and series, limits and continuity of functions, Taylor's series, differentiations, Riemann integrations, uniform convergence.

Prerequisite: AL Pure Mathematics/AL Applied Mathematics; or MATH 021; or MATH 022; or MATH 024 13

MATH 161 Mathematics in Civilization [3-0-0:3]

_____________________________________________________________ The purpose of this course is to expose students to the role of mathematics in the development and maintenance of civilization. This course examines how mathematics shaped and was shaped by the course of human events. The course will cover the growth, development and far-reaching applications of trigonometry, navigation, cartography, logarithms, algebra, and calculus through ancient, medieval, post-Renaissance and modern times. Topics include: Number systems and the invention of positional notation, Egyptian arithmetic, Babylonian algebra, Greek trigonometry, the contribution of Chinese mathematics etc. 14

ECON 150 [3-0-0:4] Big Problems in Economics: Issues, Ideas, and Principles

_____________________________________________________________ Non-SB&M students are preferred. The course introduces students to some of the economic principles that never have proven to be powerful tools for analyzing real-world problems. A wide range of the most pressing issues of our times will be identified and discussed. The necessary framework for analyzing them ill be developed. The course is especially for the concerned non-business citizen-student who wants to fulfill general education r e q u i r e m e n t s , N o p r i o r b a c k g r o u n d i n e c o n o m i c s i s r e q u i r e d .

ECON 191 Honors Microeconomics [3-1-0:4]

_____________________________________________________________ Application of economic theory to important real-world problems; reading of selected excerpts from important books and articles; discussions of methodology and current controversies.

Exclusions:

ECON 110, ECON 111, ECON 113, SOSC 144, AL Business and Economics

Prerequisite:

B or above in AL Economics 15

COURSE IN LANGUAGE FOR BUSINESS LABU 101 Business Case Analyses [0-3-0:4] ______________________________________________________________

A one-year course for Business students and students in Technology and Management. This course develops students' critical thinking and communication skills as well as interdisciplinary awareness through a process of comprehending, analyzing and presenting business cases in various disciplines.

Exclusion:

LANG 107

LANG 201 Business Communication [0-3-0:3] ______________________________________________________________

Restricted to students in the School of Business and Management. Focuses on the processes and skills of effective oral presentation, report and letter writing in business situations where English is the medium of communication.

Prerequisite:

LABU 101/LANG 107 16

Admission channels and requirements

I n t e r e s t e d a p p l i c a n t s , u n d e r n o r m a l circumstances, may apply via the JUPAS or Early Admission Scheme. In addition to the general University entrance requirements, applicants must obtain: 1.

grade D or above in AS use of English in HKALE 2.

pass in AL Pure Mathematics plus 1 AL / 2 AS subjects

2007 intake : average JUPAS score = 20.6

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For more details, please visit the program web page at

http://www.math.ust.hk/ug/programs/bsc.mathecon.shtml

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