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Department of Financial Engineering and Actuarial Mathematics - Curriculum

離散數學 (Discrete Mathematics)

The main objective of this course is to improve the proficiency of mathematics as well as principle and logic of calculation for students. We focus on fundamental mathematics especially emphasis of logic ideas which is aimed to develop thinking and reasoning ability. We hope that students can not only comprehend every topics discussed under each course but also observe, systematically describe, and effectively solve problems by their own through establishment of logic ideas and cultivation of reasoning ability.

 

微積分 (Calculus)

It requires more precise definition for limitation based on the overview of calculus in junior high school. Following that, the essential theory of calculus will be introduced. In addition to the comprehension of mathematic ideas, this course requires proficiency of calculation skill, habit to use mathematical reasoning methods, and application ability in each field.

 

高等微積分 (Advanced Calculus)

This course is the extension of Calculus. The teaching objectives are: 1) learning initial theory of mathematical analysis; 2) familiarize with use of mathematical logics; 3) cultivating ability of thinking, reasoning, and solution; 4) building foundation of application.

 

線性代數 (Linear Algebra)

Linear Algebra is a very important and fundamental part in the mathematics instruments and broadly used in mathematics, physics, electrical, chemical, management, and economics field. The main objective of this course is to introduce the fundamental theory of Linear Algebra, build ideas, cultivate proofing ability, and especially emphasize computation and feasibility, so that students can build solid base of mathematics and apply it to each field.

 

機率與統計 (Probability and Statistics)

This course introduces fundamental ideas of probability and statistics which include probability space, nature of probability, discrete probability distribution, continuous probability distribution, moment generation function, and multivariate probability distribution.

 

高等統計學 (Advanced Statistics)

The objectives of this course it to help students understand statistical functions and have full knowledge of this course so as to make decisions or solve problems by scientific way and quantitative skill no matter under industry or academic research.

 

數理統計 (Mathematical Statistics)

In addition to the review and strengthening of Probability and Statistics as well as Advanced Statistics, this course broadly discuss topics relevant to statistics theory among which more mathematical point of view will be used to discuss problems about statistical reasoning and decision as well as examples will be discussed from various perspectives.  

 

應用機率模型導論 (Applied Probability Model)

This is an introduction to probability models in operations research. The goal is to help decision makers make the right decisions under uncertainty. The course will focus on formulating and analyzing probabilistic problems in areas such as inventory control, manufacturing, investment, financial engineering and diverse related fields.

 

迴歸分析 (Regression Analysis

Overview of relevant theory and application of linear regression models. Regression analysis is a statistical way to use the relationships between two or more variables to make one of them predictable by another or other variables. This method is broadly applied in the business, social and behavioral science, biological science, and other fields. 

 

應用統計 (Applied Statistic)

Market research and analysis is to understand the demand of customers and consumers through  scientific ways for decision making reference. The fundamental instruments required for this course are probability and statistics.

 

保險學 (General Insurance)

Introduce major areas in risk management and insurance principle consumer consideration.

 

複利數學 (Mathematics of Compound Interest)

This course explores topics relevant to interest calculation including how to measure interest, how to solve problems related to interest, definition of annuity and derivation of relevant formulas, and calculation of return, installment, and mortgage balance hoping to help students who take this course to build the ability to solve problems about interest in regular life as well as strengthen research base for financial management and business problems in the future.

 

複利專題 (Seminar of Compound Interest)

The purpose of this and “Financial Insurance” course is to help students who would like to go towards actuarial insurance build fundamental knowledge of financial management to response global integration of financial service. The specific content of this course is to help students have financial knowledge required by SOA/CAS course 2 such as capital budgeting, financial statement analysis, financial structure understanding, and decision-making principle of financing based on what they learned from “compounding mathematics” course.

 

保險數學導論 (Course Syllabus for Actuarial Mathematics)

The course is designed to provide undergraduate students the fundamentals of actuarial mathematics that includes pricing and reserving for life insurance products.

 

精算經濟 (Economics for actuarial students)

The main objective of this course is to help students who would like to go towards actuarial insurance meet the requirement of VEE-Economics. The content of this course is close to that of microeconomics with 3 credits and macroeconomics with 3 credits for students outside the Department of Economics in the School of Business, so we would not suggest students who took the above courses to take this course for saving the learning time and teaching resources unless they plan to go towards actuarial insurance field in the future.  

 

保險經營 (Insurance Management)

The design of this course is to focus on the theory and practice of life insurance operation hoping that students can combine them and get a comprehensive understanding of insurance operation through each seminar of operation techniques in the insurance industry for employment preparation.

 

存活分析 (Survival Analysis)

Introduction of part general statistical analysis and application of survival data as well as overview of initial fundamental theory. The statistical estimation method such as statistics and survival rate of survival data as well as application in industry, insurance, and medical experimentation will be covered in this course as well, among which includes statistical analysis and relevant applied practice of the life table, Kaplain-Meier estimates, log-rank test, Cox proportional-hazards regression model, and acceleration model. 

 

財務管理 (Financial Management)

The objective of this course is to help students understand Corporate finance which covers financial concepts and relevant valuation analysis of it. In addition, introduce risk management under the financial environment as well as international financial management and relevant financial derivative instruments among which includes the latest research area, Eva and Real Option, in the financial field.

 

金融創新 (Financial Innovation)

Extended from “Financial Derivative Instruments”, this course is aimed to help students build a fundamental concept of financial engineering to proceed financial innovation in the future. Furthermore, this course introduces fundamental valuation and hedging concepts of new financial products and practically analyzes contracts of new financial products which are popular in the current market. In additional to lectures from teachers, this course asks students to analyze contracts of new financial products that are popular in the current market such as types and resources of risks, valuation, and hedging in the class.

 

財務工程導論 (Financial Derivatives)

There is a significant change in the instrument structure in the financial market so that investors have more options than equity and bond. The financial derivative instruments such as futures and options which prosper in the domestic financial market built a new financial era with diverse investment opportunities. Therefore, the objective of this course is to introduce theory, valuation, and application of various financial derivative instruments to make students have a fundamental understanding of them.

To make students understand the types and characteristics of financial derivative instruments and how to construct valuation model to apply to financial risk management.

 

財務工程專題 (The Seminar on Financial Engineering)

This course is the extension of the Financial Engineering course; the material will mainly be case discussion of new financial products. This course will introduce the latest financial products on the market through the hybrid securities created by disassembly and combination of financial engineering techniques that include the combination of bond and option, bond and forward, swaps, and equity and option. In addition to the cases of new financial products under the material, this course requires students to collect, integrate, analyze, and compare with other cases.

 

財務時間序列分析 (Financial Time Series Analysis)

The objective of this course is to introduce the most used model and method in the analysis of financial time series data for the foundation of following related courses. In addition, this course will introduce some applications of financial time series analysis in finance such as option pricing and VaR.

 

資料庫管理系統 (Database Management System)

To help students learn Access database, web data base, and SQL language through theory and application of database management system and truly develop database application system in the workplace in the future.

 

數值分析 (Numerical Analysis)

To learn numerical methods, techniques, and analysis to identify and solve problems as well as develop learning in scientific computation and computer and software use. This course is in favor of students learning applied mathematics such as actuarial, financial, and engineering. Students who are interested in mathematics analysis can take this course as extension of Calculus. This course is strongly recommended to students who took education program and actuarial tests.

 

企業資訊系統 (Business information systems)

This course focus on business operation and competitiveness to explore the knowledge of information system concepts, organizational behavior, business procedure, and information technology relevant to business organization, business administration, and decision support that include introduction of information system management, overview of information technology, information treatment, software engineering, organizational behavior, and business procedure analysis. 

 

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