QF 2149-0

Brief

本課程為分析入門，主要內容為實變數函數的微分及積分理論，第一學期學習單變數函數、第二學期學習多變數函數。 學習操作抽象的數學定義、熟悉嚴謹的論證、培養深度思考及解決問題能力。

Description

Course keywords: 實數/real numbers, 拓墣/topology, 極限/limits, 收斂/convergence, 微分/differentiation, 積分/integration 一、指定用書(Text Books) Introduction to Analysis, fourth edition by William R. Wade 二、參考書籍(References) Elementary Classical Analysis 2nd Edition by J. E. Marsden and M. J. Hoffman Principles of Mathematical Analysis by W. Rudin Mathematical Analysis by T. M. Apostol 三、教學方式(Teaching Method) 課堂: 理論推導，實例講解，應用介紹。 演習課: 習題演算及討論，平時考。 四、教學進度(Syllabus) The contents for this semester include Sequences in R Continuity on R Differentiability on R Integrability on R Infinite series 五、成績考核(Evaluation) 作業及平時考(20%)，期中考(40%)，期末考(40%)。

Prerequisites

Timetable

Scores

Average GPA 2.51

Std. Deviation 1.23

Remarks

Restrictions

限計財系

Compulsory

Elective

Cross Discipline

First Specialization

Second Specialization