課程大綱及進度表
開課系所
數學系開課學年
96 學年度開課學期
1課程名稱(中文)
高等微積分課程名稱（英文）
Advanced Calculus課程碼
分班碼
先修科目或先備能力
微積分學分數
4開課教師
方永富電話
275-7575 轉 65131Office Hours
星期一，四：11：10-12：00課程概述
We study the concepts of number systems and basic topology. Then discuss numerical sequences and series. Next we investigate the ideas of continuity, different- iation, and integration. Finally we will talk about sequences and Series of functions.教學目標
We expect to grab the basic idea and concept of advanced calculus for one variable function, then to extend those to functions of several variables.授課課程大綱明細
Ch1: Real and Complex Number Systems Ch2: Basic TopologyCh3: Numerical Sequences and Series Ch4: Continuity
Ch5: Differentiation
Ch6: Riemann-Stieltjes Integral Ch7: Sequences and Series of
Functions
參考書目
Principles of Mathematical Analysis ( Chapter 1 - 7)by Walter Rudin (Third edition)
課程要求
Calculus評量方式
Quizzes: 15%Homework: 15%
Midterm I: 15%
Midterm II: 20%
Final: 35%
