NTU Course
Overview

Introduction to Mathematical Analysis(Ⅱ)

Offered in 112-2

  • Serial Number

    39375

  • Course Number

    MATH2214

  • Course Identifier

    201 49660

  • No Class

  • 5 Credits

  • Preallocated

    DEPARTMENT OF MATHEMATICS

      Preallocated

    • DEPARTMENT OF MATHEMATICS

  • CHIUN-CHUAN CHEN
  • Schedule Location
    • Tue 2, 3, 4
      新102
    • Thu 3, 4
      新302

  • Type 3

  • 100 Student Quota

    NTU 90 + non-NTU 10

  • No Specialization Program

  • Chinese
  • NTU COOL
  • Core Capabilities and Curriculum Planning
  • Notes
  • Limits on Course Adding / Dropping

    • Restriction: within this department (including students taking minor and dual degree program)

  • NTU Enrollment Status

    Enrolled
    0/90
    Other Depts
    0/0
    Remaining
    0
    Registered
    0
  • Course Description
    這門課是數學系的重要課程，主要是讓學生熟悉數學分析的語言及更嚴謹的數學證明，也是更高階分析課程的基礎。我們上學期從實數基本性質、Cantor cardinal numbers及點集拓樸切入，引進極限、緊緻性、metric 的觀念，隨後介紹連續及uniform convergence。本學期將介紹fixed point theorem、Stone-Weierstrass theorem、 微分及其應用、隱函數定理、積分理論及Lebesgue定理等。如果時間允許，將略微講述基本的測度論。也會介紹Fourier series 理論。
  • Course Objective
    熟悉數學分析的基本觀念、工具、及操作嚴謹的證明。
  • Course Requirement
    週作業，期中考，期末考。 預備知識: calculus, linear algebra, Introduction to Mathematical Analysis I
  • Expected weekly study hours before and/or after class
  • Office Hour
    周一 16:00-17:00, 餘0班 舜傑助教 Office : 天數455 周二 15:00-16:00, 餘1班 行遠助教 Office : 天數445 週二 14:00-16:00, 餘2班 家豪助教 Office : 天數438
    *This office hour requires an appointment
  • Designated Reading
    1. Jerrold E. Marsden and Michael J. Hoffman, Elementary Classical Analysis, 2nd Edition 2. Walter Rudin, Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics), McGraw-Hill Education; 3rd edition
  • References
    1. Jerrold E. Marsden and Michael J. Hoffman, Elementary Classical Analysis, 2nd Edition 2. Walter Rudin, Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics), McGraw-Hill Education; 3rd edition 3. Mathematical Analysis. Second Edition. Tom M. Apostol. 4. William R. Wade, An Introduction to Analysis, Prentice Hall, 4th Edition
  • Grading
    1. NTU has not set an upper limit on the percentage of A+ grades.
    2. NTU uses a letter grade system for assessment. The grade percentage ranges and the single-subject grade conversion table in the NATIONAL TAIWAN UNIVERSITY Regulations Governing Academic Grading are for reference only. Instructors may adjust the percentage ranges according to the grade definitions. For more information, see the Assessment for Learning Section。
  • Adjustment methods for students
  • Make-up Class Information
  • Course Schedule