• Mathematical Analysis
    • Department of Mathematics
    • Credit. 12
    • MA043
    • Enroll
    • Spring , 2015
    • 1201
    • Course Description:
    • ( Exchange Programme )
    • Mathematical analysis, in which ideas and skills are diversified and plentiful, is a fundamental course of modern mathematical science. It is one of the most comprehensively used subjects in science and technology. Mathematical analysis is an indispensable basic course for any student who majors in science and engineering.
      The main content of mathematical analysis is divided into two parts: single variable and multivariable. This course concentrates on the systematic presentation of ideas, concepts, methods and techniques in the foundations of mathematics. This course aims at enhancing student's reasoning and analytical skills, improving their qualifications in mathematics and developing their problem-solving capabilities.
    • Course Syllabus:
    • By completing the course, students should:
      1. master analytical skills and techniques for solving problems that arise in applications of mathematics and other science branches.
      2. be able to familiarize themselves with concepts, skills and techniques of differential and integral;
      3. have a clear understanding of the ideas of mathematical analysis as a solid foundation for subsequent courses in mathematics and other disciplines.
    • Schedule:
    • Topics/ Credit hours / Teaching methodology / Tasks / Intended learning outcomes / Assessment methods

      1.Real number system/13 Credit hours /Class teaching/Understanding & mastering/ HW &Test
      2.Limit, continuity/18 Credit hours /Class teaching/Understanding & mastering/HW &Test
      3.Differentials/17 Credit hours /Class teaching/Understanding & mastering/HW &Test
      4.Mean-value Ths/18 Credit hours /Class teaching/Understanding & mastering/HW &Test
      5.Integrals/17 Credit hours /Class teaching/Understanding & mastering/HW &Test
      6.Improper integral/17 Credit hours /Class teaching/Understanding & mastering/HW &Test
      7.Differential equations/17 Credit hours /Class teaching/Understanding & mastering/ HW &Test
      8.Multi-differential/19 Credit hours /Class teaching/Understanding & mastering/HW &Test
      9.Multi-integrals/19 Credit hours /Class teaching/Understanding & mastering/HW &Test
      10.Curve-surface Integral/19 Credit hours /Class teaching/Understanding & mastering/ HW &Test
      11.Series/18 Credit hours /Class teaching/Understanding & mastering/HW &Test
  • Reading list
  • Other Materials
  • Discussion
  • Homework download/submit
    • Li Weimin
    • Professor
    • Read more
    • Male
    • E-mail:
    • wmli@sjtu.edu.cn
    • Profile
    • Ph.D 1994 (Math.Dept., University of Oldenburg, Germany)
      1995-2000(Associate Professor, Math. Dept., Shanghai Jiaotong Uni.)
      2000 - ( Professor, Math. Dept., Shanghai Jiaotong Uni.)
      Research area: Algebra, Semigroup Theory, Combinatorics, Graph theory
      Courses taught: Mathematical Analysis, Calculus, Modern Algebra, Linear Algebra, Probability, Graph and Network
  • Prerequisite Course:

  • Textbooks:

    1. <> (Seventh Edition), Tom M. Apostol
    2. <> (Ninth Edition) L.J.Goldstein, D.C.Lay, D.I.Schneider. Prentice Hall, 2001.
    3. <> (Third Edition) R.C. Buck,McGraw-Hill Book Company
  • Grading:

    period aligned test grading
    examination on paper (closed book)
    Exercises: period aligned evaluation
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