• Calculus
    • Department of Mathematics
    • Credit. 10
    • MA081
    • Enroll
    • Fall , 2015
    • 5049
    • Course Description:
    • ( Exchange Programme )
    • Calculus is one of the greatest achievements of the human intellect. Calculus is the foundation of modern mathematics and almost all other branches of modern science.
      Inspired by problems in astronomy, Newton and Leibniz developed the ideas of calculus three hundred years ago. Since then, each century has demonstrated the power of calculus to illuminate questions in mathematics, engineering, and the social and biological sciences.
      In the course of calculus, much attention is paid to concepts and solving problems, and the underlying theory and proofs of important results are also emphasized.
      Calculus can be mainly catalogued as differential theory and integral theory, or from other point of view, single variable calculus and multi-variable calculus. Calculus is one of the most important courses for the university students who major in science and engineering.
    • Course Syllabus:
    • By completing the course, students should:
      (1) grasp a systematic, modern approach to differential theory and integral theory of calculus.
      (2) be able to familiarize themselves with concepts, skills and techniques of differential and integral;
      (3) have a clear understanding of the ideas of calculus 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.Functions/10 Credit hours /Class teaching/Understanding & mastering/HW &Test
      2.Limit, continuity/16 Credit hours /Class teaching/Understanding & mastering/HW &Test
      3.Differentials/14 Credit hours /Class teaching/Understanding & mastering/HW &Test
      4.Mean-value Ths/15 Credit hours /Class teaching/Understanding & mastering/HW &Test
      5.Integrals/17 Credit hours /Class teaching/Understanding & mastering/HW &Test
      6.Differential equations/13 Credit hours /Class teaching/Understanding & mastering/ HW &Test
      7.Vector algebra/12 Credit hours /Class teaching/Understanding & mastering/HW &Test
      8.Multi-differential/16 Credit hours /Class teaching/Understanding & mastering/HW &Test
      9.Multi-integrals/16 Credit hours /Class teaching/Understanding & mastering/HW &Test
      10.Curve-surface Integral/16 Credit hours /Class teaching/Understanding & mastering/ HW &Test
      11.Series/15 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:

    <> (Seventh Edition), James Stewart, Brooks/Cole Publishing Company, 2004. ISBN 0 534-39321-7
  • Grading:

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