• Intermediate Theoretical Methods
    • Department of Physics and Astronomy
    • Credit. 4
    • PH224
    • Enroll
    • Fall , 2015
    • 5043
    • Course Description:
    • ( Exchange Programme )
    • Intermediate Theoretical Methods is a basic course required for undergraduate students in the Department of Physics and Astronomy at Shanghai Jiao Tong University. The course covers several topics, including complex functions and applications, integral transforms, calculus of variations, conformal mapping and its applications, probability theory, and statistical methods. The primary objective is to develop those parts of the mathematical methods that are essential to students majored in physics. After taking this mathematical physics course, students will have a solid foundation of mathematics and problem-solving skills, which form a solid foundation for the up-coming physics courses.
    • Course Syllabus:
    • After completing the course, students should be able to:
      1. Understand the theory of analytic functions;
      2. Apply the theory of residues to evaluate various integrals;
      3. Use Fourier transform and Laplace transform to solve physics problem;
      4. Be familiar with the calculus of variations;
      5. Apply the method of conformal mapping to solve related problems;
      6. Be familiar with the common probability distributions and statistical methods in physics.
    • Schedule:
    • 1. Complex numbers and analytic functions/4 credit hours
      2. Elementary functions/4 credit hours
      3. Integrals/6 credit hours
      4. Series/4 credit hours
      5. Residues and poles/6 credit hours
      6. Applications of residues/6 credit hours
      7. Fourier transform/4 credit hours
      8. Laplace transform/4 credit hours
      9. Calculus of variations/4 credit hours
      10. Conformal mapping/4 credit hours
      11. Applications of conformal mapping/4 credit hours
      12. Probability theory/8 credit hours
      13. Statistics/4 credit hours
  • Reading list
  • Other Materials
  • Discussion
  • Homework download/submit
    • 罗卫东
    • Associate Professor
    • Read more
    • Male
    • E-mail:
    • wdluo@sjtu.edu.cn
    • Profile
  • Prerequisite Course:

    PH114, PH116, MA080, MA081

  • Textbooks:

    Complex Variables and Applications, by J. W. Brown & R. V. Churchill.
  • Grading:

    The final grade will be based on regular homework (30%), class participation (10%), two one-hour exams during the semester (20%), and the final exam (40%).
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