《数学物理方法（英文版）》课程教学大纲 一、课程基本信息 英文名称 Mathematical methods for Physicists 课程代码 PHYS3103 课程性质Required 授课对象 Physics (international) 学分 4 credits 学时 72 hours 主讲教师 Ruidong Zhu(朱睿东) 修订日期 2023.9 指定教材 Philippe Dennery and Andre Krzywicki,Mathematics for physicists,Dover Publications,INC.,Mineola,New York 二、课程目标 (一)总体目标： Mathematical method for physicists is a fundamental course for many specialties.The course aims to provide students with:complex analysis (including complex variables,analytic functions. Cauchy theorem,residues,contour integrals and Laurent series),techniques to solve differential equations (including the method of separation of variables.Legendre polynomial.spherical harmonic functions,Gren functions and Fourier transforms)and knowledge of special functions (including Bessel functions,the Gamma function,the Beta function and some basics of hypergeometric functions).The course is a prerequisite to Electrodynamics,Statistical Physics, Solid State Physics and Quantum Mechanics. (二)课程目标： i课程目标l:As the last mathematical ouse during the undergraduate study,this cours the mathematical knowledge and skill necessarily needed for studying advanced physics courses.Students are required to learn the basic knowledge for the complex analysis and some properties of the differential equations and the special functions. 课程目标2：In addition,thiscourse soopens the road to lear other advanced mathematical courses Cauchy theorem is deeply related with thehom oog时neeythe时tk。re Consequently,the course also aims to stimulate students'interest in further studying more advanced courses. 课程目标3：Many theorems in this course are deeply related to the linear algebra and that the have aredy leamed in the previous mester Therefore,the are also required to reviewsome of the imporant in advanced mathematics and linear《数学物理方法（英文版）》课程教学大纲 一、课程基本信息 英文名称 Mathematical methods for Physicists 课程代码 PHYS3103 课程性质 Required 授课对象 Physics (international) 学 分 4 credits 学 时 72 hours 主讲教师 Ruidong Zhu (朱睿东) 修订日期 2023.9 指定教材 Philippe Dennery and Andre Krzywicki, Mathematics for physicists, Dover Publications, INC., Mineola, New York 二、课程目标 （一）总体目标： Mathematical method for physicists is a fundamental course for many specialties. The course aims to provide students with: complex analysis (including complex variables, analytic functions, Cauchy theorem, residues, contour integrals and Laurent series), techniques to solve differential equations (including the method of separation of variables, Legendre polynomial, spherical harmonic functions, Green functions and Fourier transforms) and knowledge of special functions (including Bessel functions, the Gamma function, the Beta function and some basics of hypergeometric functions). The course is a prerequisite to Electrodynamics, Statistical Physics, Solid State Physics and Quantum Mechanics. （二）课程目标： 课程目标 1：As the last mathematical course during the undergraduate study, this course provides the mathematical knowledge and skill necessarily needed for studying advanced physics courses. Students are required to learn the basic knowledge for the complex analysis and some properties of the differential equations and the special functions. 课程目标 2：In addition, this course also opens the road to learn other advanced mathematical courses. For example, the Cauchy theorem is deeply related with the homotopy theory in algebraic topology, and the analytic functions are widely used in the study of conformal field theories. Consequently, the course also aims to stimulate students’ interest in further studying more advanced courses. 课程目标 3：Many theorems in this course are deeply related to the linear algebra and calculus that the students have already learned in the previous semesters. Therefore, the students are also required to review some of the important contents in advanced mathematics and linear