investigating.designing projects. processin data during research,and academic communication. 三、教学内容 第-章Fundamentals of Complex Variables 1.教学目标 This chapter requires the students to understand the basic operations of complex numbers,different representations of a complex number,Euler's formula.The students are expected to expand their knowledge from the real numbers to complex numbers,understand the principles of the materialist dialectics,and construct a scientific understanding of the world. 2.教学难点 Representations of the complex numbers and the applications of Euler's formula. 3.教学内容 A.Algebraic operation Master the addition,subtraction,multiplication,division between two complex numbers,as well as the conjugation,inverse of a single complex number. B.Representations of a complex number Complex plane,rectangular and polar coordinates. C.Euler's formula,the calculation of exponential of a complex number the geometric meaning of the modulus and argument of a complex number. 4.教学方法 Lectures,discussions,etc 5.教学评价 Corresponding exercises and quiz. 第二章The complex function 1.教学目标 The students are required to understand the definition of a complex function, an analytic function and the multi-valuedness of some complex functions,the branch cut,the differential and integrals of a complex functions,the similarity andinvestigating, designing projects, processing data during research, and academic communication. 三、教学内容 第一章 Fundamentals of Complex Variables 1. 教学目标 This chapter requires the students to understand the basic operations of complex numbers, different representations of a complex number, Euler’s formula. The students are expected to expand their knowledge from the real numbers to complex numbers, understand the principles of the materialist dialectics, and construct a scientific understanding of the world. 2. 教学难点 Representations of the complex numbers and the applications of Euler’s formula. 3. 教学内容 A. Algebraic operation Master the addition, subtraction, multiplication, division between two complex numbers, as well as the conjugation, inverse of a single complex number. B. Representations of a complex number Complex plane, rectangular and polar coordinates. C. Euler’s formula, the calculation of exponential of a complex number, the geometric meaning of the modulus and argument of a complex number. 4.教学方法 Lectures, discussions, etc. 5.教学评价 Corresponding exercises and quiz. 第二章 The complex function 1. 教学目标 The students are required to understand the definition of a complex function, an analytic function and the multi-valuedness of some complex functions, the branch cut, the differential and integrals of a complex functions, the similarity and