§2.1. Functions of a Complex Variable §2.2. Mappings §2.3. The Exponential Function and its Mapping Properties §2.4. Limits §2.5. Theorems on Limits §2.6. Limits Involving the Point at Infinity §2.7. Continuity §2.8. Derivatives §2.9. Differentiation Formulas §2.10. Cauchy-Riemann Equations §2.11. Necessary and Sufficient Conditions for Differentiability §2.12. Polar Coordinates §2.13. Analytic Functions §2.14. Examples §2.15. Harmonic Functions

§3.1. The Exponential Function §3.2. The Logarithmic Function §3.3. Branches and Derivatives of Logarithms §3.4. Some Identities on Logarithms §3.5. Complex Power Functions §3.6. Trigonometric Functions §3.7. Hyperbolic Functions §3.8. Inverse Trigonometric and Hyperbolic Functions

§4.1. Derivatives of Complex-Valued Functions of §4.2. Definite Integrals of Functions w §4.3. Paths §4.4. Path Integrals §4.5. Examples §4.6. Upper Bounds for Integrals §4.7. Primitive Functions §4.8. Examples §4.9. Cauchy Integral Theorem §4.10. Proof of Cauchy Integral Theorem §4.11. Extended Cauchy Integral Theorem §4.12. Cauchy Integral Formula §4.13. Derivatives of Analytic Functions §4.14. Liouville’s Theorem §4.15. Maximum Modulus Principle

§5.1. Convergence of Series §5.2. Taylor Series §5.3. Examples §5.4. Laurent Series §5.5. Examples §5.6. Absolute and Uniform Convergence of Power Series §5.7. Continuity of Sums of Power Series §5.8. Integration and Differentiation of Power Series §5.9. Uniqueness of Series Representations §5.10. Multiplication and Division of Power Series

§6.1. Residues §6.2. Cauchy’s Residue Theorem §6.3. Using a Single Residue §6.4. The Three Types of Isolated Singular Points §6.5. Residues at Poles §6.6. Examples §6.7. Zeros of Analytic Functions §6.8. Uniquely Determined Analytic Functions §6.9. Zeros and Poles §6.10. Behavior of f Near Isolated Singular Points §6.11. Reflection Principle

§7.1. Evaluation of Improper Integrals §7.2. Examples §7.3. Improper Integrals From Fourier Analysis §7.4. Jordan’s Lemma §7.5. Indented Paths §7.6. An Indentation Around a Branch Point §7.7. Definite Integrals Involving Sine and Cosine §7.8. Argument Principle §7.9. Rouche’s Theorem

§8.1. Conformal mappings §8.2. Unilateral Functions §8.3. Local Inverses §8.4. Affine Transformations §8.5. The Transformation = /1 zw §8.6. Mappings by /1 z §8.7. Fractional Linear Transformations §8.8. Cross Ratios §8.9. Mappings of the Upper Half Plane

项目一 环评技术导则概述及应用 项目二 接受环评委托、收集并研究项目 项目三 工程分析 项目四 环保处理措施的选取及污染物排放量核算 项目五 区域环境质量现状调查、监测与评价 项目六 环境影响评价等级及范围的确定 项目七 污染源环境影响预测与评价 项目八 清洁生产评价

郑州大学：《人体寄生虫学》课程思政教学大纲（任课教师：龙绍蓉）

郑州大学：《系统解剖学》课程教学资源（思政案例）第二十一章 内分泌