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所在平台: Udemy |
课程主页: https://www.udemy.com/course/bvbatknh/
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课程名称：傅里叶冒险：数学的新视角 课程概述：本课程旨在以深入和结构化的方式向学生介绍高级数学。课程分为几个部分： 部分A：极限计算 1. 极限的正式定义 2. 通过简化计算极限 3. 极限法则 4. 复杂函数的极限计算 部分B：无限级数 1. 无限级数的定义 2. 收敛级数 3. 比较测试 4. 极限比较测试 5. 比例测试 6. 根测试 7. 积分测试 8. 无限级数的应用 部分C：泰勒级数与收敛序列 1. 泰勒级数的定义与计算 2. 点态收敛序列 3. 均匀收敛序列 4. 泰勒级数的应用 部分D：傅里叶级数 1. 傅里叶级数的定义 2. 计算偶函数和奇函数的傅里叶级数 3. 傅里叶级数的应用 最后部分：常微分方程 1. 常微分方程的基本定义与概念 2. 求解常微分方程的特解与通解 3. 常微分方程的示例与应用 课程亮点： 该课程精心设计，并由专家穆罕默德·塔拉比耶教授提供指导。他坚信化学学生会在这门数学课程中取得成功，掌握重要的数学知识基础，以助力他们的化学学习。课程鼓励学生将挑战视为成长的机会，并在整个学习过程中获得支持。 愿所有参加课程的学生都能在追求卓越的道路上取得优异的成绩！
Here's the course syllabus in English:Part A: Calculating Limits1. Formal Definition of Limits2. Calculating Limits through Simplification3. Limit Laws4. Calculating Limits of Complex FunctionsPart B: Infinite Series1. Definition of Infinite Series2. Convergent Series3. Comparison Test4. Limit Comparison Test5. Ratio Test6. Root Test7. Integral Test8. Applications of Infinite SeriesPart C: Taylor Series and Convergent Sequences1. Taylor Series - Definition and Computation2. Convergent Sequences Pointwise3. Uniformly Convergent Sequences4. Applications of Taylor SeriesPart D: Fourier Series1. Definition of Fourier Series2. Computing Fourier Series for Even and Odd Functions3. Applications of Fourier SeriesFinal Section: Ordinary Differential Equations1. Ordinary Differential Equations - Basic Definitions and Concepts2. Solving Particular and General Solutions of Ordinary Differential Equations3. Examples and Applications of Ordinary Differential EquationsThis is a comprehensive syllabus that will introduce students to advanced mathematics in a deep and structured manner. Good luck with the course! Here's a message from the expert, Mohammad Tarabieh, to chemistry students in English:Mr. Mohammad Tarabieh emphatically assures that chemistry students will succeed and acquire exceptional knowledge in this mathematics course that you've purchased from the website. I have full confidence in your ability to excel. This course will equip you with the valuable foundations and knowledge required to excel in the field of chemistry.I extend my heartfelt wishes for your success and offer highly motivating and inspirational words to all chemistry students.Remember that challenges are opportunities for growth and learning. Embrace each obstacle as a chance to become stronger and more knowledgeable. Let your dedication and passion propel you towards achieving your dreams.I am here to support you throughout this journey, and I wish you all the best in your pursuit of excellence.I hope this message serves as a source of inspiration and motivation for chemistry students who have purchased the mathematics course.math for chmestrey: Math part AMath part BMath part C
