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所在平台: Coursera |
课程主页: https://www.coursera.org/learn/basicmathematics
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课程名称：基础数学 课程概述：欢迎参加基础数学课程！本课程为您提供基础数学概念及其应用的初步介绍。在这个课程中，您将学习复数、二次方程、三角学、矩阵、微分积分学和常微分方程等内容，及其各自的应用。完成本课程后，您将能够有效地使用基础数学概念，并能够将这些概念应用于实际问题。 课程大纲： 1. **课程介绍**：本模块将向您介绍课程及其大纲。课程介绍视频将帮助您了解将在本课程中获得的技能和知识。大纲阅读将重点介绍课程的价值观、评估、评分方案、时间表和您必须获取的阅读资料，以便更好地掌握相关概念。同时，您将通过讨论题与来自全球的同学见面交流。 2. **复数与二次方程**：在本模块中，我们将介绍实数和复数系统、复数的性质、复数的代数运算、共轭复数、阿根图及方程的类型和二次方程的根。 3. **三角学**：本模块将介绍三角学基础知识、三角恒等式和三角学的应用。 4. **矩阵**：在本模块中，我们将介绍矩阵的定义、类型，并学习矩阵的代数运算、求逆矩阵的方法。同时我们将学习如何找到给定方程组的解以及矩阵的秩。 5. **微分积分学及其应用**：本模块将介绍函数、函数的类型、极限定义、标准形式、标准极限、不确定形式、连续性和可微性、标准函数的导数及其应用、均值定理。 6. **积分学及其应用**：在本模块中，我们将介绍函数的积分、标准函数的积分、性质、乘法法则、除法法则及积分的应用。 7. **常微分方程**：本模块将介绍微分方程的类型，微分方程的阶和次，第一阶第一次微分方程的解法（可分离变量法、齐次和非齐次方程、确切和非确切微分方程、第一阶线性微分方程）。 通过本课程，您将掌握基础数学的核心概念，并可应用于实际问题中。
Name:Course Introduction
Description:This module introduces you to the course and its syllabus. The course introductory video orients you to the skills and knowledge you will acquire through this course. The syllabus reading highlights the course values, assessments, grading scheme, schedule and details of live sessions, and readings list that you must procure to acquire the concepts better. You will also meet and greet your peers around the globe through a discussion prompt.
Name:Complex Numbers & Quadratic Equations
Description:In this module we will present real & complex number system, properties of complex numbers, algebra of complex numbers, complex conjugate, argand plane, types of equations, roots of quadratic equation.
Name:Trigonometry
Description:In this module, we will present the basics of trigonometry, trigonometric identities and applications of trigonometry.
Name:Matrices
Description:In this module, we will present definition, types of matrices and also learn algebraic operations on matrices, finding inverse of a matrix. Also given system of equations we will learn finding its solution and also rank of a given matrix.
Name:Differential Calculus with applications
Description:In this module, we will present functions, types of functions, definition of limit, standard form, standard limits, indeterminate forms, continuity and differentiability, derivative of standard functions, applications of derivatives, mean value theorem.
Name:Integral Calculus with Applications
Description:In this module, we will present integral of a function, integrals of standard functions, properties, product rule, division rule, applications of integration.
Name:Ordinary Differential Equations
Description:In this module, we will present types of differential equations, order and degree of a differential equation, First order and first degree differential equation solutions - variable separable, Homogeneous and Non homogeneous equation, exact and non – exact differential equation, first order linear differential equations.
Welcome to Basic Mathematics course! This course provides elementary introduction to basic mathematics concepts and their applications. In this course, you will be introduced to Complex Numbers, Quadratic Equations, Trigonometry, Matrices, Differential Calculus, Integral Calculus and Ordinary Differential Equations along with the applications of each concept. After completing this course, you will be able to use basic mathematics concepts effectively and also will be able to apply the concepts i
