Mathematics for Engineers

所在平台: Coursera专项课程

课程主页: https://www.coursera.org/specializations/mathematics-engineers

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课程简介

课程名称:工程师的数学 课程概述:本课程旨在让工程学生自学工程数学。学习内容包括矩阵运算及基本线性代数概念,微分方程的求解及其在物理现象建模中的应用,将单变量微积分扩展至三维,并对标量和向量场进行微分和积分,分析基本数值技术,并用MATLAB编写科学计算程序。 学习将获得的技能包括: - 微分方程 - 向量微积分 - 矩阵代数 - 数值分析 - 计算流体力学 (CFD) 课程特点: - 该课程为全在线学习,学习者可以立即开始并按照自己的时间安排进行学习。 - 课程的适应能力灵活,学习者可以自行设定和维护截止日期。 - 初学者级别,适合具有一年大学级单变量微积分和一定计算机编程能力的学生。 - 预计学习时间约为6个月,建议每周学习5小时。 学习者将完成一个应用项目,编写MATLAB程序解决圆柱周围流动的计算流体力学问题,最终将能够计算著名的卡门涡街。 证书:完成课程后将获得可分享的证书。 支持语言:英语,提供英文、阿拉伯文、法文、葡萄牙文(欧洲)、意大利文、越南文、德文、俄文和西班牙文字幕。 课程链接: 1. [工程师的矩阵代数](https://www.coursera.org/learn/matrix-algebra-engineers) 2. [工程师的微分方程](https://www.coursera.org/learn/differential-equations-engineers) 3. [工程师的向量微积分](https://www.coursera.org/learn/vector-calculus-engineers) 4. [工程师的数值方法](https://www.coursera.org/learn/numerical-methods-engineers) 5. [工程师的数学:顶点课程](https://www.coursera.org/learn/mathematics-engineers-capstone) 通过这个课程,你将掌握工程数学的基础,为你的工程事业打下坚实的基础。

课程大纲

Course Link: https://www.coursera.org/learn/matrix-algebra-engineers

Name:Matrix Algebra for Engineers

Description:Offered by The Hong Kong University of Science and Technology. This course is all about matrices, and concisely covers the linear algebra ... Enroll for free.

Course Link: https://www.coursera.org/learn/differential-equations-engineers

Name:Differential Equations for Engineers

Description:Offered by The Hong Kong University of Science and Technology. This course is all about differential equations and covers both theory and ... Enroll for free.

Course Link: https://www.coursera.org/learn/vector-calculus-engineers

Name:Vector Calculus for Engineers

Description:Offered by The Hong Kong University of Science and Technology. This course covers both the theoretical foundations and practical ... Enroll for free.

Course Link: https://www.coursera.org/learn/numerical-methods-engineers

Name:Numerical Methods for Engineers

Description:Offered by The Hong Kong University of Science and Technology. This course covers the most important numerical methods that an engineer ... Enroll for free.

Course Link: https://www.coursera.org/learn/mathematics-engineers-capstone

Name:Mathematics for Engineers: The Capstone Course

Description:Offered by The Hong Kong University of Science and Technology. Mathematics for Engineers: The Capstone Course provides a capstone project ... Enroll for free.

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课程详情

What you will learn
How to work with matrices and understand some fundamental concepts from linear algebra.
How to solve differential equations and apply them to model physical phenomena.
How to extend single variable calculus to three dimensions and differentiate and integrate scalar and vector fields.
How to analyze basic numerical techniques and write scientific computation programs in MATLAB.
Skills you will gain
Differential Equations
Vector Calculus
Matrix Algebra
Numerical Analysis
Computational Fluid Dynamics (CFD)
About this Specialization
6,416
recent views
This specialization was developed for engineering students to self-study engineering mathematics. We expect students are already familiar with single variable calculus and computer programming. Students will learn matrix algebra, differential equations, vector calculus and numerical methods. MATLAB programming will be taught. Watch the promotional video!
Applied Learning Project
Learners will write MATLAB programs to solve the computational fluid dynamics problem of the flow around a cylinder. At the end of the "Mathematics for Engineers: The Capstone Course", learners will be able to compute the iconic Kármán vortex street.
Watch a video of the Kármán vortex street!
Shareable Certificate
Shareable Certificate
Earn a Certificate upon completion
100% online courses
100% online courses
Start instantly and learn at your own schedule.
Flexible Schedule
Flexible Schedule
Set and maintain flexible deadlines.
Beginner Level
Beginner Level
One year of university level single-variable calculus. Some computer programming ability.
Hours to complete
Approximately 6 months to complete
Suggested pace of 5 hours/week
Available languages
English
Subtitles: English, Arabic, French, Portuguese (European), Italian, Vietnamese, German, Russian, Spanish
Shareable Certificate
Shareable Certificate
Earn a Certificate upon completion
100% online courses
100% online courses
Start instantly and learn at your own schedule.
Flexible Schedule
Flexible Schedule
Set and maintain flexible deadlines.
Beginner Level
Beginner Level
One year of university level single-variable calculus. Some computer programming ability.
Hours to complete
Approximately 6 months to complete
Suggested pace of 5 hours/week
Available languages
English
Subtitles: English, Arabic, French, Portuguese (European), Italian, Vietnamese, German, Russian, Spanish

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