The Hong Kong University of Science and Technology

Mathematics for Engineers 专项课程

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The Hong Kong University of Science and Technology

Mathematics for Engineers 专项课程

Learn the mathematics needed to become an engineer. Study matrix algebra, differential equations, vector calculus, numerical methods and complete a capstone project.

Jeffrey R. Chasnov

位教师:Jeffrey R. Chasnov

顶尖授课教师

32,043 人已注册

包含在 Coursera Plus

深入学习学科知识
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推荐体验

3 月 完成
在 10 小时 一周
灵活的计划
自行安排学习进度
深入学习学科知识
4.9

(999 条评论)

初级 等级

推荐体验

3 月 完成
在 10 小时 一周
灵活的计划
自行安排学习进度

您将学到什么

  • 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.

要了解的详细信息

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授课语言:英语(English)

了解顶级公司的员工如何掌握热门技能

Petrobras, TATA, Danone, Capgemini, P&G 和 L'Oreal 的徽标

精进特定领域的专业知识

  • 向大学和行业专家学习热门技能
  • 借助实践项目精通一门科目或一个工具
  • 培养对关键概念的深入理解
  • 通过 The Hong Kong University of Science and Technology 获得职业证书

专业化 - 5门课程系列

Matrix Algebra for Engineers

Matrix Algebra for Engineers

第 1 门课程 19小时

您将学到什么

  • Matrix multiplication, transpose, inverse, orthogonal matrices

  • Gaussian elimination, reduced row echelon form, LU decomposition

  • Vector Spaces, linear independence, Gram-Schmidt process, null space, column space, least-squares problem

  • Determinants, Laplace expansion, Leibniz formula, eigenvalue problem, matrix diagonalization, powers of a matrix

您将获得的技能

类别:Linear Algebra
类别:Engineering Calculations
类别:Computational Logic
类别:Arithmetic
类别:Engineering Analysis
类别:Applied Mathematics
类别:Advanced Mathematics
类别:General Mathematics
类别:Algebra
Differential Equations for Engineers

Differential Equations for Engineers

第 2 门课程 26小时

您将学到什么

  • Separable and linear first-order differential equations, and their applications

  • Homogeneous and inhomogeneous second-order differential equations, and their applications

  • The Laplace transform and series solution methods

  • Systems of differential equations and partial differential equations

您将获得的技能

类别:Differential Equations
类别:Linear Algebra
类别:Calculus
类别:Engineering Analysis
类别:Mathematical Modeling
类别:Advanced Mathematics
类别:Numerical Analysis
类别:Integral Calculus
类别:Applied Mathematics
类别:Derivatives
类别:Electrical Engineering
类别:Vibrations
Vector Calculus for Engineers

Vector Calculus for Engineers

第 3 门课程 29小时

您将学到什么

  • Vectors, the dot product and cross product

  • The gradient, divergence, curl, and Laplacian

  • Multivariable integration, polar, cylindrical and spherical coordinates

  • Line integrals, surface integrals, the gradient theorem, the divergence theorem and Stokes' theorem

您将获得的技能

类别:Applied Mathematics
类别:Integral Calculus
类别:Calculus
类别:Geometry
类别:Derivatives
类别:electromagnetics
类别:Engineering
类别:Engineering Calculations
类别:Electrical Engineering
类别:Physics
类别:Mechanics
类别:Mechanical Engineering
类别:Engineering Analysis
类别:Advanced Mathematics
Numerical Methods for Engineers

Numerical Methods for Engineers

第 4 门课程 40小时

您将学到什么

  • MATLAB and the foundations of scientific computing

  • Root finding methods such as Newton's method, and numerical linear algebra using the LU decomposition

  • Integration methods such as adaptive quadrature, and interpolation algorithms using a cubic spline

  • Numerical methods for solving ODEs, such as Runge-Kutta, and the finite difference method for solving PDEs

您将获得的技能

类别:Numerical Analysis
类别:Matlab
类别:Differential Equations
类别:Linear Algebra
类别:Scientific Visualization
类别:Applied Mathematics
类别:Engineering Calculations
类别:Engineering Analysis
类别:Scripting
类别:Algorithms
类别:Programming Principles
类别:Mathematical Software
类别:Estimation
类别:Integral Calculus
类别:Simulations
类别:Simulation and Simulation Software
类别:Mathematical Modeling
类别:Calculus
类别:Computational Thinking
类别:Plot (Graphics)

您将学到什么

  • Fundamentals of computational fluid dynamics

  • How to construct and solve a numerical method for computing the flow field around an infinite cylinder

您将获得的技能

类别:Matlab
类别:Numerical Analysis
类别:Engineering Analysis
类别:Mathematical Software
类别:Differential Equations
类别:Mathematical Modeling
类别:Finite Element Methods
类别:Advanced Mathematics
类别:Applied Mathematics
类别:Simulation and Simulation Software
类别:Mechanical Engineering
类别:Calculus

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位教师

Jeffrey R. Chasnov

顶尖授课教师

The Hong Kong University of Science and Technology
17 门课程 247,368 名学生

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