工程微积分和微分方程

Engineering Calculus and Differential Equations

Learn fundamental concepts of single-variable calculus and ordinary differential equations, as well as their applications in engineering fields. Apply mathematical skills to model and solve engineering problems.

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香港大学
edX
  • 完成时间大约为 6
  • 初级
  • 英语
注:因开课平台的各种因素变化,以上开课日期仅供参考

你将学到什么

Limits, Continuity,andDifferentiation inEngineering Calculus

Applications of Derivatives

Parametric Equations and Polar Coordinates

Techniques of Integration

Applications of Definite Integrals

Engineering Differential Equations and First Order Equations

Homogeneous,Inhomogeneous Equations, and Exact Equations

Homogeneous Linear Equations with Constant Coefficients

Cauchy-Euler Equations andLaplace Transforms

How to analyze a given engineering problem

Ways to identify appropriate calculus and ordinary differential equations (ODE) skills

How to formulate the mathematical problem

How to find the solutions for engineering problems

课程概况

How do electrical engineers find out all the currents and voltages in a network of connected components? How do civil engineers calculate the materials necessary to construct a curved dome over a new sports arena? How do space flight engineers launch an exploratory probe?

If questions like these pique your interest, this course is for you!

Calculus with differential equations is the universal language of engineers. In this course, “Engineering Calculus and Differential Equations,” we will introduce fundamental concepts of single-variable calculus and ordinary differential equations. We’ll explore their applications in different engineering fields. In particular, you will learn how to apply mathematical skills to model and solve real engineering problems.

This course will enable you to develop a more profound understanding of engineering concepts and enhance your skills in solving engineering problems. In other words, youwill be able to construct relatively simple models of change and deduce their consequences. By studying these, youwill learn how to monitor and even controla given system to do what you want it to do.

Techniques widely used in engineering will be illustrated; such as Laplace transform for solving problems in vibrations and signal processing. We have designed animations and interactive visualizations to supplement complex mathematical theories and facilitate understanding of the dynamic nature of topics involving calculus.

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