Engineering Calculus and Differential Equations

Kwok Wing Chow, Kai Man Tsang, HKUx

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.

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, you will be able to construct relatively simple models of change and deduce their consequences. By studying these, you will learn how to monitor and even control a 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.

What will you learn

  • Limits, Continuity, and Differentiation in Engineering 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 and Laplace 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

会期:
  • 2019年11月18日
介绍:
  • 免费:
  • 收费:
  • 证书:
  • MOOC:
  • 视频讲座:
  • 音频讲座:
  • Email-课程:
  • 语言: 英语 Gb

反馈

目前这个课程还没有反馈。您想要留第一个反馈吗?

请注册, 为了写反馈

Show?id=n3eliycplgk&bids=695438
NVIDIA
还有这个题目的:
9359cd1d-8478-4784-888b-dea198ce4722-470cbeaf4f23.small Calculus 1B: Integration
Discover the integral—what it is and how to compute it. See how to use...
Csv-logo-redo Calculus: Single Variable
This course provides a brisk, challenging, and dynamic treatment of differential...
Linear-circuits-icon600x340 Linear Circuits
Learn the analysis of circuits including resistors, capacitors, and inductors...
Tdmurpheycourseralogo Everything is the Same: Modeling Engineered Systems
This introduction to engineering course will help you learn modeling and analysis...
Final-train Statistical Molecular Thermodynamics
This introductory physical chemistry course examines the connections between...
还有标题«数学与统计»:
Logo2 Network Science
The course is an interdisciplinary course, focused on the emerging science of...
Ff65ad9e-615d-4854-a260-85c56f14e267-408951deadc1.small Image Processing and Analysis for Life Scientists
Basic image analysis for life scientists with a non-engineering background....
F6aab075-0a3a-470a-ae15-51be9167de17-d042de2bd4eb.small Big Data and Education
Learn the methods and strategies for using large-scale educational data to improve...
D6b3439e-b8ca-4b80-bb97-24847723b78b-c741973e881f.small Introduction to Predictive Analytics
In the age of Big Data, businesses need predictive analysts to help them excel...
Ampcamp4-logo Big Data Mini Course: AMP Camp 4 hands-on exercises
The exercises we cover today will have you working directly with the Spark specific...
还有edX:
315ce06a-d9f7-4c7e-ac11-1fe99e20893e-ff14684c60b3.small CS50 for Lawyers
This course is a variant of Harvard University's introduction to computer science...
E7b4ba89-e03d-4b47-87fb-b6695a1cc678-5a069e55a536.small Existential Well-being Counseling: A Person-centered Experiential Approach
Explore existential themes in your personal and professional life. Develop strengths...
E84f731a-6611-4d90-9317-3a32bfd49ccd-d8ffad9ddf6c.small Artificial Intelligence (AI)
Learn the fundamentals of Artificial Intelligence (AI), and apply them. Design...
A35c8b84-f0ef-4eb0-ad44-52f4bc61d7df-1a94948960ea.small Machine Learning
Master the essentials of machine learning and algorithms to help improve learning...
95c877f3-076a-4dee-a640-9c6069ca0114-4935ebffae37.small Animation and CGI Motion
Learn the science behind movie animation from the Director of Columbia&rsquo...

© 2013-2019