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, 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.

What will you learn

  • 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

  • 2020年3月12日
  • 免费:
  • 收费:
  • 证书:
  • MOOC:
  • 视频讲座:
  • 音频讲座:
  • Email-课程:
  • 语言: 英语 Gb



请注册, 为了写反馈

9359cd1d-8478-4784-888b-dea198ce4722-3219c4264f1d.small Calculus 1B: Integration
Discover the integral—what it is and how to compute it. See how to use calculus...
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...
7b2ecb24-2874-402b-ad86-473e246cae0c-aa0d4ca8dc73.small RiceX Linear Algebra Part 1
This course is an introduction to linear algebra. You will discover the basic...
91f52ef3-fa3f-4934-9d19-8d5a32635cd4-d99e27f09d19.small Data Science: R Basics
Build a foundation in R and learn how to wrangle, analyze, and visualize data...
B4072f23-f746-43a1-9819-8e3d8b066f38-76465b3bdbcc.small Data Science: Visualization
Learn basic data visualization principles and how to apply them using ggplot2...
54a056bd-bfd5-45a2-ba71-aad017e1d275-a2fbb913691a.small Data Science: Probability
Learn probability theory -- essential for a data scientist -- using a case study...
C654bfe1-69ba-4a2b-8be1-9acb2e846855-3aa512994f13.small Data Science: Inference and Modeling
Learn inference and modeling, two of the most widely used statistical tools...
4e32f396-cd37-43a3-a856-3704a1061849-f64a6df7ccc4.small Leadership and Influence
Develop the skills to motivate and inspire others so you can confidently lead...
E435bd5b-8843-40c8-b260-ce34433d9a0e-a3897f869072.small Global Business Strategy
Learn how to capitalize on opportunities, and manage the challenges of the global...
B093db1a-4553-4ec3-a44b-96c71d1da0a5-b6dc2ba5887a.small Mining for Development: The Taxation Linkage
Understand taxation for development and sustainability in mining. Tax revenues...
C2f40fe6-7bcf-45f5-b1bc-e906563c1f3d-30f087164b1d.small Digital Transformation in Business
Learn about the explosion of technologies that are transforming business and...
7b2ecb24-2874-402b-ad86-473e246cae0c-aa0d4ca8dc73.small RiceX Linear Algebra Part 1
This course is an introduction to linear algebra. You will discover the basic...

© 2013-2019