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

Dates:
  • 14 January 2019
Course properties:
  • Free:
  • Paid:
  • Certificate:
  • MOOC:
  • Video:
  • Audio:
  • Email-course:
  • Language: English Gb

Reviews

No reviews yet. Want to be the first?

Register to leave a review

More on this topic:
10b4fbe2-d60d-4d5e-9d7e-f01b0a317c5d-42b62a6ad9f3.small Computational Thinking for Modeling and Simulation
Develop the thought processes involved in formulating a problem so a computer...
Fd92782d-f46f-401b-97d3-fc7bb0266c6f-9450d3afa367.small Calculus 1C: Coordinate Systems & Infinite Series
Master the calculus of curves and coordinate systems; approximate functions...
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...
More from 'Mathematics, Statistics and Data Analysis':
0cdd5dc6-a20e-4d34-a346-fcbb9c4249f8-af48b96e5de8.small Marketing Analytics: Marketing Measurement Strategy
Learn best approaches and practices for marketing measurement, including how...
85f4d5ec-01a7-42bd-86c6-db364e68efa0-ce665ac6d855.small Evidence-Based Project Management
Learn which project management strategies, tools and techniques are most effective...
Bd426e10-8994-45bc-859f-c4259ff7a9e9-ab5985408b14.small 数据挖掘:理论与算法 | Data Mining: Theories and Algorithms for Tackling Big Data
Unraveling the mysteries of Data Mining and Big Data, this course is a must...
16e7e19f-9036-4916-a1c8-2b799b502212-fd26e30daefc.small Linear Algebra - Foundations to Frontiers
Learn the mathematics behind linear algebra and link it to matrix software development...
04bb6923-aa77-45b6-b6a9-f2813a155a2b-90417873c795.small From Graph to Knowledge Graph – Algorithms and Applications
Learn the fundamental algorithms and theories used for understanding large-scale...
More from 'edX':
835abbce-5045-4237-8250-0a14c42b5b4f-6278bbe786a6.small Management Accounting
Learn management accounting techniques to support businesses to plan, control...
61ceedf9-b276-45dd-bb3b-c176936d17e9-309a94c059bc.small Accountant in Business
Understand the role of accountants in ensuring businesses operate effectively...
28339691-3b1c-493f-8927-cadbf0c5ec98-c652685d453e.small Financial Accounting
Learn the underlying concepts of financial accounting, accounting techniques...
Dc11dbe9-22da-4910-b17c-b981a6a4593b-ad9dea10ba45.small Best Practices for Project Management Success
Learn how to create an organizational environment that supports project success...
9d419825-0c0a-4b8c-be67-17c68788c366-3af143ce4bd0.small International Project Management
Learn what makes global projects uniquely challenging and how to successfully...

© 2013-2017