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.

- 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:

- 15 July 2019

More on this topic:

Calculus 1B: Integration

Discover the integral—what it is and how to compute it. See how to use...

Discover the integral—what it is and how to compute it. See how to use...

Calculus: Single Variable

This course provides a brisk, challenging, and dynamic treatment of differential...

This course provides a brisk, challenging, and dynamic treatment of differential...

Linear Circuits

Learn the analysis of circuits including resistors, capacitors, and inductors...

Learn the analysis of circuits including resistors, capacitors, and inductors...

Everything is the Same: Modeling Engineered Systems

This introduction to engineering course will help you learn modeling and analysis...

This introduction to engineering course will help you learn modeling and analysis...

Statistical Molecular Thermodynamics

This introductory physical chemistry course examines the connections between...

This introductory physical chemistry course examines the connections between...

More from 'Mathematics, Statistics and Data Analysis':

Observation Theory: Estimating the Unknown

Learn how to estimate parameters from observational data for real-world engineering...

Learn how to estimate parameters from observational data for real-world engineering...

Introduction to Analytics Modeling

Learn essential analytics models and methods and how to appropriately apply...

Learn essential analytics models and methods and how to appropriately apply...

Computing for Data Analysis

A hands-on introduction to basic programming principles and practice relevant...

A hands-on introduction to basic programming principles and practice relevant...

Data Analytics for Business

This course prepares students to understand business analytics and become leaders...

This course prepares students to understand business analytics and become leaders...

Data Analytics and Visualization in Health Care

Learn best practices in data analytics, informatics, and visualization to gain...

Learn best practices in data analytics, informatics, and visualization to gain...

More from 'edX':

知识产权法律及实务|Big Data and Intellectual Property Law and Practice

懂得在中国如何运用和保护知识产权，为迎接知识经济时代的全球竞争做好准备。Understand how to use and protect intellectual...

懂得在中国如何运用和保护知识产权，为迎接知识经济时代的全球竞争做好准备。Understand how to use and protect intellectual...

Human-Computer Interaction I: Fundamentals & Design Principles

Learn the principles of Human-Computer Interaction to create intuitive, usable...

Learn the principles of Human-Computer Interaction to create intuitive, usable...

Human-Computer Interaction II: Cognition, Context & Culture

Get into the user’s mind and understand the role of mental models and...

Get into the user’s mind and understand the role of mental models and...

Human-Computer Interaction III: Ethics, Needfinding & Prototyping

Build on your knowledge of HCI’s core principles by learning to design...

Build on your knowledge of HCI’s core principles by learning to design...

Human-Computer Interaction IV: Evaluation, Agile Methods & Beyond

Complete your understand of the design life cycle by learning to take interface...

Complete your understand of the design life cycle by learning to take interface...

© 2013-2019