Skip to Main Content

Search in course

Search

Browse

Top Courses

Profile

My Purchases

Settings

Updates

Accomplishments

Help Center

Log Out

ahmad

Mathematics for Engineers: The Capstone Course

Week 1

Welcome and Course Information

Next

Item Navigation

Welcome to Mathematics for Engineers: The Capstone Course

Reading: ReadingWelcome and Course Information
. Duration: 2 minutes2 min

Video: VideoCourse Overview
. Duration: 2 minutes2 min

Reading: ReadingMATLAB Online
. Duration: 5 minutes5 min

Ungraded Plugin: Deep Dive into the Flow Around a Cylinder
. Duration: 17 minutes17 min

Introduction to Week One

Governing Equations

Flow Geometry

Nondimensionalization and Coordinates

Quiz

Welcome and Course Information

Welcome to Mathematics for Engineers: The Capstone Course!

This last course in the Mathematics for Engineers specialization pulls together material from all of the previous courses to solve a challenging computational fluid dynamics (CFD) problem: the two-dimensional flow around a cylinder. In this course, you will apply the Navier-Stokes equations to solve this problem and will gain an understanding of some of the numerical methods and algorithms used to solve CFD simulations.

Course Materials

This course is divided into three weeks. The first week derives the governing equations for the flow, the second week solves the steady flow problem, and the third week solves the unsteady flow problem. After each video lecture, I post some suggested problems for you to solve. The second and third weeks culminate with a substantial programming project in MATLAB. The projects will require you to apply the equations and numerical methods you have learned to solve the CFD simulation for steady and unsteady flows.

Textbook

My lecture notes for this course can be downloaded in a pdf format at the link

https://www.math.hkust.edu.hk/~machas/flow-around-a-cylinder.pdf

A paperback edition of my lecture notes may also be purchased from amazon.com at the link

https://www.amazon.com/Flow-Around-Cylinder-Mathematics-Engineers/dp/B0BPW3JSMX/

My lecture notes are divided into Lectures corresponding to the Coursera videos. At the end of each Lecture are some problems, and my solutions to these problems are at the back of the notes. The pdf file is clickable, and it is easy to jump between the problems and their solutions. At the end of Week Two and Three, I have included a description of the assessed MATLAB programming projects.

After watching a video, I recommend that you read the corresponding Lecture in my notes to further cement the material in your mind.

Problems

After each video, there are some problems for you to solve. I recommend that you try to solve these problems. You cannot truly learn mathematics without doing problems. After you solve the Coursera problems, or get stuck, you can then read my suggested solutions in my notes.

Programming Projects

The programming projects at the end of Week Two and Three are graded. You will need to complete both of these projects to pass the course and be eligible to receive the course certificate.

Discussion Forums

I review the Discussion Forums almost every day, so please do not hesitate to reach out to me if you have any questions or need any help. There is also a Discussion Forum titled MATLAB Technical Help

. The MathWorks employee, Matt Rich, who helped me set up the MATLAB Grader, reads this forum and is more than happy to answer questions specific to MATLAB. And there is a discussion forum titled Get to Know Your Classmates

, where you can introduce yourself to other students in the course.

The flow past a cylinder is an iconic problem in fluid dynamics, and it is a great opportunity to apply some of the mathematical knowledge and numerical methods you have learned in this specialization. I hope you enjoy solving this problem as much as I did, and that you take away a greater understanding of fluid dynamics and scientific computation from this course.

Jeff Chasnov

Mark as completed

Like

Dislike

Report an issue

Chat with us