Tisdell Christopher C. Engineering Mathematics: YouTube Workbook

2nd ed. — Bookboon, 2013. — 77 p. — ISBN: 978-87-403-0522-7.Workbook takes learning to a new level by combining free written lessons with free online video tutorials. Each section within the workbook is linked to a video lesson on YouTube where the author discusses and solves problems step-by-step.
The combination of written text with interactive video offers a high degree of learning flexibility by enabling the student to take control of the pace of their learning delivery. For example, key mathematical concepts can be reinforced or more deeply considered by rewinding or pausing the video. Due to these learning materials being freely available online, students can access them at a time and geographical location that suits their needs.
How to use this workbook
This workbook is designed to be used in conjunction with the author's free online video tutorials. Inside this workbook each chapter is divided into learning modules (subsections), each having its own dedicated video tutorial.
View the online video via the hyperlink located at the top of the page of each learning module, with workbook and paper / tablet at the ready. Or click on the Engineering Mathematics YouTube Workbook playlist where all the videos for the workbook are located in chronological order:
Engineering Mathematics YouTube Workbook Playlist
While watching each video, fill in the spaces provided after each example in the workbook and annotate to the associated text.
You can also access the above via the author's YouTube channel Dr Chris Tisdell's YouTube Channel
The delivery method for each learning module in the workbook is as follows:
Briefly motivate the topic under consideration;
Carefully discuss a concrete example;
Mention how the ideas generalize;
Provide a few exercises (with answers) for the reader to try.
Incorporating YouTube as an educational tool means enhanced eLearning benefits, for example, the student can easily control the delivery of learning by pausing, rewinding (or fast-forwarding) the video as needed.
The subject material is based on the author's lectures to engineering students at UNSW, Sydney. The style is informal. It is anticipated that most readers will use this workbook as a revision tool and have their own set of problems to solve -- this is one reason why the number of exercises herein are limited.
Two semesters of calculus is an essential prerequisite for anyone using this workbook.How to use this workbook
About the authorPartial derivatives & applications
Some max/min problems for multivariable functions
A glimpse at vector calculus
Double integrals and applications
Ordinary differential equations
Laplace transforms and applications
Fourier series
PDEs & separation of variables