I'm not sure if this is too late - but I'd be happy to offer some resources.
I was taking a mandatory grad level numerical methods course last year - but my research is in fact "engineering education". So I spent some time researching (first of all what the heck is the purpose of numerical methods, because obviously I missed that in my undergrad intro course to numerical methods) and then searching interesting ways that numerical methods courses could be taught.
Firstly - I will emphasize the extreme importance regularly reminding students what the main point of numerical methods is. Sometimes they will get lost in the math, and forget about the whole point of the course. Regularly remind your students the point of numerical methods vs. analytical methods. Otherwise the knowledge will go at the wayside if they get to know how to jump through quiz "hoops" but really have no context of what the heck the purpose of the course is in their big picture. Check out this info: crosscuttingconcepts site, click articles and "introduction to numerical methods".
Really interesting ways of giving lessons!
-Design a car, and numerical configure how it operates, gear ratios etc as the course progresses (using introductory topics), also the mind map is amazing. Great paper and course designed by Coller and Scott 2009 -niu.edu/assessment/committees/CAN/PresentationsPapersArticles/coller-scott-2009-computers-and-education.pdf
-Motivational elements/examples. How Disney uses numerical methods (maybe higher level) to model life situations... search disney animations, click technology to see how they used numerical methods in the movie frozen.
-All courses like "numerical methods" have a culture and traditional structure (referred to as signature pedagogies). In this book "Exploring Signature Pedagogies: Approaches to Teaching ... " - and you find numerical methods in the computer science section (pg 250) You can see a few recommendations for new ways to adapt the education of topics like this (like "an expectation for interactivity and application to their world").Look at using programming to let them in real time engage in the course material with a wow factor. Good possible platforms may be WebGL, or consult with comp sci visualization faculty. Search "chrome experiments" so see those amazing ways of using numerical methods.
Lauren Jatana