For Instructors How this book can help you teach multivariable calculus

Flipped Course

A ready-made flipped course for your class

A great way to make more student-active use of your classroom time is to do a "flip" -- students get the "lecture" that would traditionally have taken up the class meeting period by way of video "pre-lectures" they watch before class, and then the class meeting period is available for activities that get students more actively involved with the material and the instructor. One of the disadvantages though is that it is considerable effort to produce the video pre-lectures.

With this book, the pre-lectures are ready made -- just use the course lectures on YouTube!

With the extra class time, you can give short quizzes to gauge progress, do example applications, take questions, assign short group activities, or any of a range of other active learning techniques. Exercises in the book that you do not assign for homework can be nice seeds for these sorts of activities.

Free Exam Materials

Years of exams from Prof. Bray's Duke class, with full solutions

Instructors are welcome to look through Prof. Bray's old midterm exams for ideas to use in your own courses. This is a good resource for class activities in a flipped course as discussed above, and you can even use the questions to give you ideas for questions to use on your own exams. All of these past midterm exams from Prof. Bray's Duke course, both blanks and with solutions, are publicly available. (Just keep in mind that your students have access to these materials too!)

Complimentary Review Copy

Take a closer look!

If you think you might be interested in using this book in your own course, contact Prof. Bray for a complimentary review copy of the book. And of course please also look through the extensive YouTube resources and exam materials that will be there to help you help your students if you choose to use this textbook.

Email "cbray@math.duke.edu", and include your name, school, the course you are teaching, your mailing address; and please also indicate how you found out about this book and why you are interested.