Text materials for MTH 255

The approach to vector calculus used in this course can not currently be found in any traditional textbook.

As part of a national project to improve the teaching of vector calculus, we have developed an approach to teaching vector calculus that emphasizes geometric reasoning and conceptual understanding. We are in the process of writing an online textbook using this approach; this is an ongoing process.

Where does this leave you?

• The primary text will be the online textbook The Geometry of Vector Calculus, by Tevian Dray and Corinne A. Manogue. This book is freely available, but no printed version exists.
• A useful supplement is the MTH 255 Study Guide, by Tevian Dray. This study guide predates the online text, but summarizes the same basic ideas. Electronic copies on CD will be distributed during recitation.
• You are not required to purchase a copy of Briggs/Cochran, the text used in MTH 251–254.
  However, if you already have a copy of that book — or any other traditional calculus textbook — you will likely find it a useful reference, so long as you are aware that its approach differs considerably from that used in class.
• If you still have access to MyMathLab, some online practice problems will be posted using that system.
  Please be aware that while many of these problems do provide good practice, they are taken from another instructor and do not accurately reflect the goals of this course. In most cases, these problems should be regarded as warmup exercises only.

Constructive feedback on the content, presentation, and usefulness of the online text are welcome, and can be sent to me via email, or anonymously by leaving a note with my name on it in the mathematics department office (Kidder 368).

Tevian Dray