For students who are already fluent with single-variable derivatives and integrals, this workbook offers practice with essential skills from <span class="a-text-bold">multivariable calculus</span> (including <span class="a-text-bold">vector calculus</span>). Each chapter begins with a review of the essential ideas and includes fully solved examples to help serve as a guide. The full solution to every exercise can be found at the back of the book. Authored by experienced teacher, Chris McMullen, Ph.D., this self-study math workbook covers:
<ul class="a-unordered-list a-vertical">
 	<li><span class="a-list-item">partial derivatives</span></li>
 	<li><span class="a-list-item">extreme values with multiple variables (including saddle points)</span></li>
 	<li><span class="a-list-item">vectors, vector analysis (such as the dot and cross products), and <span class="a-text-bold">vector calculus</span></span></li>
 	<li><span class="a-list-item">the gradient, divergence, and curl</span></li>
 	<li><span class="a-list-item">the main coordinate systems: Cartesian, 2D polar, spherical, and cylindrical</span></li>
 	<li><span class="a-list-item">path integrals, surface integrals, and volume integrals</span></li>
 	<li><span class="a-list-item">flux integrals, center of mass, and moment of inertia</span></li>
 	<li><span class="a-list-item">tangent and normal vectors</span></li>
 	<li><span class="a-list-item">and more</span></li>
</ul>
The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for solving calculus problems with multiple variables or vectors.