TY  - BOOK
AU  - Schlicker,Steve
AU  - Austin,David
AU  - Boelkins,Matthew
ED  - Open Textbook Library
TI  - Active Calculus Multivariable
T2  - Open textbook library
SN  - 9781548655525
AV  - QA1 
PB  - Open Textbook Library
KW  - Mathematics
KW  - Textbooks
N1  - Preface9 Multivariable and Vector Functions -- 9.1 Functions of Several Variables and Three Dimensional Space -- 9.2 Vectors -- 9.3 The Dot Product -- 9.4 The Cross Product -- 9.5 Lines and Planes in Space -- 9.6 Vector-Valued Functions -- 9.7 Derivatives and Integrals of Vector-Valued Functions9.8 Arc Length and Curvature -- 10 Derivatives of Multivariable Functions -- 10.1 Limits -- 10.2 First-Order Partial Derivatives -- 10.3 Second-Order Partial Derivatives -- 10.4 Linearization: Tangent Planes and Differentials -- 10.5 The Chain Rule -- 10.6 Directional Derivatives and the Gradient -- 10.7 Optimization -- 10.8 Constrained Optimization:Lagrange Multipliers -- 11 Multiple Integrals -- 11.1 Double Riemann Sums and Double Integrals over Rectangles -- 11.2 Iterated Integrals -- 11.3 Double Integrals over General Regions -- 11.4 Applications of Double Integrals -- 11.5 Double Integrals in Polar Coordinates -- 11.6 Surfaces Defined Parametrically and Surface Area -- 11.7 Triple Integrals -- 11.8 Triple Integrals in Cylindrical and Spherical Coordinates -- 11.9 Change of Variables
N2  - Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts in at least the following ways: the texts are free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the texts are open source, and interested instructors can gain access to the original source files upon request; the style of the texts requires students to be active learners - there are very few worked examples in the texts, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature
UR  - https://open.umn.edu/opentextbooks/textbooks/487
ER  -