000			03299nam a2200385 4500
001			OTLid0000487
003			MnU
005			20201105133334.0
006			m o d s
008			180907s2017 mnu o 0 0 eng d
020			_a9781548655525
040			_aMnU _beng _cMnU
050		4	_aQA1
050		4	_aQA37.3
100	1		_aSchlicker, Steve _eauthor
245	0	0	_aActive Calculus Multivariable _cSteve Schlicker
264		2	_bOpen Textbook Library
264		1	_bGrand Valley State University
300			_a1 online resource
490	0		_aOpen textbook library.
505	0		_aPreface9 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
520	0		_aActive 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.
542	1		_fAttribution-NonCommercial-ShareAlike
546			_aIn English.
588	0		_aDescription based on online resource
650		0	_aMathematics _vTextbooks
700	1		_aAustin, David _eauthor
700	1		_aBoelkins, Matthew _eauthor
710	2		_aOpen Textbook Library _edistributor
856	4	0	_uhttps://open.umn.edu/opentextbooks/textbooks/487 _zAccess online version
999			_c19870 _d19870