000			03419nam a2200361 4500
001			OTLid0000370
003			MnU
005			20201105133322.0
006			m o d s
008			180907s2016 mnu o 0 0 eng d
020			_a
040			_aMnU _beng _cMnU
050		4	_aQA1
050		4	_aQA37.3
100	1		_aStrang, Gilbert _eauthor
245	0	0	_aCalculus _cGilbert Strang _nVolume 2
264		2	_bOpen Textbook Library
264		1	_bOpenStax
300			_a1 online resource
490	0		_aOpen textbook library.
505	0		_aChapter 1: Integration -- 1.1 Approximating Areas -- 1.2 The Definite Integral -- 1.3 The Fundamental Theorem of Calculus -- 1.4 Integration Formulas and the Net Change Theorem -- 1.5 Substitution -- 1.6 Integrals Involving Exponential and Logarithmic Functions -- 1.7 Integrals Resulting in Inverse Trigonometric Functions -- Chapter 2: Applications of Integration -- 2.1 Areas between Curves -- 2.2 Determining Volumes by Slicing -- 2.3 Volumes of Revolution: Cylindrical Shells -- 2.4 Arc Length of a Curve and Surface Area -- 2.5 Physical Applications -- 2.6 Moments and Centers of Mass -- 2.7 Integrals, Exponential Functions, and Logarithms -- 2.8 Exponential Growth and Decay -- 2.9 Calculus of the Hyperbolic Functions -- Chapter 3: Techniques of Integration -- 3.1 Integration by Parts -- 3.2 Trigonometric Integrals -- 3.3 Trigonometric Substitution -- 3.4 Partial Fractions -- 3.5 Other Strategies for Integration -- 3.6 Numerical Integration -- 3.7 Improper Integrals -- Chapter 4: Introduction to Differential Equations -- 4.1 Basics of Differential Equations -- 4.2 Direction Fields and Numerical Methods -- 4.3 Separable Equations -- 4.4 The Logistic Equation -- 4.5 First-order Linear Equations -- Chapter 5: Sequences and Series -- 5.1 Sequences -- 5.2 Infinite Series -- 5.3 The Divergence and Integral Tests -- 5.4 Comparison Tests -- 5.5 Alternating Series -- 5.6 Ratio and Root Tests -- Chapter 6: Power Series -- 6.1 Power Series and Functions -- 6.2 Properties of Power Series -- 6.3 Taylor and Maclaurin Series -- 6.4 Working with Taylor Series -- Chapter 7: Parametric Equations and Polar Coordinates -- 7.1 Parametric Equations -- 7.2 Calculus of Parametric Curves -- 7.3 Polar Coordinates -- 7.4 Area and Arc Length in Polar Coordinates -- 7.5 Conic Sections
520	0		_aCalculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.
542	1		_fAttribution-NonCommercial-ShareAlike
546			_aIn English.
588	0		_aDescription based on online resource
650		0	_aMathematics _vTextbooks
710	2		_aOpen Textbook Library _edistributor
856	4	0	_uhttps://open.umn.edu/opentextbooks/textbooks/370 _zAccess online version
999			_c19763 _d19763