LEADER 05738nam 2200553I 450 001 9910154935603321 005 20230808200813.0 010 $a1-4654-5822-0 035 $a(CKB)3710000000972392 035 \\$a(Safari)9781465458216 035 $a(OCoLC)970818532 035 $a(OCoLC)ocn970818532 035 $a(WaSeSS)IndRDA00090404 035 $a(MiAaPQ)EBC5338105 035 $a(Au-PeEL)EBL5338105 035 $a(CaONFJC)MIL971094 035 $a(OCoLC)1031965219 035 $a(EXLCZ)993710000000972392 100 $a20170131d2016 uy 0 101 0 $aeng 135 $aurunu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCalculus II /$fby Chris Monahan 205 $aFirst American edition. 210 1$aIndianapolis, Indiana :$cAlpha,$d2016. 215 $a1 online resource (1 volume) $cillustrations 225 1 $aIdiot's guides 311 $a1-4654-5440-3 327 $aIntro -- Contents iii -- Part 1: Review of Pre-Calculus and Calculus I 1 -- 1 Pre-Calculus Topics Used in Calculus II 3 -- Trigonometry 4 -- Exponents and Logarithms 6 -- Parametric Equations 8 -- Polar Coordinates 10 -- Geometric Sequences and Series 14 -- Partial Fractions 15 -- 2 Limits, Derivatives, and Basic Integration 19 -- Limits 20 -- Derivatives 23 -- Implicit Differentiation 28 -- Mean Value Theorem 29 -- Relative Extremes and Concavity 30 -- Applications of the Derivative 33 -- Related Rates 36 -- 3 Definite and Indefinite Integrals 41 -- Indefinite Integrals 42 -- u-Substitutions 46 -- Fundamental Theorem of Calculus 50 -- Numerical Approximation 54 -- Part 2: Length, Area, and Volumes 61 -- 4 Areas and Approximations 63 -- Riemann Sums 64 -- From Numerical Approximations to the True Area 76 -- Average Value of a Function 80 -- Area Between Two Curves 81 -- Simpson's Rule 86 -- 5 Volumes and Areas of Solids of Revolutions 91 -- Volumes of Solids with Defined Cross Sections 92 -- Disks and Washers 97 -- Cylindrical Shell Method 106 -- Arc Length 110 -- Surface Area 113 -- Part 3: More Definite and Indefinite Integrals 117 -- 6 More Integration Techniques 119 -- Integration by Parts 120 -- Polynomials and Transcendentals 123 -- Two Transcendentals 129 -- 7 Integration with Trigonometric Functions 133 -- Trigonometric Substitutions 134 -- Case I: a2 + x2 134 -- Case II: x2 - a2 136 -- Case III: a2 - x2 138 -- Integrals of the Form sinn(x) cosm(x) (When Either m or n Is Odd) 139 -- Case I: Both m and n Are Odd 139 -- Case II: Both m and n Are Even 140 -- Case III: Either m or n Is Odd 141 -- Integrals with Integrands of the Form tann(x) secm(x) (m Is Even) 142 -- Integrals with Integrands of the Form tann(x) secm(x) (m Is Odd, n Is Even) 143 -- 8 Integration with Fractions 147 -- Completing the Square 148. 327 $aIntegration by Partial Fractions 152 -- Nonrepeating Linear Factors 152 -- Repeated Linear Factors 154 -- Irreducible Quadratic Factors 155 -- Part 4: The Infinite Series and More 159 -- 9 To Infinity and Beyond 161 -- Improper Integrals 162 -- Infinite Limits of Integration 162 -- Discontinuities in the Integrand 165 -- Comparison Test for Improper Integrals 168 -- 10 Parametric Equations 171 -- First and Second Derivatives of Parametric Curves 172 -- Arc Length of a Parametric Curve 178 -- 11 Polar Coordinates 181 -- Slope of the Tangent Line 182 -- Length of an Arc of a Polar Curve 187 -- Area Under a Curve 189 -- 12 Introduction to Vectors 195 -- Scalars and Vectors 196 -- 13 Differential Equations 205 -- Separable Differential Equations 206 -- Linear Approximations 212 -- Euler's Method 214 -- Slope Fields 217 -- First Order Linear Differential Equations 222 -- 14 Infinite Sequences 227 -- Convergence and Divergence of Sequences 228 -- Squeeze Theorem 231 -- Increasing, Decreasing, and Monotonic Sequences 233 -- 15 Infinite Series 237 -- Infinite Geometric Series 238 -- Tests of Convergence 239 -- Alternating Series 244 -- Estimating the Sum of Alternating Series 247 -- 16 Power Series 249 -- Power Series 250 -- MacLaurin Series 252 -- Taylor Series 258 -- Error Estimates for the MacLaurin and Taylor Series 260 -- 17 Calculus II Final Exam 263 -- Chapter 1 264 -- Chapter 2 264 -- Chapter 3 265 -- Chapter 4 266 -- Chapter 5 266 -- Chapter 6 267 -- Chapter 7 267 -- Chapter 8 268 -- Chapter 9 268 -- Chapter 10 268 -- Chapter 11 269 -- Chapter 12 269 -- Chapter 13 270 -- Chapter 14 270 -- Chapter 15 271 -- Chapter 16 271 -- Solutions 272 -- Chapter 1 272 -- Chapter 2 272 -- Chapter 3 273 -- Chapter 4 273 -- Chapter 5 274 -- Chapter 6 274 -- Chapter 7 274 -- Chapter 8 275 -- Chapter 9 275 -- Chapter 10 275 -- Chapter 11 275 -- Chapter 12 276. 327 $aChapter 13 276 -- Chapter 14 277 -- Chapter 15 277 -- Chapter 16 277 -- A Solutions to "You've Got Problems" 279 -- B Integration Practice Problems and Solutions 297 -- C Glossary 307 -- Index 313. 330 $aIdiot's Guides: Calculus II, like its counterpart Idiot's Guides: Calculus I, is a curriculum-based companion book that continues the tradition of taking the sting out of calculus by adding more explanatory graphs and illustrations in easy-to-understand language, practice problems, and even a test at the end. Idiot's Guides: Calculus II is geared for all students who need to succeed in calculus. 410 0$aIdiot's guides. 517 3 $aCalculus 2 517 3 $aCalculus two 517 3 $aIdiot's guides Calculus II 606 $aCalculus 615 0$aCalculus. 676 $a515 700 $aMonahan$b Chris$01249689 801 0$bUMI 801 1$bUMI 801 2$bUMI 906 $aBOOK 912 $a9910154935603321 996 $aCalculus II$92895910 997 $aUNINA LEADER 02406nam 22004093a 450 001 9910131414303321 005 20250204001107.0 024 8 $ahttps://doi.org/10.7476/9788523208868 035 $a(CKB)3710000000492937 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/41296 035 $a(ScCtBLL)77c7fa1d-e3ac-4b2b-81d9-9c0230855a0e 035 $a(oapen)doab41296 035 $a(EXLCZ)993710000000492937 100 $a20250204i20052020 uu 101 0 $apor 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aArquitetura militar ou fortificação moderna$fDiogo da Sylveyra Vellozo 210 $cSciELO Books - EDUFBA$d2005 210 1$a[s.l.] :$cEditora da Universidade Federal da Bahia,$d2005. 215 $a1 electronic resource (370 p.) 311 08$a9788523203733 311 08$a8523203737 311 08$a9788523208868 311 08$a8523208860 330 $aO professor e arquiteto Mário Mendonça de Oliveira lançou em Salvador, por intermédio da editora da Universidade Federal da Bahia, um tratado inédito de Engenharia Militar, escrito em Pernambuco pelo Brigadeiro Diogo da Silveira Vellozo, e intitulado "Arquitetura Militar ou Fortificação Moderna", um texto interessantíssimo do século XVIII, que consegue desvendar, para os não iniciados, os segredos da fortificação abaluartada e da engenharia da época. Trata-se de texto obrigatório para historiadores, engenheiros, arquitetos e restauradores. O professor Mário Mendonça organizou e transcreveu o manuscrito, acrescentando abundantes notas explicativas que aclaram o texto original, que contém ainda 49 pranchas de desenhos que foram reproduzidos com sistema digital. É um documento que permite ver a grande erudição e conhecimento deste personagem da construção do Brasil. Este livro vem se juntar a outra publicação recente do professor Mário Mendonça, "As Fortificações Portuguesas de Salvador", ambas obras fundamentais para o conhecimento das fortificações militares no Brasil. 606 $aEducators$zBrazil$zSalvador$vBiography 615 0$aEducators 700 $ada Sylveyra Vellozo$b Diogo$01788261 801 0$bScCtBLL 801 1$bScCtBLL 906 $aBOOK 912 $a9910131414303321 996 $aArquitetura militar ou fortificação moderna$94322840 997 $aUNINA