{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 2 0 1 0 0 0 0 0 0 1 }{CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE " " -1 257 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 261 "" 1 12 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 262 "" 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 }{CSTYLE "" -1 263 "" 1 14 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 266 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 267 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 268 "" 0 1 0 0 0 0 1 2 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 269 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 270 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 271 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 272 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 273 "" 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 274 "" 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 275 "" 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 276 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 277 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 278 "" 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 279 "" 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 280 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 6 6 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "Times " 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 4 4 1 0 1 0 2 2 0 1 } {PSTYLE "Heading 3" -1 5 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 1 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Bullet Item" -1 15 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 3 3 1 0 1 0 2 2 15 2 }{PSTYLE "Heading 4" -1 20 1 {CSTYLE "" -1 -1 "Times" 1 10 0 0 0 1 1 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "New Page" -1 256 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 1 2 0 1 }{PSTYLE "Heading 1 " -1 257 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 } 3 1 0 0 6 6 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 258 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 259 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Bullet Item " -1 260 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 1 1 1 1 } 1 1 0 0 3 3 1 0 1 0 2 2 15 2 }{PSTYLE "Bullet Item" -1 261 1 {CSTYLE " " -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 3 3 1 0 1 0 2 2 15 2 }} {SECT 0 {SECT 1 {PARA 257 "" 0 "" {TEXT -1 51 "Math 405 Spring 2000 Hy perlinks to Maple Resources " }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 8 "Ab stract" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 8 "Keywords" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{SECT 1 {PARA 257 " " 0 "" {TEXT -1 20 "Dr. George R. Barnes" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 25 "How to Contact Dr. Barnes" }}{PARA 259 "" 0 "" {TEXT -1 29 "Home Page:................. " }{URLLINK 17 "http://www.math.louis ville.edu/~grbarn01" 4 "http://www.math.louisville.edu/~grbarn01" "" } {TEXT -1 2 " ." }}{PARA 259 "" 0 "" {TEXT -1 32 "405 Page:............ ......... " }{URLLINK 17 "http://www.math.louisville.edu/~grbarn01/40 5/405home.html" 4 "http://www.math.louisville.edu/~grbarn01/405/405hom e.html" "" }{TEXT -1 2 " ." }}{PARA 259 "" 0 "" {TEXT -1 23 "405 Annou ncements:... " }{URLLINK 17 "http://www.math.louisville.edu/~grbarn01 /405/405a.html" 4 "http://www.math.louisville.edu/~grbarn01/405/405a.h tml" "" }{TEXT -1 2 " ." }}{PARA 259 "" 0 "" {TEXT -1 22 "405 Maple Re sources: " }{URLLINK 17 "http://www.math.louisville.edu/~grbarn01/405 /maple/_405_MapleResources.mws" 4 "http://www.math.louisville.edu/~grb arn01/405/maple/_405_MapleResources.mws" "" }{TEXT -1 2 " ." }}{PARA 259 "" 0 "" {TEXT -1 4 " " }}{PARA 259 "" 0 "" {TEXT -1 48 "email: \+ george.barnes@louisville.edu" }}{PARA 259 "" 0 "" {TEXT -1 31 "Phone: 502-852-2727" }}{PARA 259 "" 0 "" {TEXT -1 32 "FAX: 502-852-7132 " }}{PARA 259 "" 0 "" {TEXT -1 32 "Dept: 502-852-6826" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 259 "" 0 "" {TEXT -1 40 "Mail: Dr. George R. Barne s" }}{PARA 259 "" 0 "" {TEXT -1 45 " Mathematic s Depatment" }}{PARA 259 "" 0 "" {TEXT -1 58 " \+ University of Louisville, KY 40292" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} }{SECT 1 {PARA 4 "" 0 "" {TEXT -1 14 "About Math 405" }}{PARA 0 "" 0 " " {TEXT -1 179 "Mathematics 405, Calculus III , is taught every semest er. This worksheet was prepared for the Fall 2000 term. The text boo k in use was Calculus, 4th Edition, by James Stewart. " }}{PARA 0 "" 0 "" {TEXT -1 40 "Contact Dr. Barnes for more information." }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 59 "(c) Copyright 2000 Dr. George R. Barnes and Dr. Inessa Levi" }}{PARA 0 "" 0 "" {TEXT -1 308 "All Rights Reser ved. This work may not be translated or copied in whole or in part wi thout the written permission of the copyright holders, except for brie f excerpts in connection with scholarly analysis. Any use or modifica tion of this worksheet, in whole or part, must prominently display thi s copyright." }}{PARA 15 "" 0 "" {TEXT -1 199 "Permission is hereby gr anted to Dr. George R. Barnes and to Dr. Inessa Levi to make editorial modifications and to publish this worksheet and/or subsequent cours es taught by Dr. Barnes or Dr. Levi." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 16 "Revision History" }}{PARA 15 " " 0 "" {TEXT -1 19 "Created 12/07/00. " }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 17 "Lesson Objectives" }}{PARA 15 "" 0 "" {TEXT -1 31 "Math 4 05 Course Announcements: " }{URLLINK 17 "local" 4 "file:///c:/webshare /wwwroot/405/405a.html" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "htt p://www.math.louisville.edu/~grbarn01/405/405a.html" "" }{TEXT -1 115 " will open in a browser window. Syllabus, schedule, homework assignme nts are available from the Announcements Page." }}{PARA 15 "" 0 "" {TEXT -1 51 "Links to other Maple Resources for Calculus III: " } {HYPERLNK 17 "_405_MapleResources.mws" 1 "_405_MapleResources.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbar n01/405/maple/_405_MapleResources.mws" "" }{TEXT -1 3 ", " }{URLLINK 17 "Maple Directory Listing" 4 "www.math.louisville.edu/~grbarn01/405/ maple/" "" }{TEXT -1 2 " ." }}{PARA 15 "" 0 "" {TEXT -1 27 "Template f or new 405 topic " }{HYPERLNK 17 "_405S4_ccss_about.mws" 1 "_405S4_ccs s_about.mws" "" }{TEXT -1 4 " , " }{URLLINK 17 "Web" 4 "www.math.loui sville.edu/~grbarn01/405/maple/_405S3_ccss_about.mws" "" }{TEXT -1 3 " . " }}{PARA 15 "" 0 "" {TEXT -1 33 "Links to other Maple Resources \+ " }{HYPERLNK 17 "_MapleResources.mws" 1 "../../_MapleResources.mws" " " }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "http://www.math.louisville.e du/~grbarn01/ _MapleResources.mws" "" }{TEXT -1 119 " . When called, t he local _MapleResources.mws worksheet is presumed to be two director y levels up from this worksheet." }}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 19 "Required background" }}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 5 "Maple" }}{PARA 0 "" 0 "" {TEXT -1 234 "Ten hours of hands on instruction in M aple labs covering basic concepts in Maple to include expressions, use r defined functions, plotting (plot, with(plots)), solving equations ( fsolve), limits, derivatives (diff and D) and integrals." }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 11 "Mathematics" }}{PARA 0 "" 0 "" {TEXT -1 317 "Familiarity with theory and manipulation of functions, limits, de rivatives and integrals as covered in the 3 semesters of a calculus c ourse for mathematicians, scientists and engineers for 4 semester cred it hours meeting for 14 weeks. Prior or concurrent enrollment in a lin ear algebra course is strongly recommended" }}}}{SECT 1 {PARA 4 "" 0 " " {TEXT -1 13 "Lesson Topics" }}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 3 "Ne w" }}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 5 "Maple" }}}{SECT 1 {PARA 20 " " 0 "" {TEXT -1 4 "Math" }}}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 17 "Revi ewer Comments" }}}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 9 "Reinforce" }} {SECT 0 {PARA 20 "" 0 "" {TEXT -1 5 "Maple" }}}{SECT 0 {PARA 20 "" 0 " " {TEXT -1 4 "Math" }}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 17 "Reviewer \+ Comments" }}}}}}{PARA 256 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 22 "About This Worksheet: " }{TEXT 266 24 "_405_MapleRes ources.mws " }{TEXT 263 22 "Last revised 2/05/2004" }}{PARA 15 "" 0 " " {TEXT -1 94 "Save this file as _405_MapleResources.mws in the maple \+ directory (../math/405/maple/ ) of the " }{TEXT 262 10 "405 course" } {TEXT -1 44 " directory (../math/405/maple ) it accesses." }}{PARA 15 "" 0 "" {TEXT 256 118 "This is a collection of links to Maple Workshee ts for Differential Equations, Math 405 at the University of Louisvill e" }{TEXT -1 70 ". The most recent version of this file should be down loaded regularly." }}{PARA 15 "" 0 "" {TEXT 259 86 "Paste the followin g three bullets of links into worksheets to refer to this worksheet." }}{PARA 15 "" 0 "" {TEXT -1 53 "Links to Maple Resources for Different ial Equations " }{URLLINK 17 "_405_MapleResources.mws" 4 "www.math.lo uisville.edu/~grbarn01/405/maple/_405_MapleResources.mws" "" }{TEXT -1 3 ", " }{HYPERLNK 17 "local" 1 "_405_MapleResources.mws" "" } {TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn 01/405/maple/_405_MapleResources.mws" "" }{TEXT -1 20 ", .Revised 2/05 /2004" }}{PARA 15 "" 0 "" {TEXT -1 33 "Links to other Maple Resources \+ " }{HYPERLNK 17 "(local)_MapleResources.mws" 1 "../../_MapleResource s.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "http://www.math.loui sville.edu/~grbarn01/_MapleResources.mws" "" }{TEXT -1 3 " . " }{TEXT 260 24 "Last revised 12/28/2000." }{TEXT -1 119 " When called, the lo cal _MapleResources.mws worksheet is presumed to be two directory lev els up from this worksheet.." }}{PARA 15 "" 0 "" {TEXT -1 22 "Course A nnouncements: " }{URLLINK 17 "local" 4 "file:///c:/webshare/wwwroot/40 5/405a.html" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "http://www.mat h.louisville.edu/~grbarn01/405/405a.html" "" }{TEXT -1 32 " will open \+ in a browser window. " }}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 21 "Workshee t Assumptions" }}{PARA 258 "" 0 "" {TEXT 257 33 "Filename: _405_MapleR esources.mws" }}{PARA 0 "" 0 "" {TEXT -1 39 "Basic Assumptions about t his worksheet." }}{PARA 15 "" 0 "" {TEXT -1 144 "The local version of \+ this worksheet is located in the maple directory (../www/405/maple/ ) \+ of the course directories (../www/405/ ) it accesses." }}{PARA 15 "" 0 "" {TEXT -1 92 "Maple files are located in a maple subdirectory (../ www/405/maple/) of the course directory." }}{PARA 15 "" 0 "" {TEXT 258 86 "Paste the following three bullets of links into worksheets to \+ refer to this worksheet." }}{PARA 15 "" 0 "" {TEXT -1 22 "Course Annou ncements: " }{URLLINK 17 "local" 4 "file:///c:/webshare/wwwroot/405/40 5a.html" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "http://www.math.lo uisville.edu/~grbarn01/405/405a.html" "" }{TEXT -1 32 " will open in a browser window. " }}{PARA 15 "" 0 "" {TEXT -1 50 "Links to other Mapl e Resources for Calculus II: " }{HYPERLNK 17 "_405_MapleResources.mw s (local)" 1 "_405_MapleResources.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple/_405_MapleReso urces.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "Maple Directory Listing" 4 "www.math.louisville.edu/~grbarn01/405/maple/" "" }{TEXT -1 2 " ." } }{PARA 15 "" 0 "" {TEXT -1 33 "Links to other Maple Resources " } {HYPERLNK 17 "_MapleResources.mws" 1 "../../_MapleResources.mws" "" } {TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "http://www.math.louisville.edu/ ~grbarn01/_MapleResources.mws" "" }{TEXT -1 119 " . When called, the l ocal _MapleResources.mws worksheet is presumed to be two directory le vels up from this worksheet." }}{PARA 15 "" 0 "" {TEXT -1 107 "The wor ksheet was written for Maple V Release 5.1 and will be executed by tha t version of later releases. " }}{PARA 15 "" 0 "" {TEXT -1 123 "URL r eferences will not work in prior versions of Maple, but local hyperlin ks will work in version 5 (possibly 4) or later." }}{PARA 15 "" 0 "" {TEXT -1 26 "All URL's are absolute to " }{URLLINK 17 "www.math.louisv ille.edu/~grbarn01/" 4 "http://www.math.louisville.edu/~grbarn01/" "" }{TEXT -1 18 " as of (10/17/00)." }}{PARA 15 "" 0 "" {TEXT -1 368 "Whe n a worksheet is opened through its URL by a browser, it is renamed s tored locally in a temp directory and Maple is passed the local file a nd path name. The file should be immediately \"saved as\", with a file name the same as the original name in a directory structure like the \+ web site, otherwise local file references will not work from a URL af ter it is loaded." }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 27 "Recently R evised Worksheets" }}{PARA 15 "" 0 "" {URLLINK 17 "_405BD7_ccss_about. mws" 4 "www.math.louisville.edu/~grbarn01/405/maple/_405BD7_ccss_about .mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "_405BD7_ccss_about. mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.edu /~grbarn01/405/maple/_405BD7_ccss_about.mws" "" }{TEXT -1 74 " Updated 1/29/04 The URL points to the most recent version of this file. " }} {PARA 15 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 81 "The foll owing worksheets have been recently revised or are under current revie w. " }}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 11 "2004 Spring" }}{PARA 15 " " 0 "" {URLLINK 17 "405BD7_0601_LaplaceTransforms.mws" 4 "www.math.lou isville.edu/~grbarn01/405/maple/405BD7_0601_LaplaceTransforms.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405BD7_0601_LaplaceTransform s.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.e du/~grbarn01/405/maple/405BD7_0601_LaplaceTransforms.mws" "" }{TEXT -1 129 " Updated 3/24/04 Definition and basic properties of Laplace Tr ansforms. The URL points to the most recent version of this file. " } }{PARA 15 "" 0 "" {HYPERLNK 17 "405_LinearDifferentialOperators.mws" 1 "www.math.louisville.edu/~grbarn01/405/maple/405_LinearDifferentialO perators.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405_LinearD ifferentialOperators.mws" "" }{TEXT -1 3 ", " }{URLLINK 17 "URL" 4 "w ww.math.louisville.edu/~grbarn01/405/maple/405_LinearDifferentialOpera tors.mws" "" }{TEXT -1 129 " Updated 3/23/2004. How to construct diff erential operators in Maple. The URL points to the most recent versio n of this file. " }}{PARA 15 "" 0 "" {URLLINK 17 "405BD7_0302_2HOLDE. mws" 4 "www.math.louisville.edu/~grbarn01/405/maple/405BD7_0302_2HOLDE .mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405BD7_0302_2HOLDE. mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.edu /~grbarn01/405/maple/405BD7_0302_2HOLDE.mws" "" }{TEXT -1 1 " " } {TEXT 280 19 "Updated 3/23/04 . R" }{TEXT -1 82 "eview of Linear Algeb ra. The URL points to the most recent version of this file. " }} {PARA 261 "" 0 "" {URLLINK 17 "_MapleEssentials.mws" 4 "www.math.louis ville.edu/~grbarn01/405/maple/_MapleEssentials.mws" "" }{TEXT -1 2 ", \+ " }{HYPERLNK 17 "local" 1 "_MapleEssentials.mws" "" }{TEXT -1 2 ", " } {URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple/_Mapl eEssentials.mws" "" }{TEXT -1 109 ". 2/19/2004. Linear, separable, aut onomous and exact differental equations. Existence and Uniqueness Theo rem." }}{PARA 0 "" 0 "" {TEXT -1 20 "_MapleEssentials.mws" }}{PARA 261 "" 0 "" {URLLINK 17 "405t1i_04.1_Spring2004.mws" 4 "tests/405t1i_0 4.1_Spring2004.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "tests /405t1i_04.1_Spring2004.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "tests/405t1i_04.1_Spring2004.mws" "" }{TEXT -1 109 ". 2/19/2004. Line ar, separable, autonomous and exact differental equations. Existence a nd Uniqueness Theorem." }}{PARA 15 "" 0 "" {URLLINK 17 "405_0201X_Exer cises.mws" 4 "www.math.louisville.edu/~grbarn01/405/maple/405_0201X_Ex ercises.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405_0201X_Ex ercises.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisv ille.edu/~grbarn01/405/maple/405_0201X_Exercises.mws" "" }{TEXT -1 135 " Updated 2/18/04. Exercise 21 (direction fields, initial conditio n analysis). The URL points to the most recent version of this file. \+ " }}{PARA 261 "" 0 "" {URLLINK 17 "405BD7_0208_ExistenceAndUniquenessT hm.mws" 4 "www.math.louisville.edu/~grbarn01/405/maple/405BD7_0208_Exi stenceAndUniquenessThm.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405BD7_0208_ExistenceAndUniquenessThm.mws" "" }{TEXT -1 2 ", " } {URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple/405BD 7_0208_ExistenceAndUniquenessThm.mws" "" }{TEXT -1 1 " " }{TEXT 278 168 "Updated 2/10/2004 Issues related to Existence and Uniqueness of S olutions, Lipschitz Condition, counterexamples. The URL points to the most recent version of this file" }}{PARA 261 "" 0 "" {URLLINK 17 "40 5BD7_0203X12_VariableLoanPayoff_OH_040202.mws" 4 "www.math.louisville. edu/~grbarn01/405/maple/405BD7_0203X12_VariableLoanPayoff_OH_040202.mw s" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405BD7_0203X12_Variabl eLoanPayoff_OH_040202.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "w ww.math.louisville.edu/~grbarn01/405/maple/405BD7_0203X12_VariableLoan Payoff_OH_040202.mws" "" }{TEXT -1 1 " " }}{PARA 15 "" 0 "" {URLLINK 17 "405BD7_0203X31_VectorMotion.mws" 4 "www.math.louisville.edu/~grbar n01/405/maple/405BD7_0203X31_VectorMotion.mws" "" }{TEXT -1 2 ", " } {HYPERLNK 17 "local" 1 "405BD7_0203X31_VectorMotion.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/map le/405BD7_0203X31_VectorMotion.mws" "" }{TEXT -1 135 " Updated 2/02/04 . Exercises 31 and 32 on vector motion with and without drag. The URL \+ points to the most recent version of this file. " }}{PARA 15 "" 0 "" {URLLINK 17 "405BD7_0205_AutonomousDE.mws" 4 "www.math.louisville.edu/ ~grbarn01/405/maple/405BD7_0205_AutonomousDE.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405BD7_0205_AutonomousDE.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple /405BD7_0205_AutonomousDE.mws" "" }{TEXT -1 74 " Updated 1/29/04 The U RL points to the most recent version of this file. " }}{PARA 15 "" 0 "" {URLLINK 17 "405BD7_0204_LinearVsNonlinear.mws" 4 "www.math.louisvi lle.edu/~grbarn01/405/maple/405BD7_0204_LinearVsNonlinear.mws" "" } {TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405BD7_0204_LinearVsNonlinear .mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.ed u/~grbarn01/405/maple/405BD7_0204_LinearVsNonlinear.mws" "" }{TEXT -1 74 " Updated 1/28/04 The URL points to the most recent version of this file. " }}{PARA 15 "" 0 "" {URLLINK 17 "405BD7_0203_Modeling.mws" 4 "www.math.louisville.edu/~grbarn01/405/maple/405BD7_0203_Modeling.mws " "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405BD7_0203_Modeling.mw s" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~ grbarn01/405/maple/405BD7_0203_Modeling.mws" "" }{TEXT -1 85 " Updated 1/19/04. Modeling process, issues, model characteristics, Linear I/O \+ models." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 11 "2002 Summer" }}{PARA 15 "" 0 "" {URLLINK 17 "405CH_0512_M atrixExponential.mws" 4 "www.math.louisville.edu/~grbarn01/405/maple/4 05CH_0512_MatrixExponential.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "lo cal" 1 "405CH_0512_MatrixExponential.mws" "" }{TEXT -1 3 " , " } {URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple/405CH _0512_MatrixExponential.mws" "" }{TEXT -1 145 " Updated 7/11/02. The m atrix exponential from fundamental set of solutions to X' = AX. The U RL points to the most recent version of this file. " }}{PARA 15 "" 0 "" {URLLINK 17 "405t4h_Final_02U.mws " 4 "www.math.louisville.edu/~grb arn01/405/tests/405t4h_Final_02U.mws " "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "../tests/405t4h_Final_02U.mws " "" }{TEXT -1 2 ", " } {URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/tests/405t4 h_Final_02U.mws " "" }{TEXT -1 137 " Updated 7/08/02 Laplace transfor ms, systems, eigenvalues, matrix exponential. The URL points to the mo st recent version of this file. " }}{PARA 15 "" 0 "" {URLLINK 17 "405 t2h_Midterm_02_U.mws" 4 "www.math.louisville.edu/~grbarn01/405/tests/4 05t2h_Midterm_02_U.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "4 05t2h_Midterm_02_U.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www. math.louisville.edu/~grbarn01/405/tests/405t2h_Midterm_02_U.mws" "" } {TEXT -1 252 " Updated 6/18/02 Sample exam. Separation of variables, \+ first order linear by integrating factor, characteristic polynomials, \+ Euler equations, undetermined coefficients, variation of parameters. T he URL points to the most recent version of this file. " }}{PARA 15 " " 0 "" {TEXT -1 1 " " }{URLLINK 17 "AnnuityModels.mws" 4 "www.math.lou isville.edu/~grbarn01/maple/AnnuityModels.mws" "" }{TEXT -1 3 " , " } {HYPERLNK 17 "local" 1 "../../maple/AnnuityModels.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/maple/An nuityModels.mws" "" }{TEXT -1 1 " " }{TEXT 271 20 "last revised 6/26/0 2" }{TEXT -1 154 ". Various Annuity Models and graphs. The URL points \+ to the most recent version of this file. Not course specific, located in the general Maple directory." }}{PARA 15 "" 0 "" {TEXT 272 51 "1.1 Introduction to Ordinary Differential Equations" }{TEXT -1 2 " " } {URLLINK 17 "405Co_0501_DE_Solutions.mws " 4 "www.math.louisville.edu/ ~grbarn01/405/maple/405Co_0501_DE_Solutions.mws" "" }{TEXT -1 3 ", " }{HYPERLNK 17 "local" 1 "405Co_0501_DE_Solutions.mws" "" }{TEXT -1 2 " , " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple/ 405Co_0501_DE_Solutions.mws" "" }{TEXT -1 254 " Updated 6/25/02.. Use dsolve to find solutions, subs to verify, unapply to create solution \+ functions, plot to graph solutions. The EUT (Existence and Uniqueness \+ Theorem). Stability of solutions. The URL points to the most recent ve rsion of this file. " }}{PARA 15 "" 0 "" {HYPERLNK 17 "405_LinearDiff erentialOperators.mws" 1 "www.math.louisville.edu/~grbarn01/405/maple/ 405_LinearDifferentialOperators.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405_LinearDifferentialOperators.mws" "" }{TEXT -1 3 ", \+ " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple/40 5_LinearDifferentialOperators.mws" "" }{TEXT -1 136 " Updated 5/07/200 2,16:30p. How to construct differential operators in Maple. The URL \+ points to the most recent version of this file. " }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 11 "2001 Spring" }}{PARA 15 "" 0 "" {HYPERLNK 17 "405 _LinearDifferentialOperators.mws" 1 "www.math.louisville.edu/~grbarn01 /405/maple/405_LinearDifferentialOperators.mws" "" }{TEXT -1 2 ", " } {HYPERLNK 17 "local" 1 "405_LinearDifferentialOperators.mws" "" } {TEXT -1 3 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn 01/405/maple/405_LinearDifferentialOperators.mws" "" }{TEXT -1 136 " U pdated 5/09/2001,16:30p. How to construct differential operators in M aple. The URL points to the most recent version of this file. " }} {PARA 15 "" 0 "" {URLLINK 17 "405BD7_0701_Systems.mws" 4 "www.math.lou isville.edu/~grbarn01/405/maple/405BD7_0701_Systems.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405BD7_0701_Systems.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/map le/_405BD7_ccss_about.mws" "" }{TEXT -1 87 " Updated 4/17/01 11:32:11 \+ PM The URL points to the most recent version of this file. " }} {PARA 15 "" 0 "" {URLLINK 17 "405BD7_0502_SeriesSolutions.mws" 4 "www. math.louisville.edu/~grbarn01/405/maple/405BD7_0502_SeriesSolutions.mw s" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405BD7_0502_SeriesSolu tions.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisvil le.edu/~grbarn01/405/maple/405BD7_0502_SeriesSolutions.mws" "" }{TEXT -1 88 " Updated 4/17/01 11:32:11 PM. The URL points to the most recen t version of this file. " }}{PARA 15 "" 0 "" {HYPERLNK 17 "405BD7_050 1_PowerSeriesReview.mws" 1 "405BD7_0501_PowerSeriesReview.mws" "" } {TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn 01/405/maple/405BD7_0501_PowerSeriesReview.mws" "" }{TEXT -1 86 " Upda ted 4/4/01 8:46:04 AM. The URL points to the most recent version of t his file. " }}{PARA 15 "" 0 "" {HYPERLNK 17 "405BD7_0404_VariationOfP arameters.mws" 1 "405BD7_0404_VariationOfParameters.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/ma ple/405BD7_0404_VariationOfParameters.mws" "" }{TEXT -1 89 " Updated 3 /25/01 12:03:12 AM . The URL points to the most recent version of thi s file. " }}{PARA 15 "" 0 "" {HYPERLNK 17 "405BD7_0403_UndeterminedCo efficients.mws" 1 "405BD7_0403_UndeterminedCoefficients.mws" "" } {TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn 01/405/maple/405BD7_0403_UndeterminedCoefficients.mws" "" }{TEXT -1 85 " Updated 3/20/01 9:09:29 PM. The URL points to the most recent ve rsion of this file." }}{PARA 15 "" 0 "" {HYPERLNK 17 "405CH_0501_DE_So lutions.mws (local) " 1 "405CH_0501_DE_Solutions.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple /405CH_0501_DE_Solutions.mws" "" }{TEXT -1 259 " Updated 2000.12.18.21 00. Use dsolve to find solutions, subs to verify, unapply to create so lution functions, plot to graph solutions. The EUT (Existence and Uniq ueness Theorem). Stability of solutions. The URL points to the most re cent version of this file. " }}{PARA 15 "" 0 "" {URLLINK 17 "405BD7_03 02_2HOLDE.mws" 4 "www.math.louisville.edu/~grbarn01/405/maple/405BD7_0 302_2HOLDE.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405BD7_03 02_2HOLDE.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.loui sville.edu/~grbarn01/405/maple/405BD7_0302_2HOLDE.mws" "" }{TEXT -1 113 " Updated 2/19/01 9:16:34 AM. Review of Linear Algebra. The URL p oints to the most recent version of this file. " }}{PARA 15 "" 0 "" {URLLINK 17 "405BD7_0201_LinearDE.mws" 4 "www.math.louisville.edu/~grb arn01/405/maple/405BD7_0201_LinearDE.mws" "" }{TEXT -1 2 ", " } {HYPERLNK 17 "local" 1 "405BD7_0201_LinearDE.mws" "" }{TEXT -1 3 " , \+ " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple/40 5BD7_0201_LinearDE.mws" "" }{TEXT -1 137 " Updated 2/16/01 10:45:40 PM . Discussion of issues and characteristics, dsolve. The URL points to \+ the most recent version of this file. " }}{PARA 15 "" 0 "" {HYPERLNK 17 "M405-1-1_Duncan.mws" 1 "students/M405-1-1_Duncan.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/ maple/students/M405-1-1_Duncan.mws" "" }{TEXT -1 118 " . Updated 1/29 /01, authored by R. Duncan. Exercises from section 1.1 of Boyce and Di Prima 7th ed. Direction fields " }}{PARA 15 "" 0 "" {HYPERLNK 17 "M40 5-1-2_Duncan.mws" 1 "students/M405-1-2_Duncan.mws" "" }{TEXT -1 2 ", \+ " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple/st udents/M405-1-2_Duncan.mws" "" }{TEXT -1 99 " . Updated 1/29/01, auth ored by R. Duncan. Exercises from section 1.2 of Boyce and DiPrima 7th ed." }}{PARA 15 "" 0 "" {HYPERLNK 17 "M405-1-3_Duncan.mws" 1 "student s/M405-1-3_Duncan.mws" "" }{TEXT -1 3 ", " }{URLLINK 17 "URL" 4 "www. math.louisville.edu/~grbarn01/405/maple/students/M405-1-3_Duncan.mws" "" }{TEXT -1 99 " . Updated 1/29/01, authored by R. Duncan. Exercises from section 1.3 of Boyce and DiPrima 7th ed." }}{PARA 15 "" 0 "" {HYPERLNK 17 "405BD7_0101_Models.mws" 1 "405BD7_0101_Models.mws" "" } {TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn 01/405/maple/405BD7_0101_Models.mws" "" }{TEXT -1 43 " Updated 01/05/2 001 8:30p. Models and the " }{TEXT 267 10 "dfieldplot" }{TEXT -1 68 " command. The URL points to the most recent version of this file. ." }}{PARA 15 "" 0 "" {HYPERLNK 17 "405t1g_01_S.mws" 1 "405t1g_01_S.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~gr barn01/405/tests/405t1g_01_S.mws" "" }{TEXT -1 87 " Updated 2/22/01 3: 29:11 PM. The URL points to the most recent version of this file. " }}{PARA 15 "" 0 "" {HYPERLNK 17 "405t2f_01_S.mws" 1 "405t2f_01_S.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~gr barn01/405/tests/405t2f_01_S.mws" "" }{TEXT -1 86 " Updated 2/25/01 8: 26:43 PM. The URL points to the most recent version of this file. " } }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 43 "Maple Worksheets for Text Sect ions/Lectures" }}{PARA 0 "" 0 "" {TEXT -1 48 "The following links are \+ url's for Maple V 5.1 " }{URLLINK 17 "local listing" 4 "file://c:/we bshare/wwwroot/405/maple" "" }{TEXT -1 2 " " }}{SECT 1 {PARA 3 "" 0 " " {TEXT -1 21 "Campbell and Haberman" }}{PARA 15 "" 0 "" {TEXT -1 27 " Template for new 405 topic " }{HYPERLNK 17 "_405_ccss_about.mws" 1 "_4 05_ccss_about.mws" "" }{TEXT -1 4 " , " }{URLLINK 17 "URL" 4 "www.mat h.louisville.edu/~grbarn01/405/maple/_405_ccss_about.mws" "" }{TEXT -1 3 " . " }}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 61 "1 First Order Diff erential Equations and Their Applications" }}{PARA 15 "" 0 "" {TEXT 270 51 "1.1 Introduction to Ordinary Differential Equations" }{TEXT -1 2 " " }{URLLINK 17 "405Co_0501_DE_Solutions.mws " 4 "www.math.loui sville.edu/~grbarn01/405/maple/405Co_0501_DE_Solutions.mws" "" }{TEXT -1 3 ", " }{HYPERLNK 17 "local" 1 "405Co_0501_DE_Solutions.mws" "" } {TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn0 1/405/maple/405Co_0501_DE_Solutions.mws" "" }{TEXT -1 254 " Updated 6 /25/02.. Use dsolve to find solutions, subs to verify, unapply to crea te solution functions, plot to graph solutions. The EUT (Existence and Uniqueness Theorem). Stability of solutions. The URL points to the mo st recent version of this file. " }}{PARA 260 "" 0 "" {TEXT -1 54 "11 .2 Definite Integral and the Initial Value Problem 6" }}{PARA 260 "" 0 "" {TEXT -1 50 "1.3 First-OrderSeparable Differential Equations 14" }}{PARA 260 "" 0 "" {TEXT -1 23 "1.4 Direction Fields 19" }}{PARA 15 " " 0 "" {TEXT 269 31 "1.5 Existence and Uniqueness 28" }{TEXT -1 3 ". \+ " }{URLLINK 17 "405Co_0501_DE_Solutions.mws " 4 "www.math.louisville.e du/~grbarn01/405/maple/405Co_0501_DE_Solutions.mws" "" }{TEXT -1 3 ", \+ " }{HYPERLNK 17 "local" 1 "405Co_0501_DE_Solutions.mws" "Existence an d Uniqueness Theorem" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math. louisville.edu/~grbarn01/405/maple/405Co_0501_DE_Solutions.mws" "" } {TEXT -1 254 " Updated 6/25/02.. Use dsolve to find solutions, subs t o verify, unapply to create solution functions, plot to graph solution s. The EUT (Existence and Uniqueness Theorem). Stability of solutions. The URL points to the most recent version of this file. " }}{PARA 260 "" 0 "" {TEXT -1 48 "1.6 First-Order Linear Differential Equations 33" }}{PARA 260 "" 0 "" {TEXT -1 94 "1.7 Linear First-Order Different ial Equations with Constant Coefficients and Constant Input 44" }} {PARA 260 "" 0 "" {TEXT -1 32 "1.8 Growth and Decay Problems 52" }} {PARA 260 "" 0 "" {TEXT -1 23 "1.9 Mixture Problems 66" }}{PARA 260 " " 0 "" {TEXT -1 27 "1.10 Electronic Circuits 74" }}{PARA 260 "" 0 "" {TEXT -1 147 "1.11 Mechanics II: Including Air Resistance 801.12 Ortho gonal Trajectories 841.13 Exact Equations 871.14 Integrating Factors f or Exact Equations 93" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 49 "2 Lin ear Higher Order Differential Equations 98" }}{PARA 260 "" 0 "" {TEXT -1 36 "2.1 Introduction and Basic Theory 98" }}{PARA 260 "" 0 "" {TEXT -1 70 "2.2 General Solution of Second-Order Linear Differential \+ Equations 102" }}{PARA 260 "" 0 "" {TEXT -1 58 "2.3 Initial Values, Wr onskian, and Linear Independence 110" }}{PARA 260 "" 0 "" {TEXT -1 47 "2.4 Nth-Order Linear Differential Equations 121" }}{PARA 260 "" 0 "" {TEXT -1 26 "2.5 Reduction of Order 128" }}{PARA 260 "" 0 "" {TEXT -1 85 "2.6 Homogeneous Linear Constant Coefficient Differential Equations (Second-Order) 133" }}{PARA 260 "" 0 "" {TEXT -1 82 "2.7 Homogeneous \+ Linear Constant Coefficient Differential Equations (nth-Order) 142" }} {PARA 260 "" 0 "" {TEXT -1 62 "2.8 Mechanical Vibrations I: Formulatio n and Free Response 146" }}{PARA 260 "" 0 "" {TEXT -1 47 "2.9 The Meth od of Undetermined Coefficients 163" }}{PARA 260 "" 0 "" {TEXT -1 53 " 2.10 Undetermined Coefficients Using Annihilators 181" }}{PARA 260 "" 0 "" {TEXT -1 50 "2.11 Mechanical Vibrations II: Forced Response 186" }}{PARA 260 "" 0 "" {TEXT -1 33 "2.12 Linear Electric Circuits 203" }} {PARA 260 "" 0 "" {TEXT -1 23 "2.13 Euler Equation 209" }}{PARA 260 " " 0 "" {TEXT -1 47 "2.14 Variation of Parameters (Second-Order) 215" } }{PARA 260 "" 0 "" {TEXT -1 44 "2.15 Variation of Parameters (nth-Orde r) 223" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 29 "3 The Laplace Transf orm 227" }}{PARA 260 "" 0 "" {TEXT -1 39 "3.1 Definition and Basic Pro perties 227" }}{PARA 260 "" 0 "" {TEXT -1 77 "3.2 Inverse Laplace Tran sforms (Roots, Quadratics, and Partial Fractions) 242" }}{PARA 260 "" 0 "" {TEXT -1 56 "3.3 Initial Value Problem for Differential Equations 254" }}{PARA 260 "" 0 "" {TEXT -1 39 "3.4 Discontinuous Forcing Funct ions 263" }}{PARA 260 "" 0 "" {TEXT -1 26 "3.5 Periodic Functions 275 " }}{PARA 260 "" 0 "" {TEXT -1 45 "3.6 Integrals and the Convolution T heorem 280" }}{PARA 260 "" 0 "" {TEXT -1 34 "3.7 Impulses and Distribu tions 286" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 66 "4 Variable Coeffi cient Linear Equations and Series Solutions 290" }}{PARA 260 "" 0 "" {TEXT -1 55 "4.1 Introduction to Ordinary Differential Equations 290" }}{PARA 260 "" 0 "" {TEXT -1 30 "4.2 Review of Power Series 291" }} {PARA 260 "" 0 "" {TEXT -1 46 "4.3 Solution at an Ordinary Point (Theo ry) 301" }}{PARA 260 "" 0 "" {TEXT -1 60 "4.4 Solution at an Ordinary \+ Point (Taylor-Series Method) 306" }}{PARA 260 "" 0 "" {TEXT -1 72 "4.5 Series Solution at an Ordinary Point (Undetermined Coefficients) 311 " }}{PARA 260 "" 0 "" {TEXT -1 65 "4.6 Approximate Solution at a Regul ar Singular Point (Theory) 320" }}{PARA 260 "" 0 "" {TEXT -1 73 "4.7 S eries Solution at a Regular Singular Point (Method of Frobenius) 327" }}{PARA 260 "" 0 "" {TEXT -1 24 "4.8 Bessel Functions 340" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 48 "5 Linear Systems of Differential Equati ons 349" }}{PARA 260 "" 0 "" {TEXT -1 20 "5.1 Introduction 349" }} {PARA 260 "" 0 "" {TEXT -1 27 "5.2 Elimination Methods 359" }}{PARA 260 "" 0 "" {TEXT -1 37 "5.3 Solution by Laplace Transform 367" }} {PARA 260 "" 0 "" {TEXT -1 23 "5.4 Mixing Problems 370" }}{PARA 260 " " 0 "" {TEXT -1 26 "5.5 Mechanical Systems 380" }}{PARA 260 "" 0 "" {TEXT -1 26 "5.6 Multiloop Circuits 389" }}{PARA 260 "" 0 "" {TEXT -1 28 "5.7 Matrices and Vectors 392" }}{PARA 260 "" 0 "" {TEXT -1 44 "5.8 Determinants and Linear Independence 409" }}{PARA 260 "" 0 "" {TEXT -1 44 "5.9 Differential Equations: Basic Theory 416" }}{PARA 260 "" 0 "" {TEXT -1 101 "5.10 Homogeneous Systems of Differential Equations, w ith Constant Coefficients Using Eigenvectors 423" }}{PARA 260 "" 0 "" {TEXT -1 59 "5.11 Nonhomogeneous Systems (Undetermined Coefficients) 4 50" }}{PARA 260 "" 0 "" {TEXT -1 6 "5.12 " }{URLLINK 17 "405CH_0512_M atrixExponential.mws" 4 "www.math.louisville.edu/~grbarn01/405/maple/4 05CH_0512_MatrixExponential.mws" "" }{TEXT 273 2 ", " }{HYPERLNK 17 "l ocal" 1 "405CH_0512_MatrixExponential.mws" "" }{TEXT 274 3 " , " } {URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple/405CH _0512_MatrixExponential.mws" "" }{TEXT 275 145 " Updated 7/10/02. The \+ matrix exponential from fundamental set of solutions to X' = AX. The \+ URL points to the most recent version of this file. " }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 25 "6 Numerical Methods 470" }}{PARA 0 "" 0 "" {TEXT -1 20 "6.1 Introduction 470" }}{PARA 0 "" 0 "" {TEXT -1 22 "6.2 Euler's Method 473" }}{PARA 0 "" 0 "" {TEXT -1 48 "6.3 An Analysi s of Euler's Method (Optional) 479" }}{PARA 0 "" 0 "" {TEXT -1 28 "6.4 Second-Order Methods 488" }}{PARA 0 "" 0 "" {TEXT -1 33 "6.5 Fourth-O rder Runge- Kutta 493" }}{PARA 0 "" 0 "" {TEXT -1 25 "6.6 Multistep Me thods 495" }}{PARA 0 "" 0 "" {TEXT -1 15 "6.7 Systems 498" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 59 "7 Mostly nonlinear First Order Differen tial Equations 503" }}{PARA 0 "" 0 "" {TEXT -1 42 "7.1 First-Order Dif ferential Equations 503" }}{PARA 0 "" 0 "" {TEXT -1 49 "7.2 Autonomous Equations and Their Equilibria 504" }}{PARA 0 "" 0 "" {TEXT -1 47 "7. 3 Stability and Linear Stability Analysis 506" }}{PARA 0 "" 0 "" {TEXT -1 39 "7.4 One-Dimensional Phase Portraits 510" }}{PARA 0 "" 0 " " {TEXT -1 65 "7.5 Application to Population Dynamics: The Logistic Eq uation 515" }}{PARA 0 "" 0 "" {TEXT -1 37 "7.6 Application to Circuit \+ Theory 519" }}{PARA 0 "" 0 "" {TEXT -1 41 "7.7 Application to Chemical Reactions 522" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 34 "8 Discrete D ynamical Systems 526" }}{PARA 0 "" 0 "" {TEXT -1 20 "8.1 Introduction \+ 526" }}{PARA 0 "" 0 "" {TEXT -1 47 "8.2 First-Order Linear Difference \+ Equations 529" }}{PARA 0 "" 0 "" {TEXT -1 68 "8.3 First-Order Autonomo us Mostly Nonlinear Difference Equations 534" }}{PARA 0 "" 0 "" {TEXT -1 71 "8.4 Quadratic Map and Period Doubling Bifurcation Sequence to C haos 543" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 77 "9 Qualitative Anal ysis of Nonlinear Differential Equations in the Plane 557" }}{PARA 0 " " 0 "" {TEXT -1 20 "9.1 Introduction 557" }}{PARA 0 "" 0 "" {TEXT -1 23 "9.2 The Phase Plane 559" }}{PARA 0 "" 0 "" {TEXT -1 22 "9.3 Linear Systems 564" }}{PARA 0 "" 0 "" {TEXT -1 39 "9.4 Equilibria of Nonline ar Systems 568" }}{PARA 0 "" 0 "" {TEXT -1 26 "9.5 Periodic Solutions \+ 574" }}{PARA 0 "" 0 "" {TEXT -1 25 "9.6 Population Models 577" }} {PARA 0 "" 0 "" {TEXT -1 26 "9.7 Nonlinear Circuits 585" }}{PARA 0 "" 0 "" {TEXT -1 26 "9.8 Mechanical Systems 589" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 23 "10 Fourier Series 593" }}{PARA 0 "" 0 "" {TEXT -1 29 "10.1 Orthogonal Functions 593" }}{PARA 0 "" 0 "" {TEXT -1 23 "10.2 Fourier Series 602" }}{PARA 0 "" 0 "" {TEXT -1 30 "10.3 Half-Range Ex pansions 611" }}{PARA 0 "" 0 "" {TEXT -1 46 "10.4 Application to Initi al Value Problems 616" }}{PARA 0 "" 0 "" {TEXT -1 41 "10.5 Regular Stu rm-Liouville Problems 622" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 39 "11 \+ Partial Differential Equations 628" }}{PARA 0 "" 0 "" {TEXT -1 21 "1 1.1 Introduction 628" }}{PARA 0 "" 0 "" {TEXT -1 49 "11.2 One-Dimensio nal Diffusion of a Pollutant 629" }}{PARA 0 "" 0 "" {TEXT -1 27 "11.3 \+ Laplace's Equation 645" }}{PARA 0 "" 0 "" {TEXT -1 22 "11.4 Wave Equat ion 654" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 39 "Appendix A Existence \+ and Uniqueness 666" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 35 "Solutions \+ to Selected Exercises 672" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 9 "Inde x 731" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 22 "Coombes, Hunt et. al. " }{TEXT 261 48 "Differential Equat ions with Maple Second Edition" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 19 "2. Getting Started" }}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 7 "Windows" }}}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 3 "Mac" }}}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 4 "Unix" }}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 "X-windows " }}}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 13 "Text Versions" }}}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 32 "3. Doing Mathematics with Maple" }}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 26 "4. Using Maple Worksheets" }}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 40 "5. Solutions of Differential Equ ations " }}{PARA 15 "" 0 "" {TEXT -1 1 " " }{URLLINK 17 "405Co_0501_DE _Solutions.mws " 4 "www.math.louisville.edu/~grbarn01/405/maple/405Co_ 0501_DE_Solutions.mws" "" }{TEXT -1 3 ", " }{HYPERLNK 17 "local" 1 "4 05Co_0501_DE_Solutions.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 " www.math.louisville.edu/~grbarn01/405/maple/405Co_0501_DE_Solutions.mw s" "" }{TEXT -1 254 " Updated 6/25/02.. Use dsolve to find solutions, subs to verify, unapply to create solution functions, plot to graph s olutions. The EUT (Existence and Uniqueness Theorem). Stability of sol utions. The URL points to the most recent version of this file. " }}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 52 "6. A Qualitative Approach to Dif ferential Equations" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 21 "7. Numer ical Methods" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 23 "8. Features of \+ Maple (" }{TEXT 268 27 "a continuation of Chapter 3" }{TEXT -1 1 ")" } }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 55 "9. Qualitative Theory of Secon d Order Linear Equations" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 20 "10. \+ Series Solutions" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 22 "11. LaPlace \+ Transforms" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 63 "12. Higer Order Eq uations and Systems of Differential Equations" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 60 "13. Qualitative Theory for Systems of Differential E quations" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 17 "Boyce and DiPrima" }}{PARA 0 "" 0 "" {TEXT -1 257 "Elementary Differential Equations and \+ Boundary Value Problems, 7th Edition ISBN: 0-471-31999-6\nWilliam E. B oyce (Edward P. Hamilton Professor Emeritus), Richard C. DiPrima (Ren sselaer Polytechnic Institute)\n \+ " }}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 15 " Introduction" } }{PARA 15 "" 0 "" {HYPERLNK 17 "405BD7_0101_Models.mws" 1 "405BD7_0101 _Models.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.math.louis ville.edu/~grbarn01/405/maple/405BD7_0101_Models.mws" "" }{TEXT -1 1 " " }{TEXT 265 24 "Updated 01/05/2001 8:30p" }{TEXT -1 18 ". Models an d the " }{TEXT 264 10 "dfieldplot" }{TEXT -1 67 " command. The URL poi nts to the most recent version of this file. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 38 " First Order D ifferential Equations." }}{PARA 15 "" 0 "" {HYPERLNK 17 "405BD7_0201_L inearDE.mws" 1 "405BD7_0201_LinearDE.mws" "" }{TEXT -1 3 " , " } {URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple/405BD 7_0201_LinearDE.mws" "" }{TEXT -1 84 " Updated 2000.12.28.1500. The U RL points to the most recent version of this file. " }}{PARA 15 "" 0 "" {TEXT -1 19 "Separable Equations" }}{PARA 15 "" 0 "" {TEXT 277 39 " 2.3 Modeling with First order equations" }}{PARA 15 "" 0 "" {URLLINK 17 "405BD7_0203_Modeling.mws" 4 "www.math.louisville.edu/~grbarn01/405 /maple/405BD7_0203_Modeling.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "lo cal" 1 "405BD7_0203_Modeling.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "UR L" 4 "www.math.louisville.edu/~grbarn01/405/maple/405BD7_0203_Modeling .mws" "" }{TEXT -1 85 " Updated 1/19/04. Modeling process, issues, mod el characteristics, Linear I/O models." }}{PARA 15 "" 0 "" {URLLINK 17 "405BD7_0203X31_VectorMotion.mws" 4 "www.math.louisville.edu/~grbar n01/405/maple/405BD7_0203X31_VectorMotion.mws" "" }{TEXT -1 2 ", " } {HYPERLNK 17 "local" 1 "405BD7_0203X31_VectorMotion.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/map le/405BD7_0203X31_VectorMotion.mws" "" }{TEXT -1 135 " Updated 2/02/04 . Exercises 31 and 32 on vector motion with and without drag. The URL \+ points to the most recent version of this file. " }}{PARA 15 "" 0 "" {TEXT 276 50 "2.4 Linear vs Nonlinear: Existence and Uniqueness" } {TEXT -1 1 "\n" }{URLLINK 17 "405BD7_0204_LinearVsNonlinear.mws" 4 "ww w.math.louisville.edu/~grbarn01/405/maple/405BD7_0204_LinearVsNonlinea r.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405BD7_0204_Linear VsNonlinear.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.lo uisville.edu/~grbarn01/405/maple/405BD7_0204_LinearVsNonlinear.mws" " " }{TEXT -1 74 " Updated 1/28/04 The URL points to the most recent ver sion of this file. " }}{PARA 15 "" 0 "" {TEXT -1 48 "2.5 Autonomous E quations and Population dynamics" }}{PARA 15 "" 0 "" {URLLINK 17 "405B D7_0205_AutonomousDE.mws" 4 "www.math.louisville.edu/~grbarn01/405/map le/405BD7_0205_AutonomousDE.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "lo cal" 1 "405BD7_0205_AutonomousDE.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple/405BD7_0205_Au tonomousDE.mws" "" }{TEXT -1 74 " Updated 1/29/04 The URL points to th e most recent version of this file. " }}{PARA 15 "" 0 "" {TEXT -1 19 "2.6 Exact Equations" }}{PARA 15 "" 0 "" {TEXT -1 29 "2.7 Numerical so lutions/Maple" }}{PARA 15 "" 0 "" {TEXT -1 43 "2.8 Existence and Uniqu eness Theorem: Proof" }}{PARA 261 "" 0 "" {URLLINK 17 "405BD7_0208_Exi stenceAndUniquenessThm.mws" 4 "www.math.louisville.edu/~grbarn01/405/m aple/405BD7_0208_ExistenceAndUniquenessThm.mws" "" }{TEXT -1 2 ", " } {HYPERLNK 17 "local" 1 "405BD7_0208_ExistenceAndUniquenessThm.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn 01/405/maple/405BD7_0208_ExistenceAndUniquenessThm.mws" "" }{TEXT -1 1 " " }{TEXT 279 168 "Updated 2/10/2004 Issues related to Existence an d Uniqueness of Solutions, Lipschitz Condition, counterexamples. The \+ URL points to the most recent version of this file" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 33 " Second Order \+ Linear Equations." }}{PARA 15 "" 0 "" {URLLINK 17 "405BD7_0302_2HOLDE. mws" 4 "www.math.louisville.edu/~grbarn01/405/maple/405BD7_0302_2HOLDE .mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "405BD7_0302_2HOLDE. mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.edu /~grbarn01/405/maple/405BD7_0302_2HOLDE.mws" "" }{TEXT -1 113 " Update d 2/19/01 9:16:34 AM. Review of Linear Algebra. The URL points to the most recent version of this file. " }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 33 " Higher Order Linear Equations." }}{PARA 15 "" 0 "" {HYPERLNK 17 "405BD7_0403_UndeterminedCoefficients.mws" 1 "405BD7_0403 _UndeterminedCoefficients.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL " 4 "www.math.louisville.edu/~grbarn01/405/maple/405BD7_0403_Undetermi nedCoefficients.mws" "" }{TEXT -1 87 " Updated 3/20/01 9:09:29 PM. Th e URL points to the most recent version of this file. " }}{PARA 15 " " 0 "" {HYPERLNK 17 "405BD7_0404_VariationOfParameters.mws" 1 "405BD7_ 0404_VariationOfParameters.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL " 4 "www.math.louisville.edu/~grbarn01/405/maple/405BD7_0404_Variation OfParameters.mws" "" }{TEXT -1 89 " Updated 3/25/01 12:03:12 AM . The URL points to the most recent version of this file. " }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 53 " Series Solutions of Second Order Linea r Equations." }}{PARA 15 "" 0 "" {HYPERLNK 17 "405BD7_0501_PowerSeries Review.mws" 1 "405BD7_0501_PowerSeriesReview.mws" "" }{TEXT -1 3 " , \+ " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple/40 5BD7_0501_PowerSeriesReview.mws" "" }{TEXT -1 86 " Updated 4/4/01 8:46 :04 AM. The URL points to the most recent version of this file. " }} {PARA 15 "" 0 "" {HYPERLNK 17 "405BD7_0502_SeriesSolutions.mws" 1 "405 BD7_0502_SeriesSolutions.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/maple/_405BD7_ccss_about.mws " "" }{TEXT -1 88 " Updated 4/11/01 12:03:57 AM. The URL points to th e most recent version of this file. " }}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 25 " The Laplace Transform." }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 21 " Numerical Methods." }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 50 " Nonlinear Differential Equations and Stability." }}}{PARA 0 "" 0 "" {TEXT -1 133 " Partial Differential Equations and Fourier Se ries.\n Boundary Value Problems and Sturm-Liouville Theory.\n Answ ers to Problems.\n" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 30 "Maple Worksheets for each week" }}{PARA 15 "" 0 "" {TEXT -1 1 " " }{HYPERLNK 17 "Lab 1.mws local" 1 "301lab01_00_s_V ectorOperations.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.ma th.louisville.edu/~grbarn01/405/maple/405lab01_00_s_VectorOperations.m ws" "" }{TEXT -1 190 " New feature in Maple V.5, Maple data structure s (sequence,list, set, array,vector,matrices,tables), vector operation s using the linalg library (evalm, norm, innerprod, crossprod, angle,. .," }}{PARA 15 "" 0 "" {HYPERLNK 17 "405_LinearDifferentialOperators.m ws" 1 "405_LinearDifferentialOperators.mws" "" }{TEXT -1 6 ", URL " }} {PARA 15 "" 0 "" {HYPERLNK 17 "405_Laplace.mws" 1 "405_Laplace.mws" " " }{TEXT -1 13 ", local, URL " }}{PARA 15 "" 0 "" {HYPERLNK 17 "405_Se ries.mws" 1 "405_Series.mws" "" }{TEXT -1 13 ", local, URL " }}{PARA 15 "" 0 "" {HYPERLNK 17 "405_Systems.mws" 1 "405_Systems.mws" "" } {TEXT -1 12 ", local, URL" }}{PARA 15 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 5 "Tests" }}{PARA 0 "" 0 "" {TEXT -1 37 "Br owse a listing of all test files. " }{URLLINK 17 "URL" 4 "www.math.lo uisville.edu/~grbarn01/405/tests/" "" }{TEXT -1 1 "." }}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 11 "Summer 2002" }}{PARA 15 "" 0 "" {URLLINK 17 "40 5t2h_Midterm_02_U.mws" 4 "www.math.louisville.edu/~grbarn01/405/tests/ 405t2h_Midterm_02_U.mws" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 " ../tests/405t2h_Midterm_02_U.mws" "" }{TEXT -1 2 ", " }{URLLINK 17 "UR L" 4 "www.math.louisville.edu/~grbarn01/405/tests/405t2h_Midterm_02_U. mws" "" }{TEXT -1 252 " Updated 6/18/02 Sample exam. Separation of va riables, first order linear by integrating factor, characteristic poly nomials, Euler equations, undetermined coefficients, variation of para meters. The URL points to the most recent version of this file. " }} {PARA 15 "" 0 "" {URLLINK 17 "405t4h_Final_02U.mws " 4 "www.math.louis ville.edu/~grbarn01/405/tests/405t4h_Final_02U.mws " "" }{TEXT -1 2 ", " }{HYPERLNK 17 "local" 1 "../tests/405t4h_Final_02U.mws " "" }{TEXT -1 2 ", " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/ tests/405t4h_Final_02U.mws " "" }{TEXT -1 137 " Updated 7/08/02 Lapla ce transforms, systems, eigenvalues, matrix exponential. The URL point s to the most recent version of this file. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 11 "Spring 2001" }}{PARA 15 "" 0 "" {TEXT -1 7 "Test 1 " }{HYPERLNK 17 "local" 1 "../tests/405t 1g_01_S.mws" "" }{TEXT -1 6 " .mws " }{URLLINK 17 "URL" 4 "www.math.lo uisville.edu/~grbarn01/405/tests/405t1g_01_S.mws" "" }{TEXT -1 27 ", \+ .RTF, .HTML, .TEXT, .Tex" }}{PARA 15 "" 0 "" {TEXT -1 7 "Test 2 " } {HYPERLNK 17 "local" 1 "../tests/405t2f_01_S.mws" "" }{TEXT -1 6 " .mw s " }{URLLINK 17 "URL" 4 "www.math.louisville.edu/~grbarn01/405/tests/ 405t2f_01_S.mws" "" }{TEXT -1 27 ", .RTF, .HTML, .TEXT, .Tex" }} {PARA 15 "" 0 "" {TEXT -1 7 "Test 3 " }{HYPERLNK 17 "local" 1 "../test s/405t3f_01_S.mws" "" }{TEXT -1 18 " .mws URL, .RTF, " }{URLLINK 17 " .HTML" 4 "file///:..\\tests\\405t3f_01_S.html" "" }{TEXT -1 13 ", .TEX T, .Tex" }}{PARA 15 "" 0 "" {TEXT -1 7 "Test 4 " }{HYPERLNK 17 "local " 1 "../tests/405t4g_01_S.mws" "" }{TEXT -1 36 " .mws URL, .RTF, .HTM L, .TEXT, .Tex" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 9 "Fall 2000" }} {PARA 15 "" 0 "" {TEXT -1 48 "Test 1 local .mws URL, .RTF, .HTML, .TE XT, .Tex" }}{PARA 15 "" 0 "" {TEXT -1 48 "Test 2 local .mws URL, .RTF , .HTML, .TEXT, .Tex" }}{PARA 15 "" 0 "" {TEXT -1 48 "Test 3 local .mw s URL, .RTF, .HTML, .TEXT, .Tex" }}{PARA 15 "" 0 "" {TEXT -1 48 "Test 4 local .mws URL, .RTF, .HTML, .TEXT, .Tex" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 11 "Spring 2000" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 15 "" 0 "" {TEXT -1 8 "Test 1: " }{HYPERLNK 17 "405t1e_00_s.mws local " 1 "../tests/405t1e_00_s.mws" "" }{TEXT -1 3 ", " }{URLLINK 17 "URL " 4 "www.math.louisville.edu/~grbarn01/405/tests/405t1e_00_s..mws" "" }{TEXT -1 27 ", .RTF, .HTML, .TEXT, .Tex" }}{PARA 15 "" 0 "" {TEXT -1 8 "Test 2 " }{HYPERLNK 17 "405t2f_00_s.mws (local)" 1 "../tests/40 5t2f_00_s.mws" "" }{TEXT -1 3 ", " }{URLLINK 17 "URL" 4 "www.math.lou isville.edu/~grbarn01/405/tests/206t2f_00_s.mws" "" }{TEXT -1 27 ", . RTF, .HTML, .TEXT, .Tex" }}{PARA 15 "" 0 "" {TEXT -1 48 "Test 3 local \+ .mws URL, .RTF, .HTML, .TEXT, .Tex" }}{PARA 15 "" 0 "" {TEXT -1 48 "T est 4 local .mws URL, .RTF, .HTML, .TEXT, .Tex" }}}{SECT 1 {PARA 4 " " 0 "" {TEXT -1 9 "Fall 1999" }}{PARA 15 "" 0 "" {TEXT -1 49 "Test 1 l ocal .mws, URL, .RTF, .HTML, .TEXT, .Tex" }}{PARA 15 "" 0 "" {TEXT -1 49 "Test 2 local .mws, URL, .RTF, .HTML, .TEXT, .Tex" }}{PARA 15 " " 0 "" {TEXT -1 49 "Test 3 local .mws, URL, .RTF, .HTML, .TEXT, .Tex " }}{PARA 15 "" 0 "" {TEXT -1 64 "Test 4 405t4c_99f.mws local .mws, UR L, .RTF, .HTML, .TEXT, .Tex" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 11 " Spring 1999" }}{PARA 15 "" 0 "" {TEXT -1 48 "Test 1 local .mws URL, . RTF, .HTML, .TEXT, .Tex" }}{PARA 15 "" 0 "" {TEXT -1 48 "Test 2 local \+ .mws URL, .RTF, .HTML, .TEXT, .Tex" }}{PARA 15 "" 0 "" {TEXT -1 48 "T est 3 local .mws URL, .RTF, .HTML, .TEXT, .Tex" }}{PARA 15 "" 0 "" {TEXT -1 48 "Test 4 local .mws URL, .RTF, .HTML, .TEXT, .Tex" }}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 9 "Fall 1998" }}{PARA 15 "" 0 "" {TEXT -1 48 "Test 1 local .mws URL, .RTF, .HTML, .TEXT, .Tex" }} {PARA 15 "" 0 "" {TEXT -1 48 "Test 2 local .mws URL, .RTF, .HTML, .TE XT, .Tex" }}{PARA 15 "" 0 "" {TEXT -1 48 "Test 3 local .mws URL, .RTF , .HTML, .TEXT, .Tex" }}{PARA 15 "" 0 "" {TEXT -1 48 "Test 4 local .mw s URL, .RTF, .HTML, .TEXT, .Tex" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Further activities" }}{PARA 15 " " 0 "" {TEXT -1 31 "Math 405 Course Announcements: " }{URLLINK 17 "loc al" 4 "file:///c:/webshare/wwwroot/405/405a.html" "" }{TEXT -1 3 " , \+ " }{URLLINK 17 "URL" 4 "http://www.math.louisville.edu/~grbarn01/405/4 05a.html" "" }{TEXT -1 115 " will open in a browser window. Syllabus, \+ schedule, homework assignments are available from the Announcements Pa ge." }}{PARA 15 "" 0 "" {TEXT -1 51 "Links to other Maple Resources fo r Calculus III: " }{HYPERLNK 17 "_405_MapleResources.mws" 1 "_405_Ma pleResources.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "www.math. louisville.edu/~grbarn01/405/maple/_405_MapleResources.mws" "" }{TEXT -1 3 ", " }{URLLINK 17 "Maple Directory Listing" 4 "www.math.louisvil le.edu/~grbarn01/405/maple/" "" }{TEXT -1 2 " ." }}{PARA 15 "" 0 "" {TEXT -1 27 "Template for new 405 topic " }{HYPERLNK 17 "_405_ccss_abo ut.mws" 1 "_405_ccss_about.mws" "" }{TEXT -1 4 " , " }{URLLINK 17 "UR L" 4 "www.math.louisville.edu/~grbarn01/405/maple/_405_ccss_about.mws " "" }{TEXT -1 3 " . " }}{PARA 15 "" 0 "" {TEXT -1 33 "Links to other \+ Maple Resources " }{HYPERLNK 17 "_MapleResources.mws" 1 "../../_Mapl eResources.mws" "" }{TEXT -1 3 " , " }{URLLINK 17 "URL" 4 "http://www. math.louisville.edu/~grbarn01/_MapleResources.mws" "" }{TEXT -1 119 " \+ . When called, the local _MapleResources.mws worksheet is presumed to be two directory levels up from this worksheet." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{MARK "3 4 1 5" 129 }{VIEWOPTS 1 0 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }