Calculus III

Summer 2024 > Science & Mathematics > MATH.2310 > 045

Course No: MATH.2310-045; SIS Class Nbr: 1759; SIS Term: 3340
Course Status: Registration Closed

Course Description

Extends the concepts of Calculus I and II that deal with functions of a single variable to multi-variable functions, vector-valued functions and vector fields. Vectors and vector-valued functions, the dot and cross products, curves in space and the calculus of vector-valued functions. Multi-variable functions, limits, continuity, and differentiation. Partial derivatives, directional derivatives, the gradient, Lagrange multipliers and optimization. Double and triple integrals in Cartesian, polar and spherical coordinates. Vector fields and the fundamental theorems of vector calculus developed, line and surface integrals, Green's theorem, Stokes's theorem, and the divergence theorem.

Prerequisites, Notes & Instructor

• Prerequisites: MATH.1320 Calculus II, or MATH.2250 Calculus C.
• Special Notes: MA
• Section Notes: Live Online Course; Live online notes: Live Online Course: Attend class remotely during specific days and times (sometimes referred to as synchronous learning). Instructors may deliver lessons from an off-campus location, from a campus classroom, lab or studio, and youll also make use of Blackboard, UMass Lowells online learning management tool. Be advised: This online course has at least one test or exam that will need to be proctored virtually by a company that the University has contracted for this service. Virtual proctors will take security measures, including a scan of your testing environment and a photo ID check. Students will also have the option to take exams on campus if they choose not to use a virtual proctor. Detailed information about how the virtual proctored exam works will be available to you in Blackboard when the course begins. You may also visit https://gps.uml.edu/courses/proctored-exams.cfm for more information.
• Core Codes: MATH, STEM, ONLINE SYN
• Credits: 4; Contact Hours: 4
• Instructor: Roser Gine
• UMass Lowell Bookstore

When Offered & Tuition

• T,Th | 6:00 PM-9:50 PM ET
• 2024 Summer: May 13 to Jun 26
• Course Level: Undergraduate
• Tuition: $1540

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  StackTrace	coldfusion.runtime.CustomException: Past Plan Availability Date at coldfusion.tagext.lang.ThrowTag.doStartTag(ThrowTag.java:139) at coldfusion.runtime.CfJspPage._emptyTag(CfJspPage.java:4319) at cfpayment2dplan2dblock2ecfm763285126$funcGETDIVISORBYTERM.runFunction(D:\inetpub\wwwroot\ContedWeb\includes\payment-plan-block.cfm:50) at coldfusion.runtime.UDFMethod.invoke(UDFMethod.java:554) at coldfusion.runtime.UDFMethod$ReturnTypeFilter.invoke(UDFMethod.java:485) at coldfusion.runtime.UDFMethod$ArgumentCollectionFilter.invoke(UDFMethod.java:448) at coldfusion.filter.FunctionAccessFilter.invoke(FunctionAccessFilter.java:95) at coldfusion.runtime.UDFMethod.runFilterChain(UDFMethod.java:399) at coldfusion.runtime.UDFMethod.runFilterChain(UDFMethod.java:372) at coldfusion.runtime.UDFMethod.invoke(UDFMethod.java:288) at coldfusion.runtime.CfJspPage._invokeUDF(CfJspPage.java:4175) at coldfusion.runtime.CfJspPage._invokeUDF(CfJspPage.java:4155) at cfpayment2dplan2dblock2ecfm763285126$funcGETMONTLYPAYMENTAMMOUNT.runFunction(D:\inetpub\wwwroot\ContedWeb\includes\payment-plan-block.cfm:54) at coldfusion.runtime.UDFMethod.invoke(UDFMethod.java:554) at coldfusion.runtime.UDFMethod$ReturnTypeFilter.invoke(UDFMethod.java:485) at coldfusion.runtime.UDFMethod$ArgumentCollectionFilter.invoke(UDFMethod.java:448) at coldfusion.filter.FunctionAccessFilter.invoke(FunctionAccessFilter.java:95) at coldfusion.runtime.UDFMethod.runFilterChain(UDFMethod.java:399) at coldfusion.runtime.UDFMethod.runFilterChain(UDFMethod.java:372) at coldfusion.runtime.UDFMethod.invoke(UDFMethod.java:288) at coldfusion.runtime.CfJspPage._invokeUDF(CfJspPage.java:4175) at coldfusion.runtime.CfJspPage._invokeUDF(CfJspPage.java:4155) at cfpayment2dplan2dblock2ecfm763285126.runPage(D:\inetpub\wwwroot\ContedWeb\includes\payment-plan-block.cfm:61) at coldfusion.runtime.CfJspPage.invoke(CfJspPage.java:262) at coldfusion.tagext.lang.IncludeTag.handlePageInvoke(IncludeTag.java:735) at coldfusion.tagext.lang.IncludeTag.doStartTag(IncludeTag.java:565) at coldfusion.runtime.CfJspPage._emptyTcfTag(CfJspPage.java:4329) at cfCatalogsearch_detail2ecfm4351478._factor5(D:\inetpub\wwwroot\ContedWeb\catalog\search\Catalogsearch_detail.cfm:276) at cfCatalogsearch_detail2ecfm4351478._factor6(D:\inetpub\wwwroot\ContedWeb\catalog\search\Catalogsearch_detail.cfm:194) at cfCatalogsearch_detail2ecfm4351478._factor7(D:\inetpub\wwwroot\ContedWeb\catalog\search\Catalogsearch_detail.cfm:191) at cfCatalogsearch_detail2ecfm4351478.runPage(D:\inetpub\wwwroot\ContedWeb\catalog\search\Catalogsearch_detail.cfm:1) at coldfusion.runtime.CfJspPage.invoke(CfJspPage.java:262) at coldfusion.tagext.lang.IncludeTag.handlePageInvoke(IncludeTag.java:735) at coldfusion.tagext.lang.IncludeTag.doStartTag(IncludeTag.java:565) at coldfusion.runtime.CfJspPage._emptyTcfTag(CfJspPage.java:4329) at cfCurrent_Semsearch_detail2ecfm1097412858._factor4(D:\inetpub\wwwroot\ContedWeb\catalog\search\Current_Semsearch_detail.cfm:308) at cfCurrent_Semsearch_detail2ecfm1097412858.runPage(D:\inetpub\wwwroot\ContedWeb\catalog\search\Current_Semsearch_detail.cfm:1) at coldfusion.runtime.CfJspPage.invoke(CfJspPage.java:262) at coldfusion.tagext.lang.IncludeTag.handlePageInvoke(IncludeTag.java:735) at coldfusion.tagext.lang.IncludeTag.doStartTag(IncludeTag.java:565) at coldfusion.runtime.CfJspPage._emptyTcfTag(CfJspPage.java:4329) at cfapplication2ecfc1757924483$funcONREQUEST.runFunction(D:\inetpub\wwwroot\ContedWeb\application.cfc:45) at coldfusion.runtime.UDFMethod.invoke(UDFMethod.java:554) at coldfusion.runtime.UDFMethod$ArgumentCollectionFilter.invoke(UDFMethod.java:448) at coldfusion.filter.FunctionAccessFilter.invoke(FunctionAccessFilter.java:95) at coldfusion.runtime.UDFMethod.runFilterChain(UDFMethod.java:399) at coldfusion.runtime.UDFMethod.runFilterChain(UDFMethod.java:372) at coldfusion.runtime.UDFMethod.invoke(UDFMethod.java:288) at coldfusion.runtime.TemplateProxy.invoke(TemplateProxy.java:830) at coldfusion.runtime.TemplateProxy.invoke(TemplateProxy.java:613) at coldfusion.runtime.TemplateProxy.invoke(TemplateProxy.java:438) at coldfusion.runtime.AppEventInvoker.invoke(AppEventInvoker.java:115) at coldfusion.runtime.AppEventInvoker.onRequest(AppEventInvoker.java:308) at coldfusion.filter.ApplicationFilter.invoke(ApplicationFilter.java:551) at coldfusion.filter.RequestMonitorFilter.invoke(RequestMonitorFilter.java:43) at coldfusion.filter.MonitoringFilter.invoke(MonitoringFilter.java:40) at coldfusion.filter.PathFilter.invoke(PathFilter.java:162) at coldfusion.filter.IpFilter.invoke(IpFilter.java:45) at coldfusion.filter.ExceptionFilter.invoke(ExceptionFilter.java:96) at coldfusion.filter.ClientScopePersistenceFilter.invoke(ClientScopePersistenceFilter.java:28) at coldfusion.filter.BrowserFilter.invoke(BrowserFilter.java:38) at coldfusion.filter.NoCacheFilter.invoke(NoCacheFilter.java:60) at coldfusion.filter.GlobalsFilter.invoke(GlobalsFilter.java:38) at coldfusion.filter.DatasourceFilter.invoke(DatasourceFilter.java:22) at coldfusion.filter.CachingFilter.invoke(CachingFilter.java:62) at coldfusion.CfmServlet.service(CfmServlet.java:226) at coldfusion.bootstrap.BootstrapServlet.service(BootstrapServlet.java:311) at org.apache.catalina.core.ApplicationFilterChain.internalDoFilter(ApplicationFilterChain.java:227) at org.apache.catalina.core.ApplicationFilterChain.doFilter(ApplicationFilterChain.java:162) at coldfusion.monitor.event.MonitoringServletFilter.doFilter(MonitoringServletFilter.java:46) at coldfusion.bootstrap.BootstrapFilter.doFilter(BootstrapFilter.java:47) at org.apache.catalina.core.ApplicationFilterChain.internalDoFilter(ApplicationFilterChain.java:189) at org.apache.catalina.core.ApplicationFilterChain.doFilter(ApplicationFilterChain.java:162) at org.apache.tomcat.websocket.server.WsFilter.doFilter(WsFilter.java:53) at org.apache.catalina.core.ApplicationFilterChain.internalDoFilter(ApplicationFilterChain.java:189) at org.apache.catalina.core.ApplicationFilterChain.doFilter(ApplicationFilterChain.java:162) at org.apache.catalina.core.StandardWrapperValve.invoke(StandardWrapperValve.java:197) at org.apache.catalina.core.StandardContextValve.invoke(StandardContextValve.java:97) at org.apache.catalina.authenticator.AuthenticatorBase.invoke(AuthenticatorBase.java:541) at org.apache.catalina.core.StandardHostValve.invoke(StandardHostValve.java:135) at org.apache.catalina.valves.ErrorReportValve.invoke(ErrorReportValve.java:92) at org.apache.catalina.core.StandardEngineValve.invoke(StandardEngineValve.java:78) at org.apache.catalina.connector.CoyoteAdapter.service(CoyoteAdapter.java:377) at org.apache.coyote.ajp.AjpProcessor.service(AjpProcessor.java:463) at org.apache.coyote.AbstractProcessorLight.process(AbstractProcessorLight.java:65) at org.apache.coyote.AbstractProtocol$ConnectionHandler.process(AbstractProtocol.java:889) at org.apache.tomcat.util.net.NioEndpoint$SocketProcessor.doRun(NioEndpoint.java:1743) at org.apache.tomcat.util.net.SocketProcessorBase.run(SocketProcessorBase.java:49) at org.apache.tomcat.util.threads.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1191) at org.apache.tomcat.util.threads.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:659) at org.apache.tomcat.util.threads.TaskThread$WrappingRunnable.run(TaskThread.java:61) at java.base/java.lang.Thread.run(Thread.java:834)
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  TagContext	array 1 struct COLUMN 0 ID CFTHROW LINE 50 RAW_TRACE at cfpayment2dplan2dblock2ecfm763285126$funcGETDIVISORBYTERM.runFunction(D:\inetpub\wwwroot\ContedWeb\includes\payment-plan-block.cfm:50) TEMPLATE D:\inetpub\wwwroot\ContedWeb\includes\payment-plan-block.cfm TYPE CFML 2 struct COLUMN 0 ID CF_UDFMETHOD LINE 54 RAW_TRACE at cfpayment2dplan2dblock2ecfm763285126$funcGETMONTLYPAYMENTAMMOUNT.runFunction(D:\inetpub\wwwroot\ContedWeb\includes\payment-plan-block.cfm:54) TEMPLATE D:\inetpub\wwwroot\ContedWeb\includes\payment-plan-block.cfm TYPE CFML 3 struct COLUMN 0 ID CF_UDFMETHOD LINE 61 RAW_TRACE at cfpayment2dplan2dblock2ecfm763285126.runPage(D:\inetpub\wwwroot\ContedWeb\includes\payment-plan-block.cfm:61) TEMPLATE D:\inetpub\wwwroot\ContedWeb\includes\payment-plan-block.cfm TYPE CFML 4 struct COLUMN 0 ID CFINCLUDE LINE 276 RAW_TRACE at cfCatalogsearch_detail2ecfm4351478._factor5(D:\inetpub\wwwroot\ContedWeb\catalog\search\Catalogsearch_detail.cfm:276) TEMPLATE D:\inetpub\wwwroot\ContedWeb\catalog\search\Catalogsearch_detail.cfm TYPE CFML 5 struct COLUMN 0 ID CF_CATALOGSEARCH_DETAIL LINE 194 RAW_TRACE at cfCatalogsearch_detail2ecfm4351478._factor6(D:\inetpub\wwwroot\ContedWeb\catalog\search\Catalogsearch_detail.cfm:194) TEMPLATE D:\inetpub\wwwroot\ContedWeb\catalog\search\Catalogsearch_detail.cfm TYPE CFML 6 struct COLUMN 0 ID CF_CATALOGSEARCH_DETAIL LINE 191 RAW_TRACE at cfCatalogsearch_detail2ecfm4351478._factor7(D:\inetpub\wwwroot\ContedWeb\catalog\search\Catalogsearch_detail.cfm:191) TEMPLATE D:\inetpub\wwwroot\ContedWeb\catalog\search\Catalogsearch_detail.cfm TYPE CFML 7 struct COLUMN 0 ID CF_CATALOGSEARCH_DETAIL LINE 1 RAW_TRACE at cfCatalogsearch_detail2ecfm4351478.runPage(D:\inetpub\wwwroot\ContedWeb\catalog\search\Catalogsearch_detail.cfm:1) TEMPLATE D:\inetpub\wwwroot\ContedWeb\catalog\search\Catalogsearch_detail.cfm TYPE CFML 8 struct COLUMN 0 ID CFINCLUDE LINE 308 RAW_TRACE at cfCurrent_Semsearch_detail2ecfm1097412858._factor4(D:\inetpub\wwwroot\ContedWeb\catalog\search\Current_Semsearch_detail.cfm:308) TEMPLATE D:\inetpub\wwwroot\ContedWeb\catalog\search\Current_Semsearch_detail.cfm TYPE CFML 9 struct COLUMN 0 ID CF_CURRENT_SEMSEARCH_DETAIL LINE 1 RAW_TRACE at cfCurrent_Semsearch_detail2ecfm1097412858.runPage(D:\inetpub\wwwroot\ContedWeb\catalog\search\Current_Semsearch_detail.cfm:1) TEMPLATE D:\inetpub\wwwroot\ContedWeb\catalog\search\Current_Semsearch_detail.cfm TYPE CFML 10 struct COLUMN 0 ID CFINCLUDE LINE 45 RAW_TRACE at cfapplication2ecfc1757924483$funcONREQUEST.runFunction(D:\inetpub\wwwroot\ContedWeb\application.cfc:45) TEMPLATE D:\inetpub\wwwroot\ContedWeb\application.cfc TYPE CFML
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