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Calculus II: MATH 2564 at NorthWest Arkansas Community College - Fall 2008, Exams of Calculus

NorthWest Arkansas Community CollegeCalculus

The details of calculus ii (math 2564) offered at northwest arkansas community college during the fall 2008 semester. The course covers topics such as inverse trigonometric functions, hyperbolic functions, exponential and logarithmic functions, integration techniques, infinite series, conic sections, and polar coordinates. Prerequisites and required textbooks are also listed.

Typology: Exams

Pre 2010

Uploaded on 08/19/2009

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NorthWestArkansasCommunityCollege
DivisionofScienceandMathematics Fall2008
CourseNumber: MATH2564CalculusII
CatalogDescription
AcontinuationofMATH2554.Topicsincludeinversetrigonometricfunctions,hyperbolicfunction,exponentialandlogarithmic
functions,techniquesofintegration,indeterminateforms,improperintegrals,infiniteseries,conicsections,parametriccurves,and
polarcoordinates.
Prerequisite
MATH2554withagradeofCorbetter,orappropriateplacementscoresorconsentofinstructor.
Credit/Contact/LoadHours
4credithours,4contacthours,4loadhours
TargetAudienceandTransfer
Thiscourseisdesignedfortransferstudentswhoareinterestedintechnicalorsciencebasedfields.Itisthesecondinasequence
ofthreedifferentialandintegralcalculuscoursesandtransfersassuch.
GeneralCourseObjectives
Uponsuccessfulcompletionofthiscoursestudentsshouldexhibitmasteryofcertainknowledgeandbasicskills.Theseskillswill
include,butnotbelimitedto:
1) Applicationsofintegrationincluding area,volume,surfacearea,work,andfluidpressureandforce.
2) Useofbasicintegrationtechniquesincluding usubstitution,integrationbyparts,trigonometricintegrals,trigonometric
substitution,partialfractions andevaluationofimproperintegrals.
3) UseL’Hopital’sRuletoevaluatelimitsofindeterminateform
4) Determineconvergenceordivergenceofinfiniteseries
5) Representvariousfunctionsusingpowerseries(includingTaylorandMaclaurinseries)
6) Convertamongrectangular,polarandparametricforms andapplycalculustechniquesusingpolarcoordinatesand
parametricequations.
7) Identifybasicpropertiesofandgraphconicsections
RequiredText:
Calculus,EarlyTranscendentalFunctions, FourthEdition
Larson,Hostetler,Edwards.HoughtonMifflinCo.2007.
RequiredTopics:
Section Topic
7.1 AreaofaRegionBetweenTwoCurves
7.2 Volume:TheDiscMethod
7.3 Volume:TheShellMethod
7.4 ArcLengthandSurfacesofRevolution
7.5 Work
7.7 FluidPressureandFluidForce
8.1 BasicIntegrationRules
8.2 IntegrationbyParts
8.3 TrigonometricIntegrals
8.4 TrigonometricSubstitution
8.5 PartialFractions
8.6 IndeterminateFormsandL’Hopital’sRule
8.7 ImproperIntegrals
9.1 Sequences
9.2 SeriesandConvergence
9.3 TheIntegralTestandpSeries
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Download Calculus II: MATH 2564 at NorthWest Arkansas Community College - Fall 2008 and more Exams Calculus in PDF only on Docsity!

NorthWest Arkansas Community College Division of Science and Mathematics Fall 2008

Course Number: MATH 2564 Calculus II

Catalog Description A continuation of MATH 2554. Topics include inverse trigonometric functions, hyperbolic function, exponential and logarithmic functions, techniques of integration, indeterminate forms, improper integrals, infinite series, conic sections, parametric curves, and polar coordinates.

Prerequisite MATH 2554 with a grade of C or better, or appropriate placement scores or consent of instructor.

Credit/Contact/Load Hours 4 credit hours, 4 contact hours, 4 load hours

Target Audience and Transfer This course is designed for transfer students who are interested in technical or science based fields. It is the second in a sequence of three differential and integral calculus courses and transfers as such.

General Course Objectives Upon successful completion of this course students should exhibit mastery of certain knowledge and basic skills. These skills will include, but not be limited to:

  1. Applications of integration including area, volume, surface area, work, and fluid pressure and force.
  2. Use of basic integration techniques including us ubstitution, integration by parts, trigonometric integrals, trigonometric substitution, partial fractions and evaluation of improper integrals.
  3. Use L’Hopital’s Rule to evaluate limits of indeterminate form
  4. Determine convergence or divergence of infinite series
  5. Represent various functions using power series (including Taylor and Maclaurin series)
  6. Convert among rectangular, polar and parametric forms and apply calculus techniques using polar coordinates and parametric equations.
  7. Identify basic properties of and graph conic sections

Required Text: Calculus, Early Transcendental Functions, Fourth Edition Larson, Hostetler , Edwards. Houghton Mifflin Co. 2007.

Required Topics: Section Topic 7.1 Area of a Region Between Two Curves 7.2 Volume: The Disc Method 7.3 Volume: The Shell Method 7.4 Arc Length and Surfaces of Revolution 7.5 Work 7.7 Fluid Pressure and Fluid Force

8.1 Basic Integration Rules 8.2 Integration by Parts 8.3 Trigonometric Integrals 8.4 Trigonometric Substitution 8.5 Partial Fractions 8.6 Indeterminate Forms and L’Hopital’s Rule 8.7 Improper Integrals

9.1 Sequences 9.2 Series and Convergence 9.3 The Integral Test and pS eries

9.4 Comparisons of Series 9.5 Alternating Series 9.6 The Ratio and Root Tests 9.7 Taylor Polynomials and Approximations 9.8 Power Series 9.9 Representation of Functions by Power Series 9.10 Taylor and Maclaurin Series

10.1 Conics and Calculus 10.2 Plane Curves and Parametric Equations 10.3 Parametric Equations and Calculus 10.4 Polar Coordinates and Polar Graphs 10.5 Area and Arc Length in Polar Coordinates

Optional Sections 7.6, 8.6, 10.

Required Instructional Activities The content of the course should be taught with graphing calculators as an available tool when appropriate.

Required Forms of Assessment Each instructor must include a set of 6 departmental final exam questions on his or her final exam. These questions will be in direct support of the specific objectives stated in the Core Course Objectives, will be based on material covered in the Required Text Coverage section, and be similar to the questions on the Departmental Review Sheet. These questions should be evenly weighted on the final and should compose at least 10% of the students’ overall grade in the course. The questions will be graded using a departmental grading rubric utilizing a 10po int scale per question. The results of these questions and overall student performance will be reported when final grades are turned in. Please note that the only resource other than a graphing calculator allowed for use by students during the final exam will be a departmental formula sheet. It is also a departmental policy that no TI 89 or TI 92 or comparable calculators be allowed for use during the final exam.

Resources For the Instructor:

  1. Instructor’s Resource Guide
  2. Complete Solutions Guide
  3. Test Item File
  4. HMClassPrep (Instructor’s CDR OM)
  5. Transparency Package
  6. Computerized Testing

For the Student:

  1. Study and Solutions Guide
  2. Graphing Technology Guide
  3. Interactive Calculus: Early Transcendental Functions CDR om
  4. Graphing Calculator Instructional Tapes
  5. Many additional texts pecific and interactive features can be found at the Houghton Mifflin website (college.hmco.com)