ࡱ> ~'` g(bjbj{P{P 5T::g R j'j'j'j'\'L<((((((((TTTT=Tj$Th'-(('-'-((+0+0+0'-v((T+0'-T+0+0nQ$S(( Z j'-* R T 0<,RN.NN@$S$S&NJS@( *+0*g+(((0(((<'-'-'-'-dj'j'T6N Department of Physics and Mathematics Tennessee State University Course Syllabus MATH 1920; Calculus & Analytic Geometry II Instructor: Office: Phone: Office Hours: email: PREREQUISITES: Grade of C or better in MATH 1910/1915 or permission of the Department Head. COURSE AUDIENCE: This course is designed for students in sciences, engineering and other relevant programs. Others who are interested and meet the prerequisites are welcome. COURSE DESCRIPTION: The second course of a four semester sequence which emphasizes application to the physical sciences. Topics include the definite integral, derivatives and integrals of transcendental functions, techniques of integration and applications. PURPOSE/RATIONALE: This class satisfies course requirements and prerequisites for sciences, engineering and other relevant programs. Furthermore, it provides language and methods for sciences, engineering and other relevant classes. GOALS and OBJECTIVES: The aim of this course is to provide an introduction to fundamentals of calculus. The student is expected to gain mathematical skills for studying limits, derivatives, techniques of integration, the definite integral, and properties and graphs of transcendental functions. TEXT and COVERAGE: Swokowski, Calculus, The Classic Edition, Chapters 8, 9, 10, 11 and 13. ADDITIONAL LEARNING RESOURCES: On-line tutorials accompanying the text, Science and Mathematics Tutorial Center, Academic Intervention Center, Trio Program, Learning Resources Center Mathematics Lab, ICAN Program and Engineering Tutorial Lab. INSTRUCTIONAL METHODOLOGY: The primary method of instruction used will be the Lecture/Discussion. Additional instructional methods may involve a number of traditional and non-traditional methods including cooperative learning, computer-assisted activities, board and media presentations. LEARNING COMPETENCIES: Upon successful completion of this course, the student will develop the skills required for the study of Calculus II and various courses in the sciences. In particular, the student will be able to: Compute the derivative and anti-derivative of, hyperbolic and inverse functions. Graph the hyperbolic and the inverse hyperbolic functions. Find an anti-derivative using parts, powers of trigonometric function, trigonometric substitution, partial fractions and completing the square. Recognize and evaluate indeterminate forms. Use LHopitals rule to evaluate limits. Evaluate improper integrals. 7. Find the limit of infinite sequences or determine that it does not exist. 8. Determine convergence and divergence and absolute convergence of infinite series using standard testing theorems, and find the sum of geometric series. 9. Find intervals and radii of convergence for power series. 10. Find power series representations of new functions based on known power series representations by use of algebra, differentiation and integration of those known series. 11 Find Maclaurin and Taylor polynomials and power series representations of functions by use of the nth derivative. 12. Translate parameterizations of a curve into an equation in two variables. Graph parameterized plane curves together with descriptive data about orientation and motion. 13. Find arc length of and tangent lines to parameterized plane curves. 14. Graph polar equations and translate between polar and rectangular coordinates. 15. Find integrals in polar coordinates. EVALUATION PROCEDURE: Students will be evaluated on their performance on various combinations of homework, quizzes and exams. Exam questions will be posed at the level of problems from the textbook and will be directly connected to the learning competencies. Furthermore, exam questions will be designed to evaluate the intellectual level of the students mastery of the learning competencies. Students mastery of the Learning Competencies will be evaluated according to the following criteria: Writing: Proper use of mathematical notation and symbolism as well as the proper use of spelling and grammar on any work that requires a written response. Reading: Knowledge and application of the appropriate mathematical definitions required to solve problems. Creative Thinking: The ability to draw on prior mathematical knowledge to develop solutions to unfamiliar problems. Integrated Learning: The ability to solve application problems from other subject areas. EXAMINATION DATES: Departmental Final Examination for Spring 2011: Day Classes: Friday April 28, 2011 2:30-4:30 pm. Evening Classes: Friday April 28, 2011 6:35-8:35 pm. (Place to be announced) The Final will be based on the course common competencies and constitute 30% of the grade; No hand calculators, formula sheets, etc. may be used on the Final. (Place to be announced) GRADING POLICY: *For all courses offered through the Physics and Mathematics Department, any incidence of academic dishonesty carries a minimum penalty of a non-removable zero for that work. ATTENDANCE POLICY: As outlined in the 2005-2007 University Undergraduate Catalog ( page 28) and subject to the same restrictions, the Department of Physics and Mathematics recognize the following reasons for granting an excused absence: an official University activity the death of an immediate family member an admittance of the student to a hospital REMARKS: No active cellular phones, pagers, beepers, computers or other electronic devices are permitted in the classroom. Usage of or an attempt to use any of these devises in exams carries a minimum penalty of non-removable zero for that exam. If you have a physical, psychological, medical or learning disability that may impact on your ability to carry out assigned course work, please contact the staff in the Disabled Student Services (DSS) Office, DSS will review your concern and determine what accommodations are necessary and appropriate. All information and documents of disability are confidential. Reference Materials: Finney/Thomas, Calculus, revised edition, Addison-Wesley, 1990 Grossman, Precalculus with Applications, 1st ed. Saunders 1990 Purcell/Varberg, Calculus with Analytic Geometry, 5th ed., Prentice-Hall 1987 Repka, Calculus with Analytic Geometry, WCB, 1994 Schaum's Outline, Calculus TENNESEE STATE UNIVERSITY COLLEGE OF ARTS AND SCIENCES MATH 1915 TENTATIVE WEEKLY PLAN Week 1 Derivatives and Integrals of Inverse Trig and Hyperbolic functions Week 2 Techniques of Integration Week 3 Techniques of Integration Week 4 Techniques of Integration Week 5 Techniques of Integration Week 6 Indeterminate Forms Improper Integrals Week 7 Sequences & Series Week 8 Spring Break Week 9 Sequences & Series Week 10 Series Week 11 Series Week 12 Series Week 13 Plane Curves Week 14 Polar Coordinates Week 15 Review & Final Exam Suggested Homework Problems: Section Problems 8.1 Optional 1-22(evens) 8.2 2-28(evens),30-44(evens) 8.3 4-26(evens),28-48(evens) 8.4 Optional 4-18(evens),20-26(evens)(Brief review is recommended) 9.1 1-38 9.2 1-30 9.3 1-22 9.4 1-32(evens) 9.5 1-18 9.6 Optional 1-26(evens) 10.1 2-42(evens) 10.2 2-40(evens) 10.3 2-24(evens) 10.4 Optional 1-30(evens) 1-42 Multiples of 3 7,13,15,33,35,37,41-49 odd (Telescop. Series is Optional) 1-42 Multiples of 3 1-30 Multiples of 3 1-30 Multiples of 3 1-30 Multiples of 5 1-4,15-21 1-6,9-12,23-26 1,6,7,9,10,11,23,25 2,3,6,7,12b,13b,17b,21,23,25 1-17 Multiple of 3,27-34 odd,37-50 odd, 51,54,59 1-12, 13-16 * Practice of these types of problems is essential to mastery of the Learning Competencies. @RZ[{|  $ % ŸŠ얌ylbyVh=hcb5CJaJhWB*CJphhW5>*B*CJphhcb5>*CJhkB*CJphhB*CJphh9HB*CJphhYxshcb5>*CJh^!T5B*CJphhk5>*B*CJphh9H5>*B*CJphh5>*B*CJphhBsw5>*B*CJphh9H5B*CJph h9H5CJ&AQR}  = > 45XYgdcbgdW$a$g( g   % & ' 4 G j x  ( ˙ˌxlxhdN6B*CJphhdNB*CJphh@?B*CJphhdN5>*B*CJph hcb5CJhoB*CJphhG5>*B*CJphhWB*CJphhuB*CJphhcb5>*CJh9H5>*B*CJphh9HB*CJphhkB*CJphhGB*CJph(( . 0 ; < = > [ ^ 35NXYZ[pq"#=ǵ}pcVpLBLBLhB*CJphhUB*CJphh*G5>*B*CJphh5>*B*CJphhU5>*B*CJphhcbhcb5CJaJhYB*CJaJphhcbhcbB*CJaJph hcbhcb5B*CJaJph#hcbhcb5>*B*CJaJphhdN5>*B*CJphhdNhdNB*CJphh^hB*CJphhoB*CJphhKnB*CJphYZ[#<=YjR ,p@ P !$h^hgd & Fgd^h & FgdogdU ,p@ P !$6]6gdUipQX79:9;Cſſ˵~thWB*CJphhW5B*CJphhG5B*CJphhG5>*B*CJph#hcbhcb5>*B*CJaJphhKnB*CJph hCJ h^hCJhhCJhhB*CJphh^hB*CJphhuJB*CJphhUB*CJph,79DEE$~7Ogdb5 & FgdWgdWh^hgdWgdKn ,p@ P !$h^hgdCE}~  ykaWaWNAh'h'5B*phhb55CJaJh'5B*phhv5B*phh'5B*CJaJphhb55B*CJaJphhv5B*CJaJphhI5B*CJaJph h@?hb55B*CJaJphh@?hb55CJaJh@?hb55>*CJaJhuJ5>*B*CJphhhWB*CJphhWB*CJphhW5>*B*CJph #&57NO   -.46=AŹ~~r~fXMB:BhOCJaJhilh=fCJaJhcbhcbCJaJhcbhcb5>*CJaJhcbhcb>*CJaJhOB*CJaJphhcbhcbB*CJaJph#hcbhcb5>*B*CJaJphhSS5>*B*CJphhq5>*B*CJphh@?hq5CJaJh@?hb55CJaJ h@?hb55B*CJaJphh'5B*phhv5B*phh*B*CJphhah=fhilh=fCJhOh=fCJaJh=fB*ph$ !)!*!u!!!!!"/"P""""""" #Q#R#gdYjgd1h^hgdYjh^hgdo2$a$gd!!!!!!!!!!!""""""."/"5"C"D"O"P"T""""""""""""""""# # #!#+#-#9#=#F#R#S#V#ɹɱꔊh1CJOJQJhYjCJOJQJhYjh'oCJaJh'oCJaJh1CJaJhDbCJaJhYjCJaJhYjh1CJaJhYjhDbCJaJhYjho2CJaJhYjhYjCJaJhYjhuJCJaJ3R#S#T#U#V#W#X#Y#Z#[#\#]#^#_#`#a#b#c#d#e#f#g#gd.}J ,p@ P !$]gd1 ,p@ P !$]gdYjV#Y#[#f#g#i#z###################$$9$:$<$>$F$J$O$S$T$V$Z$b$s$u$}$$$$$$$$$$$$ȿhDhDCJ h4CJ haiCJ h'oCJhaihaiCJ h.}J>*CJ h.}JCJhn 5>*CJh.}J5>*CJhah.}J>*CJhaha>*CJhYj5>*CJh H5>*CJh"5>*CJh\5>*CJ4g#h########:$;$G$S$_$r$~$$$$$$$$*% & F 5$7$8$9DH$gdko=gd\gdai`gdB-wgd.}J$$$$$$$%*%M%U%g%i%r%t%}%%%%%%%%%&&:&N&q&&&&&&&&' ''?'A'[''''''(((̹̹ԱԱԡԀhko=h8gCJaJh8gh8gCJaJh8ghko=CJaJh8gCJaJhQCJaJh'oCJaJh4CJaJhko=hko=CJaJh8cCJaJhko=CJaJ h\CJhaih\CJhaihaiCJ haiCJ hDCJ1*%%%&N&&&&&'''((d(e(f(g(gd\gdW^gd8g & F gd8g & F 5$7$8$9DH$gdko=gdko= & F 5$7$8$9DH$gdko= & F v5$7$8$9DH$gd4 & F 5$7$8$9DH$]gd8c(d(g(hko=h\CJaJhko=hWCJaJ3;0APBP/ =!"#$% 666666666vvvvvvvvv666666>6666666666666666666666666666666666666666666666666hH666666666666666666666666666666666666666666666666666666666666666666H@H Normal5$7$8$9DH$_HmH sH tH DAD Default Paragraph FontViV  Table Normal :V 44 la (k(No List g T z z z z z[hg ]D&AQR}=>45XYZ[#<=Y  j R  7 9 DEE$~7OPQ    u. 456@A011 )*u/P QRSTUVWXYZ[\]^_`abcdefgh:;GS_r~*N  d e f i !x!x!x!x!x!x!x!x!x!؈!x!PG!x!x!x!PG!x! !x!؈!x! !x! !x!x!x!`!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!@ !x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!`!x!x!x!`!x!x!x!x!x!x!x!x!`!x!!X!!hG!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!!!!!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!`!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x!x&AQR}=>45XYZ[#<=Y  j R  7 9 DEE$~7OPQ    u. 456@A011 )*u/P QRSTUVWXYZ[\]^_`abcdefgh:;GS_r~*N  d e f i 08000000000000000000000000000000 0 0 0 0 0 000000000000000000000 0 0 0 0000000000000000000000 0 0 00000 000 00000000000000000000000000000000000000000000000000000000000000000000000000000 0 0 0 0 0 0 0 00 0 0 0 000000 ( C !V#$(g(!#%')YO4 R#g#*%g( "$&(g(8@0(  B S  ?DUDUDUlDUDUDU,DUlDUDU@DUT@DU@DU@DUADUTADUADUADUBDUTBDUB&&06R EE $i      /5@@V LL (i     ?*urn:schemas-microsoft-com:office:smarttags stockticker9*urn:schemas-microsoft-com:office:smarttagsplace8 *urn:schemas-microsoft-com:office:smarttagsCity=*urn:schemas-microsoft-com:office:smarttags PlaceName=*urn:schemas-microsoft-com:office:smarttags PlaceType DB  9@iqi   9>#*p v X g   EM6vx"(.1.N`i :::::::::::::::::::::::O99=FZe9*MUUg::qq ?AZ[]]   i i  f{'5D'K(";i10KYAlkCک+0O.\{cY娹WvR\?]UcZ n)szjo@ @ ^@ `o(@ @ ^@ `o(.@ @ ^@ `o(..@ @ ^@ `o(... @ @ ^@ `o( .... @ @ ^@ `o( ..... @ @ ^@ `o( ...... @ @ ^@ `o(....... @ @ ^@ `o(........ 0^`0o(0^`0o(.0^`0o(..0^`0o(... 88^8`o( .... 88^8`o( ..... `^``o( ...... `^``o(....... ^`o(........^`o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. 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L^`LhH. sz{cYnf{'KYA;i1WvR\(kC+0OUc5D'?]                   pg                 .2] Bk3Hdk8|nrx         mk }JIT7Yn 9H(V7 *GUoo2j8ko=@?BD4D.}J_M     Default Print Settingsj i k k m m @hp LaserJet 1300 PCL 6C odXXLetter DINU"XXSMTJHhp LaserJet 1300 PCL 6InputBinFORMSOURCERESDLLUniresDLLResolution600dpiFastResFalseOrientationPORTRAITHPOrientRotate180FalsePaperSizeLETTERMediaTypePLAINOutputBinUpperEconomodeFalseTTAsBitmapsSettingTTModeOutlineRETChoiceTrueHPStraightPaperPathFalseHPPrintOnBothSidesManuallyFalseHPManualDuplexDialogItemsInstructionID_01_NPPHPManualFeedOrientationFACEDOWNHPOutputBinOrientationFACEDOWNHPManualDuplexDialogModelModelessHPManualDuplexPageOrderEvenPagesFirstHPMapManualFeedToTray1FalsePrintQualityGroupPQGroup_4HPLpiSelectionNoneHPColorModeMONOCHROME_MODEHPPDLTypePDL_PCL6HPPJLEncodingUTF8HPJobAccountingHPJOBACCT_JOBACNTHPXMLFileUsedHPXMLFileNameHPPCL6PassThroughTrueHPJobByJobOverrideJBJOHPFontInstallerTRUEIUPHdLetter [none] [none]Arial4Pd?JWILLIAMS<Automatic>     Default Print Settingsj i k k m m @,g @@UnknownGz Times New Roman5Symbol3& z Ariala NewBskvll BTTimes New RomanA&S&/f::!xx24dW W 3qHP)?9H2%Department of Physics and Mathematicsmreed4 jwilliams@         Oh+'0   @ L X dpx(Department of Physics and Mathematicsmreed4Normal jwilliams4Microsoft Office Word@G@H&@|r@_R ՜.+,0  hp|  TSU:W ' &Department of Physics and Mathematics Title  !"#$%&'()*,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmopqrstuwxyz{|}Root Entry FZ 1Table+WordDocument5TSummaryInformation(nDocumentSummaryInformation8vCompObjq  FMicrosoft Office Word Document MSWordDocWord.Document.89q