Documents

MTH1112 Course Outline

Categories
Published
of 17
All materials on our website are shared by users. If you have any questions about copyright issues, please report us to resolve them. We are always happy to assist you.
Related Documents
Share
Description
MTH1112 Course Outline
Transcript
  INTERNATIONAL ISLAMIC UNIVERSITY MALAYSIA COURSE OUTLINE Kulliyyah / Institute Engineering Department / Centre Science in Engineering r! ramme All programmes Name !# C!urse / M!$e Engineering Calculus I /Full time C!urse C!$e MTH 1112 Name %s& !# A'a$emi' sta## / Instru't!r%s& Prof. Dr. M. Aram! E 1 #2a. maram$iium.e%u.m&! Tel' () #(1*(#+,*+ Consultation Hrs' M#TH -1)'))#11')) or & appointment C!nta't (!urs 0ectures' Sec. -M' 11' )#12',)! Eam H 1 Sec.+ -TTH' 11' )#12',)! Eam H 1 Tutorial'Sec. -M. 13))#1*))! E 2 #1#1! Sec.+ -e% 14))#13))! E 2 #1#1   Rati!nale #!r the in'lusi!n !# the '!urse / m!$ule in the pr! ramme 5e6uire% course for all Engineering Programmes Semester an$ Year O##ere$ E7er& Semester  Status Core Le)el 1 r!p!se$ Start Date*at'h !# Stu$ent t! +e A##e'te$T!tal Stu$ent Learnin Time %SLT&,a'e t! ,a'eAssessments    I  n   %  e  p  e  n   %  e  n   t   0  e  a  r  n   i  n     g T!talStu$entLearnin Time    0  e  c   t  u  r  e   T  u   t  o  r   i  a   l   P  r  a  c   t   i  c  a   l    M   i   %   t  e  r  m   F   i  n  a   l +21 2 (2 -..Cre$it Value / (!urs /122 rere0uisites (if any)  8one C!re0uisites (if any)  8one C!urse O+1e'ti)es T9e o:ecti7es of t9is course are to'1.Present an% %e7elop a clear un%erstan%ing of %efinitions! concepts! rules!t9eorems! tec9ni6ues! an% applications of %ifferential an% integral calculus.2.Encourage stu%ents to t9in; 7isuall& an% numericall& & generating an%interpreting grap9s! using calculators an% computers <9ene7er possile. .Strengt9en t9e stu%ents= numer sense in or%er to e ale to recognie anasur% ans<er & encouraging t9em to ma;e mental estimates! to appeal tot9eir intuition! an% to <or; on prolems ot9 in%i7i%uall& an% in groups. Learnin Out'!mes >pon completion of t9is course! stu%ents s9oul% e ale to'1.Appl& t9e concepts of limit an% continuit& in computing limit an% %etermining continuit& of a function.2.Anal&e t9e concept an% computing tec9ni6ues of %eri7ati7es <it9 applications in engineering prolems.  .Anal&e t9e concept an% e7aluating tec9ni6ues of integration for sol7ing engineering prolems.+.E7aluate series an% its inter7al of con7ergence for 7arious functions an% applications. Trans#era+le S2ills3 Skills and how they are developed and assessed: S2illsDe)el!pmentAssessment Tec9nical0ecturesritten AssessmentTutorials Tea'hin Learnin an$ assessment strate y 0ectures! Tutorials an% ?uies C!urse Syn!psis Comple numers! limits! continuit&! %ifferentiation an% integration <it9 applications! transcen%ental functions! tec9ni6ues of integration! infinite an%  po<er series. M!$e !# Deli)ery  Lecture and tutorial. Assessment Meth!$s an$ Type/C!urse Assessment State <eig9tage of eac9 t&pe of assessment. Mappin !# '!urse / m!$ule t! the r! ramme Learnin Out'!mes 0earning @utcome of t9e courseProgramme @utcomes)1)2) )+),)()4)3)*1)11121.Appl& t9e concepts of limit an% continuit& in computing limit an% %etermining continuit& of a function.  ü 2.Anal&e t9e concept an% computing tec9ni6ues of %eri7ati7es <it9 applications in engineering prolems.  ü ü .Anal&e t9e concept an% e7aluating tec9ni6ues of integration for sol7ing engineering prolems. ü ü +.E7aluate series an% its inter7al of con7ergence for 7arious functions an% applications.  ü C!ntent !utline !# the '!urse / m!$ule an$ the SLT per t!pi'4ee2sT!pi'sLearnin (!ursTas2/Rea$in 1 C!mple5 Num+ers  Intro%uction! algeraic properties! mo%ulus an% con:ugates! geometric presentation! polar form an% Euler=s formula! De   Moi7re=s T9eorem.2Han%out2!  LLimit an$ C!ntinuity 5e7ie<' Transcen%ental functions. Concept an% e7aluating tec9ni6ues of limits an% continuit& for s6uare#root an% transcen%ental functions! interme$iate )alue the!rem ! limit in7ol7ing infinit&! as&mptotes. .,C9apter )!1+!,  Differentiation Concept of %eri7ati7e! %eri7ati7e an% %ifferential! %ifferentiailit& an%continuit&! %ifferentiation tec9ni6ues for algeraic an% transcen%ental functions! implicit %ifferentiation! Mean )alue the!rem . .,C9apter 2   LOMeth!$6 1# ?uies1)1#2Mi%#term Eamination- Sun$ay 78/--/.7-9: -7377-.377 n!!n& +,1#+Final Eamination +,  (!4  Applications of Differentiation 0inear approimation! 8e<ton=s met9o%! in%eterminate forms an% 0=Hopital=s rule! local an% asolute etrema! increasing an% %ecreasing function! conca7it& an% inflection points! transformations on cur7es! cur7e s;etc9ing! optimiation! concept of %eri7ati7e as slope an% rates of c9ange. +C9apter 3!*  Integration Anti#%eri7ati7es! %efinite an% in%efinite integration! asic tec9ni6ues! concept of %efinite integration as area an% 5iemann sum! fun%amentalt9eorems of calculus! integration & sustitution.+C9apter +1)  Applications of Integration Area et<een cur7es! 7olume of soli% & slicing/%is;s/<as9ers an% c&lin%rical   s9ells met9o%s! ar' len th an$ sur#a'e area . .,C9apter ,11!12 Techniques of Integration Integration & parts! Trigonometric tec9ni6ues of integration! integration & partial fractions! improper integration.+C9apter (1 ! 1+  Infinite Series In#inite series an$ '!n)er en'e: e!metri' series: harm!ni' series:tests #!r series !# n!nne ati)e terms3 n th  ; term test #!r$i)er en'e: inte ral test an$ pseries: '!mparis!n test: alternatin series3 alternatin series test: a+s!lute an$ '!n$iti!nal'!n)er en'e: rati! test: r!!t test:  po<er series' ra%ius of con7ergence! Ta&lor an% Maclaurin series! application of Ta&lor series. .,C9apter 3   Re0uire$ re#eren'es supp!rtin the '!urse 5oert! T.S.  5olan%! B.M.! -2))(! Calculus  - r%  e%.! Mcra< Hill. Re'!mmen$e$ re#eren'es supp!rtin the '!urse Anton! H.! Bi7ens! I.  Da7is! S.! -2))2! Calculus  -4 t9  e%.! o9n ile&.E%<ar%s! C. H. Penn&! D.E.! -2))2! Calculus  -( t9  e%.! Prentice Hall.Finne&! 5.0.! eir! M.D.0.F.  T9omas  , .! -2))1! Calculus  -1) t9  e%.! A%%ison#esle& Pulis9ing Compan&.o9nston! E. H.  Mat9e<s! .C.! -2))2! Calculus ! A%%ison esle&.Strauss! M..! Bra%le&! .0.  Smit9! ..!-2))2! Calculus  - r%  e%.! Prentice Hall. r! ramme Learnin Out'!me %O&3 At the en$ !# the pr! ramme: Stu$ents are a+le t!3r! ramme Learnin Out'!me %O&M<, D!main 1. Appl& ;no<le%ge of mat9ematics! science s ! engineering fun%amentals an% an engineering specialiation to t9e solution of comple engineering prolems   %T&= En ineerin Kn!>le$ e 2. I%entif&! formulate! researc9 rele7ant literature an% anal&e comple engineering prolems! an% reac9ing sustantiate% conclusions using first principles of mat9ematics! natural sciences an% engineering science %T&= r!+lem Analysis . Design solutions! e9iiting inno7ati7eness! for comple engineering prolems an% %esign s&stems! components or processes t9at meet specifie% nee%s <it9 appropriate consi%eration for pulic 9ealt9 an% safet&! cultural! societal! economical! et9ical! en7ironmental an% sustainailit& issues . %A& Desi n/De)el!pment !# S!luti!ns +. Con%uct in7estigation into comple prolems! %ispla&ing creati7eness! using researc9#ase% ;no<le%ge! an% researc9 met9o%sinclu%ing %esign of eperiments! anal&sis an% interpretation of %ata! an% s&nt9esis of information to pro7i%e 7ali% conclusions =%D& In)esti ati!n ,. Create! select an% appl& appropriate tec9ni6ues! resources! an% mo%ern engineering an% IT tools! inclu%ing pre%iction an% M!$ern T!!l Usa e  mo%elling! to comple engineering acti7ities! <it9 an un%erstan%ing of t9e limitations   %A ? D& (. Appl& reasoning +ase$ !n  contetual ;no<le%ge to assess societal! 9ealt9! safet&! legal! cultural! contemporar& issues! an% t9e conse6uent responsiilities rele7ant to professional engineering  practices . %ESSE& The En ineer an$ S!'iety 4. >n%erstan% t9e impact of professional engineering solutions in societal! gloal! an% en7ironmental contets an% %emonstrate ;no<le%ge of an% nee% for sustainale %e7elopment @ %ESSE& En)ir!nment an$Sustaina+ility 3. Appl& professional et9ics <it9 Islamic 7alues an% commit to responsiilities an% norms of professional engineering co%e of  practices. %ESSE& Ethi's *.   Communicate effecti7el& on comple engineering acti7ities <it9 t9eengineering communit& an% <it9 societ& at large! suc9 as eing ale to compre9en% an% <rite effecti7e reports an% %esign %ocumentation! ma;e effecti7e presentations! an% gi7e an% recei7e clear instructions @ %S& C!mmuni'ati!n 1). Function effecti7el& as an in%i7i%ual! an% as a memer or lea%er in %i7erse teams an% in multi#%isciplinar& settings . %S& In$i)i$ual an$ Team 4!r2  11. 5ecognie t9e nee% for! an% 9a7e t9e preparation an% ailit& to engage in in%epen%ent an% life#long learning in t9e roa%est contet of tec9nological c9ange   %S& Li#e L!n Learnin 12. Demonstrate ;no<le%ge an% un%erstan%ing of engineering management an% financial principles an% appl& t9ese to one=s o<n <or;! as a memer an%/or lea%er in a team! to manage pro:ects in multi%isciplinar& settings! an% i%entif& opportunities of entrepreneurs9ip . %S& r!1e't Mana ement an$,inan'e T9e program learning outcomes -P@ are groupe% into , general areas to i%entif& t9e nature of t9e s;ills an% capailit& in7ol7e%. T9ese groups are'1.Tec9nical -T  essential capailities relate% to tra%itional scientific an% engineering ;no<le%ge2.Anal&sis -A  creati7el& <or;ing <it9 a7ailale %ata an% engineering tools an% fun%amental ;no<le%ge to correctl&sol7e asic prolem .Design -D  eing ale to percei7e t9e est solution for ot9 small scale an% large scale pro:ect & in7ol7ing allre6uire% asic prolems+.Et9ics! Safet&! Societ& an% En7ironment -ESSE # gi7ing appropriate consi%eration to matters pertaining to professionalism an% et9ics! safet&! local an% gloal societ& an% t9e en7ironment,.or; s;ills -S  eing an% effecti7e communicator an% effecti7e memer of a team an% to appreciate t9e nee% tocontinuousl& ac6uire% s;ills an% ailities.
We Need Your Support
Thank you for visiting our website and your interest in our free products and services. We are nonprofit website to share and download documents. To the running of this website, we need your help to support us.

Thanks to everyone for your continued support.

No, Thanks