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Syllabus for Civil Engineering (CE)

ENGINEERING MATHEMATICS

Linear Algebra: Matri algebra! Syste"s of linear e#uations! Eigenvalues an$ eigenve%tors&

Cal%ulus: 'un%tions of single variable! Li"it! %ontinuity an$$ifferentiability! Mean value t eore"s! Evaluation of $efinite an$i" ro er integrals! *artial $erivatives! Total $erivative! Ma i"a an$"ini"a! Gra$ient! +ivergen%e an$ Curl! ,e%tor i$entities! +ire%tional$erivatives! Line! Surfa%e an$ ,olu"e integrals! Sto-es! Gauss an$

Green.s t eore"s&

+ifferential e#uations: 'irst or$er e#uations (linear an$ nonlinear)!Hig er or$er linear $ifferential e#uations /it %onstant %oeffi%ients!Cau% y.s an$ Euler.s e#uations! Initial an$ boun$ary value roble"s!La la%e transfor"s! Solutions of one $i"ensional eat an$ /avee#uations an$ La la%e e#uation&

Co" le variables: Analyti% fun%tions! Cau% y.s integral t eore"!Taylor an$ Laurent series&

*robability an$ Statisti%s: +efinitions of robability an$ sa" lingt eore"s! Con$itional robability! Mean! "e$ian! "o$e an$ stan$ar$$eviation! Ran$o" variables! *oisson! Nor"al an$ 0ino"ial

$istributions&

Nu"eri%al Met o$s: Nu"eri%al solutions of linear an$ non1linearalgebrai% e#uations Integration by tra e2oi$al an$ Si" son.s rule!single an$ "ulti1ste "et o$s for $ifferential e#uations&

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STR3CT3RAL ENGINEERING

Me% ani%s: 0en$ing "o"ent an$ s ear for%e in stati%ally $eter"inate

bea"s& Si" le stress an$ strain relations i : Stress an$ strain in t/o$i"ensions! rin%i al stresses! stress transfor"ation! Mo r.s %ir%le&Si" le ben$ing t eory! fle ural an$ s ear stresses! unsy""etri%alben$ing! s ear %entre& T in /alle$ ressure vessels! unifor" torsion!bu%-ling of %olu"n! %o"bine$ an$ $ire%t ben$ing stresses&

Stru%tural Analysis: Analysis of stati%ally $eter"inate trusses! ar% es!

bea"s! %ables an$ fra"es! $is la%e"ents in stati%ally $eter"inatestru%tures an$ analysis of stati%ally in$eter"inate stru%tures by for%e4energy "et o$s! analysis by $is la%e"ent "et o$s (slo e $efle%tionan$ "o"ent $istribution "et o$s)! influen%e lines for $eter"inatean$ in$eter"inate stru%tures& 0asi% %on%e ts of "atri "et o$s ofstru%tural analysis&

Con%rete Stru%tures: Con%rete Te% nology1 ro erties of %on%rete!basi%s of "i $esign& Con%rete $esign1 basi% /or-ing stress an$ li"itstate $esign %on%e ts! analysis of ulti"ate loa$ %a a%ity an$ $esignof "e"bers sub5e%te$ to fle ure! s ear! %o" ression an$ torsion byli"it state "et o$s& 0asi% ele"ents of restresse$ %on%rete! analysisof bea" se%tions at transfer an$ servi%e loa$s&

Steel Stru%tures: Analysis an$ $esign of tension an$ %o" ression

"e"bers! bea"s an$ bea"1 %olu"ns! %olu"n bases& Conne%tions1si" le an$ e%%entri%! bea"6%olu"n %onne%tions! late gir$ers an$trusses& *lasti% analysis of bea"s an$ fra"es&

GE7TECHNICAL ENGINEERING

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Soil Me% ani%s: 7rigin of soils! soil %lassifi%ation! t ree1 asesyste"! fun$a"ental $efinitions! relations i an$ interrelations i s!er"eability 8see age! effe%tive stress rin%i le! %onsoli$ation!%o" a%tion! s ear strengt &

'oun$ation Engineering: Sub1surfa%e investigations1 s%o e! $rillingbore oles! sa" ling! enetration tests! late loa$ test& Eartressure t eories! effe%t of /ater table! layere$ soils& Stability ofslo es1infinite slo es! finite slo es& 'oun$ation ty es1foun$ation$esign re#uire"ents& S allo/ foun$ations1bearing %a a%ity! effe%t ofs a e! /ater table an$ ot er fa%tors! stress $istribution! settle"ent

analysis in san$s 8 %lays& +ee foun$ations6 ile ty es! $yna"i% 8stati% for"ulae! loa$ %a a%ity of iles in san$s 8 %lays! negative s-infri%tion&

9ATER RES73RCES ENGINEERING

'lui$ Me% ani%s an$ Hy$rauli%s: *ro erties of flui$s! rin%i le of%onservation of "ass! "o"entu"! energy an$ %orres on$ing

e#uations! otential flo/! a li%ations of "o"entu" an$ 0ernoulli.se#uation! la"inar an$ turbulent flo/! flo/ in i es! i e net/or-s&Con%e t of boun$ary layer an$ its gro/t & 3nifor" flo/! %riti%al flo/an$ gra$ually varie$ flo/ in % annels! s e%ifi% energy %on%e t!y$rauli% 5u" & 'or%es on i""erse$ bo$ies! flo/ "easure"ents in% annels! tan-s an$ i es& +i"ensional analysis an$ y$rauli%"o$eling& ine"ati%s of flo/! velo%ity triangles an$ s e%ifi% s ee$ ofu" s an$ turbines&

Hy$rology: Hy$rologi% %y%le! rainfall! eva oration! infiltration! stage$is% arge relations i s! unit y$rogra s! floo$ esti"ation! reservoir%a a%ity! reservoir an$ % annel routing& 9ell y$rauli%s&

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Irrigation: +uty! $elta! esti"ation of eva o1trans iration& Cro /aterre#uire"ents& +esign of: line$ an$ unline$ %anals! /ater/ays! ea$

/or-s! gravity $a"s an$ s ill/ays& +esign of /eirs on er"eablefoun$ation& Ty es of irrigation syste"! irrigation "et o$s& 9ater

logging an$ $rainage! so$i% soils&

EN,IR7NMENTAL ENGINEERING

9ater re#uire"ents: ;uality stan$ar$s! basi% unit ro%esses an$o erations for /ater treat"ent& +rin-ing /ater stan$ar$s! /aterre#uire"ents! basi% unit o erations an$ unit ro%esses for surfa%e

/ater treat"ent! $istribution of /ater& Se/age an$ se/eragetreat"ent! #uantity an$ % ara%teristi%s of /aste/ater& *ri"ary!se%on$ary an$ tertiary treat"ent of /aste/ater! slu$ge $is osal!effluent $is% arge stan$ar$s& +o"esti% /aste/ater treat"ent!#uantity of % ara%teristi%s of $o"esti% /aste/ater! ri"ary an$se%on$ary treat"ent 3nit o erations an$ unit ro%esses of $o"esti%

/aste/ater! slu$ge $is osal&

Air *ollution: Ty es of ollutants! t eir sour%es an$ i" a%ts! airollution "eteorology! air ollution %ontrol! air #uality stan$ar$s an$li"its&

Muni%i al Soli$ 9astes: C ara%teristi%s! generation! %olle%tion an$trans ortation of soli$ /astes! engineere$ syste"s for soli$ /aste"anage"ent (reuse4 re%y%le! energy re%overy! treat"ent an$

$is osal)&

Noise *ollution: I" a%ts of noise! er"issible li"its of noise ollution!"easure"ent of noise an$ %ontrol of noise ollution&

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TRANS*7RTATI7N ENGINEERING

Hig /ay *lanning: Geo"etri% $esign of ig /ays! testing an$s e%ifi%ations of aving "aterials! $esign of fle ible an$ rigi$

ave"ents&

Traffi% Engineering: Traffi% % ara%teristi%s! t eory of traffi% flo/!interse%tion $esign! traffi% signs an$ signal $esign! ig /ay %a a%ity&

S3R,E