Algebra Superior (Radct)

UNIVERSIDAD NACIONAL DE LA AMAZONIA PERUANA FACULTAD DE INDUSTRIAS ALIMENTARIAS ESCUELA DE FORMACIÓN PROFESIONAL DE INGENIERIA EN INDUSTRIAS ALIMENTARIAS DEPARTAMENTO ACADÉMICO DE INGENIERÍA DE ALIMENTOS

SILABO I. DATO DATOS S GEN GENER ERAL ALES ES.. I.1. I.&. I.+. I.,. I.0. I.). I./. I.7. I.8. I.8.

Asignatura C'(ig% Ti Ti$% Ci-!% Cr(it%s 2% 2%ras Pr"5r"6uisit% Dura-i'n D%-" D% -"nt nt""

: !g"#ra Su$"ri%r   : )1*1 : O#!igat%ri% : II  &**/ :0 : /3,T  +P4 : Ningun%. : 118 2%ras  1/ S"9anas. : Ing Ri-ar(% A#"! ("! Casti!!% T%rr"s.

II. SUMILLA. La asignatura (" !g"#ra Su$"ri%r ti"n" un ;a!%r (" 0 -r(it%s< s" ("sarr%!!a "n "! I Ci-!% (" "stu(i%s (" !a Fa-u!ta( (" In(ustrias A!i9"ntarias< "s una asignatura t"'ri-a =  $r>-ti-a 3,? @ T = +? @ P4 = n% ti"n" ti"n" ningn $r"5r"6uisit%. $r"5r"6uisit%. P%r 9"(i% (" "sta asignatura s" $r"t"n(" ("sarr%!!ar !a ?a#i!i(a( $ara 6u" "! a!u9n% %$"r"< r"su"!;a< si9$!iBi6u" = g"n"ra!i-" !as -u"sti%n"s r"B"r"nt"s a n9"r%s % "stu(i% (" Bun-i%n"s nu9ri-as. C%9$r"n(" !%s sigui"nt"s -%nt"ni(%s: Man"% (" C%nunt%s = sus a$!i-a-i%n"s Sist"9as Sist"9as (" "-ua-i%n "-ua-i%n"s "s !in"a!"s !in"a!"s " in"-ua-i in"-ua-i%n"s %n"s<< Matri-"s Matri-"s = D"t"r9ina D"t"r9inant"s nt"s "! "stu(i% "stu(i% "!"9"nta! (" Bun-i%n"s r"a!"s: gr>Bi-%s< %$"ra-i%n"s -%n Bun-i%n"s< ti$% (" Bun-i%n"s. Fun-i%n" Fun-i%n"ss trig%n%9 trig%n%9tri-as tri-as<< Bun-i%n" Bun-i%n"ss trig%n%9 trig%n%9tri-a tri-ass in;"rsas< in;"rsas< Bun-i'n Bun-i'n "$% "$%n"nn"n-ia!< ia!< Bun-i'n !%gart9i-a = G"%9"tra Ana!ti-a.

III. Competencias

ec!a S"9. *1

+

I". Conteni#os P(oce#imenta%es Actit$#ina%es Concept$a%es &Sa'e() &Sa'e( *ace() &Sa'e( Se() Pr"s"nta-i'n ("! -urs%. Distri#u-i'n ("! si!a#%. E;a!ua-i'n (" "ntra(a

D"sarr%!!% (" un "a9"n (" s%n("%.

Es-u-?a< -%9$r"n(" = r"s$"ta !as in(i-a-i%n"s ("! (%-"nt".

III. Competencias

ec!a

C%n%-" !%s -%n-"$t%s S"9. *1 Bun(a9"nta!"s (" !a 9at"9>ti-a = !%s -%nunt%s< uti!i>n(%!%s -%9% ?"rra9i"ntas $ara -%9$arar = r"s%!;"r $r%#!"9as nu9ri-%s.

O$"ra = r"su"!;" S"9. *&  *0 %$"ra-i%n"s a!g"#rai-as ti!"s $ara "stu(i%s (" ing"ni"ra uti!ian(% $ara "!!% "-ua-i%n"s< in"-ua-i%n"s< 9atri-"s = ("t"r9inant"s.

Si9$!iBi-a = g"n"ra!ia S"9. *)  11 -u"sti%n"s r"B"r"nt"s a n9"r%s % "stu(i% (" Bun-i%n"s nu9ri-as< usa "! !g"#ra -%9% instru9"nt% ("(u-ti;% rigur%s% = !% a$!i-a a 9!ti$!"s ra9as (" !a -i"n-ia = !a ing"ni"ra.

I". Conteni#os P(oce#imenta%es Actit$#ina%es Concept$a%es &Sa'e() &Sa'e( *ace() &Sa'e( Se() I. Teo(,a #e Con-$ntos

D"sarr%!!a -%n Int"r;i"n" "n !a ("str"a< ""r-i-i%s  #u"na 9ar-?a (" C%nunt%s = "!"9"nt%. "n B%r9a in(i;i(ua! !a asignatura. P"rt"n"n-ia = n% $"rt"n"n-ia. % gru$a!. D"t"r9ina-i'n (" -%nunt%s. N C%ntri#u=" = (" E!"9"nt%s. C%nunt%s  $arti-i$a "s$"-ia!"s. C%nunt% uni;"rsa!. a-ti;a9"nt" "n R"!a-i'n "ntr" -%nunt%s. !%s t"9as a tratar. In-!usi'n (" -%nunt%s. Int"rs"--i'n (" -%nunt%s. Es r"s$"tu%s% R"uni'n (" -%nunt%s. -%n sus DiB"r"n-ia (" -%nunt%s. -%9$a"r%s< E"r-i-i%s (" a$!i-a-i'n. (%-"nt"s = %tr%s tra#aa(%r"s (" !a H E;a!ua-i'n Par-ia! institu-i'n. -%n Int"r;i"n" "n !a II. Ec$aciones Inec$aciones D"sarr%!!a ("str"a< ""r-i-i%s  #u"na 9ar-?a (" Mat(ices / Dete(minantes "n B%r9a in(i;i(ua! !a asignatura. E-ua-i%n"s " in"-ua-i%n"s. % gru$a!. E"r-i-i%s (" a$!i-a-i'n. C%ntri#u=" = Matri-"s< ("Bini-i'n.  $arti-i$a D"t"r9inant"s< ("Bini-i'n< a-ti;a9"nt" "n 'r("n"s (" !as ("t"r9inant"s< !%s t"9as a tratar. r"g!a (" sarr%s< 9"n%r"s -%9$!"9"ntari%s< $r%$i"(a("s = Es r"s$"tu%s% E"r-i-i%s -%n sus -%9$a"r%s< H E;a!ua-i'n Par-ia! (%-"nt"s = %tr%s tra#aa(%r"s (" !a institu-i'n. D"sarr%!!a -%n Int"r;i"n" "n !a III. 0%1e'(a / $nciones ("str"a< ""r-i-i%s  #u"na 9ar-?a (" Intr%(u--i'n a! !g"#ra. T"%ra "n B%r9a in(i;i(ua! !a asignatura. (" E$%n"nt"s. Estu(i% % gru$a!. "!"9"nta! (" Bun-i%n"s r"a!"s: C%ntri#u=" = (%9ini% = rang%< a$!i-a-i%n"s<  $arti-i$a gr>Bi-as< !g"#ra (" Fun-i%n"s. a-ti;a9"nt" "n O$"ra-i%n"s -%n Fun-i%n"s. !%s t"9as a tratar. Fun-i'n Lin"a!< Fun-i'n Cua(r>ti-a< Fun-i'n Es r"s$"tu%s% E$%n"n-ia! = Fun-i'n -%n sus L%gart9i-a. Gr>Bi-as. -%9$a"r%s< Fun-i%n"s Trig%n%9tri-as: (%-"nt"s = %tr%s ("Bini-i%n"s< Fun-i%n"s tra#aa(%r"s (" !a Trig%n%9tri-as In;"rsas. institu-i'n. Si9#%!%ga = Gr>Bi-as. E"r-i-i%s. H E;a!ua-i'n Par-ia!

III. Competencias

ec!a

C%n%-" = -%9$r"n(" "! us% S"9. 1& 5 1/ (" !a g"%9"tra ana!ti-a -%9% #as" i9$%rtant" $ara -%ntinuar sus "stu(i%s "n !as asignaturas $%st"ri%r"s.

S"9. 1/

+

I". Conteni#os P(oce#imenta%es Actit$#ina%es Concept$a%es &Sa'e() &Sa'e( *ace() &Sa'e( Se() I". Geomet(,a Ana%,tica

D"sarr%!!a -%n Int"r;i"n" "n !a ("str"a< ""r-i-i%s  #u"na 9ar-?a (" La !n"a r"-ta. P%si-i'n (" un "n B%r9a in(i;i(ua! !a asignatura.  $unt% "n "! $!an%< (istan-ia % gru$a!. "ntr" (%s $unt%s ("! $!an%< C%ntri#u=" =  $unt% 9"(i% (" un s"g9"nt%<  $arti-i$a  $"n(i"nt"< "-ua-i'n (" !a r"-ta< a-ti;a9"nt" "n r"-tas $ara!"!as< r"-tas !%s t"9as a tratar.  $"r$"n(i-u!ar"s< (istan-ia "ntr" un $unt% = una r"-ta ("! $!an%. Es r"s$"tu%s% La Cir-unB"r"n-ia. D"Bini-i'n = -%n sus "!"9"nt%s< "-ua-i'n %r(inaria< -%9$a"r%s< "-ua-i'n -an'ni-a< "-ua-i'n (%-"nt"s = %tr%s g"n"ra!. tra#aa(%r"s !a La Par>#%!a. D"Bini-i'n = institu-i'n. "!"9"nt%s< "-ua-i'n -an'ni-a< !%ngitu( ("! !a(% r"-t%< "-ua-i'n %r(inaria = "-ua-i'n g"n"ra! (" !a $ar>#%!a. La E!i$s". D"Bini-i'n = "!"9"nt%s< "-"ntri-i(a(< "-ua-i'n -an'ni-a< !%ngitu( ("! !a(% r"-t%< "-ua-i'n %r(inaria = g"n"ra! (" !a "!i$s". La 2i$r#%!a. D"Bini-i'n = "!"9"nt%s< "-"ntri-i(a(< "-ua-i'n -an'ni-a< "-ua-i'n (" !as asnt%tas< "-ua-i'n %r(inaria = g"n"ra! (" !a ?i$r#%!a. Intr%(u--i'n a! C>!-u!% DiB"r"n-ia!: L9it"s = C%ntinui(a(< D"ri;a(a = DiB"r"n-ia-i'n. H E;a!ua-i'n Par-ia! E;a!ua-i'n (" Sa!i(a

D"sarr%!!a  $r%#!"9as a$!i-ati;%s.

Cu9$!" "n B%r9a in(i;i(ua! = r"s$%nsa#!" su ";a!ua-i'n.

". METODOLOGÍA. EnB%6u" Mt%(%s Pr%-"(i9i"nt%s T-ni-as Mat"ria!"s E(u-ati;%s:

: La asignatura s" ("sarr%!!ar> a$!i-an(% "! "nB%6u" -%nstru-ti;ista. : Ana!ti-%  Sintti-%. : Sn-r"sis< An>!isis< Snt"sis. : Tra#a% In(i;i(ua!< Tra#a% Gru$a!< E$%si-i'n< Di>!%g%. Li#r%s< s"$aratas< s%!u-i%nari%s.

"I. E"ALUACI2N. La ";a!ua-i'n "s (" -ar>-t"r sist"9>ti-% -%9$r"n(" tr"s "ta$as: "ntra(a< $r%-"s% = sa!i(a. E;a!ua-i'n (" Entra(a.5 C%nstitu=" !a r"B"r"n-ia ("! ni;"! (" -%gn%s-iti;% (" !%s a!u9n%s a! ini-iar !a asignatura = n% "s -%nsi("ra(a $ara "B"-t%s (" !a %#t"n-i'n ("! $r%9"(i% Bina!. E;a!ua-i'n (" Pr%-"s%.5 Es !a ";a!ua-i'n 6u" s" r"a!ia (urant" "! ("sarr%!!% (" !a asignatura = -%9$r"n(" !a a$!i-a-i'n (" !%s sigui"nt"s $r%-"(i9i"nt%s (" ";a!ua-i'n:

−

Pr"s"nta-i'n = r"(a--i'n (" tra#a%s "n-arga(%s

−

D"B"nsa (" tra#a%s "n-arga(%s

−

Pr%9"(i% (" ">9"n"s $ar-ia!"s

−

Parti-i$a-i'n %ra!

10J &0J 0*J 1*J −

 N%ta

1**J E;a!ua-i'n (" Sa!i(a.5 Es a6u"!!a 6u" s" r"a!ia a! Bina! ("! s"9"str" a-a(9i-% -%n !%s a!u9n%s 6u" n% -%nsigan n%ta a$r%#at%ria "n !a E;a!ua-i'n (" Pr%-"s%< = -%9$r"n(" !a a$!i-a-i'n (" una $ru"#a 3Ea9"n Fina!4 6u" -%9$r"n("r> !a t%ta!i(a( ("! -urs%< $r";ia9"nt" (istri#ui(% "n , $art"s< (" 9%(% 6u" !a $ru"#a a#ar-ar> !a sigui"nt" (istri#u-i'n: • • • •

1K Part" &K Part" +K Part" ,K Part"

1*J &*J +*J ,*J

Para "B"-t%s (" %#t"n-i'n ("! $r%9"(i% Bina! !a n%ta ("! Ea9"n Fina! r"$r"s"ntar> "! ,*J = "! $r%9"(i% (" !a ";a!ua-i'n (" $r%-"s% "! )*J. E>9"n"s (" R"-u$"ra-i'n.5 Durant" "! s"9"str"< = (" a-u"r(% -%n !as n"-"si(a("s (" !%s "stu(iant"s< "! (%-"nt" $u"(" a$!i-ar ">9"n"s (" r"-u$"ra-i'n 6u" n% ti"n"n -ar>-t"r sustitut%ri%. La n%ta (" "st" "a9"n s" ("#" $r%9"(iar -%n "! ("! "a9"n ("sa$r%#a(%< si"9$r" = -uan(% !a n%ta ("! "a9"n (" r"-u$"ra-i'n s"a 9a=%r 6u" !a 6u" "st> si"n(% r"-u$"ra(a.

Esca%a #e Ca%i3icaci4n .5 Las -a!iBi-a-i%n"s s%n (" * a ;"int" 3*  &*4. La n%ta a$r%#at%ria "s (" 11 a &*< si"n(% $ara "B"-t%s (" n%ta Bina!< !%s -%n-"$t%s "ntr" 1*<0* = 1*<88 s%n r"(%n("a(%s a 11. In-u9$!i9i"nt% (" !as E;a!ua-i%n"s.5 E! a!u9n% "st> %#!iga(% a $r"s"ntars" a t%(as !as ";a!ua-i%n"s  $r%gra9a(as "n "! ("sarr%!!% ("! -urs%. Su in-u9$!i9i"nt% s" !a -a!iBi-ar> -%n !a n%ta 9ni9a (" -"r% 3**4. E! a!u9n% 6u" n% s" $r"s"nt" a una % 9>s ";a!ua-i%n"s $r%gra9a(as $%r "! (%-"nt" s" su"tar> a !as n%r9as sigui"nt"s: a4 Pr"s"ntar s%!i-itu( (irigi(a a! Dir"-t%r (" !a Es-u"!a (" F%r9a-i'n Pr%B"si%na!< in9"(iata9"nt" ("  $r%(u-i(a su r"in-%r$%ra-i'n a -!as"s< Bun(a9"ntan(% su in-u9$!i9i"nt% $%r ra%n"s (" sa!u( u %tr%s 9%ti;%s (" Bu"ra 9a=%r ("#"r> a(untar a !a s%!i-itu( "! (%-u9"nt% ustiBi-at%ri% $ara su -%9$r%#a-i'n r"s$"-ti;a.  #4 E! Dir"-t%r (" !a Es-u"!a (" F%r9a-i'n Pr%B"si%na!< inB%r9ar> a! int"r"sa(% "n un $!a% 6u" n% "-"("r> (" -uar"nta = %-?% 3,74 ?%ras s%#r" !a $r%-"("n-ia % n% (" !% s%!i-ita(%< = aut%riar> su in-u9$!i9i"nt% $%r "s-rit% a! (%-"nt" (" !a asignatura.

"II.

REERENCIAS BIBLIOGR0ICAS o o o o o o o o o o o o

ARES< F. 318)84. T"%ra = Pr%#!"9as (" Bun(a9"nt%s (" Mat"9>ti-as Su$"ri%r"s. Mi-%. ALVIN< F. 3&***4. S"ri" (" Pr%#!"9as S"!"-t%s (" !g"#ra. Li9a  P"r. ARNETT< R. 318714. !g"#ra E!"9"nta! M%("rna. T"%ra = Pr%#!"9as R"su"!t%s. Mi-%. CARRILLO< F. 3&***4. Mat"9>ti-as III. T"%ra = Pr>-ti-a. Li9a  P"r COLECCIONES SIGLO I. 3&**&4. !g"#ra. E(. San Mar-%s. Li9a  P"r ESPINOZA< E. 3&**+4. G"%9"tra Ana!ti-a P!ana. &(a E(i-i'n. Li9a  P"r. LE2MANN< C. 3&**14. G"%9"tra Ana!ti-a. E(. A9"ri-ana. Li9a  P"r. RAMOS< L. 3&**&4. Pr%#!"9as (" !g"#ra = -'9% r"s%!;"r!%s. C%!"--i'n Ra-s%. P"r. RICRA< D. 3&**&4. Trig%n%9"tra. E(. M%s6u"ra. Li9a  P"r. RUIO< . 318)84. !g"#ra< Ini-ia-i'n a !a Mat"9>ti-a Su$"ri%r. Li9a  P"r. SAOL C. 3&***4. Pr%#!"9as (" >si-a I. E(. G'9". P"r. SMIT2< S. 318874. !g"#ra< Trig%n%9"tra = G"%9"tra Ana!ti-a. Mi-%.

I6uit%s< "n"r% ("! &**7