GUIA PARTE 2 Complementos Matematicos-curso14-15

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M ÁSTER EN INGENIERÍA INDUSTRIAL

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1.2. Contenidos

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7B4 K46 8GLB156452 ?632 L1T75876X 7B4 8D263 845K858A63 I A83K6F23 3K?I6724523 I DB4D2 23 8GL123784D8?F2 2F K3B D2 3BQ5Y612 L616 A83K6F8V61 2F 38M48Q876DB D2 FB3 7B472L5B3 7B4 FB3 RK2 32 516?6@6 I 3K 38M48Q876DB; %352 32 LB42 D2 G648Q8235B 24 F6 D83518?K7894 D2 F6 4B56 Q846F D2 F6 638M465K16; 0B1 23BX 23 7BGLF256G2452 42723618B RK2 2F 235KD8B 32 ?632 4B 39FB 24 F275K16 D2 F6 52B1S6 I D2 2@2GLFB3 I 123BFK7894 D2 2@217878B3 3B?12 K4 L6L2FX 384B 24 2F K3B 7638 7B4584K6DB D2F B1D246DB1; (2451B D2 2352 G617BX 2F K3B D2F 7K13B A815K6F 23 8GL123784D8?F2 7BGB 6LBIB 6F 235KD8B; %4 [FX 32 LF645264 I 123K2FA24 DKD63X ^6I G652186F23 237185B3X D2 3BQ5Y612 B Q87^21B \7B4351KI24DB K46 12D D2 84QB1G67894 RK2 7B438D216GB3 D2 84521[3]X 6KD8BA83K6F L616 2F 235KD8B D2 FB3 7B45248DB3X 32 LK2D2 LB421 24 7B45675B 7B4 235KD864523 D2 2356 638M465K16 RK2 LK2D24 6IKD61F2 6 521G8461 2356 56126 7B4 [`85BX 2F 2RK8LB DB72452 LK2D2 7B4AB761 Y2?7B4Q21247863 L616 516561 6FMK4B3 7B45248DB3X ^6I L1K2?63 D2 6K5B2A6FK67894 I D2 2A6FK67894 7B4584K6X ^6I G652186F 6D878B46FX 257; %3X LB1 5645BX 32Ma4 4K2351B GBD2FB D2 638M465K16X L6152 GT3 RK2 8GL123784D8?F2 I 384 F6 7K6F 4B LBD1S6GB3 D23611BFF61 4K23516 F6?B1 DB72452; =K376GB3 7B4 2F 7K13B A815K6F 5645B K46 6K5B4BGS6 D2F 6L124D8V6@2X 6D6L56D6 6F 185GB L213B46F RK2 76D6 K4B 32 G61RK2X 7BGB 6 F6 7B4351K77894 D2 K4 23L678B DB4D2X D2451B D2F 123L25B 6 2356 6K5B4BGS6X 32 247K245124 127K13B3 RK2 6LBI24 24 F6 638G8F67894 D2 FB3 7B45248DB3;

2.3.-Desarrollo de contenidos de la asignatura +6?2 L12MK45614B3 38 ^6I K4 G[5BDB 23L27SQ87B L616 2F 235KD8B D2 2356 638M465K16; -6 123LK2356 23 4B; !46 L6152 D2F G[5BDB D2 516?6@B 23 7BGa4 6F D2 7K6FRK821 638M465K16 D2 +8247863 I 32 ?636 24 DB3 L8F6123; 0B1 K4 F6DBX 23 QK4D6G2456F 52421 FB3 7B472L5B3 7F61B3_ 38 235B 4B 32 7B438MK2 L616 6FMa4 7B472L5B 24 K46 L18G216 6L1B`8G67894X 23 7B4A2482452 D2@61FB 12LB361 L616 LB35218B1G2452 32MK81 843835824DB 24 [F 64523 D2 L6361 6F 38MK82452; ,51B L8F61 23 F6 6LF8767894 7B112756 D2 F6 F9M876 I D2 ^2116G824563 D2DK758A63_ F6 L21Q2756 D835847894 24512 52383X ^8L952383 I 2F K3B D2F 16VB46G8245B 4B3 L21G8524 7B432MK81 2F B?@258AB D2 B?52421 123KF56DB3 7B11275B3; )D2GT3 D2 52421 A6FB1 24 3S G83GB3X GK7^63 A2723X A64 6 52421 6LF8767894 D812756 24 B5163 G6521863 123BFA824DB L1B?F2G63 RK2 24 6L61824786 4B 582424 46D6 RK2 A21 7B4 2356 638M465K16; 0616 235KD861 2356 638M465K16 127BG24D6GB3 ^6721FB 382GL12 7B4 -;9+D B 9$9'- X 64B564DB FB RK2 32 A6I6 F2I24DBX F63 DKD63 RK2 A6I64 3K1M824DB \L616 LF645261F63 24 2F 7K13B] I 126F8V64DB FB3 2@217878B3 L213B46FG2452; )K4RK2 4B3 LK2D6 L612721 K46 L[1D8D6 D2 582GLBX 6 F6 F61M6 23 K46 M6464786X LB1RK2 63S FB3 7B472L5B3 I F63 8D263 FB3 127B1D612GB3 G2@B1 I DK16452 GT3 582GLB; 021B 56G?8[4 127BG24D6GB3 ^6721FB 7B4 K4 B1D246DB1X 12L12324564DB 2@2GLFB3X L2436DB RK[ B7K112 38 6FMB QK216 D2 B516 QB1G6 IX 7B4 6IKD6 D2F B1D246DB1X 7BGL1B?61 RK[ B7K112; %F G642@B D2 3BQ5Y612 23L27SQ87B L616 235B3 7B45248DB3 4B3 A6 6 6IKD61 6 D23611BFF61 F6 845K87894X 6 7BGL124D21 7B472L5B3X 6 A83K6F8V61 I 6 638G8F61 D2 QB1G6 2Q2758A6 FB3 7B45248DB3 7B4 FB3 RK2 516?6@612GB3; %F 235KD8B D2 F6 638M465K16 32 ?636 24 2F 235KD8B D2 F6 ?8?F8BM16QS6 ?T3876 I D2 FB3 G652186F23 L1BLB178B46DB3 24 2F 7K13B A815K6FX L12Q218?F2G2452 6LBI6D6 LB1 5K5B1S63X I6 3264 L12324786F23 B A815K6F23; %F LF64 D2 516?6@B I6 235T D256FF6DB 24 2F LK45B 645218B1; 021B 23 7B4A2482452X 7K64DB 32 ^6 235KD86DB K4 52G6 I 64523 D2 ^6721 F6 L1K2?6 D2 6K5B2A6FK67894X ^6721 2@217878B3 D2 B51B F8?1B DB4D2 A24M64 123K2F5B3X L616 6DRK8181 D23512V6 24 F6 123BFK7894 D2 235B3 L1B?F2G63;


"B 32 ^6 Q8@6DB 7BGB 2351652M86 D2F 6L124D8V6@2 F6 G2GB18V67894 D2 FB3 D835845B3 52G63; 0B1 2F 7B451618BX F6 F275K16 G84K78B36 I 7BGL12438A6 D2F G652186F I F6 2F6?B167894 D2 7K6D1B3X 123aG2423 I 4B563 67F6165B1863 126F8V6D63 LB1 K4B G83GBX 63S 7BGB 2F 516?6@B 7B4 B1D246DB1X 4B3 7B4DK72 6 F6 6D27K6D6 638G8F67894 D2 FB3 7B472L5B3 384 127K1181 6 K4 235[18F 23QK21VB G2GB1S3587B; 08D6 6IKD6 6F 2RK8LB DB72452 B 6F L1BQ23B1<5K5B1 L616 123BFA21 F63 DKD63; &27K21D2 RK2 38 FB ^672 6 516A[3 D2F 7K13B A815K6FX D2?2 23718?81 24 2F QB1B 7B1123LB4D82452 6 76D6 G9DKFB; )K4RK2 FB3 2`TG2423 3B4 2G842452G2452 L1T7587B3X 4B LB1 2FFB D2?2 D2@6132 D2 F6DB 2F 235KD8B D2 FB3 fundamentos teóricos. No se trata de tener “recetas” para resolver situaciones, sino de crear una base

G652GT5876 RK2 4B3 L21G8581T 24Q1245614B3 6 LF64526G8245B3 7BGLF2@B3 24 FB3 RK2 32 524M6 RK2 D278D81 24512 F6 K58F8V67894 D2 K4 G[5BDB K B51B I LK2D6 61MKG24561 3K D2783894 123L275B 6F G[5BDB 2F2M8DB;

2.4.-Bibliografía básica %35T QB1G6D6 LB1 127K13B3 2F27519487B3 I G652186F 237185B \24 76352FF64B B 84MF[3] D83LB48?F2 24 84521425 B 24 2F 7K13B A815K6F; ) 7B4584K67894 F8356GB3 2352 G652186FX 84D8764DB L616 RK[ 52G63 B 32778B423 3B4 42723618B3; i:j J6184X bX CkkCX +K1A23 64D 3K1Q6723 QB1 +)b(X %DX; HB1M64 l6KQG644 0K?F83^213; '2 recomienda el capítulo 1, “P. Bèzier: How a simple System was born”. %352 /2`5B 32 LK2D2 7B43KF561 B4F842 i+B43KF56O CmnkNnCk:Nj 24 ^55LOnnYYY;3782472D81275;7BGn3782472n?BBonphm:PPmfkhEhm; iCj J6184X b;_ qB37^2oX >;_ l8GX H;<'; _ CkkC; q64D?BBo BQ +BGLK521 )8D2D b2BG25187 (238M4; %D; "B15^ qBFF64D; Se utiliza el Capítulo 1, de G. Farin, titulado “A History of Curves and Surfaces in CAGD” epígrafes 1 a 5.

'2 LK2D2 7B43KF561 2F DB7KG245B LDQ D2 2352 615S7KFB 24 F6 LTM846 Y2? D2 b216FD J6184O ^55LOnnYYY;Q6184^643QB1D;7BGnM216FDn36GLF2LK?3;^5GFX 7B43KF56DB 2F Cp D2 @K48B D2 Ck:N; iEj J1647BX (;_ b8FX %;_ Ckkp; H64K6F =T387B D2 :$>+8$ ; (83LB48?F2 24 2F 7K13B A815K6FX D8QK4D8DB ?6@B K46 F8724786 +12658A2 +BGGB43; iNj b8FX %;_ qK21M6X -;_ Ck:N; )LK4523 D2 +BGLF2G245B3 H652GT587B3 D2 F6 #4M24821S6 #4DK35186F; (83LB48?F2 24 2F 7K13B A815K6FX D8QK4D8DB ?6@B K46 F8724786 +12658A2 +BGGB43; iPj $6FD[3X );_ Ck:N; "B563 D2 b2BG251S6 D8Q2124786F 7B4 6LF87678B423; (83LB48?F2 24 ^55LOnnYYY;G65;K7G;23nr6A6FD23nb();LDQ \7B43KF56DB 2F Cp D2 @K48B D2 Ck:N]X D8QK4D8DB ?6@B K46 F8724786 +12658A2 +BGGB43;

2.5. Bibliografía complementaria

+BGB 2@2GLFBX 7856GB3 6FMK4B3 F8?1B3 RK2 32 LK2D24 7B43KF561 7BGB ?8?F8BM16QS6 7BGLF2G2456186; 

E? F+9)6G"*D? !',8'*1#$ @+A'1'06+$-? :6!1$HIJ+--K LMML? %356 23 F6 A213894 24 76352FF64B D2F 52`5B

84D876DB; %3 D2 F6 32182 '7^6KGX 7B458242 K4 23RK2G6 L18478L6FG2452 529187B D2 123KF56DB3 K58F8V6DB3 I M164 76458D6D D2 FB3 2@2GLFB3 I 2@217878B3X 6K4RK2 3K 3BFK7894 4B 382GL12 235T 847FK8D6;

NOMBRE DE LA ASIGNATURA 

F? N,&1#/"'D :$1#0? .89-+$6+C0 &' 7;-6"-,K 91+8'1$ 9$1*'? OP(@K QRRS? %4 2352 52`5B 32 D23611BFF64 FB3

7B45248DB3 D2 M2BG251S6 D8Q2124786FX L21B 6D2GT3 847FKI2 52G63 12F658AB3 6 QK478B423 D2 A61863 A6186?F23 RK2 LK2D24 321 a58F23 L616 12L6361 7B4B78G8245B3 L12A8B3; 

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24 F6 D81277894 ^55LOnnYYY;KM1;23nr6F6G84B3n123BK1723n)LK4523nL16758763uD2uB1D246DB1u7B4u :$>+8$;LDQ; %352 DB7KG245B 2`LF876 F63 L18478L6F23 QK478B46F8D6D23 D2 :$>+8$ I 6D2GT3 7B458242 2@217878B3 L616 126F8V61 24 2F B1D246DB1; Y$1+0K !'1$-& (? 7"1W') $0& )"1A$6') A,1 6,89"*'1 $+&'& /',8'*1+6 &')+/0 Z $ 91$6*+6$- /"+&' i24 FS426j; P5^ 2D; '64 J1647837BO HB1M64 l6KQG644X CkkC #'=" :PPmfkhEhN; %352 /2`5BX RK2 32 LK2D2 7B43KF561 B4F842 i+B43KF56O CmnkNnCk:Nj 24 ^55LOnnYYY;3782472D81275;7BGn3782472n?BBonphm:PPmfkhEhmX 235T D2D876DB 6 F6 M2BG251S6 7BGLK5678B46F;

['1/K :? &' U 7G',0/K \?U ]1'W'-& :? W$0 \W'18$1) :?U 7,89"*$*+,0$- !',8'*1BZ .-/,1+*G8) $0& .99-+6$*+,0); 'L184M21<$21F6M; /^81D 2D; "2Y vB1oX !'); #'="O NCOP,;B:CCNC,;

)D2GT3 D2 FB3 52`5B3 6118?6 7856DB3X F8?1B3 D2 b2BG251S6 D8Q2124786F I D2 b2BG251S6 7BGLK5678B46F 321T4 D2 M164 K58F8D6D; )3S G83GBX 127BG24D6GB3 7B43KF561 38 QK216 42723618B 6FMa4 G64K6F D2 :$>+8$ X 7BGB FB3 RK2 32 LK2D24 247B45161 24 F6 LTM846 Y2? D2 3BK172QB1M2 \24 6?18F D2 Ck:EO ^55LOnn:$>+8$;3BK172QB1M2;425n23n];

3.- ORIENTACIONES PARA LA REALIZACIÓN DEL PLAN DE ACTIVIDADES 3.1. Metodología docente -6 G25BDBFBMS6 RK2 K58F8V612GB3 23 F6 M24216F D2 F6 !"%(X ?636D6 24 K46 2DK767894 6 D83564786 6LBI6D6 LB1 2F K3B D2 5274BFBMS63 D2 F6 84QB1G67894 I 2F 7B4B78G8245B; %F 235KD86452 7B4561T 7B4 2F 6LBIB D2 K46 MKS6 D2 235KD8B RK2 2`LF876 24 D256FF2 2F LF64 D2 516?6@B L1BLK235B L616 F6 638M465K16 I L1BLB178B46 B18245678B423 3B?12 2F 235KD8B I F63 6758A8D6D23 RK2 D2?2 126F8V61; %4 236 MKS6 247B45161T 84QB1G67894 3B?12 79GB 235T B1M648V6D6 F6 638M465K16X 79GB K58F8V61 I RK[ L6L2F 235T4 FF6G6DB3 6 D232GL2c61 FB3 G652186F23 I G2D8B3X RK[ 6758A8D6D23 I L1T758763 32 LB4D1T4 24 G617^6X RK[ 76F24D618B D2?24 32MK81 L616 126F8V61F63; 0BD2GB3 6D2F64561 RK2 FB3 G2D8B3 QK4D6G2456F23 RK2 K58F8V61T 2F 6FKG4B 3B4 F6 ?8?F8BM16QS6 ?T3876 I 2F 7K13B A815K6F 24 F6 LF656QB1G6 6-J; -6 ?8?F8BM16QS6 ?T3876 235T D832c6D6 L616 2F 516?6@B 6K594BGB I 2F 7K13B A815K6F 7B458242 4B 39FB 84QB1G67894 3B?12 2F G652186F K58F8V6DBX 384B 56G?8[4 ^2116G824563 RK2 Q678F8564 2F 6L124D8V6@2X 7BGB FB3 QB1B3 B L1K2?63 D2 6K5B2A6FK67894; (235676GB3 RK2 FB3 QB1B3 L21G8524 K46 7BGK48767894 QFK8D6 24512 6FKG4B3 I 2RK8LB DB72452; 0616 7BGLF2561 F6 G652186X 2F 6FKG4B 524D1T RK2 126F8V61 K4 5B56F D2 :CP ^B163 \CP ^B163n71[D85B] D2 516?6@B; (2 2FF63 6L1B`8G6D6G2452 F6 G856D 32 D2D8761T4 6 F6 F275K16 7BGL12438A6 D2 F6 ?8?F8BM16QS6 ?T3876 I D2 FB3 G652186F23 Q678F856DB3 24 2F 7K13B A815K6F; '2 D2D8761T4 6L1B`8G6D6G2452 Nk ^B163 6 F6 126F8V67894 D2 2@217878B3 L1BLK235B3 I 2@217878B3 D2 6K5B2A6FK67894; %4 7K645B 6 F63 L1T758763 D2 B1D246DB1X 32 LBD1T4 D2D8761 ^6356 :k ^B163;


'2c6F6GB3 RK2 2356 638M465K16 58242 L1T758763 D2 B1D246DB1X 7KI6 G27T4876 32 84D876 24 2F 7K13B A815K6F /16?6@B 6K594BGB; 06152 5291876 /16?6@B 6K594BGB; 06152 L1T75876 #4521677894 7B4 2F DB72452;

-275K16 7BGL12438A6 D2 F6 ?8?F8BM16QS6 ?T3876 I D2 FB3 G652186F23 Q678F856DB3 24 2F 7K13B A815K6F; fk ^B163; &26F8V67894 D2 2@217878B3 L1BLK235B3X 2@217878B3 D2 6K5B2A6FK67894 I L1T758763; Nk ^B163 &2A83894 D2F G652186F 6KD8BA83K6FX 6758A8D6D23 52F2GT58763X 126F8V67894 D2 6758A8D6D23 24 7K13B A815K6FX 6383524786 6 L1T758763 \52F2GT58763 B L12324786F23]; CP ^B163;

3.2. Recursos de apoyo 0616 6IKD61 24 2F 235KD8B D2 2356 638M465K16X 2F 235KD86452 D83LB4D1T D2 D8A213B3 G2D8B3 D2 6LBIB; %4512 2FFB3X D235676GB3O  

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=6$9' 0/$%6#> '21T 2F L18478L6F LK45B D2 6LBIB; %F K3B D2F 7K13B A815K6F 23 842FKD8?F2 L616 7K6FRK821 235KD86452; 'K3 L18478L6F23 QK478B423 3B4O  

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NOMBRE DE LA ASIGNATURA  

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%356?F2721 2F 76F24D618B D2 6758A8D6D23 QB1G658A63X %`LF878561 FB3 L1B72D8G8245B3 D2 65247894 6 F6 123BFK7894 D2 DKD63 D2 7B45248DB 63S 7BGB F6 4B1G658A6 D2F L1B723B D2 12A83894 D2 76F8Q87678B423X Diversa información sobre cada tema (conocimientos previos, objetivos, descripción del tema,…),

#4QB1G67894 3B?12 F63 L1T758763 B?F8M65B1863X +1B4BM16G6 L616 LF648Q8761 2F 235KD8BX =8?F8BM16QS6 7BGLF2G2456186 I 3K 12F67894 7B4 2F 52G618BX 01K2?63 D2 6K5B2A6FK67894X 01K2?63 D2 2A6FK67894 7B4584K6X 'BQ5Y612 D2 84521[3X )D2GT3X 32 6772D21T 6 QB1B3 D2 7BGK48767894X DB4D2 32 LBD1T4 LF645261 DKD63 I BL848B423 3B?12 2356 638M465K16 B LB421 24 7B45675B 7B4 B51B3 7BGL6c21B3;

3.3. Tutorización %F 2RK8LB DB72452 235T QB1G6DB LB1 %35^21 b8F +8D I -8D86 qK21M6 0635B1;

%F ^B1618B D2 65247894 L616 LB42132 24 7B45675B D81275B 7B4 FB3 L1BQ23B123 D2F 2RK8LB DB72452 I F6 QB1G6 32 84D876 24 F6 38MK82452 56?F6O @9%L8$ Q/> =/& /Q4BO p:EpmfNEm

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F^K21M6w?27;K42D;23

(23L67^B C;CmX %/'# #4DK35186F23;

(23L67^B C;NpX %/'# #4DK35186F23;

H61523 D2 p;Ek 6 :E;Ek ^B163;

>K2A23 D2 :k 6 :N ^B163;

)D2GT3X QK216 D2 D87^B ^B1618B 56G?8[4 23561T4 677238?F23X 6 516A[3 D2F 7K13B A815K6FX 2F 7B112B 2F27519487B I 2F 52F[QB4BX RK2 7K2456 7B4 ?KV94 D2 ABV; -63 7B43KF563 3B?12 FB3 7B45248DB3 B 3B?12 2F QK478B46G8245B D2 F6 638M465K16 32 LF645261T4 L12Q212452G2452 24 2F 7K13B A815K6FX K58F8V64DB FB3 QB1B3 La?F87B3; '8 2F 6FKG4B 4B LK2D2 6772D21 6 FB3 7K13B3 A815K6F23X B 7K64DB 42723852 L18A678D6DX 32 LBD1T LB421 24 7B45675B 7B4 2F 2RK8LB DB72452 G2D86452 7B112B 2F27519487B B LB1 Q6` \p: Epm m: kN]; -B3 G2436@23 24 2F ?KV94 D2 ABV D2 4aG21B 6118?6 84D876DB D2?24 847FK81 2F 4BG?12 D2F 6FKG4BX 638M465K16X 585KF67894 I K4 4aG21B D2 52F[QB4B D2 7B45675B;


-6 %/'# #4DK35186F23 D2 F6 !"%( 235T 385K6D6 24 F6 +8KD6D !48A213856186 D2 H6D18D; -6 &/$811/23 "'9%#> 23O +n >K64 D2F &B36FX :CX CmkNk; H6D18D -6 84D8767894 D2 79GB 6772D21 6 F6 %37K2F6 LK2D2 247B45161F6 24O !"%( #4878B ZZ /K !48A2138D6DZZ J67KF56D23 I %37K2F63 ZZ %/'#4M24821B3 ZZ +BGB FF2M61

3.4. Seguimiento de los aprendizajes +B4 2F B?@258AB D2 K4 G2@B1 32MK8G8245B D2F 6L124D8V6@2 \7B4 645218B18D6D 6 F6 L1K2?6 L12324786F]X ^2GB3 L1BLK235B F6 $8#>/U#1/23 &8 0#$/'9 %/"'9 &8 #1%/0/&#&89 1'7">8783%#$/#9X 6D878B46F23 6F 235KD8B D2 FB3 7B45248DB3 I 6 F6 126F8V67894 D2 2@217878B3 23L27SQ87B3 D2 76D6 G9DKFB; %3563 6758A8D6D23 3B4O 01K2?6 D2 6K5B2A6FK67894X 4B 7BGLK56?F2 L616 F6 4B56 Q846F; %A6FK67894 7B4584K6X 7B4 84QFK24786 24 F6 76F8Q8767894 Q846F D2 F6 638M465K16; +B4356 D2 2@217878B3 D2 2A6FK67894 7B4584K6 \%%+] I D2 01T758763; -B3 B?@258AB3 7BGK423 D2 F63 6758A8D6D23 3B4O )IKD61 6F 235KD86452 6 638G8F61 D2 QB1G6 7B4584K6X 7BB1D846D6 I 7B451BF6D6X FB3 7B45248DB3 D2 F6 638M465K16; )DRK8181X D23611BFF61 I G2@B161 7821563 ^6?8F8D6D23 RK2 321T4 B?@25B D2 2A6FK67894 24 F6 L1K2?6 L12324786F; ,1824561 6F 235KD86452 24 FB3 L63B3 I L6K563 RK2 D2?2 81 D64DB 6 FB F61MB D2F 32G23512; 021G8581 RK2 2F 235KD86452 32 6K5B2A6Fa2 I 3KL212 F63 LB38?F23 761247863; )48G61 6 L1232456132 6 F6 L1K2?6 L12324786F I 2A8564X 24 782156 G2D8D6X 2F 6?64DB4B; +BGL1B?61 RK2 32 638G8F64 FB3 7B45248DB3 D2 QB1G6 6D27K6D6; ,Q12721 F6 LB38?8F8D6D D2 G2@B161 F6 76F8Q8767894 Q846F;  



     

3.4.1. Ejercicios de Autoevaluación /82424 K46 Q846F8D6D 8GLB15645S38G6X RK2 23 L21G8581 6F 235KD86452 2A6FK61X DK16452 2F 235KD8B D2 FB3 G652186F23 I 64523 D2 F6 L1K2?6 L12324786FX 38 235T 638G8F64DB FB3 7B45248DB3 D2 +BGLF2G245B3 H652GT587B3; )3S LBD1T 646F8V61 3K3 LK45B3 D[?8F23 I 2F 48A2F D2 638G8F67894 D2 7B45248DB3 64523 D2F 2`6G24 Q846F I 12758Q8761 24 FB RK2 326 42723618B; -63 "$68A#9 &8 #6%'80#>6#1/23 3B4 L1K2?63 D2 2A6FK67894 6K5BGT5876 D83LB48?F23 6 516A[3 D2F 7K13B A815K6F; (87^63 L1K2?63O D'3 '"%#%/0#9; ", 3B4 B?F8M65B1863; VW 9'3 1'7"6%#A>89 83 ># 1#>/E/1#1/23 E/3#>'B4 6K5B2A6FK6D63 \2F 235KD86452 32 6K5B2A6FK61T]; )F Q846F8V61F6X 32 LK2D2 6772D21 6 F6 3BFK7894 7B112756; "B ^6I 582GLB GT`8GB 48 Q27^63 D2 126F8V67894;     

'K3 B?@258AB3 23L27SQ87B3 3B4O xK2 2F 235KD86452 516?6@2 D2 QB1G6 7B4584K6 D2 67K21DB 7B4 K4 71B4BM16G6; 

NOMBRE DE LA ASIGNATURA  

+BGL1K2?2 3K 48A2F D2 7B4B78G8245B 24 76D6 256L6; %356?F2721 L6K563 I B18245678B423 D2 235KD8B LB1 76D6 76LS5KFB;

%F '="+9, &,6'0*' LK?F8761T 24 2F 7K13B A815K6F 23563 L1K2?63 T! @K45B 6 3K 3BFK7894X 24 F63 Q27^63 RK2 32 84D8761T4 24 2F 7K13B A815K6F;

3.4.2. Evaluación Continua: Prácticas y Ejercicios de evaluación continua -6 2A6FK67894 7B4584K6 58242 DB3 7BGLB424523O F63 L1T758763 D2 B1D246DB1 I FB3 %@217878B3 D2 %A6FK67894 +B4584K6 \%%+]; -B3 A6GB3 6 7B438D2161 D2 QB1G6 7B4@K456 "B 3B4 L1K2?63 B?F8M65B1863X L21B 6F 52421 K4 L23B 7B4@K45B D2F Eky 24 F6 76F8Q8767894 Q846FX 23 GKI 127BG24D6?F2 3K 126F8V67894; -63 L1T758763 I FB3 %%+ 39FB 321T4 7BGLK56DB3 7K64DB 2F 235KD86452 ^6I6 6F764V6DB 63# 3'%# 7X3/7# &8 , "63%'9 24 F6 01K2?6 L12324786F; '8 4B 32 126F8V64X 32 7B438D2161T RK2 F6 4B56 D2 FB3 G83GB3 23 k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 

   

=#$#1%8$X9%/1#9 &8 >#9 "$K1%/1#9G +B438352 24 2F D23611BFFB D2 7B45248DB3 12F658AB3 6 M2BG251S6 7BGLK5678B46F; !46 L18G216 L6152 D2 F63 L1T758763 321T F6 6383524786 6 K46 5K5B1S6 \B7638B46FG2452X B4F842]X DB4D2 32 D23611BFF61T 2F 516?6@B 6 24512M61 LB1 2F 235KD86452 24 F6 L1T75876; !46 32MK4D6 L6152 7B438352 24 F6 2F6?B167894X 7B4 516?6@B 6K594BGBX D2 K4 516?6@B L1BLK235B; '2 24512M61T 6 516A[3 D2F 7K13B A815K6F; -6 LK45K67894 GT`8G6 6 6F764V61 24 F6 L1T75876 3B4 :k LK45B3; %4 484Ma4 763B F6 LK45K67894 D2 F6 L1T75876 321T 42M658A6X 7BGB GS48GB 321T k LK45B3; 'K 84QFK24786 24 F6 4B56 Q846F D2 F6 638M465K16 23 D2F :Py; "B 32 7B112M81T 484MK46 L1T75876 RK2 4B 847FKI6 K46 D27F6167894 D2 6K5B1S6 \32 847FK81T 24 2F 24K4786DB]; )RK2FF63 DB4D2 32 D252752 RK2 2F 6K5B1 4B 23 2F 235KD86452 RK2 F6 ^6 24512M6DB 321T4 76F8Q876D63 7B4 k LK45B3 I 2352 ^27^B 32 LB4D1T 24 7B4B78G8245B D2F 321A878B D2 843L277894;  



   

=#$#1%8$X9%/1#9 &8 >'9 @@=G 'B4 BL5658AB3; 'B4 &'9X I 3K 2351K75K16 32 D23718?81T 24 2F 7K13B A815K6F; 'B4 D2 58LB B4F842; "B 3B4 L12324786F23; 'K 84QFK24786 24 F6 4B56 Q846F D2 F6 638M465K16 23 D2F :Py; -6 LK45K67894 D2 76D6 L12MK456 32 84D8761T 24 2F 24K4786DB;     

M ÁSTER EN INGENIERÍA INDUSTRIAL  

%4 484Ma4 763B F6 LK45K67894 321T 42M658A6X 7BGB GS48GB 321T k LK45B3; -6 LK45K67894 D2 76D6 %%+ 23 7BGB GT`8GB P LK45B3;

=#$#1%8$X9%/1#9 1'76389 &8 >'9 @@= 4 &8 >#9 "$K1%/1#9G DY 9'3 1'7"6%#A>89 83 ># 1#>/E/1#1/23 E/3#>- 'K 76F8Q8767894 321T 5248D6 24 7K2456 24 F6 76F8Q8767894 Q846FX ^6356 K4 GT`8GB D2 E LK45B3 \A21 7185218B3 D2 2A6FK67894]; 'B4 L1BLK23563 I LK?F876D63 LB1 2F %RK8LB DB72452 24 2F 7K13B A815K6F; /24D1T4 K463 Q27^63 7B4712563 L616 3K 126F8V67894 InB 24512M6; /BDB3 FB3 D256FF23 3B?12 3K 2351K75K16 32 LK?F8761T4 7B4 582GLB 3KQ8782452 24 2F 7K13B A815K6F; '8 4B 32 ^6 24512M6DB 6FMa4 %%+ B F6 L1T75876X F6 4B56 D2 D87^6 L1K2?6 321T k LK45B3 \LKD824DB LK45K61 24 2F 1235B D2 F63 L1K2?63]; 

   

3.4.3. Pruebas presenciales 'B4 2F 2RK8A6F2452 6F 2`6G24 Q846F; 'K Q846F8D6D 23 K46 2A6FK67894 D2 FB3 7B4B78G8245B3 6DRK818DB3 6F E/3#>/U#$ 2F 7K6518G23512; -6 "$68A# "$89831/#> ZTTM 32 126F8V61T 24 FB3 72451B3 63B786DB3 D2 F6 !"%(; 'K3 76167521S358763 3B4O %3 K46 L1K2?6 2371856X RK2 32 126F8V6 24 Q2?121B IX 24 3K 763BX 24 32L582G?12; '8 32 6L1K2?6 24 Q2?121B 4B LK2D2 126F8V6132 24 32L582G?12; 0B1 3K 84QFK24786 24 F6 4B56 Q846F D2 F6 638M465K16X 23 B?F8M65B186 L616 LBD21 6L1B?61F6; /24D1T4 K463 Q27^63 7B4712563 L616 3K 126F8V67894X RK2 32 LK?F8764 24 F6 LTM846 Y2? D2 F6 !"%(; 'K LK45K67894 23 7BGB GT`8GB :k LK45B3; +B4356 D2 f L12MK4563O B 1689%/'389 1'$%#9X 7B4 K46 LK45K67894 5B56F 24 F6 76F8Q8767894 Q846F D2 B "63%'9- -6 ! LK45K67894 D2 76D6 L12MK456 A61S6 24512 k I : LK45B LB1 L12MK456; + "$'A>87#9X 7B4 K46 LK45K67894 5B56F 24 F6 76F8Q8767894 Q846F D2 [ "63%'9; !      

'K B?@258AB 23L27SQ87B 23O xK2 2F 235KD86452 GK23512X 24 8MK6FD6D D2 7B4D878B423 RK2 2F 1235B D2 235KD864523 D2 F6 638M465K16X F6 638G8F67894 RK2 ^6 126F8V6DB D2 FB3 7B45248DB3 D2 +TF7KFB; 

=$/%8$/'9 ?838$#>89 &8 80#>6#1/23 "#$# ># "$68A# "$89831/#>G +6D6 K46 D2 F63 7K651B 7K2358B423 7B1563 32 LK45K61T 24512 k I : LK45B; 0616 3K 76F8Q8767894 32 524D1T4 24 7K2456 F6 7B11277894 D2 F6 123LK2356X F6 6K324786 D2 211B123 D2 7B472L5B I 211B123 M16A23X F6 7F618D6D 24 F6 2`LB387894 I F6 76L678D6D D2 3S452383; +6D6 L1B?F2G6 32 LK45K61T 24512 k I E LK45B3; "B 39FB 32 524D1T 24 7K2456 38 32 FF2M6 6F 123KF56DB Q846FX 384B 56G?8[4 2F LF64526G8245B D2F L1B?F2G6X L63B3 RK2 32 ^64 D6DB L616 F6 123BFK7894X K58F8V67894 D2 127K13B3 I 123KF56DB3 6D27K6DB3X 7F618D6D D2 2`LB387894 I F6 6K324786 D2 211B123 D2 7B472L5B I 211B123 M16A23; '2 524D1T4 24 7K2456 FB3 7185218B3 LF64526DB3 24 F6 1a?1876; 



"#$"%&'( )524D824DB 6 F63 7BGL25247863 M24[18763 I 23L27SQ8763 RK2 32 L12524D2 6F764V61 7B4 2356 638M465K16X 2F GBD2FB B LF6458FF6 D2 2A6FK67894 \&z=&#+)] K58F8V6DB LB1 2F '="+9, &,6'0*' L616 7B112M81X 23L2786FG2452 FB3 L1B?F2G63 D2 D23611BFFB D2 F6 L1K2?6 L12324786FX 23 2F RK2 32 GK23516 24 F6 LTM846 38MK82452;


!58F8V64DB 2356 LF6458FF6 32 7B438MK2O qBGBM248V61 2F L1B723B D2 2A6FK67894; xK2 2F 235KD86452 LK2D6 6K5B2A6FK6132;  

R'9 /3&/1#&'$89 # %838$ 83 1683%# 83 ># 80#>6#1/23 &8 >'9 8J8$1/1/'9 9'3G &6VB46G8245B 71S587B; +6L678D6D D2 M242161 4K2A63 8D263; &2QF2`894 I (2DK77894; H642@B D2 F63 /#+3;    

")*+,-. /.+. 0. 12.03.-,45 61 078 /+7*019.8 61 0. /+31*. /+1815-,.0( H#U'3#7/83%' 1$X%/1' 4 T63%'9 =#"#1/&#& &8 ?838$#$ 3680#9 /&8#9 "B 32 237BM2 484MK46 -63 16VB423 2`LK23563 4B ` @ 582424 484MK46 ?632 W 2351652M86; _ V G652GT5876; D'>61/23 &8> T$'A>87#

W F ! ` W V

b ^ a V @ H T !

W ^ H ! _ D _

'2 237BM2 K46 2351652M86 RK2 4B FF2A61T 6 F6 3BFK7894; q6I LB76 2A8D24786 D2 23561 7BGL1BG258DB 7B4 F6 56126; '2 237BM2 K46 2351652M86 7B112756 L616 123BFA21 39FB K46 L6152 12F2A6452 D2F L1B?F2G6; q6I 2A8D24786 D2F K3B D2 6FMa4 7B4B78G8245B L12A8B I 32 GK23516 78215B 7BGL1BG83B 7B4 F6 56126;

"B ^6I 484MK46 @K358Q8767894 7B112756;

'2 7B438MK2 K46 123LK2356 7B112756 6 M164 L6152 2F L1B?F2G6; '2 237BM2 K46 2351652M86 7B112756 I 32 GK23516 78215B 7B451BF; q6I 2A8D24786 D2 ^6721 GT3 39F8DB K4 7B4B78G8245B L12A8B;

'2 7B4351KI24 16VB423 7B4 K46 ?632 G652GT5876 6D27K6D6 I 7B112756; '2 A2 K4 LF64526G8245B 38352GT587B InB F6 @K358Q8767894 D2 K4 16VB46G8245B 7B11275B; '2 B?321A64 L651B423 I 2351K75K163 B 12MKF618D6D23 24 2F 16VB46G8245B LF64526DB;

'2 L12324564 16VB423 7B4 782156 ?632 G652GT5876; q6I 6FMa4 16VB46G8245B 7B4 56452B3 BnI 4B 38352GT587B D2 L1B?61 A618B3 763B3;

='763/1#1/23 7#%87K%/1# WA98$0#1/'389* 4 @\"$89/23 891$/%# 83 H8"$8983%#1/23 &8 ?$KE/1#9* >83?6# 89"#]'># .#38J' &8 >#9 F^=9 "B 32 7BGK4876 484Ma4 "B 32 ^6724 12QF2`8B423; L1BL9385B; "B 32 8FK3516 F6 3BFK7894 7B4 M1TQ8763; q6I LB76 2A8D24786 D2 K4 LF64526G8245B D2F L1BL9385B; '2 K36 K4 F24MK6@2 Q6G8F861 L616 7BGK48761 8D263 InB 32 126F8V64 Q6F563 D2 B15BM16QS6; '2 K36 6FMa4 16VB46G8245B 7B11275B 6 516A[3 D2 3SG?BFB3 G652GT587B3 I 32 D64 2@2GLFB3 L616 7BGK48761 F63 8D263 G2D86452 2F K3B D2 D86M16G63 K B?@25B3; -63 2`LF87678B423 3B4 M16G6<5876FG2452 7B1127563; '2 7BGK4876 F6 16V94 D2 K4 L1BL9385B G2D86452 K46 123< LK2356 G259D876X B1M648V6D6X 7B^212452 I 7F638Q876D6;

"B 32 ^6724 12QF2`8B423 48 32 GK235164 84D878B3 D2 ^6?21 84A2358M6DB 24 2F 52G6; b1TQ876 847B112756; '2 ^672 K4 845245B D2 12F678B461 F6 56126 7B4 B51B3 52G63; '2 L12324564X 24 2324786X 8D263 2GLF26D63 24 3K 5B56F8D6D 24 2F 52`5B ?632; -6 M1TQ876 RK2 32 12L1232456 32 6@K356 24 M164 L6152 6 F6 B18M846F; '2 127B4B724 7B42`8B423 G652GT58763; q6I 84D878B3 D2 ^6?21 84A23< 58M6DB B L1BQK4D8V6DB 3B?12 D87^B 52G6; %35B LK2D2 7B4FF2A61O • La clarificación deF L1B?F2G6;

'2 K36 ?824 2F F24MK6@2 G652

W F H @ T c @

'2 7B438MK2 K46 123LK2356 7B112756 6 F6 5B56F8D6D D2F L1B?F2G6; '2 237BM2 K46 2351652M86 2Q8782452 I 2F L1BM123B ^6786 F6 3BFK7894 32 2A6Fa6; '2 582424 24 7K2456 23516< 52M863 6F5214658A63; q6I 2A8D24786 D2 K4 64TF8383 G652GT587B D2 F6 385K67894;

'2 K364 61MKG245B3 D2DK758AB3 L616 @K358Q8761 D27838B423; '2 L12324564 7B47FK38B423; %35B LK2D2 FF2A61 6O

'2 7BGK4876 2F L1BL9385B 6F 48A2F D2 K3K618B I 32 K364 16VB46G8245B3 G652GT587B3; '2 6L12786 K4 F24MK6@2 G652GT587B L12783B I K46 • Probar y aceptar o rechazar 4B567894 38G?9F876 L616 K46 ^8L952383; 7BGK48761 8D263; •

La

explicación

de

Q249G24B3; • Se generaliza y se extiende

'2 K364 B?321A678B423 G652< GT58763 L616 2`524D21 F6 3BFK7894; '2 GK23516 K46 6GLF867894 D2 7B4B78G8245B3; '2 7B4351KI2 K46 M1TQ876 7B< 112756 I 32 646F8V64nB?321A64 76167521S358763 D2 2FF6 12F678B< 4T4DBF6 7B4 F6 123LK2356 L1B< LB178B46D6;

F6 3BFK7894 6 B51B3 763B3;

3.4.5. Criterios de evaluación -63 4B563 D2 76D6 K46 D2 F63 L1K2?63 2A6FK6?F23 32 127BM24 24 F6 38MK82452 56?F6O T'3&8$#1/23 83 ># 3'%# D/9%87# &8 80#>6#1/23 E/3#> 01K2?6 L12324786F hky 01T758763 :Py %@217878B3 D2 2A6FK67894 7B4584K6 :Py -6 4B56 Q846F 32 76F7KF6 32Ma4 F6 38MK82452 27K67894 Z16#3&' 98 L#4# 'A%83/&' 63 7X3/7' &8 , "63%'9 83 ># "$68A# "$89831/#>MO "B56 Q846F{ k;h|4B56 L1K2?6 L12324786F } k;:P|4B56 L1T758763 } k;:P 4B56 %%+; /645B FB3 2@217878B3 D2 2A6FK67894 7B4584K6 7BGB F63 L1T758763 QB1G64 L6152 D2 F6 2A6FK67894 7B4584K6; "B 3B4 L1K2?63 B?F8M65B1863X L21B #> %838$ 63 "89' 1'3J63%' &8> ,:d 24 F6 76F8Q8767894 Q846FX 23 GKI 127BG24D6?F2 3K 126F8V67894;

H80/9/23 &8 >#9 1#>/E/1#1/'389G '2 LBD1T 3BF878561 F6 12A83894 D2 F63 76F8Q87678B423 24 FB3 5[1G84B3 2356?F278DB3 LB1 F6 !"%(;

4.- COMPROMISO ÉTICO !46 D2 F63 7BGL25247863 K48A2138561863 32c6F6D63 LB1 F6 !"%( D872 52`5K6FG2452O (23611BFF61 67585KD23 [58763 D2 67K21DB 7B4 FB3 L18478L8B3 D2B45BF9M87B3 I 2F 7BGL1BG83B 3B786FX RK2 D2?2 516DK78132 24 K4 7BGL1BG83B [587B \[5876 L1BQ238B46F] LB1 L6152 D2 5BDB3 FB3 G82G?1B3 D2 F6 7BGK48D6D K48A213856186;


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GUIA PARTE 2 Complementos Matematicos-curso14-15

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