!! ,-. / 0 / 1 2.

 

Course Code : Semester : Second Subject Title : Engineering Mathematics Subject Code : 9006 Teaching and examination Scheme Teaching Scheme.

 

Course Code : Semester : Second Subject Title : Engineering Mathematics Subject Code : 9006 Teaching and examination Scheme Teaching Scheme.

 

- ƵƐŝŶĞƐƐ ĂŶĚ ĐŽŶŽŵŝĐƐ ; ϭϬϭϮ Ϳ dŚĞ ŽůůĞŐĞ dƌĂŶƐĨĞƌ ĞƌƟĮĐĂƚĞ ; d Ϳ ŝƐ ĚĞƐŝŐŶĞĚ ĨŽƌ ŚŝŐŚ ƐĐŚŽŽů ũƵŶŝŽƌƐ ĂŶĚ ƐĞŶŝŽƌƐ ǁŚŽ ǁŝƐŚ ƚŽ ŐĂŝŶ ĐŽůůĞŐĞ ĐƌĞ

 

٢ ﻲﺳﺪﻨﻬﻣ ﻲﺿﺎﻳﺭ ﺱﺭﺩ ﻊﺑﺎﻨﻣ ﺯﺍ ﻱﺍ ﻩﺭﺎﭘ ﺖﺳﺮﻬﻓ: 1- Kreyszig, E. , Advanced Engineering Mathematics, 8th ed. or previous editions, John-Wiley Sons, 1999. ﺖﺳﺍ ﻩﺪﺷ ﻪﻤﺟﺮﺗ ﺏﺎ

 

EMT111 LaurelBenn Factoring. commonfactors. Tousethiswe. Example1. 20x3y2 4xy2 x2y2¡4y 5x2 SpecialFormulas specialformulas. Herearesome specialformulas. x2¡y2 x y x¡y 2. x3 y3 x y x2¡xy y2 3. x3¡y3.

 

٢ ﻲﺳﺪﻨﻬﻣ ﻲﺿﺎﻳﺭ ﺱﺭﺩ ﻊﺑﺎﻨﻣ ﺯﺍ ﻱﺍ ﻩﺭﺎﭘ ﺖﺳﺮﻬﻓ: 1- Kreyszig, E. , Advanced Engineering Mathematics, 8th ed. or previous editions, John-Wiley Sons, 1999. ﺖﺳﺍ ﻩﺪﺷ ﻪﻤﺟﺮﺗ ﺏﺎ

 

LaurelBenn July9,2009 De¯nition1 1an a1 a2 ::: an ::: Wherea1;a2;a3. IfweletSnbe thesumofthe¯rst n a1S2 a1 a2S3 a1 a2 a3. Sn a1 a2 a3 ::: an nXn 1anWe. 1n. 1an. IffSng S S iscalled. S 1Xn 1anIffSn g. Example1 1¡1 1¡1 :::convergesor diverges. 1Now,S1.

 

LaurelBenn January15,2010 deal. I urgeyouto orkedin. stitute forhardwork. Example1Iff x p5x2 1 x. Solution:f0 x limh!0f x h ¡f x h limh!0q5 x h 2 1¡p5x2 1 h x h 2 1 p5x2 1 togetlimh!05 x h 2 1¡ 5x2 1 h q5 x h 2 1 p5x2.

 

LaurelBenn November25,2009 ith inequalities. We s. The¯rsttype llcallNon-Line arInequali- ties. meabsolute valueproblems. We sthatused. erthatwhen multiplying ordividing ativenumber,. Example1.

 

Course Work Grade No. RegistrationNo. Sunday, December 18, 2011 Page 1 of 5 Signature of Lecturer: Date: Signature of Head of Department: Date:.

 

e Zxpx 5dx f Zxlnxdx g Ztan2xsec2xdx h Zcos2xsin2xdx2 i Z2xpx2¡1dx j Z20x2p1 x3dx k Z¼03cos2xsinxdx l Zx x2 1 10dx3 m Zx3dx4p1 x4 n Z¼0sinxdx 3 cosx 2 o Z8¡x x¡2 2 x 1 dx p Zx2 x x2 2 x 3 dx4 q Ze lnx x2 dx r Z2x2¡2x¡3dx s Ze2xcosxdx5 2. 4 x4 1 2dx

 

LaurelBenn January15,2010 deal. I urgeyouto orkedin. stitute forhardwork. Example1Iff x p5x2 1 x. Solution:f0 x limh!0f x h ¡f x h limh!0q5 x h 2 1¡p5x2 1 h x h 2 1 p5x2 1 togetlimh!05 x h 2 1¡ 5x2 1 h q5 x h 2 1 p5x2.

 

EMT112 TestI. Showallworking. 1. a p 1250 b 12p3 p2 c d 5Xi 12 i 2. Solveforx: a 3x¡1 9 b log2x log2 x ¡ 2 3 c 3x¡1 7 3. ofthecarbon-14. the 4. useM logIS 5. 6. about20perdayat 1000each. 100. 7. 8. Eachbounceis.

 

LaurelBenn November28,2009 1. a f x p4¡x2 b f x 9¡x2 c f x 5xx¡8 d f x 5 p9¡x2. Iff x x2 2xandg x 2x¡5. a f±g x b g±f c afunction h suchthat g±h x x d functionspandq suchthatg x p± q 3. 2x2¡8x 7. 4. x 2x2 2x 5. 5. x 5x3 9isone-to-one. 6. Isf x x

 

1. t H 70 120 1 4 t a Whatistheco®ee thatis,attimet 0 After1hour 2hours b 75oF 2. s inmph at d suddenly. Thenumber f ameasureofthe slipperiness oftheroad. Dry 1. 00. 80. 2 Wet 0. 50. 40. 1 a b 3. t daysisgivenbym t 15e¡0:087 t wherem t is measuredingram

 

September8,2010 1. Evaluate. a ¡23¢¡ 2 b 121 32 c 12¡1 d ¡12527¢ 0 2. a p288 b p 450 c p 72 d p123. Simplify: a p2 3¡p2 b p2¡1 p2 1 c 2 p 5 3 3p5¡ 2 4. a 1p5 b 32¡p3 c 23 2p5 d 12p3 p 2 5. Evaluate. a log 4 64 b log1000 c log 121 11 d 5log525.

 

EMT111 TestI Practice. Showallworking. 1. a p 1250 b 12p3 p2 c 2. Solveforx: a 3x¡1 9 b log2x log2 x ¡ 2 3 c 3x¡1 7 3. Solveforx: a 3x 2 x¡3 ·0 b 3x 9x2 2x 1¸1 c jx 2j j3x¡3j 4. ofthecarbon-14. the 5. useM logIS.

 

LaurelBenn November6,2009 PleaseNote I. Check1 g forsomething sclass. 1. a x 1 3x¡1 ¡1;13 b 4x2x ¡1;¡32 0; 1 c y weget11¡x¡3x·0 x¡3 1¡x x 1¡x ·0 4x¡3x 1¡x and1. 0;34 1; 1. d x 2 4 4 x¡2 x 2 0. 2. ¡2;2. e x x¡1 x 1 0. ¡1;0.

 

LaurelBenn 1. Addorsubtract. a 47 58 b 413¡329 c 213 11 8 2. Divide. a 538¥114 b 445¥8 15 3. 1.

 

EMT121- ProblemSetI February4,2010 1. a 100011 1100 b 1000011101 10000000 c 1001100 1100101 2. Determinethetwo a 10001010 b 11010111 c 11111 d 000000000 3. s cantbit MSB value.

 

EMT121- May10,2012 1. function:A B C A B. 2. edexpressions: a A B AB AC b A B A B c A B C A BC A B C A BC3. a AB AC b AB CB c X YXZ4. a A BC. b A B A C 5. a A B C b A BC D16. 7. available. 8. 9. ofeithertype. gates. ABC10. Aoutput B X Circuit5 3.

 

5-1Chapter5 ܎ද܎ථᙯඤ ation ࢂ ΋ᅿᡂኧᙯඤޑၮᆉၸำ Ǵ ஒচٰ Ծ ᡂኧ t ڄኧ f t ᙯᡂࣁཥ Ծ ᡂኧ s ڄኧF S Ƕځ Ҕ೼ԖǺȐ1ȑ؃ ှ த߯ኧ ǵ ᡂ߯ኧ ޑ O. D. EȐ2ȑ ؃ ှᖄҥ த߯ኧ Ϸ ᡂ߯ኧ ޑ O. D. EȐ3ȑ؃ှୃ༾ϩБำԄ P. D. EȐ4ȑ؃ှۓᑈϩॶ sincos20108 ˜˜³STTTdǴ cos050 ˜³STTdȐ5ȑ؃ှ ྵᑈϩ³f ¸¹·¨©§0 sindtttǴ³f.

 

EMT121 PracticeExamI March22,2010 1. x x2 2x 1. 2. Supposethat f x 4,f 0 2and f 1 5. Findf. 3. Evaluate. a Z414pxdx b Z x 1x 2dx c Zx2 2xxdx d Z x¡1 6x¡5 dx e Z sin 6x¡1 3dx f Zdx3¡2x g Zdxp5x¡14. 7192. 5. 2x andbelowbyy x2. a FindtheareaofR.

 

EMT111- CourseSchedule SemesterI 2011/2012 LaurelBenn TUESDAY 11:15-12:10 THURSDAY 8:15-10:10 FRIDAY 9:15-10:10 9/6-Tutorial 1 9/9-Tutorial 9/13-Tutorial 2 9/16-Tutorial 9/20-Tutorial.

 

EMT121 Exam2 July8,2009 1. a b EvaluateZxp3x2 2dx c Ifg x Zx 0 arctan 3t dt. Findg0 13 andg00 13. 2. 2x andbelowbyy x2. a FindtheareaofR. b they-axis. 3. a Z10xcos ax dx b Z30x2¡25x 100dx c Zsec3 µ tan µ dµ d Zx¡1x x 1 2dx e Z2x¡12x2¡2x.

 

1. a. Findthe numbers. b 2000. c Canolaoilis7 saturatedfat. sat- uratedfat. d 10and 5coins. Ifthevalueofthe coinsis e. Some paid 250. forthe°ightwas sold f. OnTuesdayhepaid.

 

SEMESTERI 2010/2011 LaurelBenn September4,2010 MONDAY WEDNESDAY THURSDAY rithms 1 9/8-Tutorial 2 Progression 3 tions 4 9/16-Tutorial 9/20-Functions 5 9/22-EXAMI 1,2,3,4 6 9/27-Lines.

 

LaurelBenn October31,2009 1. a x 1 3x¡1 ·0 b 4x2x 3¸0 c 11¡x·3x d x2 4 e x3x f j5x¡2j 6 g 1jx 7 j 2 2. Solveforx:j2x 1j jx¡2 j 3. 1 ; 4 and ¡2; 0. 4. ns. a through 3;¡1 ;gradient-2 b c 2y¡3 0 d through 1 ; 1 5y 8 0 5. a 2x¡y 1 b 3x¡y 5 01 c x

 

TestIIsolutions EMT121 July23,2009. 1. a Z15p218xdx £9x2¤15p2 9 225 ¡ 2 2007 b Zxp3x2 2dx 16Zp3x2 2d 3x2 2 19 3x2 2 32 c c g x Zx0arctan 3t dt g0 x arctan 3 x bythe2 nd. g00 x 1 3x 2 1¢3 39x2 1 g0 1 3 arctan 3¢13 arctan 1 ¼4 g00 13 39 13 2 1 32. 2.