Engineering mathematics 202 EcE202
شرح مادة الرياضيات الهندسيه لطالبات كلية الهندسه
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مراجعه على الاشتقاق والتكامل
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Lecture 1 (1-1) elementary of vector
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Lecture 2 (1-2) vector product
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Lecture 3 (1-1) ( differentiation of a vector )
- Parametric. tangent vector , unit tangent vector 24:29
- Gradient , directional derivative , divergence , curl (vector ) 23:30
- ملخص القوانين lecture 3 08:11
- Exercise (tangent )questions 24 . 25 . 26 . 27 . 28 24:19
- Exercise ( gradient )question 11 . 12 . 13 . 14 . 15 18:37
- Exercise ( divergence) question 1 . 2 . 3 . 4 . 5 . 6 26:23
- Exercise (curl ) question : 4 . 5 . 6 . 7 . 8 22:34
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Lecture 4
- Line integral 42:56
- Exercise 5,6 (line integral) 34:49
- Exercise 4,7 (line integral ) 20:52
- Surface integral 17:30
- Examples 25:44
- Exercise4(line integral) ;Exercise 2: Surface integral 26:24
- Exercise 3:surface integer 27:45
- Exercise(surface integral ):4, 5 ,6 ,7 , 8 , 9 35:02
- ملخص القوانين 08:32
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Lecture 5
- Green's theorem 32:54
- Exercises : 2 ,4, 5 , 6 , 7(greens' theorem ) 32:57
- Divergence theorem 25:12
- Exercise : 1 (green's theorem) , Exercise 13 :divergence theorem 16:57
- Exercise : 11 . 12 . 14 :divergence theorem 21:48
- Stokes theorem 23:16
- Exercise 1: Stocks theorem 13:03
- Exercise 5 :stocks theorem 09:24
- Exercise : 2 ,3 ,4 ,6 ,7(stocks theorem ) 35:41
- Exercise : 13 ,14 , 15 , 16 , 17(stocks theorem ) 24:47
- ملخص القوانين 04:48
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Lecture 6 ( elimintary / geometric representations ) of complex numbers
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Lecture 7 (polar /powers , roots ) of complex numbers
- Polar form of complex numbers 37:07
- Power and roots 30:09
- Exercise : 1,2,3,4,5,6,7,8 38:21
- Exercise : 9,10,11,12,13,14 34:30
- ملاحظات مهمه على التمارين السابقه 08:13
- Exercise : 15,16,17,18 07:58
- Exercise:21,22,23,24,25,26,27 46:57
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Lecture 8 (complex function ,limit, continiuty, derivative, analytic , couchy , Laplace )
- Elementary of complex functions 27:36
- Exercise : 10, 11 , 12( complex functions ) 19:32
- Limit , continuity and derivatives of complex functions 26:27
- Exercise : 14 , 15 , 16 , 17(limit and continuity) 22:14
- Exercise : 18,20, 21, 22 , 23 (derivative ) 17:19
- Couchy -Riemann Equations 20:57
- Exercise :2 , 3 , 4 , 5, 7, 8 (cauchy-Riemann Equations ) 27:23
- Laplace's equations 20:08
- Exercise :12, 13 , 14 , 18 , 19 (Laplace's Equation) 37:47
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Lecture 9(exponential /trigonometric /complex logarithmic
- Exponential complex functions 37:05
- Exercise :2; 3. ; 4 ; 5 ; 6 ;7 8 20:12
- Exercise : 10 11. 12. 13. 14. 15. 16 33:29
- Trigonometric complex functions 21:10
- Exercise :6 7 8 10 12 22:58
- Exercise 17, 18 11:15
- Exercise 16 10:52
- HW#2 : Exercise 2 23:04
- logarithmic complex function 24:34
- Exercise:6 7 8 9 10 12:59
- Exercise :12 14 15 16 09:31
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Midterm 1
- Exercise: lec1,lec2 30:05
- Exercise lec3 19:20
- exercise lec4,lec5 48:37
- Exercise :lec6,lec7 13:03
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Lecture 10
- General power 44:15
- Exercise :22 ,23 ,24, 25, 26, 28 26:58
- Linear integral in the complex plans 33:41
- Second method of line integral in the complex plane 41:51
- Estimate of an integral 30:32
- Exercise: 1, 19 , 22 25:05
- exercise :22, 24, 25, 26 27:00
- Exercise 27 03:06
- Exercise :2 3 4 6 8 19:29
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Lecture 11
- Cauchy's integral theorem 31:18
- Examples 37:36
- Exercise :9 ,10, 12, 13 ,14, 15, 16, 17 ,18 43:28
- consequences of Cauchy's integral theorem 34:22
- Exercise :2 , 13 16:34
- Exercise :3 4 13:13
- Exercise :6 ,7 ,8 15:33
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Lecture 12
- Sequences 22:06
- Series 20:45
- ratio test, root test 29:56
- Exercise 16 :17: 18 26:59
- Exercise 20 :21 16:29
- Exercise 24 05:35
- Exercise :19 , 23 23:40
- ملخص (comparison, ratio) test 08:26
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Lecture 13
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Lecture 14
- Taylor and maclaurin series 10:52
- Laurant series :example 1, 2 34:32
- Example 3 , 4 26:07
- Example 5 27:03
- Exercise :15 , 19 26:47
- Exercise 9 , 14 20:12
- Exercise 21 19:34
- Exercise 20 10:02
- Exercise 10 , 11 13:16
- Exercise 23 04:31
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Lecture 15
- Singularities and zeros 33:08
- Residue integration method /residue at simple pole 43:00
- Residue at a pole of high order/ integration by residue theorem 26:08
- Exercise 3 , 15 20:43
- Exercise : 4 ,5, 6 ,7 ,8 36:06
- Exercise 9, 10 ,11, 12 23:38
- Exercise :14 ,16, 17 31:34
- Exercise : 18 ,19, 20 ,21 34:45
- Legendre's equation / Bessel's equation 30:29
- Exercise :3, 11 36:20
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Lecture 16
- Partial differential equation ( PDEs) 33:28
- Exercise 3 , 9 15:59
- Exercise : 2, 4, 5, 6, 7 ,8 22:29
- Exercise :10 ,11 ,12 15:19
- Wave equation 38:33
- exercise :6 29:58
- Exercise 7 20:58
- Exercise 8 21:20
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Lecture 17
- One dimensional heat equation 26:45
- Two dimensional heat equation 08:30
- Exercise 5 , 21 24:59
- Exercise 6 33:45
- Exercise 7 20:15
- Exercise 18 11:53
- exercise 19 13:37
- Sturm _liouville problems 35:05
- exercise 7 25:00
- Exercise 8 24:17
- Exercise 9 26:39
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مراجعه على الاشتقاق والتكامل
- شرح مادة الرياضيات الهندسيه لطالبات كلية الهندسه
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Eng: Sally. Faculty of Engineering. Al.kahra University. graduated at 2010 with Excellent grade. Master degree in MATH and Statistics. 10 years teaching Experience for the subjects of MATH and Statistics in Saudi Arabia. Online Education Experience with all Universities: Princess Noura university, AL-IMAM university and King Saud university
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باختصار تبين تنجحين مالك الا هي فكت أزمه ما كنت بعدي المادة لولا الله ثم هي .. والله مارح تندمين انك اشتركتي معها ابدااا تحل وتشرح كللل شي بضمير وتحل الواجبات
الشرح ممتاز جدا و مهندسه سالي متعاونه 💕💕
مهندسة سالي الأفضل ❤️
الشرح ممتاز وواضح والمهندسه مسهله كل شي ومتعاونه معانا جداً الله يسعدها
مهندسة سالي جدًا متعاونه وشرحها جدًا واضح وترد بسرعة وتحل كل شيء من الالف للياء الله يعطيها العافية
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الله يسعدها. لولا الله ثم هي ماكان عديت المادة🤍🤍🤍🤍
والله المادة معها أسطورية مرة بترتاحين ما تشيلين هم كل شيء محلول ولو جاء أي سؤال ببالك بتلقين إجابته عندها الله يعطيها العافية والصحة يا رب🤍
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شرحها يجنن وتفصل وتشرح حتى الاشياء القديمه اللي مفروض تكونين عارفتها منزمان عسل الله يسعدها
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شرح مهندسة سالي وافي وكافي بحيث ما يحتاج الرجوع لمصادر اخرى سهلت علينا الحلول للامثلة وتشرح بالتفصيل ما ندمت ابداً اني اشتركت معها الله يبارك لها في عملها ويكتب اجرها ❤️❤️❤️