تفاضل وتكامل 107 Math107
مقرر تقاضل 107 - لطالبات جامعة الاميرة نوره كلية العلوم
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Basics
- Integral Basic 15:25
- Substitution 20:29
- By Part 10:51
- Rational 27:12
- طريقة حساب الدوال المثلثية لأهم الزوايا بدون آلة حاسبة 08:13
- قواعد الإشتقاق 20:13
- (10.2) Polar Coordinates
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(10.4) Conic Sections
- Parabola 13:51
- Ellipse 15:53
- Hyperbolas 12:17
- تمارين 10.4 22:38
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(11.1) DISTANCE IN 3-SPACE; SPHERES
- DISTANCE IN 3-SPACE; SPHERES 14:49
- Exercises 11.1 17:36
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(11.8) Cylindrical and Spherical Coordinates
- CONSTANT SURFACES 05:58
- Cylindrical And Spherical Coordinate Systems 27:07
- Exercises 11.8 40:51
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(9.1) Sequences
- Definition Of A Sequence 37:39
- Limit of A Sequence 48:20
- The Squeezing Theorem For Sequences 18:27
- Exercise - Part 1 41:47
- Exercise - Part 2 16:09
- Exercises 9.1 - 2 06:43
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(9.2) Monotone Sequences
- Terminology 13:37
- Testing For Monotonicity 18:34
- Properties That Hold Eventually 16:30
- Convergence of Monotone Sequences 18:24
- Exercise 28:34
- Exercises 9.2 - 2 03:48
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(9.3) Infinite Series
- Sums Of Infinite Series 23:02
- Geometric Series 28:08
- Geometric Series - Examples 34:44
- Telescoping Sums 18:07
- Harmonic Series 03:01
- Exercises 15:01
- Exercises 9.3 - 2 32:55
- (9.4) Convergence Tests
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(9.5) The Comparison, Ratio, and Root Tests
- The Comparison Test 17:43
- The Limit Comparison Test 16:17
- The Ratio Test 24:56
- The Root Test 05:17
- Exercise 2 05:59
- Exercise 3 06:37
- Exercise 5 - 10 18:19
- Exercise 12 - 20 07:21
- Exercises 28 - 49 27:35
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(9.6) Alternating Series; Absolute And Conditional Convergence
- Alternating Series 19:39
- Absolute Convergence 22:30
- Conditional Convergence 20:46
- The Ratio Test For Absolute Convergence 14:06
- Exercise 1 17:01
- Exercise 9.6 - 2 14:31
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(9.8) Maclaurin and Taylor Series; Power Series
- Maclaurin and Taylor Series 31:04
- Power Series 10:25
- Power Series in x 33:34
- Power Series in x - xo 17:42
- Exercise Part 1 17:11
- Exercise Part 2 20:05
- تمارين ٩.٧ و ٩.٨ الجديدة (دمجتهم لأنهم نفس الفكرة وتوضيح الفرق بينهم ) 32:57
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(9.9) Convergence of Taylor Series
- Binomial Series 09:50
- 9.10 Differentiating and Integrating Power Series
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(13.1) Functions of Two or More Variables
- Exercises 13.1 17:00
- Functions + Domains 36:09
- تمارين 13.1 الجديدة 19:43
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(13.2) Limits And Continuity
- Exercises 13.2 18:19
- Limit - Part1 16:50
- Limit - Part2 26:12
- Continuity 28:15
- تمارين 13.2 الجديدة 07:04
- Relationships Between General Limits And Limits Along Smooth Curves 03:22
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(13.3) Partial Derivatives
- Exercises 13.3 35:45
- Partial Derivatives Of Functions Of Two Variables 20:02
- Partial Derivative Notation 12:42
- More Than Two Variables 12:08
- Higher-order Partial Derivatives 18:22
- Partial Derivatives and Continuity 13:12
- تمارين 13.1 الجديدة - 1 17:25
- تمارين 13.1 الجديدة - 2 19:15
- Examples ( 1 + 5 + 10 + 12 ) 11:05
- IMPLICIT PARTIAL DIFFERENTIATION 16:40
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(13.5) The Chain Rule
- Chain Rules For Derivatives 18:22
- Chain Rules For Partial Derivatives 28:46
- Other Versions Of The Chain Rule 24:08
- Implicit Differentiation 18:13
- Exercise 13.5 ( 18,20,22,29,31) 30:34
- تمارين 13.5 الجديدة - 1 18:42
- تمارين 13.5 الجديدة - 2 19:10
- Example 2 09:09
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(13.8) Maxima and Minima of Functions of Two Variables
- Exercise 13.8 - (1+2) 18:20
- Exercises (3+9) 12:40
- Exercise 13 14:09
- Exercise ( 12 + 17 + 19 ) 16:39
- Critical Points 20:42
- Finding Relative Extrema 21:02
- Finding Absolute Extrema 27:05
- Exercises ( 1+2+10) 19:04
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(13.9) Lagrange Multipliers
- تمارين 13.9 الجديدة - 2 17:51
- Exercise 11 11:39
- Exercise ( 17 + 19 ) 09:09
- Lagrange Multipliers - two variables 27:32
- Lagrange Multipliers - Three variables 15:33
- Example 4 07:41
- تمارين 13.9 الجديدة - 1 07:50
- Extra Exercises 13.9 36:23
- Extra Exercises 13.9 - 2 28:07
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(14.1) Double Integrals
- Double Integrals 31:10
- Exercises 23:29
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(14.2) Double Integrals over Nonrectangular Regions
- Exercise 15 24:47
- Iterated Integrals With Nonconstant Limits Of Integration 00:00
- A type I region 00:00
- A type II region 26:37
- Example 5 and 6 26:19
- Reversing The Order Of Integration + Area 15:22
- Exercises 33:43
- Example 2 05:58
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(14.3) Double Integrals in Polar Coordinates
- Simple Polar Regions 13:46
- Evaluating Polar Double Integrals 33:17
- Finding Areas + Converting Double Integrals 15:32
- Exercises 16:09
- Exercise 28 04:52
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(14.5) Triple Integrals
- Definition Of A Triple Integral 12:24
- More General Regions 26:58
- Volume Calculated As A Triple Integral 23:31
- Exercises 47:26
- Example 4 15:18
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(14.6) Triple Integrals in Cylindrical and Spherical Coordinates
- Triple Integrals In Cylindrical Coordinates 32:34
- Exercise ( 2+4 ) 11:40
- Exercise ( 13+17+23 ) 20:03
- Triple Integrals In Spherical Coordinates 25:28
- Exercise ( 1 + 3 ) 03:36
- Exercises 13:51
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(14.7) Change of Variables in Multiple Integrals; Jacobians
- Change Of Variables In Double Integrals 44:04
- Change Of Variables In Triple Integrals 09:59
- Exercises 37:59
- Change Of Variable In A Single Integral 07:06
- Transformations Of The Plane 20:07
- Jacobians in Two Variables 09:36
- Exercises 45 00:00
- Exercise 23 00:00
- Exercise 28 03:53
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نماذج اختبارات
- Quiz Ch 9 12:02
- نموذج كويز على Chapter 9 17:29
- حل تتوريال Ch9 - Part 1 10:19
- حل تتوريال Ch9 - Part 2 03:58
- 9.1 - 9.6 54:09
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مراجعات Chapter 9
- Chapter 9 - Part 1 01:59:45
- Chapter 9 - Part 3 16:02
- Chapter 9 - Part 2 25:02
- Chapter 9 - Part 4 32:57
- Chapter 9 - 5 27:32
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مراجعات
- Chapter 10 - Part 2 31:09
- 10.3 20:27
- 10.2 12:28
- مراجعة شاملة لدرس 14.5 36:36
- مراجعة شاملة لدرس 14.6 37:45
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Basics
- مقرر تقاضل 107 - لطالبات جامعة الاميرة نوره كلية العلوم
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Haneen has a bachelor degree in Mathematics with five years of experience in teaching math and Statistics through online.
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