Differential Equations - Math231 (للطلاب) Math231

معادلات تفاضلية - جامعة الإمام - قسم الرياضيات - طلاب

جامعة الإمام محمد بن سعود

Created by Haneen

Last update 2021-08-29

العربية English

- First Order Differential Equations
  - Definition + Order + Degree + Linear 14:11
  - Solution of Differential Equation 26:54
  - Direct integration 08:03
  - Separable Equation 24:17
  - Homogenous Differential Equations 27:04
  - Integration Factor 17:58
  - Linear differential equation 15:42
  - Exact Equation 14:07
  - Not Exact Equation 46:03
  - Bernoulli's Equation 32:34
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- Second Order Differential Equations
  - Part 1 20:48
  - Part 2 15:28
  - Part 3 17:49
  - Part 4 30:57
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- (3.1) Definition and Examples
  - Euclidean Vector Spaces 16:04
  - Vector Space axioms - Example 11 15:14
  - Examples + Additional Properties of Vector Spaces 09:26
  - Exercise ( 1 + 2 ) 09:06
  - Exercise 3 12:53
  - Exercise 4a 20:32
  - Example 12 - 05:49
  - Exercise - 4d,4b,4e 15:18
  - Exercises 7 06:52
  - Exercises 8 03:49
  - Vector Space 04:52
- ( 3.2 ) Subspaces
  - Exercise 1 13:32
  - Exercise 2 05:46
  - Exercise 3 10:50
  - The Span of a Set of Vectors 18:51
  - Spanning Set for a Vector Space 26:12
  - Exercise 11 16:59
  - Exercise 12 10:12
  - Exercise 22 06:13
  - طريقة أخرى لحل فقرة d من تمرين 1 06:20
  - Subspace (شرح جديد ) 22:29
  - Exercise 1b + 3g,d +5a,b 19:48
  - Exercise - ( 11a,d - 12d - 15 - 20 ) 23:47
  - التمرين الخارجي 07:46
- 3.3 : Linear Independence
  - Linear dependence and linear independence 25:43
  - Exercise 2 10:26
  - Exercise 4 + 8 11:45
  - Exercises 1 09:53
- 3.4 : Basis and Dimension
- (6.1) : Introduction to Linear Transformations
  - linear transformation 28:23
  - Exercise 6.1 31:14
  - Exercise 6 + 7 10:12
  - Exercise 9 06:19
  - Exercise 5 13:28
- (5.2 ) : Inner Product Spaces
  - Inner Product Spaces - 1 26:08
  - Inner Product Spaces - 2 18:14
  - Exercises 24:40
  - Exercise 5.2 49:30
  - شرح شروط الضرب الداخلي بالتفصيل 45:17
- (7.2) : Eigenvalues and Eigenvectors
  - Eigenvalues and Eigenvectors - 1 27:02
  - Eigenvalues and Eigenvectors - 2 21:04
  - Exercises 7.2 19:59
  - Exercise 1 ( f + g + i ) 14:49
  - Exercise 2 07:05
  - Exercise 4 04:59
  - Example 4 04:19
- مراجعات قديمة
  - مُراجعة درس 4.2 18:28
  - مُراجعة درس 4.3 28:46
  - مُراجعة درس 4.5 13:09
  - مُراجعة درس 4.6 14:54
  - مُراجعة درس 4.9 07:26
  - مُراجعة درس 6.1 09:45
  - مُراجعة درس 6.2 12:20
  - مُراجعة درس 6.3 09:07
  - مُراجعة درس 6.5 16:02
  - مُراجعة درس 6.7 + 6.8 19:00
- CH7 : (7.2) Integration By Parts
  - The Product Rule And Integration By Parts 11:39
  - Guidelines For Integration By Parts 12:38
  - Repeated Integration By Parts 23:09
  - A Tabular Method For Repeated Integration By Parts 13:57
  - Integration By Parts For Definite Integrals 12:00
  - Reduction Formulas 07:05
  - لايف درس 7.2
  - Exercises 7.2 53:41
  - Live 7.2 2023 - Third term 52:18
- Live
  - Live 7.2 2023 - Third term
  - 7.2
- Live First Term 2024/2025
  - Live 4.2 01:09:03
  - 4.3 01:06:00
  - 4.5 44:39
- Live Second term
  - 4.2 01:12:12
  - 4.3 - 1 01:09:41
  - 4.3 - 2 18:26
  - 4.5 41:12
  - Live Q1 01:11:33
  - Live Mid 1 01:13:46
  - Live 7.4 01:07:22
- النقاط الأساسية من كل فصل
  - مراجعة للنقاط الأساسية ( Ch4 + Ch6 + Ch7 ) 01:07:05
  - مراجعة Ch9 26:29
  - ملخص CH4 37:02
- (10.2) Polar Coordinates
  - Polar Coordinate Systems 14:09
  - Relationship Between Polar & Rectangular Coordinates 16:27
  - Graphs In Polar Coordinates 18:41
  - Symmetry Tests 15:59
  - Families Of Curves 09:06
  - تمارين 10.2 السابقة 26:33
  - Exercises Plus 13:54
  - FAMILIES OF SPIRALS 01:32
- ( 10.3 ) Tangent Lines, Arc Length, And Area For Polar Curves
  - Arc Length of A Polar Curve 18:02
  - Area In Polar Coordinates 52:15
  - Exercises 10.3 57:29
  - Exercises (New) 34:05
- 10.4 Conic Sections
  - Parabola 13:51
  - Ellipse 15:53
  - Hyperbolas 12:17
- (10.6) Conic Sections In Polar Coordinates
  - The Focus–directrix Characterization Of Conics 14:04
  - Polar Equations Of Conics 17:34
  - Sketching Conics In Polar Coordinates 08:54
  - Ellipse 16:15
  - Hyperbola 15:00
  - Exercises 10.6 - Part1 12:41
  - Exercises 10.6 - Part2 08:38
  - Exercise 5 06:00
  - شرح الرسم للقطوع المخروطية 41:42
- (11.2) VECTORS
  - Vectors 14:23
  - Vectors In Coordinate Systems 14:10
  - Vectors In Coordinate Systems - Part2 22:13
  - Norm Of A Vector 07:37
  - Vectors determined by length and a vector n the same direction 03:17
  - Exercises 11.2 27:23
- (11.3) Dot Product; Projections
  - Exercises 11.3 17:17
  - Dot Product 33:31
  - Example 4 (Angle between a diagonal of a cube and one of its edges) 04:42
- (11.4) Cross Product
  - Cross Product 35:37
  - Scalar Triple Products 06:17
  - Exercises 11.4 33:33
  - Example 4 (The area of the Triangle ) 05:06
  - Algebraic properties of the scalar triple product 01:40
  - Geometric properties of the scalar triple product 04:31
- (11.5) Parametric Equations of Lines
  - Parametric Equations of Lines 31:22
  - New Exercises 13:28
  - Line segments 03:25
  - Vector equations of lines 04:34
- (11.6) Planes in 3-Space
  - Planes Determined by a Point and a Normal Vector 35:18
  - Exercises 11.6 22:17
  - Intersecting Planes + The Distance 14:39
  - New Exercises 11:19
  - Example 10 ( Distance between Lines ) 10:29
- 11.7 Quadric Surfaces
  - Quadric Surfaces 28:17
- (11.8) Cylindrical and Spherical Coordinates
  - Exercises 11.8 32:46
  - Cylindrical And Spherical Coordinate Systems 27:08
  - New Exercises 22:13
  - CONSTANT SURFACES 05:58
- (13.1) Functions of Two or More Variables
  - Exercises 13.1 17:00
  - Functions + Domains 36:09
  - تمارين 13.1 الجديدة 19:43
- (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
- (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
- (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
  - Example 2 09:09
- (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
- (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
- (14.1) Double Integrals
  - Double Integrals 31:10
  - Exercises 23:29
- (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
- (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
- (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
- (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
- (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
- TOTURIAL
  - 10.1
  - 10.2 12:06
  - 11.2 - يرجى قراءة الملاحظه أسفل الفيديو 10:44
  - 11.3 07:11
  - 11.4 + 11.5 + 11.6 22:34
  - New - 11.6 23:38
  - New 11.7 16:00
  - New 11.8 12:44
  - New 13.1 18:02
  - 13.3 - 13.3 - 13.5 34:28
- الإجابة على الاستفسارات
  - حدود التكامل 10:01
  - كيف نوجد الزوايا ؟ 09:12
- مراجعات
  - Chapter 10 - Part 1 46:14
  - Chapter 11 31:59
  - Chapter 10 - Part 2 31:09
  - 10.3 20:27
  - 10.2 12:28
  - 11.5 21:37
  - 11.6 31:32
  - قواعد تكامل 19:08
- حل نماذج اختبارات
  - Mid 2 - Part1 20:31
  - Quiz Part 1 18:28
  - Model Exam 1 - مهم قراءة الوصف 16:00
  - Model Exam 2 16:43
  - Quiz Part 2 07:20
  - Ch 13 - Part 1 28:48
  - Ch 13 - Part 2 19:21
  - نموذج ميد على تشابتر 14 23:52
  - Mid 2 - Part2 06:22
  - نموذج كويز على Ch13 17:06
  - نموذج الفاينل 01:03:27
  - Modal Exam 3 ( نموذج ميد سابق ) 16:59
  - Mid 2 - Part 3 21:01
  - 13.3 - 13.3 - 13.5 35:15
- مراجعات الفاينل
  - مراجعة 14.1
  - مراجعة 14.2
  - مراجعة 14.3
  - مراجعة شاملة لدرس 14.5
  - مراجعة شاملة لدرس 14.6
  - 13.1
  - 13.2
  - 13.3
  - 13.5
  - 13.8
  - 10.1 - Part1 30:49
  - 10.2 - Part 1 44:18
  - 10.2 - Part 2 28:43
  - 10.3 طريقة تحديد الحدود للتكامل 22:00
  - مراجعة + نموذج اختبار Ch11 34:48
  - مراجعة شاملة ( نهائية لـ Ch10 ) + نموذج اختبار 33:46
- (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
معادلات تفاضلية - جامعة الإمام - قسم الرياضيات - طلاب
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