تفاضل 1 - جامعة المجمعة Math113
مقرر تفاضل 1 - لطلاب وطالبات المجمعة .
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- أساسيات الرياضيات
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1.1: Function
- Function 30:30
- 1.2: The Concept of Limit
- 1.3: Computation of Limits
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1.4: Continuity and Its Consequences
- Definition 4.1 11:29
- Definitions + Theorem 14:19
- Examples 41:08
- Definition 4.2 09:11
- More Examples 20:21
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1.5 : Limits Involving Infinity; Asymptotes
- Part 1 09:44
- Part 2 11:35
- Asymptotes - 1 28:29
- Asymptotes - 2 16:21
- Slant asymptote 09:57
- Exercises (1-10) 13:04
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2.1: Tangent line
- Tangent Line 17:50
- Example 4 04:25
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2.2 : Computation of Derivatives: The Power Rule
- The Power Rule 13:47
- General Derivative Rules 08:18
- 2.3 Higher Order Derivatives
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2.4 The Product and Quotient Rules
- Product and Quotient Rule 12:08
- Exercises 49:35
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2.5 : The Chain Rule
- The Chain Rule 25:33
- Exercises 20:52
- 2.6 : Derivatives of Trigonometric Functions
- 2.7 :Inverse Trigonometric Functions
- 2.9 : Derivatives of Exponential and Logarithmic Functions
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2.8 : Implicit Differentiation and Inverse Trigonometric Functions
- Implicit Differentiation 32:31
- Exercises 02:10
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3.1: Linear Approximations
- Linear Approximations 11:17
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3.2 Indeterminate forms and L’hopital’s rule ˆ
- L’hopital’s rule 24:48
- Indeterminate Form ∞−∞ , 0 · ∞ , 1^∞ 17:47
- Exercise 19:44
- Example 2.9 + 2.10 09:19
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3.3 Maximum and Minimum Values
- Absolute Extremum 23:05
- Local Extremum 12:02
- Critical Number 32:17
- Theorem 3.3 18:41
- Exercises - Part 1 20:00
- Exercises - Part 2 13:08
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3.4 Increasing and Decreasing Functions
- DEFINITION 4.1 21:33
- First Derivative Test 31:09
- Exercises 21:50
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3.5 Concavity and the Second Derivative Test
- Concave up and concave down 28:33
- Second Derivative Test 14:21
- Exercises 09:26
- 3.6: Overview of Curve Sketching
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3.7 The Mean Value Theorem
- Rolle’s Theorem 13:27
- Mean Value Theorem 02:53
- Exercises - Part 2 15:07
- EXAMPLE 10.5 10:40
- Exercises - Part 1 11:08
- 3.6: Optimization
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3.7: RELATED RATES
- Example 07:21
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3.8: Rate of Change in Economics
- Example 06:19
- 4.1 : Antiderivatives
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4.2 : The Definite Integra
- The Fundamental Theorem of Calculus, Part | 25:54
- Exercises - 1 09:58
- Exercises - 2 06:41
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4.3 : Integration By Substitution
- Substitution in indefinite Integrals 45:46
- Substitution in Definite Integrals 13:04
- Exercises - 2 10:18
- Exercises - 1 07:47
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Areas between Curves
- Areas between Curves 14:11
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Integration by Parts
- 4.3 Integration by Parts 23:05
- مُراجعة النهايات
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مراجعة الفاينل
- Ch1 01:13:19
- Ch2 - Part 1 34:43
- Ch2 - Part 2 20:40
- Ch 3 ( ملاحظه مهمة أسفل الفيديو ) 41:19
- Ch 4 16:43
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نماذج اختبارات
- Mid 1 - Q1 14:03
- Mid 1 - Q2 10:16
- Mid 1 - Q3 10:37
- Mid 1 - Q4 15:36
- Mid 2 ( Ch2 + 3.2 ) 21:42
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دراسة ذاتية
مقرر تفاضل 1 - لطلاب وطالبات المجمعة . -
Haneen has a bachelor degree in Mathematics with five years of experience in teaching math and Statistics through online.
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