Differential Calculus (MAT 1102)

الدوال، الحدود، التفاضل، تطبيقات التفاضل، ورسم المنحنيات.

Total Lessonses 35 Total hours : 20:36:38 Duration Of Course 17 weeks
  • About the Course :

    Limits and continuity of functions of a single variable, differentiability, differentiation methods, implicit derivation, local major and minor extremes, first and second derivative tests, concavity and inflection points, drawing curves applications on local maxima and minima mean, value theory and its applications.



  • You Will Learn :

    Definition of Limits, Limits Laws, Limits Involving Infinity, Continuity of Functions, The Derivative and The Tangent Line Problem, Differentiation Rules, Derivatives of Trigonometric Functions, The Chain Rule, Derivatives of Exponents and Logarithm Functions, Implicit Differentiation, Higher Order Derivatives, The Derivative of Inverse Functions, Extrema of Functions, The Mean Value Theorem, Increasing and Decreasing Functions, Concavity, Curve Sketching, Optimization Problems, and Related Rates.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MTH 1102
    * University Name : Umm Al-Qura University



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Total Lessonses 35 Total Hours 20:36:38 Duration Of Course 17 weeks
Introduction To Calculus
4 Lessons 1:37:46
Introduction To Calculus Part 1
0:53:02
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Recorded Session
Introduction To Calculus Part 2
0:44:44
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Introduction to Limits
2 Lessons 1:01:49
Introduction to Limits Part 1
0:30:35
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Introduction to Limits Part 2
0:31:14
Closed
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Definition of Limits
1 Lessons 0:19:49
Definition of Limits
0:19:49
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Limits Laws
3 Lessons 1:39:52
Limits Laws Part 1
0:36:19
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Limits Laws Part 2
0:36:20
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Limits Using The Limits Laws
0:27:14
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Limits Involving Infinity
1 Lessons 0:31:32
Limits Involving Infinity
0:31:23
Closed
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Limits at Infinity (Horizontal Asymptotes)
1 Lessons 0:32:05
Limits at Infinity (Horizontal Asymptotes)
0:32:05
Closed
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Continuity of Functions
2 Lessons 1:08:31
Continuity part 1
0:31:37
Closed
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Continuity Part 2
0:36:54
Closed
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The Derivatives and Tangent Line Problems
2 Lessons 1:18:51
Derivatives and Rates of Change part 1
0:39:48
Closed
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Derivatives and Rates of Change part 2
0:39:03
Closed
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Differentiation Formulas
2 Lessons 1:00:24
Differentiation Formulas Part 1
0:36:26
Closed
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Differentiation Formulas Part 2
0:23:58
Closed
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The Derivative As a Function
1 Lessons 0:27:50
The Derivative As a Function
0:27:50
Closed
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The Product and Qutient Rules
1 Lessons 0:42:20
The product and Qutient Rules
0:42:20
Closed
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Derivatives of Trigonometric Functions
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
Closed
Recorded Session
Derivatives of Exponents and Logarithm Functions
1 Lessons 0:28:50
Deivatives of polynomials and Exponential Functions
0:16:54
Closed
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Higher Ordered Derivatives
1 Lessons 0:08:18
Higher Derivatives
0:08:18
Closed
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The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
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Implicit Differentiation
1 Lessons 0:35:04
Implicate Derivatives
0:35:05
Closed
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The Derivative of Inverse Functions
1 Lessons 0:34:11
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
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How Derivatives Affect the Shape
2 Lessons 1:09:53
How Derivatives Affect the Shape of a Graph Part 1
0:32:14
Closed
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How Derivatives Affect the Shape of a Graph Part 2
0:37:39
Closed
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L-Hospitals Rule
1 Lessons 0:24:17
Indeterminate Forms & L'Hopital's Rule
0:24:17
Closed
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Extrema of Functions and Increasing and Decreasing Functions
2 Lessons 0:59:51
Minimum and Maximun Values part 1
0:28:43
Closed
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Minimum and Maximun Values part 2
0:31:10
Closed
Recorded Session
The Mean Value Theorem
1 Lessons 0:21:34
The Mean Value Theorem
0:21:34
Closed
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Concavity
1 Lessons 0:10:20
Concavity & Inflection points
0:10:20
Closed
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Curve Sketching
1 Lessons 0:45:26
Summary of Curve Sketching
0:45:26
Closed
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Optimization Problems
1 Lessons 0:19:51
Optimization Problems
0:19:51
Closed
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Related Rates
2 Lessons 1:13:20
Related Rate part 1
0:31:34
Closed
Recorded Session
Related Rate part 2
0:41:46
Closed
Recorded Session
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job