Calculus I (MTH 104)

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

Total Lessonses 37 Total hours : 21:42:38 Duration Of Course 17 weeks
  • About the Course :

    This three-credit course provides a basic background on the limits and continuity of the functions of a single variable, topics also include differentiability and techniques of differentiation, Implicit differentiation, local extrema, first and second derivatives tests for local extrema, concavity and inflection points, curve sketching, applied extrema problems, the mean value theorem, and applications.



  • You Will Learn :

    Definition of Limits, Computation of Limits, Limits Involving Infinity, Asymptotes, Continuity, Tangent Line and Rates of Change, Techniques of Differentiation, The Product and Quotient Rules, Derivatives of Exponential Functions, Derivatives of Logarithms Functions, Derivatives of Trigonometry Functions, Derivatives of Inverse Trigonometric Functions, Derivatives of Hyperbolic Functions, The Chain Rule, Parametric Differentiations, Implicit Differentiation, Maximum and Minimum Values, Increasing and Decreasing Functions, Concavity and Second Derivatives Test, L’Hospital’s Rule, Indeterminate Forms, Rolle’s Theorems, Mean Value Theorem, and Sketching Functions Graphs.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MTH 104
    * University Name : Al-Yamamah University



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Total Lessonses 37 Total Hours 21:42:38 Duration Of Course 17 weeks
Introduction To Calculus
2 Lessons 1:37:46
Introduction To Calculus Part 1
0:53:02
Show
Recorded Session
Introduction To Calculus Part 2
0:44:44
Show
Recorded Session
The Idea Of 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
Recorded Session
Definition of Limits
1 Lessons 0:19:49
Definition of Limits
0:19:49
Closed
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Techniques For Computing Limits
3 Lessons 1:39:52
Limits Laws Part 1
0:36:19
Closed
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Limits Laws Part 2
0:36:20
Closed
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Limits Using The Limits Laws
0:27:14
Closed
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Limits at Infinity
1 Lessons 0:31:23
Limits Involving Infinity
0:31:32
Closed
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Asymptotes
1 Lessons 0:32:05
Limits at Infinity (Horizontal Asymptotes)
0:32:05
Closed
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Continuity
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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Introduction to Derivatives
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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Rules of Derivatives
4 Lessons 1:45:08
Differentiation Formulas Part 1
0:36:26
Closed
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Differentiation Formulas Part 2
0:23:58
Closed
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Deivatives of polynomials and Exponential Functions
0:16:54
Closed
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The Derivative as a Function
0:27:50
Closed
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The Product and Quotient Rules
1 Lessons 0:42:20
The Product and Quotient Rules
0:42:20
Closed
Recorded Session
Derivatives of Trigonometric Functions
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
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
Implicit Differentiation
0:35:04
Closed
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Derivatives of Logarithms Functions
1 Lessons 0:13:57
Derivative of Natural Logarithms
0:13:57
Closed
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Derivatives of Exponential Functions
1 Lessons 0:14:53
Derivative of Natural Exponents
0:14:53
Closed
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Derivatives of Inverse Trigonometric Functions
1 Lessons 0:34:11
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
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Mean Value Theorem and Rolls Theorems
1 Lessons 0:21:34
The Mean Value Theorem
0:21:34
Closed
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Maximum and Minimum values and Increasing and Decreasing Functions
2 Lessons 0:59:51
Minimum and Maximun Values part 1
0:28:42
Closed
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Minimum and Maximun Values part 2
0:31:09
Closed
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Concavity
1 Lessons 0:10:20
Concavity & Inflection points
0:10:20
Closed
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Sketching Functions Graphs
3 Lessons 1:52:19
Second Ordered Derivatives and Functions Graph part 1
0:32:14
Closed
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Second Ordered Derivatives and Functions Graph part 2
0:37:39
Closed
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Summary of Curve Sketching
0:45:26
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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Partial Differentiations
1 Lessons 0:35:40
Parametric Equations
0:35:40
Closed
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Related Rates
2 Lessons 1:13:20
Related Rate part 1
0:31:34
Closed
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Related Rate part 2
0:41:46
Closed
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Optimization Problems
1 Lessons 0:19:51
Optimization Problems
0:19:51
Closed
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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job