Calculus I (MATH 101)

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

Total Lessonses 47 Total hours : 24:36:28 Duration Of Course 17 weeks
  • About the Course :

    Functions, trigonometry functions, limits, continuity of functions of a single variable differentiability, techniques of differentiation, implicit differentiation, local extrema, first and second derivative tests for local extrema concavity and inflection points. curve sketching. applied extrema problems. the mean value theorem and applications.



  • You Will Learn :

    Functions, Trigonometry Functions, 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, Related Rates, 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 Optimizations Problems.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 101
    * University Name : Fahad Bin Sultan University



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Total Lessonses 47 Total Hours 24:36:28 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
Functions
5 Lessons 2:24:07
Functions
0:33:44
Show
Recorded Session
Functions Operations
0:18:43
Closed
Recorded Session
Exponential Functions part 1
0:32:33
Closed
Recorded Session
Exponential Functions Part 2
0:28:30
Closed
Recorded Session
Functions and Their Graphs
0:30:37
Closed
Recorded Session
Trigonometry Functions
3 Lessons 1:17:23
Trigomometric Functions and Their Inverse Part 1
0:25:35
Closed
Recorded Session
Trigomometric Functions and Their Inverse Part 2
0:24:29
Closed
Recorded Session
Trigomometric Functions and Their Inverse Part 3
0:27:19
Closed
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Introduction to limits
2 Lessons 1:01:49
Introduction to Limits Part 1
0:30:35
Closed
Recorded Session
Introduction to Limits Part 2
0:31:14
Closed
Recorded Session
Definition of limits
1 Lessons 0:19:49
Definition of Limits
0:19:44
Closed
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Computation of 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
0:27:13
Closed
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Limits Involving Infinity
1 Lessons 0:31:23
Limits Involving Infinity
0:31:23
Closed
Recorded Session
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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Tangent Line and Rates of Change
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
Recorded Session
The Derivative As a Function
1 Lessons 0:27:50
The Derivative As a Function
0:27:50
Closed
Recorded Session
Techniques of Differentiation
2 Lessons 1:00:24
Differentiation Formulas Part 1
0:36:26
Closed
Recorded Session
Differentiation Formulas Part 2
0:23:58
Closed
Recorded Session
The Product and Quotient Rules
2 Lessons 59:14
Deivatives of polynomials and Exponential Functions
0:16:54
Closed
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The product and Qutient Rules
0:42:20
Closed
Recorded Session
Derivatives of Exponential Functions
1 Lessons 0:14:53
Derivative of Natural Exponents
0:14:53
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 Trigonometry Functions
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
Closed
Recorded Session
Higher Derivatives
1 Lessons 0:08:18
Higher Derivatives
0:08:18
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
Recorded Session
The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
Recorded Session
Implicit Differentiation
1 Lessons 0:35:04
Implicate Derivatives
0:35:04
Closed
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Hyperbolic Functions
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Parametric Differentiations
1 Lessons 0:35:40
Parametric Equations
0:35:40
Closed
Recorded Session
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
Recorded Session
L’Hospital’s Rule
1 Lessons 0:24:17
L'Hopital's Rule
0:24:17
Closed
Recorded Session
Maximum and Minimum values and Increasing and Decreasing Functions
2 Lessons 0:59:51
Minimum and Maximun Values part 1
0:28:42
Closed
Recorded Session
Minimum and Maximun Values part 2
0:31:09
Closed
Recorded Session
Mean Value Theorem and Rolle’s Theorems
1 Lessons 0:21:34
The Mean Value Theorem
0:21:34
Closed
Recorded Session
Concavity and Second Derivatives Test
1 Lessons 0:10:20
Concavity & Inflection points
0:10:20
Closed
Recorded Session
Curve Sketching
3 Lessons 1:55:19
Functions Graph Part 1
0:32:14
Closed
Recorded Session
Functions Graph Part 2
0:37:39
Closed
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Summary of Curve Sketching
0:45:26
Closed
Recorded Session
Optimizations Problems
1 Lessons 0:19:51
Optimization Problems
0:19:51
Closed
Recorded Session
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job