Calculus I (MATH 224)

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

Total Lessonses 47 Total hours : 24:07:85 Duration Of Course 17 weeks
  • About the Course :

    Introduction to real numbers and inequalities, the definition of the function and some types limits, continuity, derivatives of functions, higher order derivatives; mean value theorem, extrema, increasing and decreasing function, the first derivative test, concavity, and the second derivative.



  • You Will Learn :

    Real Numbers and Real Line, Inequalities, Functions, The Graph of Functions, Even and Odd Functions, Composite of Functions, Trigonometric Functions, Inverse Functions, Inverse Trigonometric Functions, Definition of Limits, Properties of Limits, Techniques for Evaluating Limits, Infinite Limits, Continuity, Properties of Continuity, Properties of Continuity, Definition of Differentiation, The Relationship Between Differentiation and Continuity, Differentiation Laws, Derivative of Trigonometric, Derivative of Inverse Trigonometric Functions, Derivative of Hyperbolic, Derivative of Inverse Hyperbolic Functions, Logarithmic Functions Derivatives, Exponential Functions Derivatives, Chain Rule, Tangent Line Equations Applications of Differentiation, Implicit Differentiation, Hospital’s Rule, Rolle's Rule and the Mean Value Theorems, Using the First Derivative to Study an Increasing and Decreasing Functions, Using Differentiation to Study Concavity of Functions, Curve Sketching, Optimization Problems, and Related Rates.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 224
    * University Name : University of Bisha



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Total Lessonses 47 Total Hours 24:07:85 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
Real Numbers and Real Line and Inequalities
3 Lessons 1:12:14
Sets of Numbers and Inequalities Part1
0:24:14
Show
Recorded Session
Sets of Numbers and Inequalities Part 2
0:27:12
Closed
Recorded Session
Sets of Numbers and Inequalities Part 3
0:20:48
Closed
Recorded Session
Functions
1 Lessons 0:33:44
Functions
0:33:44
Closed
Recorded Session
Function Operation
1 Lessons 0:18:43
Functions Operations
0:18:43
Closed
Recorded Session
Even and Odd Functions
1 Lessons 0:13:57
Even and Odd Functions
0:13:57
Closed
Recorded Session
The Graph of a Functions
1 Lessons 0:30:37
Functions and Their Graphs
0:30:37
Closed
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Composite of Functions
2 Lessons 1:03:58
New Functions from old functions part 1
0:29:49
Closed
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New Functions From Old Functions part 2
0:34:09
Closed
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Trigonometric Functions
3 Lessons 1:17:23
Trigomometric Functions and Their Inverse Part 1
0:25:35
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Trigomometric Functions and Their Inverse Part 2
0:24:29
Closed
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Trigomometric Functions and Their Inverse Part 3
0:27:19
Closed
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Inverse Functions and Inverse Trigonometric Functions
1 Lessons 0:16:13
Inverse Functions
0:16:13
Closed
Recorded Session
Introduction to Limits
2 Lessons 1:01:49
Introduction to Limits Part 1
0:30:35
Closed
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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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Evaluating and Properties 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
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Limits Involving Infinity
1 Lessons 0:31:23
Limits Involving Infinity
0:31:23
Closed
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Continuity and properties of continuity
2 Lessons 1:08:31
Continuity part 1
0:31:37
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Continuity Part 2
0:36:54
Closed
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Definition of Differentiation and Tangent Line Equations Applications of Differentiation
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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The Relationship Between Differentiation and Continuity
1 Lessons 0:20:01
The Relationship Between Differentiation and Continuity
0:20:01
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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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 product and Qutient Rules
1 Lessons 0:42:20
The product and Qutient Rules
0:42:20
Closed
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Derivative of Trigonometric
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
Closed
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Derivative of Inverse Trigonometric Functions
1 Lessons 0:34:11
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
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Derivative of Hyperbolic Function and its Inverse
1 Lessons 0:09:54
Differentiation of Hyperbolic Functions
0:09:54
Closed
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Logarithmic Functions Derivatives
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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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
0:35:04
Closed
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L-Hospitals Rule
1 Lessons 0:24:17
Indeterminate Forms and Hospital Rule
0:24:17
Closed
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Using the First Derivative to Studying an 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
Recorded Session
Rolle's Role and the Mean Value Theorems
1 Lessons 0:21:34
The Mean Value Theorem
0:21:34
Closed
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Using Differentiation to Studying Concavity of Functions
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
Optimizations 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