Calculus I (MATH 103)

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

Total Lessonses 55 Total hours : 29:45:53 Duration Of Course 17 weeks
  • About the Course :

    This course covers the following subjects: real numbers and real lines—inequalities functions: the graph of a function; even and odd functions; composites of functions; trigonometric functions; inverse functions; inverse trigonometric functions; limits; properties of limits; techniques for evaluating limits; infinite limits continuity; properties of continuity; differentiation; the relationship between differentiation and continuity; differentiation laws derivative of trigonometric and inverse trigonometric functions; derivative of hyperbolic and inverse hyperbolic functions; logarithmic and exponential functions and their derivatives – using the first derivative to studying an increasing and decreasing functions, chain rule, implicit differentiation; L’Hospital's rule; Rolle’s rule and the mean value theorems using differentiation to study the concavity of functions and some applications of differentiation.



  • 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, 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 103
    * University Name : Al-Baha University



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Total Lessonses 55 Total Hours 29:45:53 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 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
Functions Operations
1 Lessons 0:18:43
Functions Operations
0:18:43
Closed
Recorded Session
Exponential Functions
2 Lessons 1:01:03
Exponential Functions part 1
0:32:33
Closed
Recorded Session
Exponential Functions Part 2
0:28:30
Closed
Recorded Session
Even and Odd Functions
1 Lessons 0:13:57
Even and Odd Functions
0:13:57
Closed
Recorded Session
Composite of Functions
2 Lessons 1:03:58
New Functions from old functions part 1
0:29:49
Closed
Recorded Session
New Functions from old functions part 2
0:34:09
Closed
Recorded Session
Trigonometric Functions and Their Inverse
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
Recorded Session
Inverse Functions
2 Lessons 0:58:31
Inverse Functions
0:16:13
Closed
Recorded Session
Inverse functions and Logarithms
0:42:18
Closed
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The Graph of Functions
1 Lessons 0:30:37
Functions and Their Graphs
0:30:37
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
Closed
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Techniques For Evaluating Limits
2 Lessons 1:12:39
Limits Laws Part 1
0:36:19
Closed
Recorded Session
Limits Laws Part 2
0:36:20
Closed
Recorded Session
Properties of Limits
1 Lessons 0:27:13
Limits Using The Limits Laws
0:27:13
Closed
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Infinite Limits
1 Lessons 0:31:23
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 and properties
2 Lessons 1:08:31
Continuity part 1
0:31:37
Closed
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Continuity Part 2
0:36:54
Closed
Recorded Session
Definition of Differentiation and Tangent Line Equations
2 Lessons 1:18:51
Derivatives and Rates of Change part 1
0:39:48
Closed
Recorded Session
Derivatives and Rates of Change part 2
0:39:03
Closed
Recorded Session
The Relationship Between Differentiation and Continuity
1 Lessons 0:20:01
‏Differential Functions and Continuity
0:20:01
Closed
Recorded Session
Differentiation Laws
2 Lessons 1:00:24
Differentiation Formulas Part 1
0:36:26
Closed
Recorded Session
Differentiation Formulas Part 2
0:23:58
Closed
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Deivatives of polynomials and Exponential Functions
1 Lessons 0:16:54
Deivatives of polynomials and Exponential Functions
0:16:54
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
Recorded Session
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
Recorded Session
Hyperbolic Functions
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Inverse Hyperbolic Functions
1 Lessons 0:08:08
‏Inverse Hyperbolic Functions
0:08:08
Closed
Recorded Session
Exponential Functions Derivatives
1 Lessons 0:14:53
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
Logarithmic Functions Derivatives
1 Lessons 0:13:57
Derivative of Natural Logarithms
0:13:57
Closed
Recorded Session
Chain Role's
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
Recorded Session
Hospital’s Role
1 Lessons 0:24:17
Hopitals Rule
0:24:17
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 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
Recorded Session
Minimum and Maximun Values part 2
0:31:09
Closed
Recorded Session
Using Differentiation to Studying Concavity of Functions
1 Lessons 0:10:20
Concavity & Inflection points
0:10:20
Closed
Recorded Session
Curve Sketching
3 Lessons 1:55:19
How Derivatives Affect the Shape of a Graph Part 1
0:32:14
Closed
Recorded Session
How Derivatives Affect the Shape of a Graph Part 2
0:37:39
Closed
Recorded Session
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
Recorded Session
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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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job