Calculus I (MATH 101)

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

Total Lessonses 54 Total hours : 27:53:78 Duration Of Course 17 weeks
  • About the Course :

    The course starts with the study of real numbers, equations and inequalities, functions, the basic tools of calculus, their algebra and families of functions, the basic concepts and the limit of a function, and the continuity of a function. Then it introduces some special functions such as trigonometric, logarithmic, exponential, and hyperbolic functions. Finally, the course covers polar coordinates and complex numbers.



  • You Will Learn :

    Sets of Numbers, Linear Inequalities, Linear Inequalities with Absolute Value, Quadratic and Rational Inequalities, Functions (Domain and Range), Even and Odd Functions, Composite Functions, One to One Functions and Inverse Functions, Angles Measures and Trigonometry Functions, Unite Circle and Trigonometry Functions, Limits and Limits Law, Evaluating Limits, Squeeze Theorem, Limits of Trigonometry Functions, Limits Goes to Infinity, Asymptotes, Continuity, Intermediate Value Theorems, Slope and Tangent Line Equations, Derivative Rules, Derivatives and Continuity, Products and Quotient Rule of Derivatives, Derivatives of Trigonometry Functions, Chain Rule, Implicit Derivatives, Higher Ordered Derivatives, Extrema Values and Critical Points, Mean Value Theorem, Second Orders Derivatives and Concavity, and Sketching Graphs.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 101
    * University Name : King Khalid University



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Total Lessonses 54 Total Hours 27:53:78 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
Sets of 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
Linear Inequalities with Absolute Value
1 Lessons 0:36:47
Absolute Value
0:36:47
Closed
Recorded Session
Quadratic and Rational Inequalities
1 Lessons 0:19:19
‏Quadratic and Rational Inequality
0:19:19
Closed
Recorded Session
Functions (Domain and Range)
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
Even and Odd Function and Composite Functions
3 Lessons 1:17:55
‏Even and Odd Functions
0:13:57
Closed
Recorded Session
New Functions from old functions1
0:29:49
Closed
Recorded Session
New Functions from old functions part 2
0:34:09
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
One to One Functions and Inverse Functions
1 Lessons 0:16:13
Inverse Functions
0:16:13
Closed
Recorded Session
Functions and Their Graphs
1 Lessons 0:30:37
Functions and Their Graphs
0:30:37
Closed
Recorded Session
Angles Measures , Unite Circle and Trigonometry Functions
3 Lessons 1:17:23
Trigomometric Functions and Their Inverse Part 1
0:25:35
Closed
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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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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
Recorded Session
Limits
1 Lessons 0:19:49
Definition of Limits
0:19:49
Closed
Recorded Session
Limits Law and Evaluating Limits
4 Lessons 1:39:52
Limits Laws Part 1
0:36:19
Closed
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Limits Laws Part 2
0:31:14
Closed
Recorded Session
Limits Using The Limits Laws
0:27:13
Closed
Recorded Session
Limits of Trigonometry Functions
1 Lessons 0:16:43
‏Limits of Trigonometry Functions
0:16:43
Closed
Recorded Session
Limits Goes to Infinity
1 Lessons 0:31:23
Limits Involving Infinity
0:31:23
Closed
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Asymptotes
1 Lessons 0:32:05
Limits at Infinity (Horizontal Asymptotes)
0:32:05
Closed
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Squeeze Theorem
1 Lessons 0:08:12
‏Squeeze Theorem
0:08:12
Closed
Recorded Session
Continuity
2 Lessons 1:08:31
Continuity part 1
0:31:37
Closed
Recorded Session
Continuity Part 2
0:36:54
Closed
Recorded Session
Intermediate Value Theorems
1 Lessons 0:18:30
‏Intermediate Value Theorem
0:18:30
Closed
Recorded Session
Slope 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 Derivative As a Function
1 Lessons 0:27:50
The Derivative As a Function
0:27:50
Closed
Recorded Session
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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Derivatives Rules
1 Lessons 0:16:54
Deivatives of polynomials and Exponential Functions
0:16:54
Closed
Recorded Session
Derivatives and Continuity
1 Lessons 0:20:01
‏Differential Functions and Continuity
0:20:01
Closed
Recorded Session
Products and Quotient Rule of Derivatives
1 Lessons 0:42:20
The product and Qutient Rules
0:42:20
Closed
Recorded Session
Derivatives of Trigonometry Functions
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
Closed
Recorded Session
Derivatives of Exponential and Logarithms Functions
2 Lessons 0:28:50
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
Derivative of Natural Logarithms
0:13:57
Closed
Recorded Session
Derivatives for Logrithmic and Inverse Trigonometric Functions0:34:
1 Lessons 0:34:11
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
Recorded Session
Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
Recorded Session
Implicit Derivatives
1 Lessons 0:35:04
Implicit Derivatives
0:35:04
Closed
Recorded Session
Higher Ordered Derivatives
1 Lessons 0:08:18
Higher Derivatives
0:08:18
Closed
Recorded Session
Extrema Values and Critical Points
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
1 Lessons 0:21:34
The Mean Value Theorem
0:21:34
Closed
Recorded Session
Second Orders Derivatives and Concavity
1 Lessons 0:10:20
Concavity & Inflection points
0:10:20
Closed
Recorded Session
second ordered derivatives and Functions Graph
2 Lessons 1:09:53
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
Sketching Graphs
1 Lessons 0:45:26
Summary of Curve Sketching
0:45:26
Closed
Recorded Session
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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job