Calculus I (MATH 203)

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

Total Lessonses 50 Total hours : 27:55:30 Duration Of Course 17 weeks
  • About the Course :

    The course begins with the study of introductions to derivatives of functions with trigonometry functions, logarithmic, exponential, and hyperbolic functions derivatives, extrema values concavity, sketching of functions, rate of change, application of extrema values, integrations and definitions of integrations, evaluating area and volumes.



  • You Will Learn :

    Tangent Lines and Rates of Change, The Derivative Function, Introduction to Techniques of Differentiation, The Product and Quotient Rules, Derivatives of Trigonometric Functions, The Chain Rule, Implicit Differentiation, Derivative of Logarithmic Functions, Derivatives of Exponential and Inverse Trigonometric Functions, L'Hopital's Rule; Indeterminate Forms, Analysis of Function I: Increase, Decrease, and Concavity, Analysis of Function II: Relative Extrema; Graphing Polynomials, Absolute Maxima and Minima, Applied Maximum and Minimum Problems, Rolle's Theorem; Mean Value Theorem, An Overview of the Area Problem, The Indefinite Integral, Integration by Substitution, The Definition of Area as a Limit; Sigma Notation, The Definite Integral, The Fundamental Theorem of Calculus, Evaluating Definite Integrals by Substitution, and Logarithmic and Other Functions Defined by Integrals.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 203
    * University Name : Taibah University



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Total Lessonses 50 Total Hours 27:55:30 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
Tangent-Lines-and-Rates-of-Change
2 Lessons 1:18:51
Derivatives and Rates of Change part 1
0:39:48
Show
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
Recorded Session
Differentiation Formulas Part 2
0:23:58
Closed
Recorded Session
Deivatives of polynomials
1 Lessons 0:16:54
Deivatives of polynomials
0:16:54
Closed
Recorded Session
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
0:41:34
Closed
Recorded Session
The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
Recorded Session
Implicate Derivatives
1 Lessons 0:35:04
Implicit Differentiation
0:35:04
Closed
Recorded Session
Derivative of Logarithmic Functions
1 Lessons 0:13:57
Derivative of Natural Logarithms
0:13:57
Closed
Recorded Session
Derivatives of Exponential and Inverse Trigonometric Functions
1 Lessons 0:13:57
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
Derivatives of Inverse Functions
1 Lessons 0:34:11
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
Recorded Session
Hyperbolic Functions and Derivatives of Hyperbolic Functions
3 Lessons 0:44:27
Hyperbolic Functions
0:26:25
Closed
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Inverse Hyperbolic Functions
0:08:08
Closed
Recorded Session
Differentiation of Hyperbolic Functions
0:09:54
Closed
Recorded Session
Higher Ordered Derivatives
1 Lessons 0:08:18
Higher Derivatives
0:08:18
Closed
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L'Hopital's Rule; Indeterminate Forms
1 Lessons 0:24:17
Hopital's Rule; Indeterminate Forms
0:24:17
Closed
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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
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Concavity
1 Lessons 0:10:20
Concavity & Inflection points
0:10:20
Closed
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Second Orders Derivatives and
2 Lessons 1:09:53
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
Recorded Session
Sketching Graphs
1 Lessons 0:45:26
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
Antiderivatives
1 Lessons 0:29:25
Antiderivatives and Infinite Integrals
0:29:25
Closed
Recorded Session
Summation vs. Integration
3 Lessons 1:17:46
Summation Notation part 1
0:22:36
Closed
Recorded Session
Summation Notation part 2
0:16:21
Closed
Recorded Session
Reiman Sum and Definite Integrals
0:38:49
Closed
Recorded Session
The Idea of an Integral
1 Lessons 1:22:52
Integrals
1:22:52
Closed
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Indefinite Integrals
4 Lessons 2:16:32
Indefinite Integrals part1
0:21:07
Closed
Recorded Session
Indefinite Integrals part 2
0:29:54
Closed
Recorded Session
Indefinite Integrals part 3
0:14:01
Closed
Recorded Session
Indefinite Integratioon and The NET ChangeTheorem
1:11:30
Closed
Recorded Session
Integrals by Substitutions
1 Lessons 0:36:20
Integration By Substitution
0:36:20
Closed
Recorded Session
Numerical Integration
1 Lessons 0:21:27
Numarical Integration
0:21:27
Closed
Recorded Session
Definite Integrals and _Mean Value Theorem of Integration
1 Lessons 0:23:00
Definite Integrals and _Mean Value Theorem of Integration
0:23:00
Closed
Recorded Session
The Fundamental Theorem and Its Consequences
1 Lessons 0:35:37
The Fundamental Theorem of Calculus
0:35:37
Closed
Recorded Session
The Natural Logarithms and The Exponential Functions Derivatives
2 Lessons 0:28:50
Derivative of Natural logarithms
0:13:57
Closed
Recorded Session
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
The General Exponential Function and Logarithms Functions Integration
3 Lessons 1:27:55
Integration Using Exponential Functions Part 1
0:48:25
Closed
Recorded Session
Integration Using Exponential Functions Part 2
0:14:27
Closed
Recorded Session
Integration Using Natural Logarithms
0:25:03
Closed
Recorded Session
Inverse Trigonometric and Hyperbolic Functions
1 Lessons 0:34:55
Integration of Inverse Trigonometric Functions
0:34:55
Closed
Recorded Session
Indeterminant Forms and Hospitals Rule
1 Lessons 0:37:23
Hospital Rule
0:37:23
Closed
Recorded Session
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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job