Calculus II (MATH 102)

تعريف التكامل ومبادئ التكاملات، وإيجاد المساحات والأحجام، وطول المنحنى لدالة محددة، والمتتابعات، والمتسلسلات.

Total Lessonses 38 Total hours : 20:34:25 Duration Of Course 17 weeks
  • About the Course :

    Definition of definite integral using the Reiman sum and its properties, the mean value theorem of integration, the fundamental theorem of differential calculus integration, the original function, definition of infinite integration), integration of functions transcendence: integration and inverse of trigonometric functions, definition of exponential and logarithmic functions, hyperbolic, inverse hyperbolic, integrals of exponential and logarithmic functions, and hyperbolic functions and their inverse (indefinite integration and methods of integration:) integration by substitution, integration by division, integrations of powers of trigonometric functions, substitution trigonometry , integrations of quadratic formulas , integration with partial fractions, substitutions other (unassigned values: (definition of unassigned values and how to deal with them, L’Hopital's rule, application to improper integrals (applications to integration:) finding areas, surfaces, rotational volumes, and lengths of curves), polar coordinates: polar coordinates, the relationship between polar and cartesian coordinates , curves in polar coordinates , calculate areas using polar coordinates.



  • You Will Learn :

    Definition of Definite Integral using the Reiman sum, Properties Definite Integral, The Fundamental Theorem of Differential Calculus Integration, The Original Function, Definition of Infinite Integration, The Mean Value Theorem of Integration, Integration of Trigonometric Functions, Integration of Inverse Trigonometric Functions, Derivatives of Exponential and Logarithmic Functions, Integrals of Exponential and Logarithmic Functions, Derivatives Hyperbolic Functions, Derivatives of Inverse Hyperbolic Functions, Integrations Hyperbolic Functions, Integrations of Inverse Hyperbolic Functions, Integration by Substitution, Integration by Parts, Integration by Division, Integrations of Powers of Trigonometric Functions, Substitution Trigonometry, Integrations of Quadratic Formulas, Integration With Partial Fractions, L'Hopital's Rule, Application to Improper Integrals, Finding Areas, Surfaces Areas, Rotational Volumes, Lengths of Curves, Polar Coordinates, The Relationship Between Polar and Cartesian Coordinates, Curves in Polar Coordinates, and Calculate Areas Using Polar Coordinates.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 102
    * University Name : Mustaqbal University



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Total Lessonses 38 Total Hours 20:34:25 Duration Of Course 17 weeks
Original Function and Definition of Definite Integral Using The Reiman Sum
2 Lessons 1:08:14
Antiderivatives and Infinite Integrals
0:29:25
Show
Recorded Session
Remian Sum and Definite integrals
0:38:49
Show
Recorded Session
Integrals
1 Lessons 1:22:52
Integrals
1:22:52
Show
Recorded Session
Indefinite Integrals and the NET Change Theorem
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
The Fundamental Theorem of Differential Calculus Integration
1 Lessons 0:35:37
The Fundamental Theorem of Calculus
0:35:37
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
Strategy For Integration
1 Lessons 0:23:15
Strategy For Integration
0:23:15
Closed
Recorded Session
Integration of Trigonometric Functions
1 Lessons 0:38:44
Trigonometric Integrals
0:38:44
Closed
Recorded Session
Integration of Inverse Trigonometric Functions
1 Lessons 0:34:55
Integration of Inverse Trigonometric Functions
0:34:55
Closed
Recorded Session
Derivatives of Exponential and Logarithmic 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
Integrals of General Exponential and Logarithmic Functions
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
Hyperbolic Functions
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Integration By Substitution
1 Lessons 0:36:20
The Rule of Substitution
0:36:20
Closed
Recorded Session
Integration By Parts
1 Lessons 0:29:07
Integration By Parts
0:29:07
Closed
Recorded Session
Integration by Division
1 Lessons 0:30:08
Integration Rational Functions
0:30:08
Closed
Recorded Session
Integrations of Powers of Trigonometric Functions
1 Lessons 0:37:51
Powers of Trigonometric Functions
0:37:51
Closed
Recorded Session
Substitution Trigonometry
2 Lessons 1:10:53
Trigonometic Substitution part 1
0:42:21
Closed
Recorded Session
Trigonometic Substitution part 2
0:28:32
Closed
Recorded Session
Integrations of Quadratic Formulas
1 Lessons 0:24:00
Integration involving Quadratic Form
0:24:00
Closed
Recorded Session
Integration With Partial Fractions
2 Lessons 0:50:17
Partial Fraction Part 1
0:24:01
Closed
Recorded Session
partial Fraction Part 2
0:26:16
Closed
Recorded Session
L'Hopital's Rule
1 Lessons 0:37:23
Hospital Rule
0:37:23
Closed
Recorded Session
Application to Improper Integrals
1 Lessons 0:16:13
Improper Integrals
0:16:13
Closed
Recorded Session
Finding Areas
1 Lessons 0:30:03
Applications of Integration Area Between Two Curve
0:30:03
Closed
Recorded Session
Surfaces Areas
2 Lessons 0:24:46
Surface Area
0:10:41
Closed
Recorded Session
Surface Area with Parametric Equations
0:14:06
Closed
Recorded Session
Rotational Volumes
1 Lessons 0:31:31
Volumes
0:31:31
Closed
Recorded Session
Lengths of Curves
1 Lessons 0:15:17
Arc Length and Curvature
0:15:17
Closed
Recorded Session
The Relationship Between Polar and Cartesian Coordinates
1 Lessons 0:14:49
Polar Coordinates and Cartesian Coordinates
0:14:49
Closed
Recorded Session
Curves in Polar Coordinates
2 Lessons 0:35:49
Polar Coordinates Graphs Part 1
0:12:50
Closed
Recorded Session
Polar Coordinates Graphs Part 2
0:22:59
Closed
Recorded Session
Calculate Areas Using Polar Coordinates
1 Lessons 0:19:21
Work and Polar Coordinate System
0:19:21
Closed
Recorded Session
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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job