Calculus II (MATH 102)

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

Total Lessonses 30 Total hours : 17:13:60 Duration Of Course 17 weeks
  • About the Course :

    Definite integral, 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 and inverse of trigonometric functions, definition of exponential and logarithmic functions hyperbolic, inverse hyperbolic, integrals of exponential and logarithmic functions, hyperbolic functions and their inverse, integration by substitution, integration by parts, integration with partial fractions , Integrations of powers of trigonometric functions , substitution trigonometry , integrations of quadratic formulas , L’Hopital's rule, application to improper integrals, finding areas, surfaces, rotational volumes, lengths of curves., polar coordinates, the relationship between polar and cartesian coordinates , and curves in 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, and Application to Improper Integrals.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 102
    * University Name : University of Prince Mugrin



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Total Lessonses 30 Total Hours 17:13:60 Duration Of Course 17 weeks
The Original Function
1 Lessons 0:29:25
Antiderivatives and Infinite Integrals
0:29:25
Show
Recorded Session
Definition of Definite Integral using the Reiman sum
3 Lessons 1:17:46
Summation Notation part 1
0:22:36
Show
Recorded Session
Summation Notation part 2
0:16:21
Show
Recorded Session
Remian Sum and Definite Integrals
0:38:49
Closed
Recorded Session
properties Definite Integral
1 Lessons 0:23:00
Definite Integrals and _Mean Value Theorem of Integration
0:23:00
Closed
Recorded Session
Change of Variables in Indefinite Integrals
4 Lessons 2:16:32
Change of Variables in Indefinite Integrals Part 1
0:21:07
Closed
Recorded Session
Change of Variables in Indefinite Integrals Part 2
0:29:54
Closed
Recorded Session
Change of Variables in 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
Integrals
1 Lessons 1:22:52
Integrals
1:22:52
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 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 0:37:09
Powers of Trigonometric Functions
0:37:49
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 0:24:17
Indeterminate Forms and Hospital Rule
0:24:17
Closed
Recorded Session
Application to Improper Integrals
1 Lessons 0:16:13
Improper Integrals
0:16:13
Closed
Recorded Session
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job