Integral Calculus (MATH 212)

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

Total Lessonses 37 Total hours : 15:59:80 Duration Of Course 17 weeks
  • About the Course :

    Definition of definite integral by using Reiman sum, properties of definite integral, mean value theory of integration and differentiation. definition of non-definite integral, method of integration by substitution, logarithmic and power functions, hyperbolic functions and their inverse. method of integration: by parts, by trigonometric functions, square complete, rational functions integration, approximate method of definite integral, L'Hopital's rate, proper integral, calculations of area, rotation of value bodies, length of curves, polar coordinates, graphic of some polar coordinate curves, sequences, infinite series, Taylor and Maclaurin series, and the binomial series.




  • You Will Learn :

    Definition of Definite Integral, Using Reiman Sum, Properties of Definite Integral, Mean Value Theory of Integration and Differentiation, Definition of Non-Definite Integral, Method of Integration by Substitution, Logarithmic and Power Functions, Hyperbolic Functions and Their Inverse, Integration by Parts, Trigonometric Functions, Square Complete, Rational Functions Integration, Approximate Method of Definite Integral, L'Hopital's Rate, Proper Integral, Calculations of Area, Rotation of Value Bodies, Length of Curves, Polar Coordinates, Graphic of Some Polar Coordinate Curves, Sequences, Infinite Series, Taylor and Maclaurin Series, and The Binomial Series.




  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 212
    * University Name : Shaqra University




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Total Lessonses 37 Total Hours 15:59:80 Duration Of Course 17 weeks
Definition of Definite Integral
1 Lessons 0:29:25
Antiderivatives and Infinite Integrals
0:29:25
Show
Recorded Session
Using Reiman Sum
5 Lessons 1:17:46
Summation Notation part 1
0:22:36
Show
Recorded Session
Summation Notation part 2
0:16:21
Show
Recorded Session
Reiman Sum and Definite Integrals
0:38:49
Closed
Recorded Session
Numerical Integrals
1 Lessons 0:21:27
Numerical Integrals
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
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
Method of Integration by Substitution
1 Lessons 0:36:20
The Rule Substitution
0:36:20
Closed
Recorded Session
Derivatives and Integration of Exponential Functions
3 Lessons 1:17:45
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
Integration Using Exponential Functions Part 1
0:48:25
Closed
Recorded Session
Integration Using Exponential Functions Part 2
0:14:27
Closed
Recorded Session
Derivatives and Integration of Logarithms Functions
2 Lessons 0:39:00
Derivative of Natural logarithms
0:13:57
Closed
Recorded Session
Integration Using Natural Logarithms
0:25:03
Closed
Recorded Session
Hyperbolic Functions and Their Inverse
2 Lessons 0:34:33
Hyperbolic Functions
0:26:25
Closed
Recorded Session
‏Inverse Hyperbolic Functions
0:08:08
Closed
Recorded Session
Differentiation of Hyperbolic Functions
1 Lessons 0:09:54
Differentiation of Hyperbolic Functions
0:09:54
Closed
Recorded Session
L'Hopital's Rule
1 Lessons 0:37:23
L'Hopital's Rule
0:37:23
Closed
Recorded Session
Integration Involving Quadratic Form
1 Lessons 0:24:00
Integration Involving Quadratic Form
0:24:00
Closed
Recorded Session
Rational Functions Integration and Partial Fraction
3 Lessons 1:20:25
Integration Rational Functions
0:30:08
Closed
Recorded Session
Partial Fraction Part 1
0:24:01
Closed
Recorded Session
partial Fraction Part 2
0:26:16
Closed
Recorded Session
Trigonometric Functions
1 Lessons 0:38:44
Trigonometric Integrals
0:38:44
Closed
Recorded Session
Integration By Parts
1 Lessons 0:29:07
Integration By Parts
0:29:07
Closed
Recorded Session
Improper Integrals
1 Lessons 0:16:13
Improper Integrals
0:16:13
Closed
Recorded Session
Calculations of Area
1 Lessons 0:30:03
Applications of Integration Area Between two Curve
0:30:03
Closed
Recorded Session
Rotation of Value Bodies
1 Lessons 0:31:31
Volumes
0:31:31
Closed
Recorded Session
Length of Curves
1 Lessons 0:15:17
Arc Length and Curvature
0:15:17
Closed
Recorded Session
Polar Coordinates
1 Lessons 0:14:49
Polar Coordinates and Cartesian Coordinates
0:14:49
Closed
Recorded Session
Graphic of Some Polar Coordinate Curves
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
Sequences
1 Lessons 0:13:20
Sequences
0:13:20
Closed
Recorded Session
Infinite Series
1 Lessons 0:15:14
Infinite Series
0:15:14
Closed
Recorded Session
Taylor and Maclaurin Series
1 Lessons 0:13:46
‏ Taylor Series
0:13:46
Closed
Recorded Session
The Binomial Series
1 Lessons 0:11:30
‏Binomial Series
0:11:30
Closed
Recorded Session
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job