Calculus II (MATH 102)

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

Total Lessonses 38 Total hours : 22:02:75 Duration Of Course 17 weeks
  • About the Course :

    The definite integrals, fundamental theorem of calculus, the indefinite integrals, change of variables, numerical integration, area, volume of revolution, work, arc length, differentiation and integration of inverse trigonometric functions, the logarithmic, exponential, hyperbolic and inverse hyperbolic functions, techniques of integration: substitution, by parts, trigonometric substitutions, partial fractions, miscellaneous substitutions, indeterminate forms, improper integrals, and polar coordinates.



  • You Will Learn :

    Antiderivative, Indefinite Integral, Properties of the Indefinite Integral, Integration by substitution, Sigma Notation, The Definition of Area as a Limit, Riemann sum, The Definite Integral, Properties of the Definite Integral, The Fundamental Theorem, Total Area, The Mean-Value Theorem for Integrals, Evaluating Definite Integrals by Substitution, Area Between Two Curves, Volumes by Slicing; Disks and Washers, Length of a Plane Curve, Exponential and Logarithmic Functions, Derivatives and Integrals Involving Logarithmic Functions, Derivatives and Integrals Involving Exponential Functions, L'Hopital's Rule, Inverse Trigonometric Functions, Hyperbolic Functions, An Overview of Integration Methods, The Product Rule and Integration by Parts, Guidelines For Integration by Parts, Repeated Integration by Parts, A Tabular Method for Repeated Integration by Parts, Integration by Parts for Definite Integrals, Reduction Formulas, The Method of Trigonometric Substitution, Integrals Involving Quadratic Form, Integrating Rational Functions by Partial Fractions, Integrating Improper Rational Functions, Numerical Integration; Simpson's Rule, Improper Integrals, Integrals Whose Integrands Have Infinite Discontinuities, Integrating Powers of Sine and Cosine, Integrating Products of Sines and Cosines, and Integrating Powers of Tangent and Secant.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 102
    * University Name : Princess Nourah Bint Abdulrahman University



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Total Lessonses 38 Total Hours 22:02:75 Duration Of Course 17 weeks
Antiderivatives
1 Lessons 0:29:25
Antiderivatives and Infinite Integrals
0:29:25
Show
Recorded Session
Sigma Notation
2 Lessons 0:38:57
Summation Notation part 1
0:22:36
Show
Recorded Session
Summation Notation part 2
0:16:21
Show
Recorded Session
Riemann Sum
1 Lessons 0:38:49
Remian Sum and Definite Integrals
0:38:49
Closed
Recorded Session
Strategy for Integration
1 Lessons 0:23:15
Strategy For Integration
0:23:15
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
The Definite Integral and The Mean-Value Theorem for Integrals
1 Lessons 1:34:30
Definite Integrals and _Mean Value Theorem of Integration
0:23:00
Closed
Recorded Session
Integrals
1 Lessons 1:22:52
Integrals
1:22:52
Closed
Recorded Session
Properties of The Definite Integral
1 Lessons 0:21:27
Numerical Integrals
0:21:27
Closed
Recorded Session
The Fundamental Theorem of Calculus
1 Lessons 0:35:37
The Fundamental Theorem of Calculus
0:35:37
Closed
Recorded Session
Integration by substitution and Evaluating Definite Integrals by Substitution
1 Lessons 0:36:20
The Rule of Substitution
0:36:20
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
Integration 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
Area Between Two Curves and Total Area
1 Lessons 0:30:03
Applications of Integration Area Between two Curve
0:30:03
Closed
Recorded Session
Trigonometric Functions Integrations
1 Lessons 0:38:44
Trigonometric Integrals
0:38:44
Closed
Recorded Session
Trigonometic Substitution
2 Lessons 1:10:55
Trigonometic Substitution part 1
0:42:21
Closed
Recorded Session
Trigonometic Substitution part 2
0:28:32
Closed
Recorded Session
Integration of Inverse Trigonometric Functions
1 Lessons 0:34:55
Integration of Inverse Trigonometric Functions
0:34:55
Closed
Recorded Session
Volumes by Slicing; Disks and Washers
2 Lessons 0:53:33
Volumes
0:31:31
Closed
Recorded Session
Volumes By Cylindrlcal Shelis
0:22:02
Closed
Recorded Session
Length Of a Plane Curve
1 Lessons 0:15:17
Length Of a Plane Curve
0:15:17
Closed
Recorded Session
L'Hopital's Rule
1 Lessons 0:24:17
Indeterminate Forms and Hospital Rule
0:24:17
Closed
Recorded Session
Hyperbolic Functions
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
Closed
Recorded Session
The Product Rule and Integration by Parts
1 Lessons 0:29:07
Integration By Parts
0:29:07
Closed
Recorded Session
Repeated Integration by Parts and Tabular Method for Repeated Integration by Parts
1 Lessons 0:31:43
Integration Using Tables and Technology
0:31:43
Closed
Recorded Session
Reduction Formulas
1 Lessons 0:30:08
Integration Rational Functions
0:30:08
Closed
Recorded Session
The Method of Trigonometric Substitution
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
Integrals Involving Quadratic Form
1 Lessons 0:24:00
Integration involving Quadratic Form
0:24:00
Closed
Recorded Session
Integrating Rational Functions by 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
Improper Integrals and Integrals whose integrands have infinite discontinuities
1 Lessons 0:16:13
Improper Integrals
0:16:13
Closed
Recorded Session
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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job