Calculus II (MTH 102)

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

Total Lessonses 41 Total hours : 18:15:87 Duration Of Course 17 weeks
  • About the Course :

    يتناول هذا المقرر بشكل رئيسي حساب التكامل، بما في ذلك المواضيع التالية: الدوال العكسية، الدوال المثلثية العكسية والزائدة ومشتقاتها، قاعدة لابيتال، التكامل غير المحدد، طرق التكامل (البدائل، الأجزاء، البدائل المثلثية، الكسور الجزئية، ... ). التكامل المحدد، النظرية الأساسية في حساب التفاضل والتكامل. تطبيقات التكامل المحدد (المساحة بين المنحنيين، الحجوم، طول المنحنى المستوي، مساحة سطح الدوران، ...).



  • You Will Learn :

    The Indefinite Integral, The Definition of Area as a Limit; Sigma Notation, The Definite Integral, The Fundamental Theorem of Calculus, Rectilinear Motion Revisited Using Integration, Average Value of a Function and Its Applications, Evaluating Definite Integrals by Substitution, Logarithmic and other Functions Defined by Integrals, Area Between Two Curves, Volumes by Slicing; Disks and Washers, Volumes by Cylindrical Shells, Length of a Plane Curve, Area of a Surface of Revolution, Work, Moments, Centers of Gravity, Centroids, Hyperbolic Functions and Hanging Cables, An Overview of Integration Methods, Integration by Parts, Integrating Trigonometric Functions, Trigonometric Substitutions, Integrating Rational Functions by Partial Fractions, Using Computer Algebra Systems and Tables of Integrals, Improper Integrals, Sequences, Monotone Sequences, Infinite Series, Convergence Tests, The Comparison, Ratio, and Root Tests, Alternating Series; Absolute and Conditional Convergence.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MTH 102
    * University Name : Majmaah University



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Total Lessonses 41 Total Hours 18:15:87 Duration Of Course 17 weeks
Antiderivatives and Infinite Integrals
1 Lessons 0:29:25
Antiderivatives and Infinite Integrals
0:29:25
Show
Recorded Session
The Definition of Area as a Limit; Sigma Notation
1 Lessons 1:22:52
Integrals
1:22:52
Show
Recorded Session
Indefinite Integratioon and The NET ChangeTheorem
4 Lessons 2:16:32
Indefinite Integrals part1
0:21:07
Show
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
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
Rectilinear Motion Revisited Using Integration
1 Lessons 0:10:11
Motion problems
0:10:11
Closed
Recorded Session
Average Value, 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
Evaluating Definite Integrals by Substitution
1 Lessons 0:36:20
The Rule of Substitution
0:36:20
Closed
Recorded Session
Logarithmic and Other Functions Defined by Integrals
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
Integration By Parts
1 Lessons 0:29:07
Integration By Parts
0:29:07
Closed
Recorded Session
Integrating Trigonometric Functions
1 Lessons 0:38:44
Trigonometric Integrals
0:38:44
Closed
Recorded Session
Trigonometric Substitutions
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
Integrating Rational Functions by Partial Fractions
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
Using Computer Algebra Systems and Tables of Integrals
1 Lessons 0:31:34
Integration Using Tables and Technology
0:31:34
Closed
Recorded Session
Integration Using Natural Logarithms
1 Lessons 0:25:03
Integration Using Natural Logarithms
0:25:03
Closed
Recorded Session
Improper Integrals
1 Lessons 0:16:13
Improper Integrals
0:16:13
Closed
Recorded Session
Areas Between Two Curves
1 Lessons 0:30:03
Applications of Integration Area Between Two Curve
0:30:03
Closed
Recorded Session
Volumes by Slicing; Disks and Washers
1 Lessons 0:31:31
Volumes
0:31:31
Closed
Recorded Session
Volumes by Cylindrical Shells
1 Lessons 0:22:02
Volumes By Cylindrlcal Shelis
0:22:02
Closed
Recorded Session
Length Of a Plane Curve
1 Lessons 0:15:17
Arc Length and Curvature
0:15:17
Closed
Recorded Session
Area of a Surface of Revolution
2 Lessons 0:24:46
Surface Area
0:10:41
Closed
Recorded Session
Surface Area with Parametric Equations
0:14:05
Closed
Recorded Session
Work, Moments, Centers of Gravity, and Centroids
1 Lessons 0:19:21
Work and Polar Coordinate System
0:19:21
Closed
Recorded Session
Hyperbolic Functions
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Sequences
1 Lessons 0:13:20
Sequences
0:13:20
Closed
Recorded Session
Infinite Series
1 Lessons 0:10:34
Series
0:10:34
Closed
Recorded Session
Monotone Sequences
1 Lessons 0:04:04
Monotone Sequences and Series
0:04:04
Closed
Recorded Session
Absolute Convergence and The Ratio and Root Tests
2 Lessons 0:15:28
Convergent Divergent Series
0:05:03
Closed
Recorded Session
Absolute Converges
0:10:25
Closed
Recorded Session
The ComparisonTests
1 Lessons 0:14:35
The Comparison Test
0:14:35
Closed
Recorded Session
Ratio, and Root Tests
2 Lessons 0:21:00
Ratio Test
0:13:50
Closed
Recorded Session
Root Test
0:07:10
Closed
Recorded Session
Alternating Series
1 Lessons 0:17:26
Alternating Series
0:17:26
Closed
Recorded Session
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job