Calculus II (MATH 102)

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

Total Lessonses 42 Total hours : 21:03:59 Duration Of Course 17 weeks
  • About the Course :

    This course describes the most important ideas, theoretical results, and examples of integration technics, infinite series, and parametric equations. The course includes the essential fundamentals of these topics. the emphasis is on calculations, and some applications are mentioned.



  • You Will Learn :

    Anti-Derivatives, Sums and Sigma Notation, Partitions, Reiman Sum, Area under Curves, The Definite Integral, First and Second Fundamental Theorems of Calculus, Indefinite Integral and Its Properties for Special Functions, Definition of Integration, Integration by Substitution, Integrals Involving Logarithmic, Integrals Involving Exponential, Integration of Trigonometry Functions, Integrals Involving Hyperbolic Functions, Improper Integrals, Integration by Parts, Integration by Using Partial Fraction, Area, Volume, Volumes Using Cylindrical Shells, Arc Length and Surface Area, Trigonometric Techniques of Integration, Illustrate the Revolution of a Solid Region Using CAS, Sequences of Real Numbers, Convergence and Divergence of Infinite Sequences, Formal Definition of a Convergent Sequence, Infinite Series, Basic Infinite Series (Geometric Series, P-Series, Alternating Series, Telescoping Series), Convergence Tests for Positive Series, Ratio Test, Root Test, comparison and Limit Comparison Test, and Integral Test.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 102
    * University Name : Imam Mohammad Ibn Saud Islamic University



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Total Lessonses 42 Total Hours 21:03:59 Duration Of Course 17 weeks
Anti-Derivatives
1 Lessons 0:29:25
Antiderivatives and Infinite Integrals
0:29:25
Show
Recorded Session
Sums and Sigma Notation
2 Lessons 0:38:47
Summation Notation part 1
0:22:36
Show
Recorded Session
Summation Notation part 2
0:16:21
Show
Recorded Session
Reiman Sum
1 Lessons 0:38:49
Remian Sum and Definite Integrals
0:38:49
Closed
Recorded Session
The Definite Integrals
2 Lessons 0:44:27
Definite Integrals and _Mean Value Theorem of Integration
0:23:00
Closed
Recorded Session
Numerical Integrals
0:21:27
Closed
Recorded Session
Indefinite Integral and Its Properties for Special Functions
6 Lessons 4:02:39
Integrals
1:22:52
Closed
Recorded Session
Strategy For Integration
0:23:15
Closed
Recorded Session
Indefinite Integratioon and the NET change theorem
1:11:30
Closed
Recorded Session
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
First and Second Fundamental Theorems of Calculus
1 Lessons 0:35:37
The Fundamental Theorem of Calculus
0:35:37
Closed
Recorded Session
Integration By Substitution
1 Lessons 0:36:20
The Rule Substitution
0:36:20
Closed
Recorded Session
Integrals Involving Logarithmic Functions
1 Lessons 0:25:03
Integration Using Natural logarithms
0:25:03
Closed
Recorded Session
Integrals Involving Exponential
1 Lessons 1:02:52
Integration Using Exponential Functions
0:48:25
Closed
Recorded Session
Integration of Trigonometry Functions
3 Lessons 1:49:37
Trigonometric Integrals
0:38:44
Closed
Recorded Session
Trigonometic Substitution part 1
0:42:21
Closed
Recorded Session
Trigonometic Substitution part 2
0:28:32
Closed
Recorded Session
Integrals Involving Hyperbolic Functions
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Improper Integrals
3 Lessons 0:14:05
Improper Integrals
0:16:13
Closed
Recorded Session
Integration By Parts
2 Lessons 0:29:07
Integration By Parts
0:29:07
Closed
Recorded Session
Integration Using Tables and Technology
0:31:43
Closed
Recorded Session
Integration by Using Partial Fraction
3 Lessons 1:20:35
Partial Fraction Part 1
0:24:01
Closed
Recorded Session
partial Fraction Part 2
0:26:16
Closed
Recorded Session
Integration Rational Functions
0:30:08
Closed
Recorded Session
Area
1 Lessons 0:30:03
Applications of Integration Area Between Two Curve
0:30:03
Closed
Recorded Session
Volumes
1 Lessons 0:31:31
Volumes
0:31:31
Closed
Recorded Session
Volumes By Cylindrlcal Shelis
1 Lessons 0:22:02
Volumes By Cylindrlcal Shelis
0:22:02
Closed
Recorded Session
Arc Length and Surface Area
2 Lessons 0:25:58
Arc Length and Curvature
0:15:17
Closed
Recorded Session
Surface Area with Parametric Equations
0:14:06
Closed
Recorded Session
Trigonometric Techniques of Integration
2 Lessons 1:12:46
Integration of Inverse Trigonometric Functions
0:34:55
Closed
Recorded Session
Powers of Trigonometric Functions
0:37:51
Closed
Recorded Session
Sequences of Real Numbers and Infinite Series
2 Lessons 0:23:54
Sequences
0:13:20
Closed
Recorded Session
Series
0:10:34
Closed
Recorded Session
Convergence and Divergence of Infinite Sequences
1 Lessons 0:5:03
Convergent Divergent Series
0:05:03
Closed
Recorded Session
Absolute Converges
1 Lessons 0:10:25
Absolute converges
0:10:25
Closed
Recorded Session
The Integral Test
1 Lessons 0:10:43
The Integral Test
0:10:43
Closed
Recorded Session
Taylor and Maclaurin Series
2 Lessons 0:37:52
Taylor Series
0:13:46
Closed
Recorded Session
The Taylor Series Expansion
0:24:06
Closed
Recorded Session
Arc Length and Curvature
1 Lessons 0:15:17
Arc Length and Curvature
0:15:17
Closed
Recorded Session
Arc Length and Surface in Parametric Equations
1 Lessons 0:39:46
Surface Area with Polar Coordinates
0:14:06
Closed
Recorded Session
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job