Calculus II (MATH 113)

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

Total Lessonses 33 Total hours : 15:37:08 Duration Of Course 17 weeks
  • About the Course :

    This course introduces the students to various topics such as the concept of antiderivatives, integrals (definite and indefinite), the fundamental theorem of calculus and applications of definite integrals to find area, volume, arc’s length and surface area. Furthermore, the course continues in covering the concepts of sequences, infinite series, and Power series.



  • You Will Learn :

    Areas, The Definite Integral, The Fundamental Theorem of Calculus, Indefinite Integrals, The Net Change Theorem, The Substitution Rule, Areas Between Curves, Volumes, Volumes by Cylindrical Shells, Average Value of a Function, Integration by Parts, Trigonometric Integrals, Trigonometric Substitution, Integration of Rational Functions by Partial Fractions, Strategy for Integration, Improper Integrals, Arc Length, Area of a Surface of Revolution, Sequences, Series, The Integral Test and Estimates of Sums, The Comparison Tests, Alternating Series, Absolute Convergence and the Ratio and Root Tests, Strategy for Testing Series, and Power Series.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 113
    * University Name : Prince Sultan University



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Total Lessonses 33 Total Hours 15:37:08 Duration Of Course 17 weeks
Area
2 Lessons 2:01:41
Integrals
1:22:52
Show
Recorded Session
Remian Sum and Definite integrals
0:38:49
Show
Recorded Session
The Definite Integrals
1 Lessons 0:23:00
Definite Integrals and _Mean value theorem of integration
0:23:00
Show
Recorded Session
The Fundamental Theorem of Calculus
1 Lessons 0:35:37
The Fundamental Theorem of Calculus
0:35:37
Show
Recorded Session
Indefinite Integratioon and the NET change theorem
1 Lessons 1:11:30
Indefinite Integratioon and the NET change theorem
1:11:30
Closed
Recorded Session
The Rule Substitution
1 Lessons 0:36:20
The Rule Substitution
0:36:20
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
Volume
1 Lessons 0:31:31
Volumes
0:31:31
Closed
Recorded Session
Volumes By Cylindrlcal Shelis
1 Lessons 0:22:02
Volumes by Cylindrical Shells
0:2202
Closed
Recorded Session
Average Value of a Function
1 Lessons 0:23:00
Definite Integrals and _Mean value theorem of integration
0:23:00
Closed
Recorded Session
Integration By Parts
1 Lessons 0:29:07
Integration By Parts
0:29:07
Closed
Recorded Session
Trigonometric Integrals
1 Lessons 0:38:44
Trigonometric Integrals
0:38:44
Closed
Recorded Session
Trigonometic 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
Integration of Rational Functions
1 Lessons 0:30:08
Integration of Rational Functions
0:30:08
Closed
Recorded Session
Partial Fraction
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
Strategy For Integration
1 Lessons 0:23:15
Strategy for Integration
0:23:15
Closed
Recorded Session
Improper Integrals
1 Lessons 0:14:05
Improper Integrals
0:14:05
Closed
Recorded Session
Arc Length
1 Lessons 0:15:17
Arc Length and Curvature
0:15:17
Closed
Recorded Session
Area of a Surface of Revelations
2 Lessons 0:24:46
Surface Area
0:10:41
Closed
Recorded Session
Surface Area with Parametric Equations
0:14:05
Closed
Recorded Session
Sequences
1 Lessons 0:13:20
Sequences
0:13:20
Closed
Recorded Session
Series
1 Lessons 0:10:34
Series
0:10:34
Closed
Recorded Session
The Integral Test and Estimates of Sums
1 Lessons 0:10:34
The Integral Test
0:10:34
Closed
Recorded Session
The comparison Test
1 Lessons 0:14:35
The Comparison Test
0:14:35
Closed
Recorded Session
Alternating Series
1 Lessons 0:17:26
Alternating Series
0:17:26
Closed
Recorded Session
Absolute Convergence and The Ratio and Root Tests
3 Lessons 0:31:25
Absolute Converges
0:10:25
Closed
Recorded Session
Ratio Test
0:13:50
Closed
Recorded Session
Root Test
0:07:10
Closed
Recorded Session
Strategy For Testing Series
1 Lessons 0:8:14
Strategy For Testing Series
0:08:14
Closed
Recorded Session
Power Series
2 Lessons 0:32:44
Power Series
0:12:01
Closed
Recorded Session
P-Series
0:20:43
Closed
Recorded Session
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job