Calculus II (MATH 112)

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

Total Lessonses 46 Total hours : 20:30:77 Duration Of Course 17 weeks
  • About the Course :

    This course is a continuation to calculus I; the course covers basic mathematical analysis and mathematical tools that are widely used and are essential for mathematical analysis and applications. Topics include sequences; infinite series; power series; conics; polar, cylindrical, spherical coordinates; vectors, the geometry of space; and vector valued functions.



  • You Will Learn :

    Areas Between Curves, Volumes, Volumes by Cylindrical Shells, Integration by Substitutions, 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, Curves Defined by Parametric Equations, Polar Coordinates, Areas and Lengths in Polar Coordinate, Sequences, Series, The Integral Test and Estimates of Sums, The Comparison Test, Alternating Series, Absolute convergent and the Ratio and Root Tests, Strategy for Testing Series, and Power Series.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 112
    * University Name : Alfaisal University



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Total Lessonses 46 Total Hours 20:30:77 Duration Of Course 17 weeks
Antiderivatives and Definition of Integration
1 Lessons 0:29:25
Antiderivatives and Infinite Integrals
0:09:25
Show
Recorded Session
The Indefinite Integral
4 Lessons 2:16:32
Indefinite Integrals part1
0:21:07
Show
Recorded Session
Indefinite Integrals part 2
0:29:54
Show
Recorded Session
Indefinite Integrals part 3
0:14:01
Closed
Recorded Session
Indefinite Integratioon and the NET change theorem
1:11:30
Closed
Recorded Session
Strategy for Integration
1 Lessons 0:23:15
Strategy for Integration
0:23:15
Closed
Recorded Session
Integrals
1 Lessons 1:22:52
Integrals
1:22:52
Closed
Recorded Session
Numerical Integrals
1 Lessons 0:21:27
Numerical Integrals
0:21:27
Closed
Recorded Session
Average Value of a Function and Its Applications
1 Lessons 0:23:00
Definite Integrals and _Mean value theorem of integration
0:23:00
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
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 Substitution
1 Lessons 0:36:20
The Rule of Substitution
0:36:20
Closed
Recorded Session
Integration By Parts
1 Lessons 0:29:07
Integration By Parts
0:29:07
Closed
Recorded Session
Differentiation of Trigonometric Functions
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
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
Integration of 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
Integration of Trigonometric Functions
1 Lessons 0:38:44
Trigonometric Integrals
0:38:44
Closed
Recorded Session
Hyper Trigonometric Functions
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Improper Integrals
1 Lessons 0:16:13
Improper Integrals
0:16:13
Closed
Recorded Session
Areas Between Curves
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 Cylindrical Shells
1 Lessons 0:22:02
Volumes By Cylindrlcal Shelis
0:22:02
Closed
Recorded Session
Arc Length
1 Lessons 0:15:17
Arc Length and Curvature
0:15:17
Closed
Recorded Session
Areas of Surfaces of Revolution
2 Lessons 0:24:47
Surface Area
0:10:41
Closed
Recorded Session
Surface Area with Parametric Equations
0:14:06
Closed
Recorded Session
Curves Defined by Parametric Equations
1 Lessons 0:35:40
Parametric Equations and polar coordinates
0:35:40
Closed
Recorded Session
Polar Coordinates
1 Lessons 0:14:49
Polar Coordinates and Cartesian Coordinates
0:14:49
Closed
Recorded Session
Areas and Lengths in Polar Coordinate
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
Series
1 Lessons 0:10:34
Series
0:10:34
Closed
Recorded Session
The Integral Test and Estimates of Sums
1 Lessons 0:10:43
Integral Test
0:10:43
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 convergent 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 0:08:14
Testing Series Strategy
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