Calculus II (MATH 228)

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

Total Lessonses 51 Total hours : 21:48:49 Duration Of Course 17 weeks
  • About the Course :

    This course describes the most important ideas, theoretical results, 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, Exponential, Hyperbolic Functions, Improper Integrals, 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, Integral Test, Alternating Series, Absolute and Conditional Convergence, Power Series, Differentiation ad Integration of Power Series, Taylor and Maclaurin Series, Convergence of Taylor’s Series, Applications of Taylor and Maclaurin Series, Plane Curves and Parametric Equations, Calculus and Parametric Equations, Arc Length and Surface in Parametric Equations.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 228
    * University Name : Jazan University



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Student Assignments

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Total Lessonses 51 Total Hours 21:48:49 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 0:38:57
Summation Notation part 1
0:22:36
Show
Recorded Session
Summation Notation part 2
0:16:21
Show
Recorded Session
Reiman Sum and partitions
1 Lessons 0:38:49
Reiman Sum and Definite Integrals
0:38:49
Closed
Recorded Session
Area Under Curves
1 Lessons 1:22:52
Integrals
1:22:52
Closed
Recorded Session
The Definite Integral and Numerical Integrals
2 Lessons 0:44:27
Numerical Integrals
0:21:27
Closed
Recorded Session
Definite Integrals and _Mean Value Theorem of Integration
0:23:00
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
Indefinite Integral and Its Properties for Special Functions
3 Lessons 1:05:02
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
Integration By Substitution
1 Lessons 0:36:20
The Rule of Substitution
0:36:20
Closed
Recorded Session
Integrals Involving Logarithmic, Exponential, and Hyperbolic Functions, Improper Integrals
5 Lessons 2:10:33
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
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Improper Integrals
0:16:13
Closed
Recorded Session
Integration of Trigonometry Functions
1 Lessons 0:38:44
Trigonometric Integrals
0:38:44
Closed
Recorded Session
Integration By Parts
1 Lessons 0:29:07
Integration By Parts
0:29:07
Closed
Recorded Session
Integration By Using 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
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
1 Lessons 0:15:17
Arc Length and Curvature
0:15:17
Closed
Recorded Session
Trigonometric Techniques of Integration
4 Lessons 2:23:37
Trigonometic Substitution part 1
0:42:21
Closed
Recorded Session
Trigonometic Substitution part 2
0:28:32
Closed
Recorded Session
Powers of Trigonometric Functions
0:37:49
Closed
Recorded Session
Integration of Inverse Trigonometric Functions
0:34:55
Closed
Recorded Session
Revolution of a Solid Region Using CAS
1 Lessons 0:12:28
Finding Volumes Using Cross Sections
0:12:38
Closed
Recorded Session
Sequences of Real Numbers
1 Lessons 0:13:20
Sequences
0:13:20
Closed
Recorded Session
Convergence and Divergence of Infinite Sequences
1 Lessons 0:05:03
Convergent Divergent Series
0:05:03
Closed
Recorded Session
Infinite Series
1 Lessons 0:15:14
‏Infinite Series
0:15:14
Closed
Recorded Session
Basic Infinite Series (Geometric Series, P-series, Alternating Series, Telescoping series)
2 Lessons 0:34:20
Series
0:10:34
Closed
Recorded Session
Telescoping Series
0:23:46
Closed
Recorded Session
Ratio Test
1 Lessons 0:13:50
Ratio Test
0:13:50
Closed
Recorded Session
Root Test
1 Lessons 0:07:10
Root Test
0:07:10
Closed
Recorded Session
Comparison and Limit Comparison Test
1 Lessons 0:14:35
The Comparison Test
0:14:35
Closed
Recorded Session
Integral Test
1 Lessons 0:10:43
Integral Test
0:10:43
Closed
Recorded Session
Alternating Series
1 Lessons 0:17:26
Alternating Series
0:17:26
Closed
Recorded Session
Absolute and Conditional Convergence
1 Lessons 0:10:25
Absolute converges
0:10:25
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
Differentiation and Integration of Power Series
1 Lessons 0:10:53
Differentiation and Integration Power Series
0:10:53
Closed
Recorded Session
Taylor and Maclaurin Series
1 Lessons 0:13:46
‏ Taylor Series
0:13:46
Closed
Recorded Session
Convergence of Taylor Series
1 Lessons 0:24:06
The Taylor Series Expansion
0:24:06
Closed
Recorded Session
Plane Curves and Parametric Equations
1 Lessons 0:35:40
Parametric Equations integration in polar
0:35:40
Closed
Recorded Session
Calculus and Parametric Equations
1 Lessons 0:22:29
Parametric Equations and polar coordinates
0:22:29
Closed
Recorded Session
Arc Length and Surface in Parametric Equations
3 Lessons 0:40:04
Arc Length and Curvature
0:15:17
Closed
Recorded Session
Surface Area
0:10:41
Closed
Recorded Session
Surface Area with Parametric Equations
0:14:06
Closed
Recorded Session
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job