Calculus II (MATH 222)

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

Total Lessonses 47 Total hours : 21:27:05 Duration Of Course 17 weeks
  • About the Course :

    Finite and indefinite integration of functions of one variable, the basic theory of calculus, integration methods, hyperbolic functions, applications of finite integration on area, volume, arc length, and rotational surface area, faulty integrations. sequences, series, and convergence tests by integration, comparison, ratio, power series, Taylor and Maclaurin series.



  • You Will Learn :

    Area and Estimating with Finite Sums, Sigma Notation and Limits of Finite Sums, The Definite Integral, The Fundamental Theorem of Calculus, Indefinite Integrals and the Substitution Method, Definite Integral Substitutions and the Area Between Curves, Volumes Using Cross-Sections, Volumes Using Cylindrical Shells, Arc Length, Areas of Surfaces of Revolution, Work and Fluid Forces, The Logarithm Defined as an Integral, Exponential Change and Separable Differential Equations, Hyperbolic Functions, Using Basic Integration Formulas, Integration by Parts, Trigonometric Integrals, Trigonometric Substitutions, Integration of Rational Functions by Partial Fractions, Integral Tables and Computer Algebra Systems, Numerical Integration, Improper Integrals, Sequences, Infinite Series, The Integral Test, Comparison Tests, Absolute Convergence, The Ratio and Root Tests, Alternating Series and Conditional Convergence, Power Series, Taylor and Maclaurin Series, Convergence of Taylor Series, The Binomial Series, and Applications of Taylor Series.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 222
    * University Name : University of Bisha



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Total Lessonses 47 Total Hours 21:27:05 Duration Of Course 17 weeks
Sigma Notation and Limits of Finite Sums
3 Lessons 1:17:46
Summation Notation part 1
0:22:36
Show
Recorded Session
Summation Notation part 2
0:16:21
Show
Recorded Session
Reiman Sum and Definite Integrals
0:38:49
Show
Recorded Session
Area and Estimating with Finite Sums
1 Lessons 1:22:52
Integrals
1:22:52
Closed
Recorded Session
The Definite Integral
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
The Fundamental Theorem of Calculus
1 Lessons 0:35:37
The Fundamental Theorem of Calculus
0:35:37
Closed
Recorded Session
Indefinite Integrals and the Substitution Method
5 Lessons 2:52:52
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
Indefinite Integratioon and The NET ChangeTheorem
1:11:30
Closed
Recorded Session
The Rule of Substitution
0:36:20
Closed
Recorded Session
Applications of Integration Area Between Two Curve
1 Lessons 0:30:03
Applications of Integration Area Between Two Curve
0:30:03
Closed
Recorded Session
Volumes Using Cross-Sections
1 Lessons 0:31:31
Volumes Using Cross-Sections
0:31:31
Closed
Recorded Session
Volumes By Cylindrlcal Shelis
1 Lessons 0:22:02
Volumes Using Cylindrical Shells
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
Work and Fluid Forces
1 Lessons 0:19:21
Work and Polar Coordinate System
0:19:21
Closed
Recorded Session
The Logarithm Defined as an Integral
1 Lessons 0:25:03
Integration Using Natural Logarithms
0:25:03
Closed
Recorded Session
Exponential Change and Separable Differential Equations
3 Lessons 1:25:06
Integration Using Exponential Functions Part 1
0:48:25
Closed
Recorded Session
Integration Using Exponential Functions Part 2
0:14:27
Closed
Recorded Session
Separable of variables
0:22:14
Closed
Recorded Session
Hyperbolic Functions
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Integration By Parts
1 Lessons 0:29:07
Integration By Parts
0:29:07
Closed
Recorded Session
Integral Tables and Computer Algebra Systems
1 Lessons 0:31:34
Integral Tables and Computer Algebra Systems
0:31:34
Closed
Recorded Session
Trigonometric Integrals
1 Lessons 0:38:44
Trigonometric Integrals
0:38:44
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 Using Natural Logarithms
1 Lessons 0:25:03
Integration Using Natural Logarithms
0:25:03
Closed
Recorded Session
Trigonometric Substitutions
2 Lessons 1:10:53
Trigonometric Substitutions Part 1
0:42:21
Closed
Recorded Session
Trigonometic Substitution part 2
0:28:32
Closed
Recorded Session
Improper Integrals
1 Lessons 0:16:13
Improper Integrals
0:16:13
Closed
Recorded Session
Sequences
1 Lessons 0:13:20
Sequences
0:13:20
Closed
Recorded Session
Infinite Series
1 Lessons 0:15:14
‏Infinite Series
0:15:14
Closed
Recorded Session
Comparison Tests and Integral Test
2 Lessons 0:25:18
The Comparison Test
0:14:35
Closed
Recorded Session
The Integral Test
0:10:43
Closed
Recorded Session
Absolute Convergence
1 Lessons 0:10:25
Absolute Converges
0:10:25
Closed
Recorded Session
The 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 and Conditional Convergence
1 Lessons 0:17:26
Alternating Series
0:17:26
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
Taylor and Maclaurin Series and Convergence of Taylor Series
1 Lessons 0:13:46
‏ Taylor Series
0:13:46
Closed
Recorded Session
The Binomial Series
1 Lessons 0:11:30
‏Binomial Series
0:11:30
Closed
Recorded Session
Applications of Taylor Series
1 Lessons 0:24:06
The Taylor Series Expansion
0:24:06
Closed
Recorded Session
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job