Calculus II (MATH 202)

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

Total Lessonses 44 Total hours : 19:15:98 Duration Of Course 17 weeks
  • About the Course :

    This course is mainly dealing with integral calculus, including the following topics: inverse functions, inverse trigonometric and hyperbolic functions and their derivatives, L’Hopital’s rule, the indefinite integral, methods of integration (substitutions, parts, trigonometric substitutions, partial fractions, …). the definite integral, the fundamental theorem of calculus. applications of definite integral (area between two curves, volumes, length of a plane curve, area of a surface of revolution, …).



  • You Will Learn :

    The Indefinite Integral, The Definition of Area as a Limit; Sigma Notation, The Definite Integral, The Fundamental Theorem of Calculus, Rectilinear Motion Revisited Using Integration, Average Value of a Function and Its Applications, Evaluating Definite Integrals by Substitution, Logarithmic and Other Functions Defined by Integrals, Area Between Two Curves, Volumes by Slicing; Disks and Washers, Volumes by Cylindrical Shells, Length of a Plane Curve, Area of a Surface of Revolution, Work, Moments, Centers of Gravity, Centroids, Hyperbolic Functions and Hanging Cables, An Overview of Integration Methods, Integration by Parts, Integrating Trigonometric Functions, Trigonometric Substitutions, Integrating Rational Functions by Partial Fractions, Improper Integrals, Sequences, Monotone Sequences, Infinite Series, Convergence Tests, The Comparison, Ratio, and Root Tests, Alternating Series; Absolute and Conditional Convergence, Maclaurin and Taylor Polynomials, Maclaurin and Taylor Series; Power Series, Convergence of Taylor Series, and Differentiating and Integrating Power Series; Modeling with Taylor Series.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 202
    * University Name : Northern Border University



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Total Lessonses 44 Total Hours 19:15:98 Duration Of Course 17 weeks
The Definition of Area as a Limit; Sigma Notation
5 Lessons 3:10:03
Antiderivatives and Infinite Integrals
0:29:25
Show
Recorded Session
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
Closed
Recorded Session
Integrals
1:22:52
Closed
Recorded Session
Strategy For Integration
1 Lessons 0:23:15
Strategy For Integration
0:23:15
Closed
Recorded Session
Indefinite Integrals
4 Lessons 2:16:32
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
Definite Integrals and _Mean Value Theorem of Integration
1 Lessons 0:23:00
Definite Integrals and _Mean Value Theorem of Integration
0:23:00
Closed
Recorded Session
Numerical Integrals
1 Lessons 0:21:27
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
Evaluating Definite Integrals by Substitution
1 Lessons 0:36:20
The Rule of Substitution
0:36:20
Closed
Recorded Session
Integration Rational Functions
1 Lessons 0:30:08
Integration Rational Functions
0:30:08
Closed
Recorded Session
Logarithmic and Other Functions Defined by Integrals
1 Lessons 0:25:03
Integration Using Natural Logarithms
0:25:03
Closed
Recorded Session
Area Between Two Curves
1 Lessons 0:30:03
Applications of Integration Area Between Two Curve
0:30:03
Closed
Recorded Session
Volumes by Slicing; Disks and Washers
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
Length of a Plane Curve
1 Lessons 0:15:17
Arc Length and Curvature
0:15:17
Closed
Recorded Session
Area of a Surface 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, Moments, Centers of Gravity, and Centroids
1 Lessons 0:19:21
Work, Moments, Centers of Gravity, and Centroids
0:19:21
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
Integrating Trigonometric Functions
1 Lessons 0:38:44
Trigonometric Integrals
0:38:44
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
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
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
Series
1 Lessons 0:10:34
Series
0:10:34
Closed
Recorded Session
Monotone Sequences
1 Lessons 0:04:04
Monotone Sequences and Series
0:04:04
Closed
Recorded Session
Infinite Series
1 Lessons 0:15:14
‏Infinite Series
0:15:14
Closed
Recorded Session
Convergence Tests and Integral Test
2 Lessons 0:15:46
Convergent Divergent Series
0:05:03
Closed
Recorded Session
Integral Tests
0:10:43
Closed
Recorded Session
The Comparison Tests
1 Lessons 0:14:35
The Comparison Test
0:14:35
Closed
Recorded Session
The Ratio and Root Test
2 Lessons 0:21:00
Ratio Test
0:13:50
Closed
Recorded Session
Root Test
0:07:10
Closed
Recorded Session
Alternating Series; Absolute and Conditional Convergence
1 Lessons 0:10:25
Absolute converges
0:10:25
Closed
Recorded Session
Maclaurin and Taylor Polynomials series
1 Lessons 0:13:46
‏ Taylor Series
0:13:46
Closed
Recorded Session
Maclaurin and Taylor Polynomials Series
1 Lessons 0:24:06
The Taylor Series Expansion
0:24:06
Closed
Recorded Session
Differentiating and Integrating Power Series; Modeling with Taylor Series
1 Lessons 0:10:56
Differentiation and Integration Power Series
0:10:56
Closed
Recorded Session
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job