Calculus II (MATH 204)

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

Total Lessonses 37 Total hours : 19:29:51 Duration Of Course 17 weeks
  • About the Course :

    This course provides basic definite and indefinite integrals of functions of a single variable. fundamental theorem of calculus, techniques of integration, applications of the definite integral to area, volume, arc length and surface of revolution, improper integrals, LaPlace and Fourier transform, and Fourier 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 , Laplace and Fourier Transform, and Fourier Series.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 204
    * University Name : Al-Yamamah University



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Total Lessonses 37 Total Hours 19:29:51 Duration Of Course 17 weeks
Antiderivatives and Definition of Integration
4 Lessons 1:47:11
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
Area and Estimating
1 Lessons 1:22:52
Integrals
1:22:52
Closed
Recorded Session
Definite Integrals and Indefinite Integrals
4 Lessons 2:37:59
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
Numerical Integrals
0:21:27
Closed
Recorded Session
Strategy for Integration
1 Lessons 0:23:15
Strategy for Integration
0:23:15
Closed
Recorded Session
The Fundamental Theorem of Calculus
1 Lessons 0:35:37
The Fundamental Theorem of Calculus
0:35:37
Closed
Recorded Session
Substitution Rules and the Area Between Curves
2 Lessons 0:59:20
Applications of Integration Area Between two Curve
0:30:03
Closed
Recorded Session
The Rule of Substitution
0:36:20
Closed
Recorded Session
Motion Revisited Using Integration
2 Lessons 0:29:32
Motion problems
0:10:11
Closed
Recorded Session
Work and Polar Coordinate System
0:19:21
Closed
Recorded Session
Indefinite Integratioon and the NET ChangeTheorem
1 Lessons 1:11:30
Indefinite Integratioon and The NET ChangeTheorem
1:11:30
Closed
Recorded Session
Volumes Using Cross-Sections
1 Lessons 0:31:31
Volumes
0:31:31
Closed
Recorded Session
Volumes Using Cylindrical Shells
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
Integration By Parts
1 Lessons 0:29:07
Integration By Parts
0:29:07
Closed
Recorded Session
Integration Using Tables and Technology
1 Lessons 0:31:34
Integration Using Tables and Technology
0:31:34
Closed
Recorded Session
The Logarithm Defined as an Integral
0 Lesson ---
Integration Using Exponential Functions
2 Lessons 1:02:52
Integration Using Exponential Functions Part 1
0:48:25
Closed
Recorded Session
Integration Using Exponential Functions Part 2
0:14:27
Closed
Recorded Session
Hyperbolic Functions
2 Lessons 0:42:38
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Improper Integrals
0:16:13
Closed
Recorded Session
techniques of 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
Trigonometric Integrals
1 Lessons 0:38:44
Trigonometric Integrals
0:38:44
Closed
Recorded Session
Trigonometric Substitutions
2 Lessons 1:10:53
Trigonometric Substitutions Part 1
0:42:21
Closed
Recorded Session
Trigonometric Substitutions Part 2
0:28:32
Closed
Recorded Session
Sequences and Infinite Series
2 Lessons 0:23:54
Sequences
0:13:20
Closed
Recorded Session
Series
0:10:34
Closed
Recorded Session
Laplace and Fourier Transform
1 Lessons 0:20:12
‏ Laplas Transform
0:20:12
Closed
Recorded Session
Fourier 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