Calculus II (MATH 205)

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

Total Lessonses 33 Total hours : 17:21:08 Duration Of Course 17 weeks
  • About the Course :

    Definite integrals of functions of a single variable, fundamental theorem of calculus, indefinite integrals, applications of the definite integral to area, volume, arc length and surface of revolution, integral of trigonometric and hyperbolic functions and their inverses, techniques of integrations, improper integrals, infinite sequences and series, converging tests, alternating series, absolute and conditional convergence, power series, Taylor and Maclaurin series, convergence of Taylor’s series, the binomial series and applications of Taylor’s 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, Draw graphs for specific problems and identify Initial condition, 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, Relative Rates of Growth, 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, and Improper Integrals.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 205
    * University Name : Imam Abdulrahman Bin Faisal University



  • Suggested courses:

Completion Rate

0%

Student Assignments

0 Homeworks
Show

0 Quiz
Show

0 Exmas
Show

Total Lessonses 33 Total Hours 17:21:08 Duration Of Course 17 weeks
Sigma Notation and Limits of Finite Sums
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
Remian Sum and Definite integrals
1 Lessons 0:38:49
Reiman Sum and Definite Integrals
0:38:49
Show
Recorded Session
Definite Integrals and _Mean value theorem of integration
2 Lessons 1:34:30
Indefinite Integratioon and the NET change theorem
1:11:30
Closed
Recorded Session
Definite Integrals and _Mean Value Theorem of Integration
0:23:00
Closed
Recorded Session
Indefinite Integrals
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
The Fundamental Theorem of Calculus
1 Lessons 0:35:37
The Fundamental Theorem of Calculus
0:35:37
Closed
Recorded Session
The Substitution Method
1 Lessons 0:36:20
The Rule Substitution
0:36:20
Closed
Recorded Session
Definite Integral Substitutions and the Area Between Curves
3 Lessons 1:40:56
Applications of Integration Area Between Two Curve
0:30:03
Closed
Recorded Session
Trigonometic Substitution part 1
0:42:21
Closed
Recorded Session
Trigonometic Substitution part 2
0:28:32
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
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
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
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Using Basic Integration Formulas
1 Lessons 1:22:52
Integrals
1:22:52
Closed
Recorded Session
Numerical Integration
1 Lessons 0:21:27
Numerical Integrals
0:21:27
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
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
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
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
Integration Using Tables and Technology
0:31:34
Closed
Recorded Session
Improper Integrals
1 Lessons 0:16:13
Improper Integrals
0:16:13
Closed
Recorded Session
★★★★★
5
★★★★☆
4
★★★☆☆
3
★★☆☆☆
2
★☆☆☆☆
1

0.0

★★★★★

Rates 0

Rates students about this course


مجموعة المستقبل للتعليم

Academic University Student

Speciality : Mathematics

3.5 / 2

  • 252 Courses 0 Rates 0 Students

About Teacher

...


Student ratings and comments

Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job