Calculus II (MATH 145)

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

Total Lessonses 37 Total hours : 17:30:33 Duration Of Course 17 weeks
  • About the Course :

    This is an intermediate level calculus course designed for undergraduate engineering students. This course covers mainly the integration and basic principles of vectors and their applications. At the beginning of this course, the instructor will give the review of differentiation and integration. In depth, the students will learn the methods of integration and vectors. The topic covered include, techniques of integration, improper integration, applications of integration, infinite sequences and series, (power series and Taylor’s series), polar coordinates, transcendental functions, vectors, and vector valued functions).



  • You Will Learn :

    Rules of Derivatives Review, Integrable Functions, Summations, Reiman Sum, Definition of Integrations, Integration of Trigonometry Functions, Integration by Substitutions, Integration by Parts, Integration of Partial Fractions, Arae, Volumes, Arc Length, Vectors, Operations of Vectors, Polar Coordinates, Improper Integration, Infinite Sequences and Series, Power Series, Taylor’s Series, Transcendental Functions, and Vector Valued Functions.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 145
    * University Name : King Faisal University



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Total Lessonses 37 Total Hours 17:30:33 Duration Of Course 17 weeks
Rules of Derivatives Review
4 Lessons 1:27:24
Deivatives of polynomials and Exponential Functions
0:16:54
Show
Recorded Session
The product and Qutient Rules
0:42:20
Show
Recorded Session
Derivative of Natural Exponents
0:14:53
Show
Recorded Session
Derivative of Natural Logarithms
0:13:57
Closed
Recorded Session
Integrable Functions
1 Lessons 0:29:25
Antiderivatives and Infinite Integrals
0:29:25
Closed
Recorded Session
Summations
2 Lessons 0:38:57
Summation Notation part 1
0:22:36
Closed
Recorded Session
Summation Notation part 2
0:16:21
Closed
Recorded Session
Reiman Sum
1 Lessons 0:38:49
Reiman Sum
0:38:49
Closed
Recorded Session
Definition of Integrations
1 Lessons 1:22:52
Integrals
1:22:52
Closed
Recorded Session
Indefinite Integratioon and the NET ChangeTheorem
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
2 Lessons 0:23:00
Definite Integrals and _Mean Value Theorem of Integration
0:23:00
Closed
Recorded Session
Integration of Trigonometry Functions
1 Lessons 0:38:44
Trigonometric Integrals
0:38:44
Closed
Recorded Session
Integration by Substitutions
1 Lessons 0:36:20
The Rule of Substitution
0:36:20
Closed
Recorded Session
Integration By Parts
1 Lessons 0:29:07
Integration By Parts
0:29:07
Closed
Recorded Session
Integration of 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
Arae
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
1 Lessons 0:15:17
Arc Length and Curvature
0:15:17
Closed
Recorded Session
Vectors
1 Lessons 0:19:39
Vectors
0:30:47
Closed
Recorded Session
Operations of Vectors
1 Lessons 0:22:50
Dot Product and Cross Products
0:22:50
Closed
Recorded Session
Polar Coordinates
3 Lessons 0:50:38
Polar Coordinates and Cartesian Coordinates
0:14:49
Closed
Recorded Session
Polar Coordinates Graphs Part 1
0:12:50
Closed
Recorded Session
Polar Coordinates Graphs Part 2
0:22:59
Closed
Recorded Session
Improper Integration
1 Lessons 0:16:13
Improper Integrals
0:16:13
Closed
Recorded Session
Infinite Sequences and Series
2 Lessons 0:23:54
Sequences
0:13:20
Closed
Recorded Session
Series
0:10:37
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 Series
2 Lessons 0:37:52
‏ Taylor Series
0:13:46
Closed
Recorded Session
The Taylor Series Expansion
0:24:06
Closed
Recorded Session
Transcendental Functions
1 Lessons 0:10:41
Transcendental Functions
0:10:41
Closed
Recorded Session
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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job