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Calculus II (MATH 103)

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Calculus II (MATH 103)

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

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Total Lessonses 46 Total hours : 22:18:57 Duration Of Course 17 weeks

About the Course :

The definite integrals, fundamental theorem of calculus, the indefinite integrals, change of variables, numerical integration. area, volume of revolution, work, arc length, differentiation and integration of inverse trigonometric functions, the logarithmic, exponential, hyperbolic and inverse hyperbolic functions, techniques of integration: substitution by parts, trigonometric substitutions, partial fractions, miscellaneous substitutions, indeterminate forms, improper integrals, and polar coordinates.
You Will Learn :

Antiderivative, Indefinite Integral, Reiman Sum, Properties of Definite Integrals, Integration by Substitutions, Definite and Indefinite Integrals, Substitution of Trigonometric Functions, Derivatives of Exponential Functions, Integration of Exponential Functions, Derivatives of Logarithms Functions, Integration of Logarithms Functions, L- Hospital’s Rule, Derivatives and Integrations Involving Trigonometric and Hyperbolic Functions, Integration by parts, Integration by Partial Fractions, Integration of Trigonometric Functions, Integration by Trigonometric Substitution, Intervals involving Quadratic Form, Improper Integrals, Areas, Volumes, Arc Length, Sequences, Series, Convergence Tests, Comparison Tests, Ratio Test, Root Test, Absolute and Conditional Convergence, Maclurin and Taylor Polynomials, and Power Series.
Target Group :

*Academic Level : Academic University Student
* Speciality : Mathematics
* Material : MATH 103
* University Name : Princess Nourah Bint Abdulrahman University
Suggested courses:

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Student Assignments

0 Homeworks
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0 Quiz
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0 Exmas
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Total Lessonses 46 Total Hours 22:18:57 Duration Of Course 17 weeks

Antiderivatives

1 Lessons

0:29:25

Antiderivatives and Infinite Integrals
0:29:25

Show

Recorded Session

Reiman Sum

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

Remian Sum and Definite integrals
0:38:49

Closed

Recorded Session

Indefinite Integrals

2 Lessons

1:46:07

Integrals
1:22:52

Closed

Recorded Session

Numerical Integrals
0:21:27

Closed

Recorded Session

Properties of Definite Integrals

2 Lessons

0:46:15

Strategy for Integration
0:23:15

Closed

Recorded Session

Definite Integrals and _Mean value theorem of integration
0:23:00

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

Integration by Substitutions

1 Lessons

0:36:20

The Rule of Substitution
0:36:20

Closed

Recorded Session

Derivatives of Exponential Functions

1 Lessons

0:14:53

Derivative of Natural Exponents
0:14:53

Closed

Recorded Session

Integration of 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

Derivatives of Logarithms Functions

1 Lessons

0:13:57

Derivative of Natural Logarithms
0:13:57

Closed

Recorded Session

Integration of Logarithms Functions

1 Lessons

0:25:03

Integration Using Natural Logarithms
0:25:03

Closed

Recorded Session

L- Hospital’s Rule

1 Lessons

0:24:17

Indeterminate Forms and Hospital Rule
0:24:17

Closed

Recorded Session

Derivatives and Integrations involving Trigonometric and Hyperbolic Functions

3 Lessons

1:42:54

Derivatives of Trigonometric Functions
0:41:34

Closed

Recorded Session

Integration of Inverse Trigonometric Functions
0:34:55

Closed

Recorded Session

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

Integration 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 of Trigonometric Functions

1 Lessons

0:38:44

Trigonometric Integrals
0:38:44

Closed

Recorded Session

Integration by Trigonometric Substitution

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

Intervals involving Quadratic Form

1 Lessons

0:24:00

Integration Involving Quadratic Form
0:24:00

Closed

Recorded Session

Improper Integrals

1 Lessons

0:16:13

Improper Integrals
0:16:13

Closed

Recorded Session

Area

1 Lessons

0:30:03

Applications of Integration Area Between Two Curve
0:30:03

Closed

Recorded Session

Volumes

2 Lessons

0:53:33

Volumes
0:31:31

Closed

Recorded Session

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

Sequences and Series

2 Lessons

0:23:54

Sequences
0:13:20

Closed

Recorded Session

Series
0:10:34

Closed

Recorded Session

Convergence Tests

1 Lessons

0:05:03

Convergent Divergent Series
0:05:03

Closed

Recorded Session

Power and P-Series

2 Lessons

0:32:44

Power Series
0:12:01

Closed

Recorded Session

P-Series
0:20:43

Closed

Recorded Session

Comparison Tests

1 Lessons