Calculus I (MATH 1422)

الدوال، الحدود، التفاضل، تطبيقات التفاضل، ورسم المنحنيات.

Total Lessonses 54 Total hours : 30:38:87 Duration Of Course 17 weeks
  • About the Course :

    This course covers the following subjects: real numbers and real lines—inequalities Functions: the graph of functions; even and odd functions; a composite of functions; trigonometric functions; inverse functions; inverse trigonometric functions; limits; properties of limits; techniques for evaluating limits; infinite limits continuity; properties of continuity; differentiation; the relationship between differentiation and continuity; differentiation laws; derivatives of trigonometric and inverse trigonometric functions; derivatives of hyperbolic and inverse hyperbolic functions; logarithmic and exponential functions and their derivatives using the first derivative to study increasing and decreasing functions' implicit differentiation; L'Hospital’s rule, Rolle's rule, and the mean value theorems use differentiation to study the concavity of functions and some applications of differentiation.



  • You Will Learn :

    Computation of Limits, Limits Involving Infinity, Asymptotes, Continuity, Tangent Line and Rates of Change, Techniques of Differentiation, The Product and Quotient Rules, Derivatives of Exponential Functions, Derivatives of Logarithms Functions, Derivatives of Trigonometry Functions, Derivatives of Inverse Trigonometric Functions, Derivatives of Hyperbolic Functions, The Chain Rule, Parametric Differentiations, Implicit Differentiation, Related Rates, Maximum and Minimum Values, Increasing and Decreasing Functions, Concavity and Second Derivatives Test, L’Hospital’s Rule, Indeterminate Forms, Rolle’s Theorems, Mean Value Theorem, Optimizations, Definition of Integration, Rules of Integrations, Integration of Trigonometry Functions, Integration by Substitution, Area, and Volumes.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 1422
    * University Name : Prince Mohammad Bin Fahd University



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Total Lessonses 54 Total Hours 30:38:87 Duration Of Course 17 weeks
Introduction To Calculus
2 Lessons 1:37:46
Introduction To Calculus Part 1
0:53:02
Show
Recorded Session
Introduction To Calculus Part 2
0:44:44
Show
Recorded Session
Introduction to Limits
2 Lessons 1:01:49
Introduction to Limits Part 1
0:30:35
Show
Recorded Session
Introduction to Limits Part 2
0:31:14
Closed
Recorded Session
Definition of Limits
1 Lessons 0:19:49
Definition of Limits
0:19:49
Closed
Recorded Session
Computation of Limits
3 Lessons 1:39:52
Limits Laws Part 1
0:36:19
Closed
Recorded Session
Limits Laws Part 2
0:36:20
Closed
Recorded Session
Limits Using The Limits Laws
0:27:14
Closed
Recorded Session
Limits Involving Infinity
1 Lessons 0:31:23
Limits Involving Infinity
0:31:23
Closed
Recorded Session
Asymptotes
1 Lessons 0:32:05
Limits at Infinity (Horizontal Asymptotes)
0:32:05
Closed
Recorded Session
Continuity
2 Lessons 1:08:31
Continuity part 1
0:31:37
Closed
Recorded Session
Continuity Part 2
0:36:54
Closed
Recorded Session
Tangent Line and Rates of Change
2 Lessons 1:18:51
Derivatives and Rates of Change part 1
0:39:48
Closed
Recorded Session
Derivatives and Rates of Change part 2
0:39:03
Closed
Recorded Session
Techniques of Differentiation
2 Lessons 1:00:24
Differentiation Formulas Part 1
0:36:26
Closed
Recorded Session
Differentiation Formulas Part 2
0:23:58
Closed
Recorded Session
The Derivative As a Function
1 Lessons 0:27:50
The Derivative As a Function
0:27:50
Closed
Recorded Session
The Product and Quotient Rules
2 Lessons 0:59:14
Deivatives of polynomials and Exponential Functions
0:16:54
Closed
Recorded Session
The product and Qutient Rules
0:42:20
Closed
Recorded Session
Derivatives of Exponential Functions
1 Lessons 0:14:53
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
Derivatives of Logarithms Functions
1 Lessons 0:13:57
Derivative of Natural logarithms
0:13:57
Closed
Recorded Session
Derivatives of Trigonometry Functions
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
Closed
Recorded Session
Derivatives of Inverse Trigonometric Functions
1 Lessons 0:34:11
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
Recorded Session
Higher Derivatives
1 Lessons 0:08:18
Higher Derivatives
0:08:18
Closed
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Hyperbolic Functions
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
Closed
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The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
Recorded Session
Implicit Differentiation
1 Lessons 0:35:04
Implicate Derivatives
0:35:04
Closed
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Parametric Differentiations
2 Lessons 0:39:05
Parametric Equations
0:16:36
Closed
Recorded Session
Parametric Equations and polar coordinates
0:22:29
Closed
Recorded Session
Related Rates
2 Lessons 1:13:20
Related Rate part 1
0:31:34
Closed
Recorded Session
Related Rate part 2
0:41:46
Closed
Recorded Session
Indeterminate forms and L-Hospitals Rule
1 Lessons 0:24:17
Indeterminate Forms & L'Hopital's Rule
0:24:17
Closed
Recorded Session
Maximum and Minimum values and Increasing and Decreasing Functions
2 Lessons 0:59:51
Minimum and Maximun Values part 1
0:28:42
Closed
Recorded Session
Minimum and Maximun Values part 2
0:31:09
Closed
Recorded Session
Mean Value Theorem and Rolls Theorems
1 Lessons 0:21:34
The Mean Value Theorem
0:21:34
Closed
Recorded Session
Concavity and Second Derivatives Test
1 Lessons 0:10:20
Concavity & Inflection points
0:10:20
Closed
Recorded Session
Curve Sketching
1 Lessons 0:45:26
Summary of Curve Sketching
0:45:26
Closed
Recorded Session
Optimizations Problems
1 Lessons 0:19:51
Optimization Problems
0:19:51
Closed
Recorded Session
Antiderivatives and Infinite Integrals
1 Lessons 0:29:25
Antiderivatives and Infinite Integrals
0:29:25
Closed
Recorded Session
Remian Sum and Definite integrals
3 Lessons 1:17:46
Summation Notation part 1
0:22:36
Closed
Recorded Session
Summation Notation part 2
0:16:21
Closed
Recorded Session
Reiman Sum and Definite Integrals
0:38:49
Closed
Recorded Session
Definition of Integration
1 Lessons 1:22:52
Integrals
1:22:52
Closed
Recorded Session
Rules of Integrations
2 Lessons 0:44:42
Numerical Integrals
0:21:27
Closed
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Strategy for Integration
0:23:15
Closed
Recorded Session
Definite Integrals and _Mean value theorem of integration
1 Lessons 0:23:00
Definite Integrals and _Mean Value Theorem of Integration
0:23:0
Closed
Recorded Session
Indefinite Integrals
4 Lessons 2:16:32
Indefinite Integrals part1
0:21:07
Closed
Recorded Session
Indefinite Integrals part 2
0:29:04
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 of Trigonometry Functions
1 Lessons 0:38:44
Trigonometric Integrals
0:38:44
Closed
Recorded Session
Integration by Substitution
1 Lessons 0:36:20
The Rule Substitution
0:36:20
Closed
Recorded Session
Area
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
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job