Calculus I (MTH 101)

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

Total Lessonses 65 Total hours : 36:30:29 Duration Of Course 17 weeks
  • About the Course :

    Calculus (1) is a branch of mathematics that serves a variety of problems that arise in physics, astronomy, engineering, chemistry, geology, biology, and the social sciences in which a real-valued function is studied.



  • You Will Learn :

    Real Numbers, Inequalities, Absolute Value and Inequalities of Absolute Value, Function and its Properties, Algebraic Operations on Functions, Composition of Functions, Inverse Functions, Limits and their Theorems, Finding Limits by Definition of ε and δ, Continuity of Functions, Algebraic Continuous Functions, Derivative Definition, Slope of Tangential, The Geometric Meaning of the Derivative, Instantaneous Rate of Change, The Relationship Between the Derivative and Continuity, Differentiation Rules, Chain Rule, Implicit Functions and Parametric Functions, Higher-Order Derivatives, Leibnitz Theorem, Differentiation of Trigonometric and their Inverses, Differentiation of Exponential and Logarithmic Functions, Mean Value Theorem, L'Hospital's Rule, Taylor and Maclaurin Series, Increasing and Decreasing Functions, Maximum and Minimum Values, Applications Of Maximum and Minimum Values, Concavity, Inflection Points, Curve Sketching, Anti Derivative, Indefinite Integrals, Definite Integral the Fundamental Theorem of Calculus, Integration Using Substitutions, and Integration by Parts.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 101
    * University Name : Majmaah University



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Total Lessonses 65 Total Hours 36:30:29 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
Real Numbers and Inequalities
3 Lessons 1:12:14
Sets of Numbers and Inequalities Part1
0:24:14
Show
Recorded Session
Sets of Numbers and Inequalities Part 2
0:27:12
Closed
Recorded Session
Sets of Numbers and Inequalities Part 3
0:20:48
Closed
Recorded Session
Absolute Value and Inequalities of Absolute Value
1 Lessons 0:36:47
Absolute Value
0:36:47
Closed
Recorded Session
Linear Equations
2 Lessons 0:36:11
Line Equatons
0:14:43
Closed
Recorded Session
Linear Equations in One Variable
0:21:28
Closed
Recorded Session
Function and its Properties
1 Lessons 0:33:44
Functions
0:33:44
Closed
Recorded Session
Algebraic Operations on Functions
1 Lessons 0:18:43
Functions Operations
0:18:43
Closed
Recorded Session
Exponential Functions
2 Lessons 1:01:03
Exponential Functions part 1
0:32:33
Closed
Recorded Session
Exponential Functions Part 2
0:28:30
Closed
Recorded Session
Trigomometric Functions and Their Inverse
3 Lessons 1:17:23
Trigomometric Functions and Their Inverse Part 1
0:25:35
Closed
Recorded Session
Trigomometric Functions and Their Inverse Part 2
0:24:29
Closed
Recorded Session
Trigomometric Functions and Their Inverse Part 3
0:27:19
Closed
Recorded Session
Composition of Functions
2 Lessons 1:03:58
New Functions from old functions part 1
0:29:49
Closed
Recorded Session
New Functions from old functions part 2
0:34:09
Closed
Recorded Session
Inverse Functions and Inverse Trigonometric Functions
2 Lessons 0:58:31
Inverse Functions
0:16:13
Closed
Recorded Session
Inverse Functions and Logarithms
0:42:18
Closed
Recorded Session
Functions and Their Graphs
1 Lessons 0:30:37
Functions and Their Graphs
0:30:37
Closed
Recorded Session
Introduction to Limits
2 Lessons 1:01:49
Introduction to Limits Part 1
0:30:35
Closed
Recorded Session
Introduction to Limits Part 2
0:31:14
Closed
Recorded Session
Finding Limits by Definition of ε and δ
1 Lessons 0:19:49
Definition of Limits
0:19:49
Closed
Recorded Session
Limits and Their Theorems
3 Lessons 1:39:52
Limit Laws Part 1
0:36:19
Closed
Recorded Session
Limit Laws Part 2
0:36:20
Closed
Recorded Session
Limits Using The Limits Laws
0:27:13
Closed
Recorded Session
Limits Involving Infinity
1 Lessons 0:31:23
Limits Involving Infinity
0:31:23
Closed
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Limits at Infinity (Horizontal Asymptotes)
1 Lessons 0:32:05
Limits at Infinity (Horizontal Asymptotes)
0:32:05
Closed
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Continuity of Functions
2 Lessons 1:08:31
Continuity part 1
0:31:37
Closed
Recorded Session
Continuity Part 2
0:36:54
Closed
Recorded Session
Derivative Definition and Tangent Line Equation
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
The Derivative as a Function
1 Lessons 0:27:05
The Derivative As a Function
0:27:50
Closed
Recorded Session
The Geometric Meaning of The Derivative
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 Relationship Between the Derivative and Continuity
1 Lessons 0:20:01
‏Differential Functions and Continuity
0:20:01
Closed
Recorded Session
Differentiation Rules
1 Lessons 0:16:54
Deivatives of polynomials and Exponential Functions
0:16:54
Closed
Recorded Session
The product and Qutient Rules
1 Lessons 0:42:20
The product and Qutient Rules
0:42:20
Closed
Recorded Session
Differentiation of Trigonometric and Their Inverses
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
Closed
Recorded Session
Differentiation of Exponential and Logarithmic Functions
2 Lessons 0:28:50
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
Derivative of Natural Logarithms
0:13:57
Closed
Recorded Session
Higher-Order Derivatives, Leibnitz Theorem
1 Lessons 0:08:18
Higher Derivatives
0:08:18
Closed
Recorded Session
The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
Recorded Session
Implicit Functions and parametric Functions
1 Lessons 0:35:04
Implicate Derivatives
0:35:04
Closed
Recorded Session
Instantaneous Rate of Change
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
L'Hospital's Rule
1 Lessons 0:24:17
Indeterminate forms and L-Hospitals Rule
0:24:17
Closed
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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
The Mean Value Theorem
1 Lessons 0:21:34
The Mean Value Theorem
0:21:34
Closed
Recorded Session
Taylor and Maclaurin Series
1 Lessons 0:13:46
‏ Taylor Series
0:13:46
Closed
Recorded Session
Concavity and Inflection Points
1 Lessons 0:10:20
Concavity & Inflection points
0:10:20
Closed
Recorded Session
Curve Sketching
1 Lessons 0:42:26
Summary of Curve Sketching
0:45:26
Closed
Recorded Session
Applications Of Maximum and Minimum Values
1 Lessons 0:19:51
Optimization problems
0:19:51
Closed
Recorded Session
Antiderivatives
1 Lessons 0:29:25
Antiderivatives and Infinite Integrals
0:29:25
Closed
Recorded Session
Indefinite Integrals
4 Lessons 2:16:32
Indefinite Integrals part1
0:21:07
Closed
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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
Numerical Integrals
1 Lessons 0:21:27
Numerical Integrals
0:21:27
Closed
Recorded Session
Integrals
1 Lessons 1:22:52
Integrals
1:22:52
Closed
Recorded Session
The Fundamental Theorem of Calculus
1 Lessons 0:35:37
The Fundamental Theorem of Calculus
0:35:37
Closed
Recorded Session
Definite Integrals and _Mean Value Theorem of Integration
1 Lessons 0:23:00
Definite Integrals and _Mean value theorem of integration
0:23:00
Closed
Recorded Session
Integration Using 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
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مجموعة المستقبل للتعليم

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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job