Calculus I (MATH 101)

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

Total Lessonses 54 Total hours : 29:22:62 Duration Of Course 17 weeks
  • About the Course :

    This course will cover the limits and continuity, differentiation, and integration of functions with one variable, and it includes the fundamental theorem of calculus.




  • You Will Learn :

    Function, Concept of Limit, Formal Definition of Limits, Computation of Limits, Continuity, Limits Involving Infinity, Asymptotes, The Derivative, Computation of Derivatives, Tangent Lines and Velocity, The Product and Quotient Rules, The Chain Rule, Derivatives of Trigonometric, Derivatives Exponential and Logarithmic Functions, Implicit Differentiation, Inverse Trigonometric Functions, The Mean Value Theorem, Indeterminate Forms & Hospital’s Rule, Maximum and Minimum Values, Increasing and Decreasing Functions, Concavity & Second Derivative Test, Curve Sketching, Antiderivatives, Sums and Sigma Notation, Riemann Sum, Area, The Definite Integral, The Fundamental Theorem of Calculus, and Integration by Substitution.




  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 101
    * University Name : Imam Mohammad Ibn Saud Islamic University




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Total Lessonses 54 Total Hours 29:22:62 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
Function
8 Lessons 3:41:30
Functions
0:33:44
Show
Recorded Session
Function Operation
0:18:43
Closed
Recorded Session
Exponential Functions part 1
0:32:33
Closed
Recorded Session
Exponential Functions Part 2
0:28:30
Closed
Recorded Session
Functions and Their Graphs
0:30:37
Closed
Recorded Session
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
Concept of Limit, Formal Definition of Limits
3 Lessons 1:21:38
Introduction to Limits Part 1
0:30:35
Closed
Recorded Session
Introduction to Limits Part 2
0:31:14
Closed
Recorded Session
Definition of Limits
0:19:49
Closed
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Computation of Limits
3 Lessons 1:39:51
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
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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
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Continuity Part 2
0:36:54
Closed
Recorded Session
The Derivative
4 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
Differentiation Formulas Part 1
0:36:26
Closed
Recorded Session
Differentiation Formulas Part 2
0:23:58
Closed
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Computation of Derivatives
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
Tangent Lines and Velocity
1 Lessons 0:27:50
The Derivative as a Function
0:27:50
Closed
Recorded Session
The Product and Quotient Rules
2 Lessons 0:42:20
Deivatives of polynomials
0:16:54
Closed
Recorded Session
The product and Qutient Rules
0:42:20
Closed
Recorded Session
Derivatives of Trigonometric Functions
2 Lessons 1:15:45
Derivatives of Trigonometric Functions
0:41:34
Closed
Recorded Session
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
Recorded Session
Derivatives Exponential and Logarithmic Functions
2 Lessons 0:29:50
Derivative of Natural Exponents
0:14:53
Closed
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Derivative of Natural logarithms
0:13:57
Closed
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The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
Recorded Session
Implicit Differentiation and Inverse Trigonometric Functions
1 Lessons 0:35:04
Implicate Derivatives
0:35:05
Closed
Recorded Session
Indeterminate Forms & Hospital’s Rule
1 Lessons 0:24:17
Indeterminate Forms and Hospital 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
0:28:43
Closed
Recorded Session
Minimum and Maximun values part 2
0:31:10
Closed
Recorded Session
Mean value Theorem
1 Lessons 0:21:33
The Mean Value Theorem
0:21:34
Closed
Recorded Session
Concavity & Second Derivative Test
3 Lessons 1:20:13
Concavity & Inflection points
0:10:20
Closed
Recorded Session
second ordered derivatives and Functions Graph part 1
0:32:14
Closed
Recorded Session
second ordered derivatives and Functions Graph part 2
0:37:39
Closed
Recorded Session
Curve Sketching
1 Lessons 0:45:24
Summary of Curve Sketching
0:45:26
Closed
Recorded Session
Antiderivatives
1 Lessons 0:29:25
Antiderivatives and Infinite Integrals
0:29:25
Closed
Recorded Session
Sums and Sigma Notation, Riemann Sum
3 Lessons 0:38:49
Remian Sum and Definite Integrals
0:38:49
Closed
Recorded Session
Summation Notation part 1
0:22:36
Closed
Recorded Session
Summation Notation part 2
0:16:21
Closed
Recorded Session
Area
3 Lessons 2:14:22
Integrals
1:22:52
Closed
Recorded Session
Numerical Integrals
0:21:27
Closed
Recorded Session
Applications of Integration Area Between Two Curve
0:30:30
Closed
Recorded Session
The Definite Integral
2 Lessons 1:34:30
DEfinite Integrals and _Mean value Theorem of Integration part 1
0:23:00
Closed
Recorded Session
DEfinite Integrals and _Mean value Theorem of Integration part 2
1:11:30
Closed
Recorded Session
The Fundamental Theorem of Calculus
1 Lessons 0:35:37
The Fundamental Theorem of Calculus
0:35:37
Closed
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Integration By Substitution
1 Lessons 0:36:20
The Rule of Substitution
0:36:20
Closed
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job