Calculus I (MATH 115)

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

Total Lessonses 51 Total hours : 29:35:75 Duration Of Course 17 weeks
  • About the Course :

    This course will cover the understanding of limits and continuity of functions, the meaning of derivatives of a function in terms of rate of change, differentiation rules, local linear approximation and integration for functions, and the use of derivatives to solve a variety of derivatives with one variable. This course also includes the fundamental theorem of calculus, the use of the Reiman sum, and finding the integration for functions.




  • You Will Learn :

    Functions, Limits and Continuity, Formal Definition of Limits, Computation of limits and Finding limits Graphically, Continuity, Limits Involving Infinity, Asymptotes, The Derivative Definition, Derivatives Rules, Tangent Lines and Velocity, The Product and Quotient Rules, The Chain Rule, Higher Derivatives, Derivatives of Trigonometric, Derivatives Exponential and Logarithmic Functions, Implicit Differentiation, and Inverse Trigonometric Functions, The Mean Value Theorem, Indeterminate Forms & L'Hopital's Rule, Intermediate Value Theorem and Rolle’s Theorem, Extrema Values and 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 and Area between Two Curves.




  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 115
    * University Name : Imam Mohammad Ibn Saud Islamic University




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Total Lessonses 51 Total Hours 29:35:75 Duration Of Course 17 weeks
Function
8 Lessons 3:41:35
Functions
0:33:44
Show
Recorded Session
Function Operation
0:18:43
Show
Recorded Session
Exponential Functions part 1
0:32:33
Show
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
Formal Definition of Limits
3 Lessons 1:21:39
Introduction to Limits Part 1
0:30:35
Closed
Recorded Session
Introduction to Limits Part 2
0:31:14
Closed
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Definition of Limits
0:19:49
Closed
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Computation of Limits
3 Lessons 1:39:51
Limit Laws Part 1
0:36:19
Closed
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Limit Laws Part 2
0:36:20
Closed
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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
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Asymptotes
1 Lessons 0:32:05
Limits at Infinity (Horizontal Asymptotes)
0:32:05
Closed
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Continuity
2 Lessons 1:08:31
Continuity part 1
0:31:37
Closed
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Continuity Part 2
0:36:54
Closed
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The Derivative Definition and Tangent Lines and Velocity
5 Lessons 2:47:05
Derivatives and Rates of Change part 1
0:39:48
Closed
Recorded Session
Derivatives and Rates of Change part 2
0:39:03
Closed
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Differentiation Formulas Part 1
0:36:26
Closed
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Differentiation Formulas Part 2
0:23:58
Closed
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The Derivative as a Function
0:27:50
Closed
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Derivative Rules
1 Lessons 0:16:54
Deivatives of polynomials
0:16:54
Closed
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The Product and Quotient Rules
1 Lessons 0:42:20
The product and Qutient Rules
0:42:20
Closed
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Derivatives of Trigonometric Functions
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
Closed
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Derivatives of Inverse Trigonometric Functions
1 Lessons 0:34:11
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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Higher Derivatives
1 Lessons 0:8:18
Higher Derivatives
0:08:18
Closed
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The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
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Implicit Differentiation
1 Lessons 0:35:04
Implicate Derivatives
0:35:05
Closed
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Indeterminate Forms & Hospital’s Rule
1 Lessons 0:24:17
Indeterminate Forms and Hospital Rule
0:24:17
Closed
Recorded Session
Extrema Values and Increasing and Decreasing Functions
2 Lessons 0:59:51
Minimum and Maximun values part 1
0:28:43
Closed
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Minimum and Maximun values part 2
0:31:10
Closed
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Intermediate Value Theorem and Rolle’s Theorem
1 Lessons 0:21:33
The Mean Value theorem
0:21:34
Closed
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Concavity & Second Derivative Test
3 Lessons 1:20:13
Concavity & Inflection points
0:10:20
Closed
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Second Ordered Derivatives and Functions Graph part 1
0:32:14
Closed
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Second Ordered Derivatives and Functions Graph part 2
0:37:39
Closed
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Curve Sketching
1 Lessons 0:45:24
Summary of Curve Sketching
0:45:26
Closed
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Antiderivatives
1 Lessons 0:29:25
Antiderivatives and Infinite Integrals
0:29:25
Closed
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Sums and Sigma Notation, Riemann Sum
3 Lessons 1:17:46
Summation Notation part 1
0:22:36
Closed
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Summation Notation part 2
0:16:21
Closed
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Remian Sum and Definite integrals
0:38:49
Closed
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Area
3 Lessons 2:13:22
Integrals
1:22:52
Closed
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Numerical Integrals
0:21:27
Closed
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Applications of Integration Area Between two Curve
0:30:03
Closed
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The Definite Integral
2 Lessons 1:34:30
Indefinite Integratioon and the NET ChangeTheorem
1:11:30
Closed
Recorded Session
Definite Integrals and _Mean Value Theorem of Integration
0:23:00
Closed
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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 and Area between Two Curves
1 Lessons 0:36:20
The Rule Substitution
0:36:20
Closed
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job