Calculus I (MATH 127)

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

Total Lessonses 44 Total hours : 23:25:93 Duration Of Course 17 weeks
  • About the Course :

    Functions, limits, continuity, trigonometric functions, tangents, instantaneous rates of change, velocities and derivatives, the chain rule, implicit differentiation, higher derivatives, exponential functions, inverse functions, the mean value theorem, monotonic functions, concavity, points of inflection, applied maximum and minimum problems, definite and indefinite integrals, and the fundamental theorem of calculus.



  • You Will Learn :

    Functions, Inverse Functions, Trigonometric Function, Inverse of Trigonometric Function, 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, L’Hospital’s Rule, Rolle’s Theorems, Mean Value Theorem, Maximum and Minimum, Values, Increasing and Decreasing Functions, Concavity and Second Derivatives Test, Application of Derivatives, Definite Integrals, Indefinite Integrals, and The Fundamental Theorem of Calculus.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 127
    * University Name : Effat University



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Total Lessonses 44 Total Hours 23:25:93 Duration Of Course 17 weeks
Function s and Function Operations
5 Lessons 2:24:07
Functions
0:33:44
Show
Recorded Session
Functions Operations
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
Composite Functions and Inverse Functions
2 Lessons 1:03:58
Composite of Functions Part 1
0:29:49
Closed
Recorded Session
Composite of Functions Part 2
0:34:09
Closed
Recorded Session
Trigonometric Functions and Inverse of Trigonometric Functions
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
Intermediate Value Theorem
1 Lessons 0:18:30
Intermediate Value Theorem
0:18:30
Closed
Recorded Session
Introduction to limits
2 Lessons 1:01:49
Introduction to Limits Part 1
0:30:35
Closed
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Introduction to Limits Part 2
0:31:14
Closed
Recorded Session
Definition of The Limit
1 Lessons 0:19:49
Definition of Limits
0:19:49
Closed
Recorded Session
Calculating Limits and The Limits Laws
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
0:27:13
Closed
Recorded Session
‏Limits of Trigonometry Functions
1 Lessons 0:16:43
Limits of Trigonometric Functions
0:16:43
Closed
Recorded Session
Limits at Infinity
1 Lessons 0:31:23
Limits Involving Infinity
0:31:23
Closed
Recorded Session
Vertical and Horizontal Asymptotes
1 Lessons 0:32:05
Limits at Infinity (Horizontal Asymptotes)
0:32:05
Closed
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Continuous and Discontinuous Functions and Theorems of 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
Derivatives and Rate 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
The Derivative As a Function
1 Lessons 0:27:50
The Derivative As a Function
0:27:50
Closed
Recorded Session
Differentiation Formulas
2 Lessons 1:00:24
Differentiation Formulas Part 1
0:36:26
Closed
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Differentiation Formulas Part 2
0:23:58
Closed
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Derivative of Polynomials
1 Lessons 0:16:54
Deivatives of polynomials and Exponential Functions
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
Recorded Session
Derivatives of Trigonometric Functions
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
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
Implicit Differentiation
0:35:04
Closed
Recorded Session
Derivative of Natural Exponents
1 Lessons 0:14:53
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
Derivatives of Logarithmic Functions
1 Lessons 0:13:57
Derivative of Natural Logarithms
0:13:57
Closed
Recorded Session
Derivatives of Inverse Functions
1 Lessons 0:34:11
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
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Related Rates
2 Lessons 1:13:20
Related Rate part 1
0:31:34
Closed
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Related Rate part 2
0:41:46
Closed
Recorded Session
Maximum and Minimum Values and Extrema Values
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
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Concavity
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
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Indeterminate Forms and L’Hopital’s Rule
1 Lessons 0:24:17
Indeterminate Forms & L'Hopital's Rule
0:24:17
Closed
Recorded Session
Optimization
1 Lessons 0:19:51
Optimization Problems
0:19:51
Closed
Recorded Session
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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job