Calculus I (MATH 111)

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

Total Lessonses 39 Total hours : 20:55:70 Duration Of Course 17 weeks
  • About the Course :

    This course covers several techniques in calculus: the concept of limits, computation of limits, limits involving infinity, asymptotes, and continuity. tangent line and rates of change. This course also focuses on an introduction to 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 differentiation, implicit differentiation, application of first and second ordered derivatives, maximum and minimum values, increasing and decreasing functions, concavity and second derivatives tests, the L-Hospital's rule, indeterminate forms, Rolle’s theorem, mean value theorems, Maclurin and Taylor theorems.




  • You Will Learn :

    Computation of Limits, Limits Involving Infinity, Limit Laws for Limits at Infinity, Asymptotes, Limits of Trigonometry Functions, 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, Velocity and Acceleration, Maximum and Minimum Values, Increasing and Decreasing Functions, Concavity and Second Derivatives Test, L’Hospital’s Rule, Analyzing Functions, Graphing Functions, Indeterminate Forms, Rolle’s Theorems, Mean Value Theorem, and Maclurin and Taylor Theorem.




  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 111
    * University Name : University of Hail




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Total Lessonses 39 Total Hours 20:55:70 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
Concept of Limit
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
Formal 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 of Trigonometry Functions
1 Lessons 0:16:43
Limits of Trigonometric Functions
0:16:43
Closed
Recorded Session
Infinite Limits
1 Lessons 0:31:23
Limits Involving Infinity
0:31:23
Closed
Recorded Session
Limits at Infinity (Horizontal Asymptotes)
1 Lessons 0:32:05
Limits at Infinity (Horizontal Asymptotes)
0:32:05
Closed
Recorded Session
Continuity and Consequences
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
Differentiation Formulas
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
Techniques of Differentiation
1 Lessons 0:27:50
The Derivative As a Function
0:27:50
Closed
Recorded Session
Deivatives of polynomials and Exponential Functions
1 Lessons 0:16:54
Deivatives of polynomials and Exponential Functions
0:16:54
Closed
Recorded Session
The Product and Quotient Rules
1 Lessons 0:42:20
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 Trigonometry Functions and its Inverse
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
Closed
Recorded Session
Derivatives of Logarithms Functions and Inverse Trigonometric Functions
2 Lessons 0:34:11
Derivative of Natural Logarithms
0:13:57
Closed
Recorded Session
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
Recorded Session
Hyperbolic Functions and Differentiation of Hyperbolic Functions
2 Lessons 0:36:19
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Differentiation of Hyperbolic Functions
0:09:54
Closed
Recorded Session
The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
Recorded Session
Implicate Derivatives
1 Lessons 0:35:04
Implicate Derivatives
0:35:04
Closed
Recorded Session
Parametric Equations Differentiations
1 Lessons 0:16:36
Parametric Equations
0:16:36
Closed
Recorded Session
Velocity and Acceleration and Higher Derivatives
1 Lessons 0:08:18
Higher Derivatives
0:08:18
Closed
Recorded Session
Maximum and Minimum 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 and Indeterminate Value Theorem and Rolls Theorems
1 Lessons 0:21:34
The Mean Value Theorem
0:21:34
Closed
Recorded Session
Concavity
1 Lessons 0:10:20
Concavity & Inflection points
0:10:20
Closed
Recorded Session
Second Ordered Derivatives Tests and Functions Graph
2 Lessons 1:09:53
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
Analyzing Functions, Graphing Functions
1 Lessons 0:45:26
Summary of Curve Sketching
0:45:26
Closed
Recorded Session
L-Hospitals Rule
1 Lessons 0:24:17
L'Hopital's Rule
0:24:17
Closed
Recorded Session
Maclurins and Taylors Theorem
1 Lessons 0:13:46
‏ Taylor Series
0:13:46
Closed
Recorded Session
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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job