Calculus I (MATH 110)

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

Total Lessonses 47 Total hours : 24:43:50 Duration Of Course 17 weeks
  • About the Course :

    This course covers several techniques in calculus (trigonometric functions and their inverse, hyperbolic functions and their inverse), the concept of limits, computation of limits, limits involving infinity, asymptotes, 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, maximum and minimum values, increasing and decreasing functions, concavity and second derivatives tests, L-Hospital’s rule, indeterminate forms, Rolle’s theorem, mean value theorems, and Maclurin and Taylor theorems.



  • You Will Learn :

    Trigonometric Function, Inverse of Trigonometric Function, Hyperbolic Functions, Inverse of Hyperbolic Functions, 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, Maximum and Minimum Values, Increasing and Decreasing Functions, Concavity and Second Derivatives Test, L’Hospital’s Rule, Indeterminate Forms, Rolle’s Theorems, Mean Value Theorem, Maclurin and Taylor Theorem, Optimization, and Related Rate.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 110
    * University Name : University of Jeddah



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Total Lessonses 47 Total Hours 24:43:50 Duration Of Course 17 weeks
Functions
1 Lessons 0:33:44
Functions
0:33:44
Show
Recorded Session
Functions Operations
1 Lessons 0:18:43
Functions Operations
0:18:43
Show
Recorded Session
Trigonometric and Inverse of Trigonometric Function
3 Lessons 1:17:23
Trigomometric Functions and Their Inverse Part 1
0:25:35
Show
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
Hyperbolic Functions and Its Inverse
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
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
Inverse Functions
1 Lessons 0:16:13
Inverse Functions
0:16:13
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
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Definition of Limits
1 Lessons 0:19:49
Definition of Limits
0:19:49
Closed
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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
0:27:13
Closed
Recorded Session
Limits Involving Infinity
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
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Continuity
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
The Derivative As a Function
1 Lessons 0:27:50
The Derivative As a Function
0:27:50
Closed
Recorded Session
Techniques of Differentiation
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
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
Derivative of Natural Logarithms
1 Lessons 0:13:57
Derivative of Natural Logarithms
0:13:57
Closed
Recorded Session
Derivatives of Trigonometry Functions
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
Closed
Recorded Session
Derivatives for Logrithmic and Inverse Trigonometric Functions
1 Lessons 0:34:11
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
Recorded Session
Hyperbolic Functions
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Higher Derivatives
1 Lessons 0:08:18
Higher Derivatives
0:08:18
Closed
Recorded Session
The Chain Rule and Parametric Differentiations
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
Recorded Session
Implicit Derivatives
1 Lessons 0:35:04
Implicate Derivatives
0:35:04
Closed
Recorded Session
Maximum and Minimum Values and Increasing and Decreasing Functions
2 Lessons 0:59:51
Minimum and Maximun Values part 1
0:28:42
Closed
Recorded Session
Minimum and Maximun Values part 2
0:31:09
Closed
Recorded Session
Mean 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
0:10:20
Closed
Recorded Session
Second Ordered Derivatives Test 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
Curve Sketching
1 Lessons 0:45:26
Summary of Curve Sketching
0:45:26
Closed
Recorded Session
L-Hospitals Rule and Indeterminate forms
1 Lessons 0:24:17
Indeterminate Forms & 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
Optimization
1 Lessons 0:19:51
Optimization Problems
0:19:51
Closed
Recorded Session
Related Rates
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
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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job