Calculus I (MATH 101)

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

Total Lessonses 34 Total hours : 18:18:97 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, 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, 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, Maclurin and Taylor theorem.



  • You Will Learn :

    Trigonometric Function, Inverse of Trigonometric Function, Hyperbolic Functions, Inverse of Hyperbolic Functions, Computation of Limits, Limits Involving Infinity, Asymptotes, 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, and Maclurin and Taylor Theorem.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 101
    * University Name : Princess Nourah Bint Abdulrahman University



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Total Lessonses 34 Total Hours 18:18:97 Duration Of Course 17 weeks
Trigonometric Function and Inverse of Trigonometric Function
3 Lessons 1:17:22
Trigomometric Functions and Their Inverse Part 1
0:25:35
Show
Recorded Session
Trigomometric Functions and Their Inverse Part 2
0:24:29
Show
Recorded Session
Trigomometric Functions and Their Inverse Part 3
0:27:19
Show
Recorded Session
Hyperbolic Functions and Inverse of Hyperbolic Functions
2 Lessons 0:34:33
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Inverse Hyperbolic Functions
0:08:08
Closed
Recorded Session
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
Limit Laws Part 1
0:36:19
Closed
Recorded Session
Limit Laws Part 2
0:36:20
Closed
Recorded Session
Limits Using The Limits Laws
0:27:14
Closed
Recorded Session
Limits Involving Infinity
1 Lessons 0:31:32
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
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
Derivatives 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 Trigonometry Functions
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
Closed
Recorded Session
Derivatives of Exponential Functions
1 Lessons 0:14:53
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
Derivatives of Logarithms Functions
1 Lessons 0:13:57
Derivative of Natural Logarithms
0:13:57
Closed
Recorded Session
Derivatives of Inverse Trigonometric Functions
1 Lessons 0:34:11
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
Recorded Session
The Chain Rule
1 Lessons 0:38:39
The Chain Rule
0:38:29
Closed
Recorded Session
Implicit Differentiations
1 Lessons 0:35:05
Implicate Derivatives
0:35:04
Closed
Recorded Session
Higher Derivatives
1 Lessons 0:08:18
Higher Derivatives
0:08:18
Closed
Recorded Session
Parametric Differentiations
1 Lessons 0:35:40
Parametric Equations
0:35:40
Closed
Recorded Session
Indeterminate forms and L-Hospitals 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
0:28:42
Closed
Recorded Session
Minimum and Maximun Values part 2
0:31:09
Closed
Recorded Session
Mean Value Theorem and Rolls Theorems
1 Lessons 0:21:33
The Mean Value Theorem
0:21:33
Closed
Recorded Session
Concavity and Second Derivatives Test
1 Lessons 0:10:20
Concavity & Inflection points
0:10:20
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