Calculus I (MATH 101)

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

Total Lessonses 54 Total hours : 27:55:58 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, the L-Hospital's rule, indeterminate forms, Rolle's theorems, and the mean value theorem.



  • You Will Learn :

    Sets of Numbers, Linear Inequalities with Absolute Value, Quadratic and Rational Inequalities, Functions, Composition of Functions and Inverse Functions, Trigonometric Functions Using the Unit Circle, Inverse of Tangent Function, The Concept of Limit, Limits Laws, Sandwich Theorem and Trigonometric Functions Limits, Limits at Infinity and Horizontal Asymptote, Continuity, Tangent Line and Rates of Change, Definition of Differentiation, Differentiation Rules, The Product and Quotient Rules, Derivatives of Exponential and Logarithms Functions, Derivatives of Trigonometry Functions, Derivatives of Inverse Trigonometric Functions, Derivatives of Hyperbolic Functions, The Chain Rule, Implicit Differentiation, Maximum and Minimum Values, Increasing and Decreasing Functions, Concavity and Second Derivatives Test, L’Hospital’s Rule, Mean Value Theorem, Rolle’s Theorems, Functions Graphs, Optimization Problems, and Rate of Change Problems.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 101
    * University Name : Dar Al Uloom University



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Total Lessonses 54 Total Hours 27:55:58 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
Sets of Numbers and Inequalities
3 Lessons 1:12:14
Sets of Numbers and Inequalities Part1
0:24:14
Show
Recorded Session
Sets of Numbers and Inequalities Part 2
0:27:12
Closed
Recorded Session
Sets of Numbers and Inequalities Part 3
0:20:48
Closed
Recorded Session
Quadratic and Rational Inequalities
1 Lessons 0:19:19
Quadratic and Rational Inequality
0:19:19
Closed
Recorded Session
Functions and Function Operations
2 Lessons 0:52:27
Functions
0:33:44
Closed
Recorded Session
Functions Operations
0:18:43
Closed
Recorded Session
Composition of 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 Using The Unit Circle
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
0:49:29
Closed
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Trigomometric Functions and Their Inverse Part 3
0:27:19
Closed
Recorded Session
Inverse of Tangent Function
1 Lessons 0:16:13
Inverse Functions
0:16:13
Closed
Recorded Session
Inverse Functions and Logarithms
1 Lessons 0:42:18
Inverse Functions and Logarithms
0:42:18
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
Recorded Session
The concept of Limit
1 Lessons 0:19:49
Definition of Limits
0:19:49
Closed
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Limits Laws
3 Lessons 1:39:52
Limits Laws Part 1
0:36:19
Closed
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Limits Laws Part 2
0:36:20
Closed
Recorded Session
Limits Using The Limits Laws
0:27:13
Closed
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‏Limits of Trigonometry Functions
1 Lessons 0:16:43
Limits of Trigonometry Functions
0:16:43
Closed
Recorded Session
Sandwich Theorem and Trigonometric Functions Limits
1 Lessons 0:08:12
Squeeze Theorem
0:08:12
Closed
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Limits at Infinity
1 Lessons 0:31:23
Limits Involving Infinity
0:31:23
Closed
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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
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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
Definition of Differentiation
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
Recorded Session
Differentiation Formulas Part 2
0:23:58
Closed
Recorded Session
Deivatives of polynomials
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 Quotient Rules
0:42:20
Closed
Recorded Session
Derivatives of Exponential
1 Lessons 0:14:53
Derivative of Natural Exponents
0:13:57
Closed
Recorded Session
Derivative of Natural Logarithms
1 Lessons 0:13:57
Derivative of Natural Logarithms
0:13:57
Closed
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Derivatives of Trigonometry Functions
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
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
Hyperbolic Functions and Derivatives
2 Lessons 0:34:33
Hyperbolic Functions
0:26:24
Closed
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‏Inverse Hyperbolic Functions
0:08:08
Closed
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Higher Derivatives
1 Lessons 0:08:18
Higher Derivatives
0:08:18
Closed
Recorded Session
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
Implicit Differentiation
0:35:04
Closed
Recorded Session
Maximum and Minimum 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
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 & Inflection points
0:10:20
Closed
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Second Ordered Derivatives and Functions Graphs
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
Functions Graphs
1 Lessons 0:45:26
Summary of Curve Sketching
0:45:26
Closed
Recorded Session
LHopitals Rule
1 Lessons 0:24:17
Indeterminate Forms & L'Hopital's Rule
0:24:17
Closed
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Optimization Problems
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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مجموعة المستقبل للتعليم

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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job