Calculus I (MATH 101)

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

Total Lessonses 53 Total hours : 29:10:78 Duration Of Course 17 weeks
  • About the Course :

    This course is a first in calculus, dealing mainly with differential calculus. After a discussion of a few mathematical preliminaries, we introduce fundamental functions (polynomials, power, trigonometric, logarithmic, exponential, and hyperbolic functions), limits, continuity, derivatives, differentiation rules, and finally applications of differentiation (monotonicity, concavity, extrema, sketching the plane curves, Taylor and Maclaurin polynomials).




  • You Will Learn :

    Functions, Solving Linear Equations, Solving Linear Inequalities, Absolute Value, Inverse Functions, Trigonometry Functions and their Inverse, Definition of Limits, Limits Rules, Limits of Trigonometry Functions, Continuity of Functions, The Derivative and Tangent Line problems, Differentiation Rules, Derivatives of Trigonometric Functions, The Chain Rule, Implicit Differentiation, Higher Order Derivatives, The Derivatives of Inverse Functions, Related Rates, Extrema of Functions, The Mean Value Theorem, Increasing and Decreasing Functions, Concavity, Curve Sketching, and Optimization Problems.




  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 101
    * University Name : Northern Border University




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Total Lessonses 53 Total Hours 29:10:78 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
Solving Linear 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
Absolute Value
1 Lessons 0:36:47
Absolute Value
0:36:47
Closed
Recorded Session
Solving Linear Equations
1 Lessons 0:21:28
Linear Equations in One Variable
0:21:28
Closed
Recorded Session
Functions
1 Lessons 0:33:44
Functions
0:33:44
Closed
Recorded Session
Functions Operations
1 Lessons 0:18:43
Functions Operations
0:18:43
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
Trigonometry Functions and Their Inverse
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
Inverse Functions
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
Functions and Their Graphs
1 Lessons 0:30:37
Functions and Their Graphs
0:30:37
Closed
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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
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Definition of Limits
1 Lessons 0:19:49
Definition of Limits
0:19:49
Closed
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Limits Rules
3 Lessons 1:39:52
Limits Laws Part 1
0:36:19
Closed
Recorded Session
Limits Laws Part 2
0:36:20
Closed
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Limits Using The Limits Laws
0:27:13
Closed
Recorded Session
Limits of Trigonometry Functions
1 Lessons 0:16:43
‏Limits of Trigonometry Functions
0:16:43
Closed
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Limits Involving 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 For Graphing Functions (Horizontal Asymptotes)
0:32:05
Closed
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Continuity of Functions
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
The Derivative and Tangent Line problems
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
The Derivative As a Function
1 Lessons 0:27:50
The Derivative As a Function
0:27:50
Closed
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Deivatives of polynomials and Exponential Functions
1 Lessons 0:16:54
Derivatives of polynomials and Exponential Functions
0:16:54
Closed
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Differentiation 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
Recorded Session
Higher Order Derivatives
1 Lessons 0:08:18
Higher Derivatives
0:08:18
Closed
Recorded Session
The Derivatives of Inverse Functions
1 Lessons 0:34:11
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
Recorded Session
Derivative of Natural Exponents and Logarithms Functions
2 Lessons 0:28:50
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
Derivative of Natural Logarithms
0:13:57
Closed
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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
Implicate Derivatives
0:35:04
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
Indeterminate Forms and Hospital Rule
1 Lessons 0:24:17
Indeterminate Forms & L'Hopital's Rule
0:24:17
Closed
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Extrema of Functions 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
The Mean Value Theorem
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
Curve Sketching
3 Lessons 1:55:19
How Derivatives Affect the Shape of a Graph Part 1
0:32:14
Closed
Recorded Session
How Derivatives Affect the Shape of a Graph Part 2
0:37:39
Closed
Recorded Session
Summary of Curve Sketching
0:45:26
Closed
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Optimization problems
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