Calculus I (MATH 101)

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

Total Lessonses 55 Total hours : 28:36:28 Duration Of Course 17 weeks
  • About the Course :

    Real numbers—inequalities absolute value Cartesian coordinates in the plane: straight lines functions, inverse functions, trigonometric functions, inverse trigonometric functions, exponential functions, logarithm functions, differentiation, differentiation rules, derivatives of trigonometric functions, derivatives of inverse trigonometric functions, derivatives of exponential functions, derivatives of logarithm functions, chain rule, implicit differentiation, absolute maximum values; absolute minimum values, mean-value theorem; monotonic functions; local maximum and minimum values, concavity, and inflection point.



  • You Will Learn :

    Real Numbers and The Real Line, Intervals, Inequalities, Absolute Value, Distances, Equations of Lines, Graphs of Quadratic Equations, Functions and their Graphs, Combining Functions to Make New Functions, The Trigonometric Functions, Inverse Functions, Exponential and Logarithmic Functions, Limits of Functions, Definition of Limits, One-Sided Limits, Rules for Calculating Limits, The Squeeze Theorem, Limits at Infinity, Infinite Limits, Continuity at a Point, Continuity on an Interval, Continuous Extensions and Removable Discontinuities, The Tangent Lines and their Slopes, The Derivative” Definition of Derivatives “, Some Important Derivatives, Differentiation Rules, The Chain Rule, Derivatives of Trigonometric Functions, Higher-Order Derivatives, Implicit Differentiation, Logarithm and its Derivative, Exponential its Derivative, The Mean-Value Theorem, Increasing and Decreasing Functions, Extreme Values, Concavity and Inflections, and Curve Sketching.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 101
    * University Name : University of Jeddah



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Total Lessonses 55 Total Hours 28:36:28 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
Real Numbers and The Real Line and Intervals
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
Inequalities
2 Lessons 0:43:57
Linear Inequality
0:24:38
Closed
Recorded Session
Quadratic and Rational Inequality
0:19:19
Closed
Recorded Session
Absolute Value
1 Lessons 0:36:47
Absolute Value
0:36:47
Closed
Recorded Session
Distances
1 Lessons 0:13:49
‏Distance Formula
0:13:49
Closed
Recorded Session
Equations of lines
1 Lessons 0:14:43
Line Equatons
0:14:43
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
Even and Odd Functions
1 Lessons 0:13:57
‏Even and Odd Functions
0:13:57
Closed
Recorded Session
Composite of Functions
2 Lessons 1:03:58
New Functions from old functions part 1
0:29:49
Closed
Recorded Session
New Functions from Old Functions part 2
0:34:09
Closed
Recorded Session
Functions and Their Graphs
1 Lessons 0:30:37
Functions and Their Graphs
0:30:37
Closed
Recorded Session
The Trigonometric Functions
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
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Inverse Functions
1 Lessons 0:16:13
Inverse Functions
0:16:13
Closed
Recorded Session
Exponential and Logarithmic 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
Introduction 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
Recorded Session
Definition of Limits
1 Lessons 0:19:49
Definition of Limits
0:19:49
Closed
Recorded Session
Limits Laws
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
The Squeeze Theorem Limits and One-Sided Limits
1 Lessons 0:08:12
‏the Squeeze Theore
0:08:12
Closed
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Limits at 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
Recorded Session
Continuity at a Point and Interval
2 Lessons 1:08:31
Continuity part 1
0:31:37
Closed
Recorded Session
Continuity Part 2
0:36:54
Closed
Recorded Session
Derivatives 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
Derivatives of Functions
1 Lessons 0:27:50
The Derivative As a Function
0:27:50
Closed
Recorded Session
Rule of Derivatives
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 Logarithms Functions
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 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 0:38:29
The Chain Rule
0:38:29
Closed
Recorded Session
Implicit Derivatives
1 Lessons 0:35:04
Implicate Derivatives
0:35:04
Closed
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Higher Derivatives
1 Lessons 0:08:18
Higher Derivatives
0:08:18
Closed
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Application of Derivatives (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
Extreme 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
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
0:10:20
Closed
Recorded Session
Curve Sketching
1 Lessons 0:45:26
Summary of Curve Sketching
0:45:26
Closed
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Optimization
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