Calculus I (MATH 111)

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

Total Lessonses 41 Total hours : 22:34:13 Duration Of Course 17 weeks
  • About the Course :

    This course is designed to develop the topics of differential calculus. Emphasis is placed on limits, continuity, derivatives of algebraic and transcendental functions of one variable. The goal of this course is to develop the student’s geometric insight into the concepts of differentiation and apply these concepts to problem-solving and “real-world application”.



  • You Will Learn :

    Four Ways to Represent a Function, Mathematical Models: A Catalog of Essential Functions, New Functions from Old Functions, Exponential Functions, Inverse Functions and Logarithms, The Limit of a Function, Calculating Limits Using the Limit Laws, Continuity, Limits at Infinity; Horizontal Asymptotes, Derivatives and Rate of Change, The Derivative as a Function, Derivative of Polynomials and Exponential Functions, The Product and Quotient Rules, Derivatives of Trigonometric Functions, The Chain Rule, Implicit Differentiation, Derivatives of Logarithmic Functions, Related Rates, Hyperbolic Functions, Maximum and Minimum Values, The Mean Value Theorem, How Derivatives Affect the Shape of a Graph, Indeterminate Forms and L’Hopital’s Rule, Summary of Curve Sketching, and Optimization.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 111
    * University Name : Prince Sultan University



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Total Lessonses 41 Total Hours 22:34:13 Duration Of Course 17 weeks
Four Ways to Represent a Function
6 Lessons 1:45:58
Set of Numbers part 1
0:24:14
Show
Recorded Session
Set of Numbers part 2
0:27:12
Show
Recorded Session
Set of Numbers part 3
0:20:48
Show
Recorded Session
Functions
0:33:44
Closed
Recorded Session
Mathematical Models A Catalog of Essential Functions
1 Lessons 0:18:43
Function Operation
0:18:43
Closed
Recorded Session
New Functions from Old Functions
1 Lessons 0:30:37
Functions and Their Graphs
0:30:37
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 and Logarithms
1 Lessons 0:16:13
Inverse Functions
0:16:13
Closed
Recorded Session
The Limit of a Function
2 Lessons 1:01:49
Introduction to Limits Part 1
0:30:37
Closed
Recorded Session
Introduction to Limits Part 2
0:31:13
Closed
Recorded Session
Definition of limits
1 Lessons 0:19:49
Definition of Limits
0:19:48
Closed
Recorded Session
Calculating Limits using the Limit Laws
3 Lessons 1:39:53
Limit Laws Part 1
0:36:19
Closed
Recorded Session
Limit Laws Part 2
0:36:19
Closed
Recorded Session
Limits Using The Limits Laws
0:27:13
Closed
Recorded Session
Limits at Infinity; Horizontal Asymptotes
2 Lessons 1:03:58
Limits Involving Infinity
0:31:23
Closed
Recorded Session
Limits at Infinity (Horizontal Asymptotes)
0:32:04
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
Derivatives and Rate of Change
4 Lessons 2:19:15
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 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
Recorded Session
Derivative 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 Trigonometric Functions
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
Closed
Recorded Session
The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
Recorded Session
Implicit Differentiation
1 Lessons 0:35:05
Implicate Derivatives
0:35:04
Closed
Recorded Session
Derivatives of Logarithmic Functions
1 Lessons 0:13:37
Derivative of Natural logarithms
0:13:57
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
Hyperbolic Functions
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Maximum and Minimum Values
2 Lessons 0:59:53
Minimum and Maximum Values part 1
0:28:42
Closed
Recorded Session
Minimum and Maximum values part 2
0:31:09
Closed
Recorded Session
The Mean Value Theorem
1 Lessons 0:21:34
The Mean Value Theorem
0:21:33
Closed
Recorded Session
How Derivatives affect the Shape of a Graph
2 Lessons 1:09:53
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
Indeterminate Forms and L’Hopital’s Rule
1 Lessons 0:24:17
Indeterminate Forms and Hospital Rule
0:24:17
Closed
Recorded Session
Summary of Curve Sketching
1 Lessons 0:45:26
Summary of Curve Sketching
0:45:24
Closed
Recorded Session
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