Calculus I (MATH 101)

Functions, limits, differentiation, applications of differentiation, and drawing curves.

Total Lessonses 48 Total hours : 26:27:13 Duration Of Course 17 weeks
  • About the Course :

    This course covers the differentiation and integration of functions, including limits and continuity and their applications, maximizations, rate of change, and graphing functions.



  • You Will Learn :

    Functions and Function Operations, Composite Functions and Inverse Functions, Trigonometric Functions and Inverse of Trigonometric Functions, Intermediate Value Theorem, Trigonometric Functions and their Inverse, Introduction to Limits, Definition of the Limit, Calculating Limits and The Limits Laws, ‏Limits of Trigonometry Functions, Limits at Infinity, Vertical and Horizontal Asymptotes, Continuous and Discontinuous Functions and Theorems of Continuity, Derivatives and Rate of Change, The Derivative as a Function, Differentiation Formulas, Derivative of Polynomials, The Product and Quotient Rules, Derivatives of Trigonometric Functions, The Chain Rule, Implicit Differentiation, Derivative of Natural Exponents, Derivatives of Logarithmic Functions, Derivatives of Inverse Functions, Related Rates, Maximum and Minimum Values and Extrema Values, The Mean Value Theorem, Concavity, Curve Sketching, Second Ordered Derivatives and Functions Graph, Indeterminate Forms and L’Hopital’s Rule, Optimization.



  • Target Group :

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



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Total Lessonses 48 Total Hours 26:27:13 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
Function s and Function Operations
5 Lessons 2:24:07
Functions
0:33:44
Show
Recorded Session
Functions Operations
0:18:43
Closed
Recorded Session
Exponential Functions part 1
0:32:33
Closed
Recorded Session
Exponential Functions Part 2
0:28:30
Closed
Recorded Session
Functions and Their Graphs
0:30:37
Closed
Recorded Session
Composite Functions and Inverse 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
Trigonometric Functions and Inverse of 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
Recorded Session
Intermediate Value Theorem
1 Lessons 0:18:30
‏Intermediate Value Theorem
0:18:30
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
Definition of The Limit
1 Lessons 0:19:49
Definition of Limits
0:19:49
Closed
Recorded Session
Calculating Limits and The 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
‏Limits of Trigonometry Functions
1 Lessons 0:16:43
Limits of Trigonometry Functions
0:16:43
Closed
Recorded Session
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
Recorded Session
Continuous and Discontinuous Functions and Theorems of Continuity
2 Lessons 1:08:31
Continuity part 1
0:31:37
Closed
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Continuity Part 2
0:36:54
Closed
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Derivatives and Rate 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
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Differentiation Formulas
2 Lessons 1:00:24
Differentiation Formulas Part 1
0:36:26
Closed
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Differentiation Formulas Part 2
0:23:58
Closed
Recorded Session
Derivative 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 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
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Implicit Differentiation
1 Lessons 0:35:04
Implicit Differentiation
0:35:04
Closed
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Derivative of Natural Exponents
1 Lessons 0:14:53
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
Derivatives of Logarithmic Functions
1 Lessons 0:13:57
Derivative of Natural Logarithms
0:13:57
Closed
Recorded Session
Derivatives of Inverse Functions
1 Lessons 0:34:11
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
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
Maximum and Minimum Values and Extrema Values
2 Lessons 0:59:51
Minimum and Maximun Values part 1
0:28:42
Closed
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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
1 Lessons 0:45:26
Summary of Curve Sketching
0:45:26
Closed
Recorded Session
Second Ordered Derivatives and Functions Graph
2 Lessons 1:09:53
Second Ordered Derivatives and Functions Graph part 1
0:31:14
Closed
Recorded Session
Second Ordered Derivatives and Functions Graph part 2
0:37:39
Closed
Recorded Session
Indeterminate Forms and L’Hopital’s Rule
1 Lessons 0:24:17
Indeterminate Forms & L'Hopital's Rule
0:24:17
Closed
Recorded Session
Optimization Problems
1 Lessons 0:19:51
Optimization Problems
0:19:51
Closed
Recorded Session
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job