Calculus I (MATH 221)

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

Total Lessonses 41 Total hours : 22:37:45 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 :

    Real Numbers and Inequalities, Functions and Functions Operations, Inverse Functions, Trigonometry Functions and Inverse of Trigonometry Functions, Introduction to Limits, Definition of Limits, Limits Laws, Limits Involving Infinity, Asymptotes, Continuity, Tangent Line and Rates of Change, Techniques of Differentiation and Parametric Differentiations, Derivatives of polynomials and Exponential Functions, The Product and Quotient Rules, Derivatives of Exponential Functions, Derivatives of Logarithms Functions, Derivatives of Inverse Trigonometric Functions, Derivatives of Trigonometry Functions, Hyperbolic Functions, The Chain Rule, Implicit Differentiation, Higher Derivatives, L-Hospital’s Rule, Maximum and Minimum Values and Increasing and Decreasing Functions, Mean Value Theorem and Rolls Theorems, Concavity and Second Derivatives Test.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 221
    * University Name : University of Bisha



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Total Lessonses 41 Total Hours 22:37:45 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 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
Functions and Functions Operations
2 Lessons 0:52:27
Functions
0:33:44
Closed
Recorded Session
Function Operation
0:18:43
Closed
Recorded Session
Inverse Functions
1 Lessons 0:16:13
Inverse Functions
0:16:13
Closed
Recorded Session
Trigomometric 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
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 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
Limits Involving Infinity
1 Lessons 0:31:23
Limits Involving Infinity
0:31:23
Closed
Recorded Session
Asymptotes
1 Lessons 0:32:05
Limits at Infinity (Horizontal Asymptotes)
0:32:05
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
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
Techniques of Differentiation and Parametric Differentiations
3 Lessons 1:28:14
The Derivative As a Function
0:27:50
Closed
Recorded Session
Differentiation Formulas Part 1
0:36:26
Closed
Recorded Session
Differentiation Formulas Part 2
0:23:58
Closed
Recorded Session
Deivatives 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 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 Inverse Trigonometric Functions
1 Lessons 0:34:11
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
Recorded Session
Derivatives of Trigonometry Functions
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
Closed
Recorded Session
Hyperbolic Functions
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
Closed
Recorded Session
The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
Recorded Session
Implicit Differentiation
1 Lessons 0:35:04
Implicit Differentiation
0:35:04
Closed
Recorded Session
Higher Derivatives
1 Lessons 0:08:18
Higher Derivatives
0:08:18
Closed
Recorded Session
L-Hospitals Rule
1 Lessons 0:24:17
Indeterminate Forms & L'Hopital's Rule
0:24:17
Closed
Recorded Session
1) Maximum and Minimum 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
Mean Value Theorem and Rolls Theorems
1 Lessons 0:21:34
The Mean Value Theorem
0:21:34
Closed
Recorded Session
Concavity and Second Derivatives Test
1 Lessons 0:10:20
Concavity & Inflection points
0:10:20
Closed
Recorded Session
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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job