(MATH 3111) Calculus I

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

Total Lessonses 34 Total hours : 19:31:30 Duration Of Course 17 weeks
  • About the Course :

    This course will discuss some important subjects of calculus, which are: the introduction of real numbers and their properties; solving linear equations and inequality with one variable; solving absolute values inequalities and functions operations; composite functions; even and odd functions and inverse functions; limits of functions and continuity; derivatives and rules of derivatives; chain rule and higher derivatives; derivatives of exponents and logarithms; rate of change; integration rules, and areas.



  • You Will Learn :

    Introduction to Limits, Definition of the Limit, Calculating Limits and the Limits Laws, Limits at Infinity, Vertical and Horizontal Asymptotes, Continuous and Discontinuous Functions and Theorems of Continuity, Derivatives and Rates of Change, Differentiation Formulas, The Derivative as a Function, Derivatives of Polynomials, The Product and Quotient Rules, Derivatives of Trigonometric Function, Exponential Function, Derivatives of Logarithmic Functions, The Chain Rule, Implicit Differentiation, Hyperbolic Function, Maximum and Minimum Values, Indeterminate Forms The Mean Value Theorem, Concavity, Graph Sketching, Second Ordered Derivatives and Functions Graph, L’Hospital’s Rule, Taylor and Maclaurin Expansions.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 3111
    * University Name : Islamic University of Madinah



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Total Lessonses 34 Total Hours 19:31:30 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
Introduction to Limits
2 Lessons 1:01:49
Introduction to Limits Part 1
0:30:35
Show
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
0:27:14
Closed
Recorded Session
Limits at Infinity
1 Lessons 0:31:23
Limits Involving Infinity
0:31:23
Closed
Recorded Session
Vertical and 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
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
The Derivative As a Function
1 Lessons 0:27:50
The Derivative As a Function
0:27:50
Closed
Recorded Session
Derivatives 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 Function
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
Closed
Recorded Session
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
The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
Recorded Session
Implicit Differentiation
1 Lessons 0:35:04
Implicate Derivatives
0:35:04
Closed
Recorded Session
Hyperbolic Function
1 Lessons 0:26:25
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Maximum and Minimum Values
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
Indeterminate Forms 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
Graph 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
0:32:14
Closed
Recorded Session
Second Ordered Derivatives and Functions Graph part 2
0:37:39
Closed
Recorded Session
L’Hospital’s Rule
1 Lessons 0:24:17
Indeterminate Forms & L'Hopital's Rule
0:24:17
Closed
Recorded Session
Taylor and Maclaurin Expansions
1 Lessons 0:13:46
‏ Taylor Series
0:13:46
Closed
Recorded Session
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job