Calculus I (MATH 110)

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

Total Lessonses 53 Total hours : 28:05:73 Duration Of Course 17 weeks
  • About the Course :

    This course will cover the following topics: real numbers and line equations, circles and conic sections, functions and composite functions, trigonometry functions, asymptotes of functions, understanding of limits and continuity of functions, the meaning of derivatives of a function in terms of rate of change, differentiation rules, local linear approximation for functions, and using derivatives to solve a variety of derivatives with one variable. This course also includes the fundamental theorem of calculus, the application of the derivation of derivatives, sketching the graphs, and lastly, the rate of change.




  • You Will Learn :

    Rael Numbers, Lines and Line Equations, Functions, Composite of Functions, Trigonometric Functions, Circle and Conic Section Functions, Parabola, Ellipse, Hyperbola, Limits of Functions, Limits Law, Definition of Limits, Continuity, Definition of Derivatives, Tangent Line Equations, Derivatives Rules, Derivatives of Multiplications and Division, Derivative of Trigonometry Functions, Chain Rule and Implicit Differentiation, Extrema Value, Intermediate Value Theorem, Increasing Decreasing Functions, Concavity, Graphs of Functions, and Rate of Change and Application of Extrema Values.




  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 110
    * University Name : King Abdulaziz University




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Total Lessonses 53 Total Hours 28:05:73 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
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
Lines and Line Equations
2 Lessons 0:36:11
Line Equatons
0:14:43
Closed
Recorded Session
Linear Equations in One Variable
0:21:28
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
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
Functions and Their Graphs
1 Lessons 0:30:37
Functions and Their Graphs
0:30:37
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
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
Circles
1 Lessons 0:19:35
Circles
0:19:35
Closed
Recorded Session
Parabola
1 Lessons 0:10:08
Parabola
0:10:08
Closed
Recorded Session
Ellipse
1 Lessons 0:22:07
Ellipse
0:22:07
Closed
Recorded Session
Hyperbolas
1 Lessons 0:11:40
Hyperbolas
0:11:40
Closed
Recorded Session
Limits of Functions
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 Law
3 Lessons 1:39:52
Limit Laws Part 1
0:36:19
Closed
Recorded Session
Limit Laws Part 2
0:36:20
Closed
Recorded Session
Limits Using The Limits Laws
0:27:14
Closed
Recorded Session
Limits Involving 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
Continuity
2 Lessons 1:08:31
Continuity part 1
0:31:37
Closed
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Continuity Part 2
0:36:54
Closed
Recorded Session
Definition of Derivatives
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
Tangent Line Equations
1 Lessons 0:27:50
The Derivative As a Function
0:27:50
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 Rules
1 Lessons 0:16:54
Deivatives of polynomials
0:16:54
Closed
Recorded Session
Derivatives of Multiplications and Division
1 Lessons 0:42:20
The product and Qutient Rules
0:42:20
Closed
Recorded Session
Derivative of Natural Exponents
1 Lessons 0:14:35
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
Derivative of Natural Logarithms
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
The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
Recorded Session
Implicate Derivatives
1 Lessons 0:35:04
Implicate Derivatives
0:35:05
Closed
Recorded Session
Extrema Values and Increasing and Decreasing Functions
2 Lessons 0:59:51
Minimum and Maximun Values part 1
0:28:43
Closed
Recorded Session
Minimum and Maximun Values part 2
0:31:10
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
Graphs of Functions
3 Lessons 1:55:19
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
Summary of Curve Sketching
0:45:26
Closed
Recorded Session
Rate of change
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
Optimization
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