Calculus I (MTH 1400)

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

Total Lessonses 58 Total hours : 33:07:85 Duration Of Course 17 weeks
  • About the Course :

    This course will highlight the importance of differentiation and integration for science and engineering and the relationship between them. Presentation of the basic rules of differentiation and integration and their applications. Accustom the student to logical reasoning and acquire the skills needed to solve the issues.



  • You Will Learn :

    Real Numbers, Exponents and Radicals, Polynomials, Basic Operations and Factoring, Solving Equations, Rational Expressions, Basic Operations, Inequalities, Absolute Values, Definition of Functions (Domain and Range), Graphs of Functions, Trigonometric Functions and Identities, Introduction to Limits, Theorems on Limits, Limit from Right and from Left, Definition of Continuity, Definition of Derivative (Using Limits), Rules and Theorems for Finding Derivatives, Derivative of Trigonometric Functions, Chain Rule, Higher Order Derivatives, Implicit Differentiation, Maxima and Minimum, Local Maxima and Minimum, Concavity, Sketching the Graphs, Integration of Functions, and Definite Integrals.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MTH 1400
    * University Name : Umm Al-Qura University



  • Suggested courses:

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Total Lessonses 58 Total Hours 33:07:85 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
Exponents and Radicals
3 Lessons 1:43:21
Exponential Functions part 1
0:32:33
Closed
Recorded Session
Exponential Functions Part 2
0:28:30
Closed
Recorded Session
Inverse Functions and Logarithms
0:42:18
Closed
Recorded Session
Polynomial Functions and Operations of Factoring
2 Lessons 0:34:56
Functions Operations
0:18:43
Closed
Recorded Session
Inverse Functions
0:16:13
Closed
Recorded Session
Functions
1 Lessons 0:33:44
Functions
0:33:44
Closed
Recorded Session
Graphs of Functions
1 Lessons 0:30:37
Functions and Their Graphs
0:30:37
Closed
Recorded Session
Trigonometric Functions and Identities
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
Theorems on limits
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
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Limits Involving Infinity
1 Lessons 0:31:32
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
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Definition 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
Definition of Derivative (Using Limits)
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
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 Qutient 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
Derivative of Natural Exponents and Logarithms
2 Lessons 0:28:50
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
Derivative of Natural Logarithms
0:13:57
Closed
Recorded Session
Derivatives for Logrithmic and Inverse Trigonometric Functions
1 Lessons 0:34:11
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
Recorded Session
Higher Ordered Derivatives
1 Lessons 0:08:18
Higher Derivatives
0:08:18
Closed
Recorded Session
The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
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Implicit Differentiations
1 Lessons 0:35:04
Implicate Derivatives
0:35:05
Closed
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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
Maxima and Minimum
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
Sketching the Graphs
1 Lessons 0:45:26
Summary of Curve Sketching
0:45:26
Closed
Recorded Session
Antiderivatives and Infinite Integrals
1 Lessons 0:29:25
Antiderivatives and Indefinite Integrals
0:29:25
Closed
Recorded Session
Integration of Functions and Indefinite Integrals
5 Lessons 3:39:24
Integrals
1:22:52
Closed
Recorded Session
Indefinite Integrals part1
0:21:07
Closed
Recorded Session
Indefinite Integrals part 2
0:29:54
Closed
Recorded Session
Indefinite Integrals part 3
0:14:01
Closed
Recorded Session
Indefinite Integratioon and the NET ChangeTheorem
1:11:30
Closed
Recorded Session
Definite Integrals and Numerical Integrals
2 Lessons 0:44:27
Numerical Integrals
0:21:27
Closed
Recorded Session
Definite Integrals and _Mean Value Theorem of Integration
0:23:00
Closed
Recorded Session
Hospital Rule
1 Lessons 0:24:17
Indeterminate Forms and Hospital Rule
0:24:17
Closed
Recorded Session
Optimization Problems
1 Lessons 0:19:51
Optimization Problems
0:19:51
Closed
Recorded Session
Related Rates
2 Lessons 1:13:20
Related Rate part 1
0:31:34
Closed
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Related Rate part 2
0:41:46
Closed
Recorded Session
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مجموعة المستقبل للتعليم

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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job