Introduction to Calculus (MATH 101)

This course covers algebra, including real numbers, algebraic operations, equations, inequalities, complex numbers, functions, matrices, determinants, and straight lines.

Total Lessonses 40 Total hours : 20:45:45 Duration Of Course 17 weeks
  • About the Course :

    This course is designed to cover various topics in Algebra. It includes pre-algebra topics such as Arithmetic, Fractions, and word problems, as needed. The course will also cover Sets and Real Numbers, Exponents and Radicals, Rational Expressions, Linear Equations, and Linear Inequalities in one variable. Equations and Inequalities involving Absolute Value, Quadratic Equations, Functions and Graphs, Polynomials and Rational Functions, Combining Functions, Logarithmic Functions and Exponential Functions, Trigonometric Functions, Matrices and Determinants, Solving Systems of Linear Equations, Arithmetic Sequences and Series, and Geometric Sequences and Series will also be covered.




  • You Will Learn :

    Operation on Functions, Trigonometric Functions, Introduction to Limit, Limit Theorems, Infinite Limits, Continuity of Functions, The Derivative, Derivatives of Trigonometric Functions, The Chain Rule, Higher-Order Derivatives, Implicit Differentiation, Maxima and Minima, Monotonicity and Concavity, Graphing Functions Using Calculus, The Mean Value Theorem for Derivatives, Inequalities and Absolute Values, Function and their Graphs, Rules for Finding Derivatives.




  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : Introduction to Calculus (MATH 101)
    * University Name : Umm Al-Qura University




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Total Lessonses 40 Total Hours 20:45:45 Duration Of Course 17 weeks
Functions
1 Lessons 0:33:44
Functions
0:33:44
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Recorded Session
Function Operation
1 Lessons 0:18:43
Function Operation
0:18:43
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Root Functions
1 Lessons 0:09:41
‏Root functions
0:09:41
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Graphic Function
1 Lessons 0:30:23
Graphic Function
0:30:23
Closed
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Inverse Functions
1 Lessons 0:09:35
Inverse Functions
0:09:35
Closed
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Degree and Measures
1 Lessons 0:21:53
Degree and Measures
0:21:53
Closed
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Unit Circle Approach
1 Lessons 0:23:05
Unit Circle Approach
0:23:05
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Right Triangle Approach
1 Lessons 0:17:25
Right Triangle Approach
0:17:25
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Evaluating Degree of function
1 Lessons 0:17:55
Evaluating Degree of function
0:17:55
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Evaluating Trigonometric Function For General Angles
1 Lessons 0:18:03
Evaluating Trigonometric Functions for General Angles
0:18:03
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Trigonometric Functions and Inverse
2 Lessons 1:12:32
Trigomometric Functions and Their Inverse Part 1
0:32:55
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Trigomometric Functions and Their Inverse Part 2
0:39:37
Closed
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Introduction to Limits
2 Lessons 1:01:49
Introduction to Limits Part 1
0:30:35
Closed
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Introduction to Limits Part 2
0:31:14
Closed
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limits Laws
2 Lessons 1:12:39
Limits Laws Part 1
0:36:19
Closed
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Limits Laws Part 2
0:36:20
Closed
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‏Limits of Trigonometry Functions
1 Lessons 0:16:43
‏Limits of Trigonometry Functions
0:16:43
Closed
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Limits Using the Limits Laws
1 Lessons 0:27:13
Limits Using The Limits Laws
0:27:13
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Limits Involving Infinity
1 Lessons 0:31:23
Limits Involving Infinity
0:31:23
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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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Continuity of Functions
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
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
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Deivatives of polynomials and Exponential Functions
1 Lessons 0:16:54
Deivatives of polynomials and Exponential Functions
0:16:54
Closed
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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
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The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
Recorded Session
Higher-Order Derivatives
1 Lessons 0:08:18
Higher Ordered Derivatives
0:08:18
Closed
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Implicit Differentiation
1 Lessons 0:35:04
Implicit Differentiation
0:35:04
Closed
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Maxima and Minima
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
Monotonicity and Concavity
1 Lessons 0:10:20
Concavity & Inflection points
0:10:20
Closed
Recorded Session
Graphing Functions Using Calculus
1 Lessons 0:45:26
Summary of Curve Sketching
0:45:26
Closed
Recorded Session
The Mean Value Theorem for Derivatives
1 Lessons 0:21:34
The Mean Value Theorem
0:21:34
Closed
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Inequalities and Absolute Values
2 Lessons 1:01:25
Linear Inequality
0:24:38
Closed
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Absolute Value
0:36:47
Closed
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Function and their Graphs
2 Lessons 1:01:00
Functions and Their Graphs
0:30:37
Closed
Recorded Session
Graphic Function
0:30:23
Closed
Recorded Session
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مجموعة المستقبل للتعليم

Academic University Student


Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job