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Assem Deif
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- Differential and Integral Calculus
- Limit
- Squaring of the parabola
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- Sets and relations
- The set R
- Algebraic and order properties
- Inequalities
- Neighborhood
- Cartesian product
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- The Function as a Concept
- Characteristics of f
- Domain and range of a function
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- The Function
- Even Function
- Odd Function
- Monotonically increasing
- Periodic Function
- New Equation
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- Power function
- Exponential function
- Trigonometric functions
- Trigonometric identities
- Hyperbolic identities
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- Composite functions in engineering
- Method of constructing fog
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- Steps to obtain f
- Logarithmic Function
- Solving the equation
- Theorem
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- Limit of a sequence
- Limit of a Function
- One?sided limit
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- Basic theorems
- Squeeze Theorem
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- Definition of Continuity
- Continuity Theorems
- Continuity on an Interval
- The Extreme Value Theorem
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- Definition of the Derivative
- Differentiability on an Interval
- Differentiation Laws
- Derivatives of Basic Functions
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- Derivative of the Inverse Function
- Derivative of the Composite Function
- Derivative of Implicit and parametric Functions
- Repeated Differentiation
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- Mean Value Theorem and Taylor Formula
- Approximations
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- Indeterminate quantities
- Cauchy mean value theorem
- L?Hospital Rule
- Convexity, Concavity and Extrema
- Convexity and Concavity
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- Definition of a Local Extrema
- 1th test of Local Extrema
- 2nd test of Local Extrema
- Definition of the Absolute Extrema
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- Mechanical techniques for drawing graphs
- Graphical Properties
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- Notion of the Indefinite integral
- Remarks about the Antiderivative
- Properties of the indefinite integral
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- Theorem
- By Completing the Square
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- Theorem
- Reduction Formula
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- The equivalence of trigonometric and hyperbolic integrals
- Rules for even and odd powers
- When do the rules fail
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- Types of substitutions
- By using a reduction formula
- A second method
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- Partial fractions representation
- Some Integrals
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- The Definite Integral as a Limit to Riemann Sum
- Riemann Sum
- Theorem
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- Properties of integrable functions
- Useful theorems on parity
- Integral Mean value theorem
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- The fundamental theorem
- Improper integrals
- Applications to the Integral
- Calculating Areas
- Solid of Revolution
- Length of Curves
- Surface Areas of Revolution
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