Assist. Prof. Dr. Abdullah A....

Dr. Abdullah A. Abdullah ……………………..Mathematic &biostatistics

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1st Stage…….1st Semester

Written by

Assist. Prof. Dr. Abdullah A. Abdullah

2013 – 2014


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INTERVALES:


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H.W:


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See Figure:

Coordinate increments may be positive, negative, or Zero.


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Exercises:

1.

2.

H.W:

Solve the inequalities & show the solution sets on the real line.


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Note: The Student Does (H.W, Exercises).


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H.W:


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Note


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Theorem:


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Example: Applying the definition to find Delta. Prove that.


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Note:


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Example:


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Example:


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Notice that:

Note:


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1. Find the Limits:

2. Find the Limits:

3. Find the Limits:


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Continuous function: any function y = f(x). Who’s sketched over its domain in one

continuous motion without lifting the pencil is an example of a continuous function.


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Note:


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Note:


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Note:

H.W:

:


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Note

Note:


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Fig: Show the slope of the tangent

Note:


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*read the Ex*


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Exercises:

1. Find the slope of the curve at the point indicate:

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3.


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We defined the slope of a curve y = f(x). At the point where x= x0 to be


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Note:


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A.

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B.


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The statement is true for n = 2, this is Step 1 of the induction proof.


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Note: ,


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!!!


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Note:


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A.

B.


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Assist. Prof. Dr. Abdullah A....

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