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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:
2.
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.
.
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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