تحليل حقيقي1
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محتويات المقرر
The Real Number System
a) Algebraic properties
b) Order properties
c) Completeness axiom and its consequences
Sequences in of real numbers
a) Convergent sequences
b) Limit theorems
c) Monotone sequences
d) Subsequences
e) Limit superior and inferior
f) Cauchy sequences
Topology of the real line
a) Open sets
b) Closed sets
c) Limit point of a set
d) Bolzano-Weierstrass Theorem
e) Compact sets
f) Heine-Borel Theorem
Limits and continuity
a) Limits
b) Continuity
c) Uniform continuity
Differentiation
a) The derivative
b) Mean Value Theorem
c) L’Hospital’s Rule
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آخر تحديث
9/16/2017 12:21:26 PM
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