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Week
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Topics
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Study Metarials
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1
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Division algorithm, representation of Integers
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R1: Section 1.5, 2.1
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2
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Greatest common divisor, the Euclidean algorithm
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R1: Section 3.3,3.4
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3
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The fundamental theorem of arithmetic
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R1: Section 3.5
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4
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Factorizarion Methods and Fermat Numbers
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R1: Section 3.6
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5
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Linear Diaphontine Equations
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R1: Section 3.7
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6
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Introduction to Congruences
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R1: Section 4.1
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7
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Linear Congruences, Chinese Remainder Theorem, and solution of polynomial congruences
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R1: Section 4.2,4.3, 4.4
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8
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Systems of Linear Congruences
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R1: Section 4.5
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9
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Divisible Test
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R1: Section 5.1
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10
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Wilson`s Theorem and Fermat`s Littel Theorem
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R1: Section 6.1
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11
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Euler`s Theorem
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R1: Section 6.3
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12
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Euler Phi Function
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R1: Section 7.1
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13
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Primitive Roots
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R1: Section 9.1, 9.2
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14
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The existence of Primitive roots
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R1: Section 9.3
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