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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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Definition and examples of binary operattion
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R1-Section 2.6,2.7,2.8
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2
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Properties of the binary operations
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R1-Section 2.7,2.8
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3
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Construction of Natural Numbers, definition of addition and multiplication
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R1-Section 3.1,3.2,3.3.
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4
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Properties of addition and multiplication of natural numbers
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R1-Section 3.1,3.2,3.3.
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5
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Countable, finite and infinite sets
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R2- Section 13
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6
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Construction of Integer number sets, properties of addition and multiplication in Z
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R1-Section 4
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7
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Additional properties of addition and multiplication in integer number set
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R1-Section 5
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8
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Construction of Rational Number set as equivalence class, definitions of addition and multiplication in rational number set
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R1-Section 6.1
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9
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Construction of Rational Number set and properties of addition and multiplication.
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R1-Section 6.2,6.3, 6.4
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10
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Additional properties of Rational numbers
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R1-Section 6.5
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11
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Order relation on rational numbers
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R1-Section 6.5, 6.6
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12
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Groups
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R1-Section 9.1,9.2
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13
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Examples of group (Z, Z_m, Q)
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R1-Section 9.1,9.2
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14
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Ring, definition and properties (Z, Z_m, Q)
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R1-Section 11.1,11.2
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