MA129 Lecture 1: (MA 129)-(Lecture 1)-(Basics)

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17 Jan 2019
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Course
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MA 129 Lecture 1: Basics
Natural Numbers
Z=-3,-2,-1,0,1,2,3
Integers
Extension of natural numbers
Rational Numbers
Fractions
Decimal representation is repeated
Irrational Numbers
Insert square (1:1) and circle with line through it
Decimal Representation
Denseness property of Q(rational numbers) and Q’(irrational numbers)
Some properties of R
Commutative Properties
x+y=y+x
Associative Properties
(xy)z=x(yz)
Distributive Property
x(y+z)=xy+xz
Power Rules
x^3=x*x*x
(x^2)^3=x^6
Polynomials
4x^2+3x+2
-7x^3+2x^2+1
Multiplying Polynomials
R1-10) (9k+q)(2k-q)
=(9k+q)(2k) +(9k+q)(-q)
=9k(2k)+q(2k)+(9k)(-q) +q(-q)
=18k^2+2qk-9kq-q^2
=18K^2-7kq-q^2
R1-4) 2(3r^2)+2(4r)+2(2)+(-3)(-r^2)+(-3)(4r)+(-3)(-5)
=(Distribute)
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