Winter 2015
MA250 WLU
Assignment #2
Due: Tuesday, January 20, 2015
Instructions:
Solutions to all questions are to be handed in. Although correct reasoning
and accurate computations are essential, full marks require proper presentation
of your work.
1. Ba
Winter 2015
MA250 WLU
Assignment #9
Due: Tuesday, March 17, 2015
Instructions:
Solutions to all questions are to be handed in. Although correct reasoning
and accurate computations are essential, full marks require proper presentation
of your work.
1. Prov
Winter 2015
MA250 WLU
Assignment #10
Due: Tuesday, March 24, 2015
Instructions:
Solutions to all questions are to be handed in. Although correct reasoning
and accurate computations are essential, full marks require proper presentation
of your work.
1. In
Winter 2015
MA250 WLU
Assignment #11
Due: Tuesday, March 31, 2015
Instructions:
Solutions to all questions are to be handed in. Although correct reasoning
and accurate computations are essential, full marks require proper presentation
of your work.
1. Usi
Chapter 2
2.1 Algebraic and Order Properties of
R
Algebraic Properties of
(A1)
two binary operations addition and multiplication
a+b=b+ a a , b R
(Commutative property of addition)
(A2) ( a+b )+ c=a+ ( b+c ) a ,b ,c R
(A3) 0+a=a+ 0 a R
(Associative prop
Chapter 3
3.1 Sequences and Their Limits
A sequence of real numbers is a function defined on the set
N=cfw_1,2,
whose range is contained in
the set
Note: sequence
X =( x n ) doesnt converge to
x
if
one number 0 > 0 for any chosen K , n K K s . t . xn x
Chapter 5
5.1  Continuous Functions
f ( x ) is continuous @ c , a cluster point of A , f : A R , if for every >0, thenthere isa >0 s . t . for xA ,if x c< ,thenf ( x )
.
If f ( x ) is not cts @ c , then it is discontinuous at c .
This defn secures thr
Chapter 4
4.1 Limits of Functions
A point c R is a cluster point of A if >0 there at least one point x A , x c s . t .xc<
Thm 4.1.2 TFAE
(a)
c is a cluster point of A R
(b)
>0, V ( c ) contains infinitely many points of A
(c)
There is a sequence ( an
Chapter 6
6.1 The Derivative

Lis the derivative of f at c if > 0, ( ) >0 s . t . if x I satisfies 0<xc< , then
replacing x with c+h , lim
x c

f ( x )f ( c )
L < .
xc

If f ' ( c ) , thenwe say that f ( x ) isdifferentiable @ c , givenby thelimit f
Chapter 7
7.1 Riemann Integral
(1)
Partitionof I =[ a , b ] isa finite ordered set P= cfw_ a=x 0 , x 1 , , x n=b ,thei th subinterval: I i=[ xi1 , x i ]
(2)Define:
The norm of a partition , denoted P=max ( x 1x 0 , x2 x1 , , x n x n1 ) maximum lengthof
Winter 2015
MA250 WLU
Assignment #8
Due: Thursday, March 12, 2015
Instructions:
Solutions to all questions are to be handed in. Although correct reasoning
and accurate computations are essential, full marks require proper presentation
of your work.
1. (a)
Winter 2015
MA250 WLU
Assignment #4
Due: Tuesday, February 3, 2015
Instructions:
Solutions to all questions are to be handed in. Although correct reasoning
and accurate computations are essential, full marks require proper presentation
of your work.
1. Su
Winter 2015
MA250 WLU
Assignment #1
Due: Tuesday, January 13, 2015
Instructions:
Solutions to all questions are to be handed in. Although correct reasoning
and accurate computations are essential, full marks require proper presentation
of your work.
1. If
Winter 2015
MA250 WLU
Assignment #3
Due: Tuesday, January 27, 2015
Instructions:
Solutions to all questions are to be handed in. Although correct reasoning
and accurate computations are essential, full marks require proper presentation
of your work.
1. Gi
Winter 2015
MA250 WLU
Assignment #5
Due: Tuesday, February 10, 2015
Instructions:
Solutions to all questions are to be handed in. Although correct reasoning
and accurate computations are essential, full marks require proper presentation
of your work.
1. P
Winter 2015
MA250 WLU
Assignment #6
Due: Tuesday, February 24, 2015
Instructions:
Solutions to all questions are to be handed in. Although correct reasoning
and accurate computations are essential, full marks require proper presentation
of your work.
1. F
Winter 2015
MA250 WLU
Assignment #7
Due: Thursday, March 5, 2015
Instructions:
Solutions to all questions are to be handed in. Although correct reasoning
and accurate computations are essential, full marks require proper presentation
of your work.
1
1
div