CHAPTER 2
Review of Algebra
2.1 Real Numbers
The text assumes that you know these sets of numbers. You are asked to
characterize each set in Problem 1 of Chapter 1 review.
Name
Symbol
Counting numbers
or natural numbers
Set
f1, 2, 3, 4, g
Whole numbers
f

University of Saskatchewan
Department of Mathematics and Statistics
Math 264 (01) Assignment #3
Due: Monday, October 19, 2015
This is not a group assignment. The solutions you submit must be your own.
You may use a simple scientific calculator but using

University of Saskatchewan
Department of Mathematics and Statistics
Math 264 (01) Assignment #1
Due: Monday, September 21, 2015
This is not a group assignment. The solutions you submit must be your own.
You must provide detailed solutions. A correct ans

University of Saskatchewan
Department of Mathematics and Statistics
Math 264 (01) Assignment #2
Due: Wednesday, October 7, 2015
This is not a group assignment. The solutions you submit must be your own.
You must provide detailed solutions. A correct ans

Chapter 4 - Numerical Solution
of Nonlinear Equations
4.1 The Bisection Method
In this chapter, we will be interested in solving
equations of the form
f (x) = 0.
This means we will be looking for magical values x
that make f (x) = 0.
Such a number x is ca

University of Saskatchewan
Department of Mathematics & Statistics
Assignment #1 for Math258 Due Date: July 15, 2011
Pro‘bgm #1
In proof of SSS theorem in chapter 1, we choose G such that
AGBC E AE,AGCI}§ and G was outside the triangle AABC. What would
hap

University of Saskatchewan
Department of Mathematics & Statistics
fix
Assigmnent #2 for Math258 Due Date: 11113533,?on
Problem #1
In the ﬁgure ABCD is a rectangle and E lies on AC . Prove that rectangle I
and rectangle II have the same area. Use this fact

Chapter 7: Triangles and Circles
Circumcircles
Our main goal of this section is to show that for any
triangle ABC there exists a unique circle that contains the
three vertices, A, B, and C. We say that this circle is
circumscribed about ABCand call it th

Chapter 1
Congruent Triangles
DEFINITION.
Two triangles ABC and DEF
are said to be congruent if the
following six conditions all hold :
1.A D
4. AB DE
2.B E
5.BC EF
3.C F
6. AC DF
In this case, we write ABC DEF and we say
that the various congruent angles

Chapter 2
EXISTENCE AND UNIQUENESS
One of the basic axioms of Euclidean
geometry says that two points
determine a unique line.
This implies that two distinct lines cannot
intersect in two or more points, they
can either intersect in only one point or
not

Why Studying Euclidean Geometry?
It is well known that most students find it difficult to learn
to do proofs. Geometry, especially Euclid, provides an
excellent setting for students to improve their proof skills.
Secondary school teachers are going to b

Chapter 3 : Area
For every polygon P we can associate to P a nonnegative real
number denoted area (P) such that
(A1) Congruent polygons have equal areas.
(A2) If P can be cut into two non-overlapping polygons P1
and P2 then area (P) = area ( P1) + area

Chapter 5 : Circles
A circle is defined by a center and a radius. Given a point
O and a length r, the circle with radius r and center O is
defined to be the set of all points A such that OA = r. Much
of this chapter will be concentrated with the relation

Problems of Chapter 4
4.1
4.2
4.3
Assume that ABC and EFG are similar. With ratio k. Let AD be an altitude of
ABC and EH be an altitude of EFG. Prove that EH = k. AD. What can you
conclude about the areas of two triangles?
In triangles ABC and DEF assume

Problems for Chapter 2
2.1
Let the lines l1 and l 2 be cut the transversal AB forming the angles a, b,
c, d, e, f, g, h, as show in the figure. Prove that the following are
equivalent:
(a) l 1 l 2
(b) a e
(c) c g
(d) b = 180 o e
(e) d h
Note: the pairs a

Problems for Chapter 1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
There are six conditions in the definition of congruent triangles,
Labeled (1),(2),(3),(4),(5),(6).make a list of all (20) three-element
subsets of (1),(6) and, for each one, tell whether it as hypothesis

Chapter 4 : Similar Triangles
Informally, similar triangles can be thought of as having
the same shape but different sizes. If you had a picture of a
triangle and you enlarged it, the result would be similar to
the original triangle. Here is the precise

University of Saskatchewan
Department of Mathematics & Statistics
Assignment #1 for Math258
Due Date: Feb 23, 2016
_
Problem #1.
Assume that in ABC, a = 4, b= 9, and c=11. Calculate the area, the
perimeter and the length of each of the three altitudes.
Pr

University of Saskatchewan
Department of Mathematics
& Statistics
Lec
Sec
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04
06
96
21488
21490
21491
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Lab
Sec
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PAWS
CRN
IMPORTANT: Midterm dates pending College approval
Course Outline
Course Number & Name: Math 116.3, Calculus II
2014-2015 Ter