Be sure this exam has 5 pages including the cover
The University of British Columbia
MATH 308
Midterm Exam II November 2010
Family Name
Given Name
Student Number
Signature
This exam consists of 4 ques
Math 308
Fall 2010
Assignment 9
1. 5.1
#2 (page 258)
2. 5.1
#3 (page 258)
3. 5.1
Find and sketch the image of the rectangle
R = (x, y) :
1
2
x 3 , |y|
4
1
4
under inversion in the unit circle x2 + y
Math 308
Fall 2010
Assignment 10
(never due)
1. 5.3
#3 (page 259)
2. 5.3
#4 (page 259)
3. 5.3
#5 (page 259)
4. 5.2
(a) Let t1 (z) be the inversion in the line x + y = 1. Find its formula.
(Hint. It is
Math 308
Fall 2010
Assignment 5
2.3 2.4
1. 2.3
#4 (page 92)
2. 2.4
#4 (page 93)
3. 2.4
#5 (page 93)
4. 2.4
#6 (page 93)
AX
5. Sketch the graph of the function f (x) where, for x R, f (x) is the signed
Math 308
Fall 2010
Assignment 6
2.5 3.2
1. 2.5
#1 (page 93)
Hint: SQ and P R are NOT conjugate diameters.
2. 2.5
#2 (page 93)
3. A line meets the same branch of a hyperbola at points P and Q, and meet
Math 308
Fall 2010
Assignment 1
page 14 Problem 8
page 22 Problem 3
page 43 1.1 #5
page 43 1.1 #6(b)
page 43 1.2 #3
page 43 1.2 #6
2
2
Let H denote the hyperbola x2 y2 = 1, and A denote the lin
Math 308
Fall 2010
Assignment 3
(due Oct 13)
page 42 Problem 4 (a,b,c)
page 44 1.4 #2
Hint: Since the coecients for x2 and z 2 are dierent, the intersection of the hyperboloid and the plane y = 1 is
Math 308
Fall 2010
Assignment 4
2.2 2.3
1. page 91 2.2 #1
2. page 91 2.2 #2
3. page 91 2.2 #3(a)
4. Show by example that the magnitude of angle is not an ane property.
5. Can an ane transformation of
Math 308
Fall 2010
Assignment 2
page 33 Problem 2(b) without identifying the axes.
page 44 1.3 #1(d) without identifying the axes.
page 39 Problem 2 without identifying the centre nor the axes.
pa
Math 308 Fall 2010 Assignment 3
(due Oct 13)
0 page 42 Problem 4 (a,b,c)
0 page 44 §1.4- #2
Hint: Since the coefcients for :32 and 22 are different, the intersection of the hy-
perboloid and the pl
Math 308
Fall 2010
Assignment 7 partial list
(due Nov 17)
3.2
#4(a) (page 147)
3.2
#5 (page 147)
3.3
#4 (page 148)
3.3
#5(a,b) (page 148)
(more will be assigned after second midterm exam)
Midterm
Be sure this exam has 12 pages including the cover
The University of British Columbia
MATH 308, Section 101, Instructor Tai-Peng Tsai
Practice Final Exam December 2010
Family Name
Given Name
Student N
Math 308
1. 3.5
#2 (page 149)
3. 3.5
Assignment 8
#1(a) (page 149)
2. 3.5
Fall 2010
#3 (page 149)
4. For the collinear Points in #1(a), nd another Point X in the same Line so that
(ABCX) = 2.
5. Inves