an Cbsicuwiu walk ow. .4
EM. - he; .a) + (Hump an. L
in a mum will cfw_will a]; age-N,
[3 E- 43' 1- fawnin-Wmmubtcmmg
d ; J
' G$L
cfw_M ., I
I
V S. f. in -I ew) vln cfw_FIG/403'IH4RMJIM
= jtfmug: L2#>&-fflnm)-_2'# 13le
Ex; cw. u wk .1. t7, mag.
/ . . -
1
MATH 2ZZ3
MATH 2ZZ3: SAMPLE TEST #2
2
MATH 2ZZ3
1. Let D be a bounded region in the x, y plane whose boundary is a smooth simple closed
curve C, which is positively oriented (with respect to D). Then, the area of D can be
computed as the line integral:
LAST (family) NAME:
Test # 1
FIRST (given) NAME:
Math 2ZZ3
February 9, 2013
ID # :
Lab # :
Instructors:
Dr. A. Contreras
Dr. J.-P. Gabardo
Dr. A. French
Test duration: 75 min.
Instructions: You must use permanent ink. Tests submitted in pencil will not be
LAST (family) NAME:
Test # 2
FIRST (given) NAME:
Math 2ZZ3
March 9, 2013
ID # :
Lab # :
Instructors:
Dr. A. Contreras
Dr. J.-P. Gabardo
Dr. A. French
Test duration: 75 min.
Instructions: You must use permanent ink. Tests submitted in pencil will not be co
LAST (family) NAME:
Test # 1
FIRST (given) NAME:
Math 2ZZ3
February 14, 2012
ID # :
Lab # :
Instructors:
Dr. T. Arnold
Dr. J.-P. Gabardo
Dr. A. Selvitella
Test duration: 75 min.
Instructions: You must use permanent ink. Tests submitted in pencil will not
Solutions to some of the problems in
Chapters 15 and 16 of Cain & Herod.
1
Section 15.1
15.1, Problem 1
We use x = u and y = v as parameters. The surface can then be parametrized by
r(u, v) = u, v, u + 2 v 2 , u, v 0.
15.1, Problem 2
If we let x = 2 x, y
Math 2ZZ3 Midterm Test
Monday 16 July, 2012
Name:
Student number:
Instructor: Dr. Trevor Arnold
Evening class.
Duration of examination: 2 Hours.
McMaster University midterm test.
This examination paper includes 8 pages and 12 questions. There is additiona
Math 2ZZ3: Engineering Math IV
Summer 2012
MATLAB Assignment #2
Instructions
Prepare your assignment using the template le template.m linked on the course homepage.
Be sure to enter your name and student ID number in the appropriate locations in the le.
Engineering Mathematics IV (MATH 2ZZ3) Winter 2012
1
HOMEWORK #4: DOUBLE INTEGRALS, GREENS
THEOREM AND SURFACE INTEGRALS
Due: Monday, March 18 by midnight
Instructions:
The assignment consists of two questions.
Submit your assignment electronically to t
Engineering Mathematics IV (MATH 2ZZ3) Winter 2013
1
HOMEWORK #3: VECTOR FIELDS
Due: Monday, March 4 by midnight
Instructions:
The assignment consists of two questions.
Submit your assignment electronically to the Email address specic to your last
name
Engineering Mathematics IV (MATH 2ZZ3) Winter 2013
1
HOMEWORK #1: FOURIER SERIES
Due: Monday, January 28 by midnight
Instructions:
The assignment consists of two questions.
Submit your assignment electronically to the Email address specic to your last
n
Engineering Mathematics IV (MATH 2ZZ3) Winter 2013
1
HOMEWORK #2: VECTOR FUNCTIONS, CURVES
AND SURFACES
Due: Monday, February 11 by midnight
Instructions:
The assignment consists of two questions.
Submit your assignment electronically to the Email addre
11.1 plan
53 ;W +4 c
a) , (mush)
MINT): ("in"),de '1.
Luhw Ha nan-413 8' *MW
lg w, gum cw+u MAP,
yaw): (33:1, 9-4-3: (meg?-
S a: (may.
. .n p" Pth ( n")
a
5i Vc cfw_VA-nu- \'. M um Auk M
u'zJeo, that-2, hrs.
0 (1) (1;
thi 5.1!. .1 Js-h)(3) MM
1' dual
Engineering Mathematics IV (MATH 2ZZ3) Winter 2012
1
HOMEWORK #5:TRIPLE INTEGRALS,
DIVERGENCE THEOREM AND THE HEAT
EQUATION.
Due: Monday, April 1 by midnight
Instructions:
The assignment consists of two questions.
Submit your assignment electronically t
McMaster University MATH 2ZZ3 Winter 2014 (version # 2)
MATH 2ZZ3 TEST #2 (VERSION 2)
March 17, 2014,
Duration: 75 minutes
Dr. Murphy (C01 & C02) and Dr. Protas (C03)
Last (Family) Name:
First (Given) Name:
Student Number:
This text paper consists of 12
McMaster University MATH 2ZZS - Winter 2014 (version # 1)
MATH 2zzs TEST #2 (VERSION 1)
March 17'1 2014, Duration: 75 minutes
Dr. Murphy (001 8:. 002) and Dr. Protas (003)
LAST (FAMILY) NAME:
FIRST (GIVEN) NAME:
STUDENT NUMBER:
o This text paper consi
McMaster University MATH 2ZZ3 Winter 2014 (version # 2)
MATH 2ZZ3 TEST #1 (VERSION 2)
February 3, 2014,
Duration: 75 minutes
Dr. Murphy (C01 & C02) and Dr. Protas (C03)
Last (Family) Name:
First (Given) Name:
Student Number:
This text paper consists of 1