MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Mathematics 1001 Calculus II
Winter 2014
COURSE OUTLINE
INSTRUCTOR:
Dr. Ronald D. Haynes
SECTION:
SLOT:
OFFICE:
05
03
HH2018
PHONE:
8648825
E-MAIL:
[email protected]
OFFICE HOURS:
M
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 8
MATH 1001
Winter 2015
Due: Monday, March 23rd, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem set Indefinite
Integrals by Trigonomet
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 3
MATH 1001
Winter 2015
Due: Monday, February 2nd, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem set Indefinite
Integrals by Parts be
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 6
MATH 1001
Spring 2015
Due: July 17th, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem sets Indefinite Integrals
by Parts and Indefini
Memorial University of Newfoundland
Department of Mathematics and Statistics
Assignment #4
1.
Math 1001
Use the Fundamental Theorem of Calculus to calculate the integrals:
3
0
3 x x
( 2 x ) dx
(a)
(b)
(c)
dx
1
1 x 2
2
dx
(e)
(3 x 1)
/4
1
1
/ 6 sec 2 x t
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 7
MATH 1001
Spring 2015
Due: July 31th, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem set Indefinite Integrals
by Trigonometric Subst
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 5
MATH 1001
Spring 2015
Due: July 08th, 2015. SHOW ALL WORK.
1. Use the Disc-Washer Method to find the volume of the solid obtained obtained by rotating the region enc
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
MATH 1001
Assignment 1
Winter 2015
Due: Monday, January 19th, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem sets Elementary
Indefinite Integrals
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 4
MATH 1001
Winter 2015
Due: Friday, February 13th, 2015. SHOW ALL WORK.
1. Write each of the following in sigma notation (with i = 1 as the lower bound of summation),
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 3
MATH 1001
Spring 2015
Due: June 12th, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem sets The Fundamental
Theorem of Calculus I and
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 4
MATH 1001
Spring 2015
Due: June 19th, 2015. SHOW ALL WORK.
1. The atmospheric pressure P (h) (in kilopascals) at height h meters above sea level satisfies a differen
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 1
MATH 1001
Spring 2015
Due: May 25th, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem sets Elementary Indefinite Integrals and Indefin
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 1 Solutions
Z
1. (a)
Z
(b)
Z
(c)
Z
(d)
Z
(e)
Z
(f)
Z
(g)
Z
(h)
Z
(i)
Z
(j)
Z
(k)
Z
(l)
C
5
x2 1 +
x2
x
Z
dx =
(e3x e2x )2
dx =
ex
Mathematics 1001
5
1
x2
1
x2
+
x2
x2
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 3 Solutions
[4]
Mathematics 1001
Fall 2016
n
X
1
3
3
1. lim
[(1 + i)2 5(1 + i) + 1]
n
n
n
n
i=1
n
X
6
9
1
15
[(1 i + 2 i2 ) 5
i + 1]
= lim
n
n
n
n
n
i=1
n
X
1
21
9
[
Math 1001
Assignment #4
Solutions.
Problem 1.
The function f (t) is given by equation y = 4t 1 for t [0, 1] and y = 4 t for t [1, 6].
Thus, g(1) =
g(3) =
R1
g(6) =
R1
R1
0
(4t 1)dt = 2t2 t|10 = 1
(4t 1)dt +
R3
(4t 1)dt +
0
R6
0
Problem 2.
1
1
(4 t)dt = 1
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 2 Solutions Mathematics 1001 Fall 2016
1. (a) Integrating we have y(:1:) = 2:3 + 2cos(7r .73) + C. We are also told y = 1 when
x = 7r. Hence 1 = 7r3 + 2cos(0) + C' or
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 6 Mathematics 1001 Winter 2016
Due: March 4, 2016 . SHOW ALL WORK
1. Sketch the region bounded by the given curves, and then nd the area of the region.
[4] (a) 2x+
Memorial University of Newfoundland
Department of Mathematics and Statistics
Assignment #7
Maththematus 1001
Fall 2014
I.
Use the given formulae and do the following problems:
(a)
5
4 x 2 12 x
5
2x 3
arcsin
c
=
2
3
(b)
4 x
1
dx =
20 x 30
2
1
1
=2
2 x
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
MATH 1001
Assignment 6
Winter 2015
Due: Monday, March 2nd, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem set The Fundamental Theorem of Calculus
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 7
MATH 1001
Winter 2015
Due: Friday, March 13th, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem sets Indefinite
Integrals by Partial F
X ,\ “pawn, [M] 3
LP 4 + ,. . 71:
v a: TEN 2
m‘ b Yo
Mfr MCLV WWW
Qéa vhf: + $0 T:
c , g g is
o 53%
vi a MLV Van
“(\éiaﬁnﬂmv +7 $8.; 7: e. wb
(<5. ,
33 a
wﬁoﬁﬂmvﬁ, 1%
mac a26me
38 .3 magnum
«£3500 7me5 we .H
Awgspduwmm 98 pain
E {Kg
“.02 OH
1» E832 - 83
TX 4 N
5141! xi. , x w
G , Q Q\ Q
y + + N 1r xv B W!
% it as :1 g, g x
ﬁx , x w / J
p Q #7 53 M u»
L . or _ \
\ILA: w + : FL mm x 5: ,
/ e / \, ,_,
x o
N
$+N>E§ aw
“w H “K N
32580 ESE a A
355‘?me mm Etna
moo 528me “.02 OH “252
Sea :3 magnum
1w SEES -
Math 1001
Assignment #8
Due:
Tuesday,
Spring, 2017
July 25
Note: The assignments that are submitted on Monday (July 24) by 5:00 p.m. will received a
10% bonus added to the assignment.
1.
Find each of the following integrals using a trigonometric substitut
Math 1001
Assignment #2
Due:
Friday,
Spring, 2017
June 2
1. Use the summation formulas to evaluate the sum
10
X
(2i 5)3 .
i=1
2
n
X
2i
3
2. Find lim
3
.
n
n
n
i=1
3. Sketch and shade the region under the graph of f (x) = 2x 1 from x = 2 to x = 6,
and us
Assignment # C]
Practice Exercises Only. Not To Be Submitted.
Determine whether each of the following improper integrals converges or diverges, nding the value
of those integrals that converge:
1 3 1 1
1. dm 9. dz 16. d
A \/4z+1 /0 x/Qmz /1 4321 :3
4
Math 1001
Due:
Assignment #1
Thursday,
Spring, 2017
May 18
Note: You do not have u-substitution for this assignment. Use formulas given in class.
1. Find each of the following integrals:
(1)
R
3x4 10
dx
6x6
(8)
R
6
dx
4x+1
(2)
R
8x1
dx
2x x
(9)
R
9
dx
3
Math 1001
Assignment #4
Due:
Friday,
Spring, 2017
June 16
Note: The assignments that are submitted on Wednesday (June 14) by 5:00 p.m. will received
a 10% bonus added to the assignment.
1. Evaluate each of the following integrals,using long division or th
Math 1001
Due:
Assignment #3
Spring, 2017
Wednesday,
June 7
Note: The assignments that are submitted on Monday (June 5) by 5:00 p.m. will received a
10% bonus added to the assignment.
1. Use the Fundamental Theorem of Calculus to evaluate each of the foll
Assignment 5 for math 1001
Due: 5pm June 23, 2017
1. A radioactive substance has a half-life of 20 years. If 8mg of the substance remains after 100 years, find
(a) how much of the substance was initially present.
(b) how much will remain after 200 years.