MATH 3073 1B Winter 2015
Assignment # 4
Answer the following questions. Be sure to include your workings. Be clear and explain your steps. You can
discuss the assignment questions and course material with other students and with the instructor but you mus
Last name:
First name:
Student ID:
Section number:
UNIVERSITY OF NEW BRUNSWICK
DEPARTMENT OF MATHEMATICS & STATISTICS
MATHEMATICS 1013: Introduction to calculus II (Winter 2015)
Test 5 Solution (Tuesday, Mar 24, 2015)
Time: 50 minutes (no calculators, cel
UNIVERSITY OF NEW BRUNSWICK
DEPARTMENT OF MATHEMATICS & STATISTICS
MATHEMATICS 1013: Introduction to Calculus II (Winter 2015)
Solution to Lab 4 (week of Feb 23)
MARKS
Evaluate the following integrals:
Z
(3)
1.
sin2 cos2 d.
Solution
Z
2
Z
2
sin cos d =
=
UNIVERSITY OF NEW BRUNSWICK
DEPARTMENT OF MATHEMATICS & STATISTICS
MATHEMATICS 1013: Introduction to Calculus II (Winter 2015)
Lab 5 (week of March 16) Solutions
Instructions: This lab is to be done with a partner. You and your partner should hand in one
MATH 3073 1B Winter 2015
Practice Questions for Final Exam
1. Richardsons method uses central differences in both space and time. Give the difference equation for Richardsons scheme applied to
ut = uxx .
2. Give the finite difference problem using the Cra
MATH 3073 1B Winter 2015
Assignment # 1
Answer the following questions. Be sure to include your workings. Be clear and explain your steps. You can
discuss the assignment questions and course material with other students and with the instructor but you mus
MATH 3073 1B Winter 2015
Assignment # 5
Answer the following questions. Be sure to include your workings. Be clear and explain your steps. You can
discuss the assignment questions and course material with other students and with the instructor but you mus
Chapter # 3
Sec 3.1: Random Variable
Definition: For a given sample space S of some
experiment, a random variable (rv) is any rule that
associates a number with each outcome in S.
Discrete RV: A discrete rv is a rv whose possible
values either constitut
MATH 3073 1B Winter 2015
Assignment # 3
Answer the following questions. Be sure to include your workings. Be clear and explain your steps. You can
discuss the assignment questions and course material with other students and with the instructor but you mus
Chapter # 6
Sec 6.1: Some General Concepts of Point Estimation
Definition: A point estimate of a parameter is
a single number that can be regarded as a sensible
value of . A point estimate is obtained by selecting
a suitable statistic and computing its v
MATH 3073 1B Winter 2015
Assignment # 2
Answer the following questions. Be sure to include your workings. Be clear and explain your steps. You can
discuss the assignment questions and course material with other students and with the instructor but you mus
Chapter # 4
Sec 4.1: Continuous Random Variables and Probability Density Function
Continuous RV: A rv X is said to be continuous
if its set of possible values is an entire interval of
numbers - that is, if for some A < B, any number
x between A and B is
UNIVERSITY OF NEW BRUNSWICK
DEPARTMENT OF MATHEMATICS & STATISTICS
MATHEMATICS 1013: Introduction to Calculus II (Winter 2015)
Lab 6 (week of March 30)
Instructions: This lab is to be done with a partner. You and your partner should hand in one neat
copy
UNIVERSITY OF NEW BRUNSWICK
DEPARTMENT OF MATHEMATICS & STATISTICS
MATHEMATICS 1013: Introduction to Calculus II (Winter 2015)
Solution to Test 3 on Thursday (week of Feb 9)
(7)
1. The region R enclosed by the curves y = x and y =
the volume of the result
UNIVERSITY OF NEW BRUNSWICK
DEPARTMENT OF MATHEMATICS 85 STATISTICS
MATHEMATICS 1013: Introduction to Calculus II (Winter 2015)
Lab 1 (week of Jan 12)
Instructions: This lab is to be done with a partner. You and your partner should hand in one neat
copy o
UNIVERSITY OF NEW BRUNSWICK
DEPARTMENT OF MATHEMATICS & STATISTICS
MATHEMATICS 1013: Introduction to Calculus II (Winter 2015)
Lab 2 (week of Jan 26)
Instructions: This lab is to be done with a partner. You and your partner should hand in one neat
copy of
UNIVERSITY OF NEW BRUNSWICK
DEPARTMENT OF MATHEMATICS & STATISTICS
MATHEMATICS 1013: Introduction to Calculus II (Winter 2015)
Solution to Test 3 on Tuesday (week of Feb 9)
1. The region R enclosed by the curves y = 4x and y = x2 is rotated about the yaxi
"I i F
:(jiLbl 113);
Last name: First name:
Student ID: Section number:
UNIVERSITY OF NEW BRUNSWICK
DEPARTMENT OF MATHEMATICS & STATISTICS
MATHEMATICS 1013: ction to Calculus I] cfw_Winter 2015)
Test (Tuesday March 10, 2015)
Time: 45 minutes (no calculat
Solution to Test 1
UNIVERSITY OF NEW BRUNSWICK
DEPARTMENT OF MATHEMATICS & STATISTICS
MATHEMATICS 1013: Introduction to calculus II (Winter 2015)
Test 1 (Tuesday, Jan 20, 2015)
Time: 35 minutes (no calculators, cellphones, notes, books, talking). Show you
Last name: First name:
Student ID: Section number:
UNIVERSITY OF NEW BRUNSWICK
DEPARTMENT OF MATHEMATICS 85 STATISTICS
MATHEMATICS 101 .- 7174sz 'on to Calculus [1 [Winter 2015)
Test I\(Thursday, ll arch 12, 2015)
\V V .
Time: 45 minutes (no calcEtoel
Last name:
First name:
Student ID:
Section number:
UNIVERSITY OF NEW BRUNSWICK
DEPARTMENT OF MATHEMATICS & STATISTICS
MATHEMATICS 1013: Introduction to calculus II (Winter 2015)
Test 5 Solutions (Thursday version)
MARKS
(8)
1. Evaluate the following integ
UNIVERSITY OF NEW BRUNSWICK
DEPARTMENT OF MATHEMATICS & STATISTICS
MATHEMATICS 1013: Introduction to calculus II (Winter 2015)
Test 1 (Thursday, Jan 22, 2015)
MARKS
5p
Z
(1)
2 + x2 dx. Which of the following expressions represents the inte-
1. Consider th
Chapter # 7
Sec 7.1: Basic Properties of Confidence Intervals
Basic Properties:
1. The population distribution is normal
2. the value of population standard deviation is
known.
Definition: A 100(1-)% confidence interval (CI)
for the mean of a normal pop
Chapter # 2
Sec 2.1: Sample Space and Events
Experiment: An experiment is any action or process
whose outcome is subject to uncertainty.
Ex: Toss a coin, Throw a die etc.
Sample Space: The sample space of an experiment,
denoted by S, is the set of all p
Chapter # 9
Sec 9.1: z Tests and Confidence Intervals for a
Difference Between Two Population Means
o Basic Assumptions:
1. X1,X2,.,Xm is a random sample from a popu—
lation with mean ,ul and variance of.
2. Y1,Y2,.,Yn is a random sample from a popula—
ti
NAME
Math 2003, hand in Assignment 7, Due Today or Tomorrow(October 30)
1. A at circular plate occupies x2 + y 2 1. The plate is heated so that the temperature
at (x, y) is T (x, y) = x2 x + y 2 .
Find the hottest and coldest points on the plate.
2. Find