DAWSON COLLEGE
DEPARTMENT OF MATHEMATICS
FINAL EXAMINATION
CALCULUS-III
May 24, 2016
Time: 2:00 pm-5:00 pm
Instructor: A. Panait, T. Kengatharam
Name:
ID:
Instructions:
Translation and regular dictionaries are permitted.
Scientific non-programmable calcul
3/3/16
3.4 Binomial Distribution
Ex.
You answer a multiple choice test at random.
Each question has 4 possible answers with one correct answer.
There are 5 questions.
What is the probability of getting exactly 1 correct answer?
2/15/16
2.2.6 Tree diagrams
2.2.6 Tree diagrams
Ex. 2.53
Consider the midterm and final for a statistics class. Suppose 13%
of students earned an A on the midterm. Of those students who earned an
A on the midterm, 47% received
15-10-01
2.4 Random Variables
A random variable is a variable that assumes a unique numerical value
for each of the outcomes in the sample space of a probability
experiment.
Random variables
2/8/16
2.2 Conditional probability
Question: Are students more likely to use marijuana when their parents used
drugs?
2.2 Conditional probability
Ex. 2.34 If at least one parent used drugs, what is the chance their child
(student
2/8/16
2.1.4 Probability distributions
A probability distribution is a table of all disjoint outcomes and their
associated probabilities.
Ex.
2.1.4 Probability distributions
Probability distributions can also be summarized in bar plots
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1.8 Case study: gender discrimination (special topic)
1.8.1 Variability within data
1970s study: Are females unfairly discriminated against in
promotion decisions made by male managers?
48 male bank supervisors attending a ma
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1.7 Considering categorical data
In this section we will introduce tables and other basic tools for
categorical data
1.7.1 Contingency tables and bar plots
A table that summarizes data for two categorical variables is calle
1/27/16
1.6.4 Variance and standard deviation
Mean is a measure of central tendency.
We know that the mean doesnt completely describe a data
set.
Another measure that helps to describe a data set is the
dispersion or the variability.
The variance
1/27/16
1.6.3 Histograms and shape
One useful aspect of dot plots is that they show how data is
distributed over a range of values:
We see there is a greater proportion of data points in the
range of 0 to 10 than other ranges.
This becomes difficult
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1.4 Observational studies and sampling strategies
1.4.1 Observational studies
Observational study: collected by monitoring what occurs
Experiments: Require the explanatory variable and then observe the
response variable.
Not
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1. Introduction to data
Statistics is a process or method that seeks to answer
questions
Steps are:
1.
2.
3.
4.
State the question
Collect data
Analyze the data
Form a conclusion
1.1 Case Study: using stents to prevent strokes
Classic probl
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1.3 Overview of data collection principles
1st step of statistical process: identify the question to be
investigated.
Once established, it is clear what needs to be studied.
This leads to identifying the population and determining
the sample
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Add. Section II: Counting Tools
The fundamental principle of counting (stated simply): If we have a
ways of doing something and b ways of doing another thing, then
there are a x b ways of performing both actions.
a tree diagram allows to illustrat
201-BZS-05 Fall 2015 Test 1
Name:_
Question 1 (5 points)
A poll is conducted to determine the proportion of Dawson students who have jobs. 150 students are
chosen randomly from each program and are asked if they have jobs.
a. What is the population?
b. Wh
DAWSON COLLEGE
DEPARTMENT OF MATHEMATICS
Fall 2016
Course: 201-BZF-05 C01 Calculus-III
Instructor: Dr. K. T. Santhar (T. Kengatharam)
Office: 6C.7
Local: 1662
Email: [email protected]
Grading policy: 3 class tests (50/3 marks each)
(See the Course outline
Vector Spaces
1.
Consider the space 2 with the following operations:
(x , y ) + (x, y ) = (x + x + 2 , y + y + 3)
a)
b)
c)
2.
k ( x , y ) = (kx , ky )
Find the zero element of the space (if any)
Find the negative element of (3 , 7 )
r r
Is the axiom 1u =
DAWSON COLLEGE
Mathematics Department
Final Examination
201-BZF05 (Calculus III), Sections 00001, 00002, 00003
Winter 2015
Date: May 20, 2015, Time: 14:00 pm ~ 17:00 pm
Examiners: A. AparicioMonforte (B. Seamone), R. Fournier, S. Shahabi.
Name: ID:
a Prin
DAWSON COLLEGE
MATHEMATICS DEPARTMENT
FINAL EXAMINATION
201-BZF-05 CALCULUS III
MAY 2013
Instructors: D. Dubrovsky and R. Fournier
20 questions. 5 marks per question.
1. Compute the radius of convergence:
nne n 2 n
( x e)n .
201 QZT ~05 (Cafculfus III) mz'reea (Bandit
WINTER 2016
CLASS TEST 1 5S SSW .5 5
Name:
ID:
Question I
(20 points)
Determine whether the following series are convergent or divergent. Justify your answers. 201 6291" ~05 (Cafcut'us III) nd'reea Qanait
WIWT
201 (BZT 05 (Cafcufus III) nJreea Qanait
WIWTER 2016
,.Wrm,w
CLASS TEST H 5 w M ,3;
WWWMWWWWX Name:
ID:
Question I
(6 points)
Reparametrize the curve with respect to the arc length measured from the point (0,1,1)
in the direction of increasing t:
/,
r(t
DAWSON COLLEGE
DEPARTMENT OF MATHEMATICS
FINAL EXAMINATION
CALCULUSIII
May 26, 2014 Time: 9:30 arm12:30 am
Instructor: R. Fournier, M. Ishi, T. Kengatharam
Name:
ID:
Instructions:
0 Translation and regular dictionaries are permitted.
a Scientic nonprogr
Dawson College
Mathematics Department
Final Examination
201-NYB-05 Calculus II - Science
Monday, December 20, 2010
Student Name: _
Student I.D. #: _
Teacher: _
Instructors: M. Chaubey, C. Gowrisankaran, Y. Lamontagne
TIME: 14:00 17:00 (3 hours)
INSTRUCTIO
201-NYB-05
Calculus 2 (Science)
Final Exam
May 24, 2012
M. Beck, M. Chaubey (N. Sabetghadam), M. Chaubey (O. Veres),
D. Dubrovsky, L. Frajberg, P. Haggi-Mani, Y. Lamontagne,
V. Ohanyan, B. Seamone, A. Stanciu-Panait, B. Szczepara
Name:
Student ID:
There
Dawson College
Mathematics Department
Final Examination
201-NYB-05 Calculus II - Science
Tuesday, May 24, 2011
Student Name:
Student ID. #:
Teacher:
Instructors: M. Chaubey, D. Dubrovsky, Y. Lamontagne, S. Muise, V. Ohanyan,
J. Requeima, S. Shahabi, S. So
Dawson College Mathematics Department, 201-NYB-05 (Calculus II Science)
Final Examination
December 16, 2014 (2:00PM-5:00PM)
M. Chaubey, Y. Lamontagne, V. Ohanyan
1. (4 marks) Use the limit definition (Riemann sum) to evaluate the following integral.