A+B+C - Manhattan College

exhaustedcrumMechanics

Oct 24, 2013 (4 years and 17 days ago)

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Exam Specifications



Mathematics





15%


Engineering Probability and Statistics

7%


Chemistry





9%


Computers





7%


Ethics and Business Practices



7%


Engineering Economics



8%


Statics and Dynamics




10%


Strength of Materials




7%


Material Properties




7%


Fluid Mechanics




7%


Electricity and Magnetism



9%


Thermodynamics




7%



Prof. Gennaro J. (
Jerry
) Maffia


Dartmouth College, D.E. 1988

New York University, M.B.A. 1977


After twenty years of industrial experience with large multinational companies,
Dr. Maffia is presently Professor of Chemical Engineering at Manhattan College
and Adjunct Professor of Chemical Engineering at Drexel University. He is also
Professor Emeritus at Widener University.


Dr. Maffia is a member of many professional and honor societies. His research
interests include the development of environmental remediation technologies
bases on water retention properties of unraveled bovine hide collagen.


Dr. Maffia offers training courses throughout the world in topics related to
process engineering


GJM
-

current


Professor of Chemical Engineering


Manhattan College


Professor Emeritus of Chemical Engineering


Widener University


Adjunct Professor of Chemical Engineering


Drexel University

GJM Collagen Research

1985
-
1988 Dartmouth College

1988
-
1992 Verax, Inc.

1992
-
2010 Collagen Research Group


(Widener U & USDA)

2010
-
present Manhattan College & USDA

Prof. Gennaro J. (
Jerry
) Maffia



Education:


Dartmouth College, D.E. 1988

New York University, M.B.A. 1977

Manhattan College, M/Ch.E. 1973

Manhattan College, M/Ch.E. 1972




Prof. Gennaro J. (
Jerry
) Maffia



Teaching:


Manhattan College, 2010
-

Drexel University, 1992
-

Widener University, 1992
-

2010


Short Courses and Training:



various venues, 1993
-

2010




Prof. Gennaro J. (
Jerry
) Maffia




Major Industrial Experience:


CE Lummus, 1973
-
1979

ARCO Chemical, 1979


1991


Consulting 1993


current


(100+ assignments)



Prof. Gennaro J. (
Jerry
) Maffia



Contact:


gjmaffia@widener.edu

gjm29@drexel.edu

gennaro.maffia@manhattan.edu



Website:


http://quantum.soe.widener.edu:281/gjm.htm




Founded in 1821, Widener
University is a multi
-
campus,
independent, metropolitan
university. It offers

a student
-
centered learning environment
where course work connects to
societal issues. Dynamic teaching,
active scholarship, personal
attention, and experiential
learning are key components of
the Widener experience.



The university provides a unique
combination of liberal arts and
professional education through
its eight schools and colleges.



2010 Senior Project: Lindsay, Derek, and Elliott

Teppicha Vityanatpaisal and

family with Prof. Maffia at

Widener University graduation

ceremony May, 2010

Teppicha Vityanatpaisal with Prof. Maffia at

Widener University graduation ceremony May, 2010

BEGINNING OF MATHEMATICS

Problem 1



TOPIC:

Units (pg 19,20)


A petroleum fraction has a viscosity of 2.7
cP

and a density of 0.77 g/ml


Questions


(a)
Please calculate the viscosity in Pa s


(b)
Please calculate the viscosity in
lbm
/(ft h)


(c)
Please calculate the kinematic viscosity in ft
2
/h


(d)
Please calculate the kinematic viscosity in m
2
/s

Problem 2



TOPIC:

Units (pg 19,20)


The production rate of a methanol plant is 200e6 gallons per year;

methanol has a density of 0.79 g/ml


Questions


(a)
How many barrels per year are produced?


(b)
How many kilograms per year are produced?


(c)
How many pounds per year are produced?


(d)
How many liters per year are produced?

Problem 3



TOPIC:

Mathematics (page 21)


Given the following equation:




x
2



5x +6 = 0


Questions


(a)
What are the roots of this equation?


(b)
Factor the equation into its linear parts.


(c)
If some of the signs on the function were reversed as follows what would



be true about the roots of the equation?






x
2

+ 5x
-

6 = 0

Problem 4



TOPIC:

Mathematics (page 21)


Given the following equation:






y = x
2



5x +6


(a)

What is the geometric form of this equation?


(b)
What best describes the direction of the shape?


(c)
What are the x intercepts?


(d)
What is the y intercept?

Problem 5



TOPIC:

Mathematics (page 21)


Given the following equation:








(a)

What is the geometric form represented by this equation?


(b)
What point is the center of the shape?


(c)
What is the x intercept?


(b)
What is the y intercept?

Problem 6



TOPIC:

Mathematics (page 22)


Using the general form of the conic section equation:







What is the shape described in each of the following cases:


(a)

B=1, A=1, C=1


(b)
B=5, A=1, C=1


(c)
B=
-
2, A=1, C=1


(d)
B=0, A=0, C=0

Problem 7



TOPIC:

Mathematics (page 22)


The
Haaland

equation for the Fanning friction factor is given as:













(a) If k = 3.6 for log base 10 what is the value of k for log base e


(b)
If Reynolds Number (Re) is 1e5 and roughness factor is 0.0003 ft,



find the Fanning friction factor for a 35 mm internal diameter


Problem 8



TOPIC:

Mathematics (page 22)


Simplify the following equations by taking the natural logarithm of both sides:




(a)



(b)



(c)



(d)


Problem 9



TOPIC:

Mathematics (page 23)


If possible, please perform the indicated operations to simplify

the following complex numbers:



(a)

(4+3i)+(3
-
2i)



(b)


(4+3i)
-
(3
-
2i)



(c)


(4+3i)(3
-
2i)



(d)


(4+3i)/(3
-
2i)


Problem 10



TOPIC:

Mathematics (page 23)


Given matrices A, B and C please perform the indicated operations:






(a)

A+C



(b)


B
-
C



(c)


AB



(d)


Determinant (A) =
det

(A)


Problem 11



TOPIC:

Mathematics (page 23,24)


Given matrices A, B and C please perform the indicated operations:








(a)

Transpose (B)



(b)


4D



(c)
Determinant (C), |C|



(d)

Determinant (D), |D|




Problem 12



TOPIC:

Mathematics (page 24)


Given velocity vectors A, B and C please perform the indicated operations:


A

=x
i
+ 5y
j
-

6x
k; B

=
z
i

+ 3z
j


2x
k; C

=1x
i
+ 2y
j


3z
k



(a)

A
-

C



(b)

A+B+C


(c)

A
.
B



(d)

AxB




Problem 13



TOPIC:

Mathematics (page 24)


For (a), (b), and (c) given velocity vectors A, B and C please perform

the indicated operations:


A

=x
i
+ 5y
j
-

6x
k; B

=
z
i

+ 3z
j


2x
k; C

=1x
i
+ 2y
j


3z
k



(a)




(b)



(c)






Problem 14



TOPIC:

Mathematics (page 24)


Given velocity vectors A, B and C please perform the indicated operations:




(a)



(b)





Problem 15




TOPIC:

Mathematics (page 25)


Find the next term in each of the following series the following series:



(a)

0,1,1,2,3,5,8,13......



(b)

2,3,4,6,9,13,19.......



(c)




(d)

What is the value of the 67
th

term in this series





Problem 16




TOPIC:

Mathematics (page 25)


Find the first 4 terms in the
MacLaurin

Series expansion for the following functions:



(a)

sin(x)



(b)

x sin(x)



(c)
e
x




(d)


xe
x


Problem 17




TOPIC:

Mathematics (page 27)


Please evaluate the following definite integrals:



(a)






(b)




(c)

Problem 18




TOPIC:

Mathematics (page 27)


Please evaluate the following definite integrals:



(d)






(e)




(f)

Problem 19




TOPIC:

Mathematics (page 27)


Please perform the indicated partial differentiations:



(a)






(b)





(c)

END OF MATHEMATICS