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CO 250 Sample Midterm
Question 1 (15 marks). Formulation
Consider the following table indicating the nutritional value of different food types.
Foods
Price
Calories
Cholesterol (mg)
Fat (g)
Protein (g)
per serving per serving
per serving
per serving per s
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AMATH 350
Assignment 3
Winter 2016
The assignment is due Tuesday, October 4th, at the beginning of the lecture.
Late submissions will not be accepted.
1. Find the solutions of the following DEs or IVPs.
(a) t3 y 0 + 4t2 y = e t ,
2
0
y( 1) = 0,
2
(b) (1
AMATH 350
Assignment 2
Fall 2016
The assignment is due Tuesday, September 27th, at the beginning of the lecture.
Late submissions will not be accepted.
1. Are the following DEs separable, linear, neither or both?
(a) x0 = tx
(d)
(b) y 2 (1
dy
2y x
=
dx
y
AMATH 350
Assignment 5
Winter 2017
The assignment is due Monday, February 27, at the beginning of the lecture.
Late submissions will not be accepted.
1. Find the general solutions of the following DEs and IVP
(a) y 4y + 4y = e2x ,
y(0) = 1, y (0) = 0 [Op
AMATH 350 - Midterm Exam Page 2 of 10 . Initials:
1. In a commodity price model, suppose that the demand and supply functions are given by
D(p) = 10 51% and S (t) = 106 500, respectively, where p = p(t) is the commodity price
(measured in dollars) at ti
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AMATH 350
Assignment 1 (Review)
Winter 2017
NOT FOR SUBMISSION
1. Evaluate the following integrals
(a)
3t sin(2t2 )dt
(b)
1
dx
1 + 2x2
(c)
2
du,
2
u 5u + 6
(d)
cot()d
2. Determine if the following improper integrals converge
0
(a)
1
dt
1 + t2
(b)
1
e x
d
AMATH 350
Assignment 7
Winter 2017
The assignment is due Monday, March 20, at the beginning of the lecture.
Late submissions will not be accepted.
1. Find the solutions of the following Boundary-Value Problems using Partial Integration
(a) uux sin x = 0,
AMATH 350
Assignment 6
Winter 2017
The assignment is due Friday, March 10, at the beginning of the lecture.
Late submissions will not be accepted.
1. Show that the set of following functions are linearly independent.
( )
(
)
1
1
x
e ,
e2x .
2
2
2. Consid
AMATH 350
Assignment 9 (Not due)
Fall 2016
This assignment largely covers the materials discussed in the class.
No solutions will posted as they are explained in the class.
1. Let the price of an asset, S(t), satisfy the stochastic differential equation (
AMATH 250
ASSIGNMENT 6: More Oscillating Fun.
Fall 2016
Submit your work before noon on Friday, November 4th in the correct drop slot across
the hall from MC 4066.
1. We wish to find a particular solution of the DE
Y 00 + 2Y 0 + Y = cos( ).
(2)
Z 00 + 2Z
AMath 250, F16
Assignment 7: selected solutions
Page 1 of 5
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AMath 250, F16
Assignment 6: selected solutions
Page 1 of 4
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AMATH 250
ASSIGNMENT 9: Solving Vector DEs
Fall 2016
NOTE THE NEW SUBMISSION DAY! Submit your work before 4pm on Thursday,
November 24th in the usual place.
1. Find the general solution of each vector DE using the eigenvalue method.
3 2
1 4
0
0
i) x =
x
i
AMath 250, F16
Assignment 8: Selected Solutions
Page 1 of 4
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to download
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AMath 250, F16
Assignment 5: Selected Solutions
Page 1 of 3
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and make
1. sure that JavaScript is enabled. You will likely need to download the file fir
AMath 250, F16
Assignment 9 solutions
Page 1 of 1
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theninright
AMATH 250
ASSIGNMENT 8: More Laplace Transforms
Fall 2016
Submit your work before noon on Friday, November 18th in the usual place.
1. Consider a population y(t) which undergoes exponential growth with growth factor k.
Starting at time t = 0, the populati
AMATH 250
ASSIGNMENT 7: Laplace Transforms
Fall 2016
This assignment is not due in. Instead, there will be a quiz on this material during lecture
on Friday, November 11th. Be sure to attend the correct section or else you will receive
a grade of zero.
1.
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AMath 350
Assignment #2
Winter 2015
due Monday, January 19th
Hand in #2, 6 and 7.
1. Are the following equations separable, linear, neither, or both?
a)
b)
c)
d)
e)
f)
2.
dy
= y + ex
dx
dy
= ex sin(y)
dx
dy
= 5y 2
dx
dy
= x y2
dx
dy
x2
=y
dx
dy
y
=x
dx
a)
Assignment 1 - Review material.
Not to be handed in
Linear algebra
are the unit basis vectors of the Cartesian coordinate system.
Notation: (i, j, k)
~ of a particle of mass m is defined by H
~ = ~r (m~v ), where ~v =
1. The angular momentum vector H
~
University of Waterloo
AMath 350
Midterm Examination
Winter 2014
Friday February 28th , 4:00-5:30pm or 5:00-6:30pm (90 minutes)
Name (print):
I.D. Number:
Signature:
Closed book.
MARKS
Question
Marks Available
1
7
2
8
3
16
4
9
5
10
6
10
Total
60
Marks Awa