Math 232 Quiz 2
1.
Name:_
Simplify the following, if possible:
a)
[ ] []
b)
[
2
1
1 +3 3
3
1
[1]
][ ]
2 1 3
3 1
1 1
1 1 2
2
1 2 2 1
2. Suppose that
A
and
B
are invertible. Solve the equation for
[2]
E
Math 232 Quiz 6
Name:_
1. Determine if the following transformation is one-to-one and/or onto.
T
([ ]) [
x+y
x
x +2 yz
y =
2 x+ y+ z
z
3 x +2 y+ z
]
2. Determine if the two vectors u and v
are orthogo
1. SHORT ANSWER
a) Determine if the following set of polynomials is linearly independent and justify your answer.
[2]
cfw_ ( 2 x8 ) , ( 4x )
cfw_[ ] [ ] [ ] [ ] [ ]
1
2 1
0
1
0
1 1
1
0
b) Find a basi
1. SHORT ANSWER each question is worth [2 marks]
a) Solve the following system of equations:
x+ 3 y =5
3 x y=5
b) Find the value(s) c
so that the following system of equation has no solution:
cx9 y =3
1. SHORT ANSWER each question is worth [2 marks]
a) Find a and b so that
b) If
[] [ ]
a = 2
b 1
=3 is an eigenvalue for
where
A , then show that
is the basis
cfw_[ ] [ ]
0 , 2
1 1
=7 is an eigenvalue
1. SHORT ANSWER
a) Solve for
x and
[
][ ] [ ]
[10]
y
1 2 x = 0
1 3 y 5
b) Evaluate.
[
T
] [
]
][
]
1 3
1 1
+2
0 2
2 5
c) Evaluate.
[
2 1 1 2 3
3 1 2
0 1
d) If det (A )=2 and det ( B )=4 , evaluate de
Math 232 Worksheet 3
Name:_
1. The following nutritional information is given for a single serving of Rice, Broccoli, and Chicken.
Nutrient
Rice
Broccoli
Chicken
Calories
200
50
70
Protein (g)
4
5
15
Math 232 Worksheet 2
Name:_
1. Determine the number of solutions for each of the following systems of equations (you do not have to
actually solve the equations).
a) [
| ]
b) [
| ]
c) [
| ]
2. Determi
Math 232 Worksheet 22
Name:_
1. Find the dot product of the following pairs of vectors and determine if they are orthogonal.
and
a)
b)
and
2. Find the length of the following vector and find a u
Math 232 Worksheet 23
1. Find the cross product of the following pairs of vectors in
a)
[
]
[ ]
b)
c) [
and
]
[
]
Name:_
2. Find the equation of the following planes:
a) Orthogonal to
b) Through the p
Math 232 Worksheet 1
Name:_
1. Solve the system of equations using augmented matrices
a)
b)
2. Construct two different augmented matrices for linear systems whose solution set is:
,
, and
.
Calculus for Business I 104
Midterm # 1
Tuesday July 28‘“, 2015
Instructor: Keira Gunn
Name: fa! (YO/13
Student Number
You have 80 minutes to complete the examination.
No cell-phones or electronic dev
Calculus for Business I 104
Midterm # 2
Tuesday August 11th, 2015
Instructor: Keira Gunn
Name:
Student Number
.
.
You have 80 minutes to complete the examination.
No cell-phones or electronic devices
Calculus for Business I 104
Midterm # 2
Wednesday November 25th, 2015
Instructor: Keira Gunn
Name:
Student Number
.
.
You have 60 minutes to complete the examination.
No cell-phones or electronic devi
Calculus for Business I 104
Midterm # 1
Tuesday July 28th, 2015
Instructor: Keira Gunn
Name:
Student Number
.
.
You have 80 minutes to complete the examination.
No cell-phones or electronic devices ot
Alexander College
Math 102 B/C: Differential Calculus with Applications to
Commerce and Social Sciences
COURSE OUTLINE: 2015 Fall Semester (TU Sept 8-Mon Dec
14, 2015; Exam: Tu Dec 15-Sat Dec 19)
Math
MATH 105
Fall 2013
Integral Calculus with Applications to
Commerce and Social Sciences
List of Textbook Exercises
The following list of exercises from the textbook by Lial, Greenwell, and Ritchey: Cal
MATH 105
Winter 2013
Integral Calculus with Applications to
Commerce and Social Sciences
Schedule of Lectures (tentative) and Exams
Week
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Date
Sep 3
Sep 5
Sep 10
Sep
What your paper should NOT look like
Margins are ignored.
1) a;lkasdkfj
2) ;aldksfja
3) a;lsdkfj
4) dkfjie dkfj;iefj;l
5) alkjd;ie;m;dkf
Top and left margins are respected.
Problems are squeezed
toget
-Homework Guidelines for Mathematics Mathematics is a language, and as such it has standards of writing which should be observed. In a
writing class, one must respect the rules of grammar and punctuat
Section 5
More Applications
Keira Gunn
Math 151 Alexander College
5.1 Absolute Extrema
Closed and Bounded Intervals
Single Critical Point Theorem
5.2 Optimization
5.3 Linear Approximation
Differential
Section 4
Graphs and the Derivative
Keira Gunn
Math 151 Alexander College
4.1 Local Extrema
Intervals of Increase and Decrease
Critical Numbers
Local Extrema
First Derivative Test for Local Extrema
4.
Chapter 3
Applications of Derivatives
Keira Gunn
Math 151 Alexander College
3.1 Related Rates
Related Rates
Strategies for Solving Related Rates Problems
3.2 Exponential Growth and Decay
Differential
Chapter 2
Rules for Differentiation
Keira Gunn
Math 151 Alexander College
2.1 Derivatives of Polynomials and Exponentials
Notation
Constant Rule
Power Rule
Sum of Functions
Exponentials
2.2 Product Ru
Section 1
Limits, Continuity, and Rates of Change
Keira Gunn
Math 151 Alexander College
1.1 Limits
Limits
Limit laws
Squeeze Theorem
1.2 Continuity
Piecewise Functions
Intermediate Value Theorem
1.3 L