Math 2003
Test D
This part of the Exam is to be done without a calculator
1. Which of the following is the correct graph of y = x - x 3 ?
a)
b)
d)
c)
e)
2. Find all the intercepts of y = 25 x - x 3
a) x-intercept: 0
y-intercepts: 0, -5, 5
b) x-intercepts:
Math 2003
Sample Test I
Show ALL Work!
No Calculator on this Part
NAME: _
1. Find the center and radius of the circle given by the equation
x 2 + y 2 + 6 x 4 y 12 =
0.
2. Let f be the function defined by f ( x ) =
x 2 11x + 18
. The zeros of f, if any, ar
Math 2003
Sample Test I
Show ALL Work!
No Calculator on this Part
NAME: _
1. Find the center and radius of the circle given by the equation
x 2 + y 2 + 6 x 4 y 12 = 0 .
2. Let f be the function defined by f ( x ) =
x 2 11x + 18
. The zeros of f, if any, a
Math 2003
Test D
This part of the Exam is to be done without a calculator
1. Which of the following is the correct graph of y = x x 3 ?
a)
b)
d)
c)
e)
2. Find all the intercepts of y = 25 x x3
a) x-intercept: 0
y-intercepts: 0, -5, 5
b) x-intercepts: -5,
MATH 2003
TEST F
This part of the exam is to be done without a calculator.
1. Find the slope and y intercept (m and b respectively) of the line which passes through
(3, 5) and is perpendicular to y = 1 x 2.
3
(A) m = 1 , b = 6
3
(B) m = 3, b = 4
(D) m = 3
Math 2003 Test E
A calculator is not permitted on this part
1. For the function f ( x ) = 4 x 5 , find lim
h 0
a) 0
b) 1
c)
1
2
f ( x + h) f ( x)
h
d) 20 x 4
2. Which of the following gives the domain of f ( x ) =
a) x 3
b) 3 < x < 3
c) 3 x 3
d) < x < 3 3
MATH 2003 Exam Chapter II
NAME: _
Answer all questions. A calculator is NOT permitted.
SHOW ALL WORK!
2x + 1
1. Find the derivative of y =
.
4x + 5
2. What is the EQUATION of the line tangent to y = 2 x 4 at
3.
SHOW ALL WORK!
(2, f (2)
Find the slope of t
MATH 2003
Test III
SHOW ALL WORK
NAME: _
A calculator is NOT permitted for this part of the exam.
5 6 6
1 3 2
1. If A= 3 0 2 and B= 4 1 0 , find 3 A 2 B .
3 6 4
1 4 3
2. If the dimensions of matrix A are 4 x 3, and the dimensions of matrix B are 3
Part I Additional Sample MTH2003 Final Exam Questions (no calculator)
1. At a cabin rental of $300 per week all 50 cabins at a vacation camp
are rented out. When the rental is $700 per week, 25 cabins are rented
out. If the relationship between the number
BARUCH COLLEGE (CUNY) - DEPARTMENT OF MATHEMATICS
MATH 2003 SYLLABUS
Spring 2008
Textbook: Gordon, Wang and Materowski, Applied Calculus for Business, Economics and Finance,
Pearson 2007, ISBN 0-536-27880-6 or 0-536-46018-3
Graphing calculator required: T
0Rev.01/29/16
Math 2003 Pre-Calculus
Prof. Cadet
Schedule of Weekly Activities
Week1: Feb 1
Sec. 1.1: Review, Linear Functions, Slope; Sec. 1.2 Applications; linear functions.
Week2: Feb 8
Sec. 1.3: Regression; Sec. 1.4 Basic Notions of Functions.
Week3:
EXAM2100 minutes. Support all answers with your work in the space provided. Name_
All problems worth 3 pts., unless stated otherwise. Show ALL work in the space provided, regardless if the question is
multiple choice or free response. [Correct answer alon
Example1: (Finding a Distance) A football quarterback throws a pass from 28-yard line, 40
yards from the sideline. The pass is caught by a wide receiver on the 5-yard line,20 yards from
the same sideline. How long is the pass?
Example 2:( Midpoint) Barnes
Polynomial Graphing Principles and Techniques-Zambrano
A polynomial function is a function of the form
f ( x )=a x n +b x n1+ +c , where the powers are
non-negative whole numbers.
Generally, polynomial functions are curvy functions whose graphs have a num
EXAM170 minutes. Zambrano
Name_ All problems worth
3 pts., unless stated otherwise. Show ALL work in the space provided, regardless if the question is multiple choice or
free response. [Correct answer alone will NOT receive credit.]
1. What is the equatio
MATH 2003
TEST A
This part of the exam is to be done without a calculator.
x2 x 2
1. Find lim
x2
x2
a) 3
b) 4
c) 0
d) 1
e)
x + 1 if x < 0
2. Given f ( x ) =
, find lim f ( x ) if it exists.
x 0
x 1 if x 0
a) 0
b) 1
c) -1
d) it does not exist
2+ x
1 x
MATH 2003
Test B
This part of the exam is to be done without a calculator
1. The slope of the line tangent to the curve 3 x 2 2 xy + y 2 = 11 at the point (1, 2 )
is
a)
1
6
2.
a) -2
b) 0
c) 1
x 2 25
=
lim 2
x5 x 15 x + 50
b) -1
c) 0
5
3
e)10
d) 1
e) 2
d)
MTH 2003 TTRA
Quiz 1 (1.1 1.4)
Fall 2015
NAME(S): 1. _ 2. _
3. _ 4. _
You are encouraged to work with one or two students as a group, but no more than three. Show all the
work in an organized manner for multiple-choice as well as written questions. Unclea
BARUCH COLLEGE
DEPARTMENT OF MATHEMATICS
TTRA (10897) COURSE POLICY FALL 2015
MTH 2003 Precalculus and Elements of Calculus
Class Meeting: TTH: 7:45 9:25 PM Room: B 10130
Instructor: Kikuno Nonoyama Email: kn2170@caa.columbia.edu, kikuno.nonoyama@baruch.c
BARUCH COLLEGE
DEPARTMENT OF MATHEMATICS
TTRA (10897) COURSE POLICY FALL 2015
MTH 2003 Precalculus and Elements of Calculus
Class Meeting: TTH: 7:45 9:25 PM Room: B 10130
Instructor: Kikuno Nonoyama Email: kn2170@caa.columbia.edu, kikuno.nonoyama@baruch.c
MTH 2003
1.8 Economic Functions (P.165)
Demand, Supply Functions and Market Equilibrium
The demand for a product is the amount that buyers are willing and able to purchase. The supply of a product is the amount that producers are willing and able
to bring
PARENT FUNCTIONS
f (x) = a
f (x) = x
f (x) = x
f (x) = int ( x ) = [ x ]
Constant
Linear
Absolute Value
Greatest Integer
f (x) = x 2
f (x) = x 3
Quadratic
Cubic
Square Root
f (x) = log a x
1
f (x) =
x
Logarithmic
Reciprocal
f (x) = a
x
Exponential
f (x) =
MTH 2003
1.
Name: _
Please write your email address.
Email (Please print): _
2.
Are you a transfer student? (Yes, No) I am a freshman, sophomore, junior or senior. This is my
_ semester at Baruch College.
3.
What is your major and minor?
4.
What is your a
MTH 2003
1.7 The Circle (P.151)
Fall 2015
Write an equation of the circle with the given center and radius.
EX 1. the origin; 4 7
EX 2. (2, 4); 6
a) ( x 2) 2 ( y 4) 2 36
b) ( x 2) 2 ( y 4) 2
c) ( x 2) ( y 4) 6
d) ( x 2) ( y 4) 36
2
2
2
6
e) ( x 2) 2 ( y
MTH 2003
1.5 Quadratic Functions Parabolas (P.109)
EX 1. Graph
f ( x) x 2 2 x 3
EX 2. Based on #17 (P.133)
A. Graph
f ( x ) 2 x 4 x 8
2
. Find the domain and range of the function.
using a graphing calculator.
B. Find x-intercept(s).
EX 3. Using a graphin
MTH 2003
1.1 The Line
EX 1. Graph y 2 x 1 .
EX 2. Graph y 2 x 1 and y 2 x 5 on the same set of axes.
EX 3. Graph y 2 x 1 and y
1
x 3 on the same set of axes.
2
MTH 2003
1.1 The Line
EX 4. #15 (P.58)
Find the equation of the line with the slope of 4.1 and
MTH 2003
1.2 Applications of Linear Functions
Business Applications Break-even Analysis & Depreciation
Fixed Cost [FC] / Overhead Cost that must be paid whether or not any units are produced or purchased such as rent, insurance, and etc
Marginal Cost [MC]
Math 2003 Calculator Active Problems
(Answers and Text references at the end)
1. The cost of producing x units of a certain item is c ( x ) = 2000 + 8.6 x + 0.5 x 2 . What is the
average rate of change of c with respect to x when the level of production g
Math 2003
Test C
This part of the exam is to be done without a calculator
1. The smallest domain that is needed to show the entire graph of f ( x ) = 100 x 2
on a graphing calculator is
a) 10 x 10
b) 5 x 5
d) 0 x 5 e) 100 x 100
2.
a)
b)
c)
d)
e)
c) 0 x 10
KA LIM EXTRA CREDIT
EXAM #1
1. An equation of a vertical line has an equation of x = a # where the line crosses the x axis. In question
1 the point (3, 7) has an x value of 3, given that a vertical line crosses the x-axis at a given point the
equation of