April 2nd , 2009
Econ 1078 Math Tool I
Midterm #2
Your Name (Please PRINT): _
Directions:
There are 10 questions, each worth 10 points, for a total of 100 points. Show all of your
work. No graphing calculators are allowed. You must use only the sheets pro
Inclassassignment1
1. Rationalizethedenominatorsandsimplify
=
=
=
2. Completethefollowing:
3
3,and
?
3
3Considerthemacromodel
Y C I G,C b Y T ,T tY
wherebandtareparameters.Tdenotestaxes,andGisgovernmentexpenditure.
ExpressYintermsof I, Gandtheparameters.
Problem Set 3
1. From your book
If you are using the 2nd edition:
P44: 1,2
P46: 2
P49:5
P51:2,4
P54:3,6,7
If you are using the 3rd edition:
P45: 1,2,5
P47:2,4
P50: 3,6,7
2. Solve the following equation of y in terms of x and z
3. Youd better review the pr
Feb. 11th, 2009
Econ 1078: Math Tool I
Midterm #1
Your Name (Please PRINT): _
Directions:
There are 10 questions, each worth 10 points, for a total of 100 points. Show all of your
work. No graphing calculators are allowed. You must use only the sheets pro
Feb. 11th, 2009
Econ 1078: Math Tool I
Midterm #1
Your Name (Please PRINT): _
Directions:
There are 10 questions, each worth 10 points, for a total of 100 points. Show all of your
work. No graphing calculators are allowed. You must use only the sheets pro
Econ 1078_003
Spring 2009
Quiz 2 (20 Points)
Show Your Work!
First Name_ Last Name_-
1. Solve the following equation of x in terms of y and z
2. A firm produces two goods: F and G. In the previous year, the output of good F is
25% lower than the output of
Econ 1078_003
Spring 2009
Quiz 2 (20 Points)
Show Your Work!
First Name_
Last Name_-
1. Solve the following equation of x in terms of y and z
2
4
2
1
4
4
4
2
1
4
2
2
2
4
4
4
4
4
2. A firm produces two goods: F and G. In the previous year, the output of go
A note about LCD:
Steps for solve equations with many fractions and with unknown variables on the
denominators.
1. Get the least Common Denominator (LCD)
2. Change each fraction using the LCD, and then do the relative change to
numerators.
3. Apply rules
AnoteaboutLCD:
Steps for solve equations with many fractions and with unknown variables on the
denominators.
1. GettheleastCommonDenominator(LCD)
2. Change each fraction using the LCD, and then do the relative change to
numerators.
3. Applyrulesofalgebrat
ECON 1078-003 Handout 7
Inequalities
1.
If a is positive number, then we write a>0.
If a is negative number, then we write a<0.
a>b means that a-b>0: a is strictly greater than b.
ab means that a-b0: a is greater or equal to b.
2. Properties.
(1) a>b & b>
ECON 1078 Homework Assignment #2
Please email your instructor with suggestions and corrections - thanks
1. Give an example of an irrational number.
A: For example:
,
1. Determine whether the following numbers are rational or irrational.
a. 0.8
_
b.
_
c.
_
ECON 1078 Homework Assignment #1
Exponentials
Combine into a single fraction and reduce it to the lowest terms
1.
A
2.
A
3. Perform the indicated operation. Express your final answer as a single, fully reduced,
simple fraction with positive exponents. Be
Econ 1078 Math Tool I Final Exam Your Name (Please PRINT): _
Directions:
Dec 15th, 2008
There are 17 questions and three parts with respect to Midterm 1, Midterm 2, and After Midterm 2 materials separately. Show all of your work. No graphing calculators a
Feb 12th, 2009
Econ 1078-002: Math Tool I
Midterm #1
Your Name (Please PRINT): _
Directions:
Give the best answer for the following questions.
Show all your work to get full credits.
No graphing calculators are allowed. Use the attached scratch paper only
May 5th, 2009
Econ 1078 Math Tool I
Final Exam
Your Name (Please PRINT): _
Directions:
There are 17 questions and three parts with respect to Midterm 1, Midterm 2, and After Midterm
2 materials separately. Show all of your work. No graphing calculators ar
Econ 1078: Math Tool I
Basic Algebraic Operations
Directions:
There are 8 questions and 100 points total. Give the best answer for the following questions.
Show all your work instead of just putting down the answer. If you are unable to do a problem,
you
ECON 1078 Homework Assignment #3
Factoring and rational expressions:
1.
1. Evaluate the following numerical expressions
_
A5
2.
Order of operations: polynomials:
1. Indicate true or false for the following two expressions. If false provide a counterexampl
Econ 1078 Math Tools for Economists I
Spring 2014 Section 002
MWF 2:00 - 2:50 HUMN 135
Instructor: Tim Larsen
E-mail: timothy.larsen@colorado.edu
Office: Econ 309A (3rd floor of the Econ Building)
Office Hours: Tuesday 10:30-11:30, Wednesday 3:00-4:00 and
Name: _
_
ID:
There are 8 problems and 100 points in total.
You have 50 minutes to finish them.
GOOD LUCK
1.a (2) One of the following is false, indicate by letter which one: _
A) 4 cfw_3, 4,5, 6
B) 4 cfw_3, 4,5, 6
C) cfw_4 cfw_3, 4,5, 6
D) 4 cfw_3, 4,5,
Spring 2007
May 7th, 2007
ECON 1078 Math Tool for Economists I
Final Examination
Name: _
Your instructor (Please check):
_ ECON 1078-001: Yiting An
_ ECON 1078-003: Mariya Burdina
_ ECON 1078-004: Watcharapong Ratisukpimol
Directions:
There are 12 questio
ECON 1078 Basic Algebra Assignment
Rational exponents
1. Simplify:
A
2. Write in the simplest radical form.
A
3. Evaluate the following numerical expressions
_
A4
4. Perform the indicated operation. Express your final answer as a single, fully reduced,
si
ECON 1078-003 Handout 8
Summation Notation:
Abbreviated Notation
Eg1: N1+N2+N3+N4=
Eg2: There are 975 occupation categories in U.S, and Ni persons in each occupation i.
Use summation notation to show the total employment.
Generally, we have
Two special c
In class assignment 1
1. Rationalize the denominators and simplify
=
=
=
2. Complete the following:
, and
3. Consider the macro model
where b and t are parameters. T denotes taxes, and G is government expenditure.
Express Y in terms of and the parameters.
Problem Set 2
From the book,
If you are using the 2nd Edition:
P22: 4, 5
P25: 9,10,11
P40: 2,3,4,5
P42: 2,4
If you are using the 3rd Edition:
P23: 4,5,9,10,11
P37: 2,3,4,5
P40: 2,4