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Math Tools for Economists/Econ 1078002
·Textbook
(Required)
College Mathematics for Business, Economics, Life Sciences, and Social Sciences
(10^{th}
edition): Raymond A. Barnett, Michael R. Ziegler and Karl E. Byleen
ISBN: 0131432095
Available at the CU bookstore
Note: It must be the 10^{th} edition.
With a different edition , you will not be able to identify the problem sets
covered in the
lectures or by the homework assignments.
(Optional  for those who need extra assistant  not required)
Student Study Pack for College Mathematics for Business, Economics, Life
Sciences,
and Social Sciences: Raymond A. Barnett, Michael R. Ziegler and Karl E. Byleen
ISBN: 0131631705
·Exam Dates
First Midterm Exam: Feb 16 in class (5:00)
Second Midterm Exam: Mar 9 in class (5:00)
Third Midterm Exam: Apr 13 in class (5:00)
Final Exam: Tuesday, May 9, 7:3010:00 p.m. (IN THE EVENING.) (the same room as
usual.)
·Objectives
In this course, Math tools for Economists, we study basic mathematical tools
that
are necessary to understand most of the advanced economic theories. Basic
algebra,
probability and calculus theories will be covered.
Algebraic operations, graphs, and functions are essential if you are going to
study
any of the advanced fields in economics or other social sciences.
Probability theory makes you prepared for courses that use statistics,
econometrics
or economics of uncertainty.
Calculus is necessary to understand the optimization theory in microeconomics.
This course, ECON 1078, is the first course in a twocourse sequence. Thus,
taking
ECON 1088 after finishing it is recommended. In ECON 1088, you will study
applied
calculus.
Before starting the study, please note that:
1) The instructor is a foreigner and a nonnative speaker of English. If you are
particular
about such attributes, please consider taking other courses at the same level.
2) It is desirable that you should be acquainted with highschoollevel
mathematical
techniques such as multiplication , division, or graphical presentation.
·Add/Drop
Admission will be granted according to the waitlist.
Jan 25. –Deadline to add a course without a dean' s signature
Feb 1. –Deadline to drop a course without a dean's signature
In principle, an instructor cannot assign you additional seats when the class is
full.
Schedule
This course covers chapters 19 and appendices of the textbook. Chapters 3 and 8
as well
as Sections 4.24.7, 5.25.6, 6.36.4 and 7.27.4 will be skipped. (Though some
important
topics might be discussed briefly.)
Chapters will be covered in the following way.
Appendices 18 → First Midterm → 1 → (4, 5) → Second Midterm → 2 → (6) → (7) →
Third Midterm → 9 → Final
Tuesday Jan 17 introduction Jan 24 A1/A2 Jan 31 A4 Feb 7 A6 Feb 14 A8 Feb 21 11/12 Feb 28 14 Mar 7 51 Mar 14 21 Mar 21 23 (Mar 28 Spring Break: no class Apr 4 62 Apr 11 75 Apr 18 91/92/93 Apr 25 95 May 2 97 May 9 FINAL EXAM (7:30pm) 
Thursday Jan 19 pretest Jan 26 A3 Feb 2 A5 Feb 9 A7 Feb 16 MIDTERM 1 in class Feb 23 13 Mar 2 41 Mar 9 MIDTERM 2 in class Mar 16 22 Mar 23 61 Mar 30 Spring Break: no class) Apr 6 71 Apr 13 MIDTERM 3 in class Apr 20 94 Apr 27 96 May 4 general review 
Chapter coverage schedule may be changed depending on the
progress.
Appendix:
A1 Algebra and real numbers
A2 Basic operations on polynomial
A3 Factoring polynomials
A4 Basic operations on rational expressions
A5 Integer Exponents
A6 Rational exponents and radicals
A7 Linear Equations and Inequalities in One Variable
A8 Quadratic Equations
– Midterm 1 –
Chapter 1: A beginning Library of Elementary Functions
11 Functions
12 Elementary Functions: Graphs and Transformations
13 Linear Equations and Straight Lines
14 Quadratic Functions
Chapter 4: System of Linear Equations
41 System of Linear Equations in Two Variables
Chapter 5: Linear Inequalities and Linear Programming
51 System of Linear Inequalities in Two Variables
– Midterm 2 –
Chapter 2: Additional Elementary Functions
21 Polynomials and Rational Functions
22 Exponential Functions
23 Logarithmic Functions
Chapter 6: Logic, Sets, and Counting
61 Logic
62 Sets
Chapter 7: Probability
71 Sample Spaces, Events and Probability
75 Random Variable, Probability Distribution , and Expectation
– Midterm 3 –
Chapter 9: Calculus
91 Introduction to Limits
92 Continuity
93 The Derivative
94 Power Rule and Basic Differentiation Properties
95 Derivatives of Products and Quotients
96 General Power Rule (Chain Rule)
97 Marginal Analysis in Business and Economics
·Grading
Basic Rule
There are three midterm examinations before the final examination. They are NOT
cumulative.
In some questions, the derivation processes matter as well as the ultimate
answers.
The final exam is cumulative (all of the semester's topics are covered.)
You can use a scientific calculator in the exam. You cannot use a graphing
calculator.
You cannot see the textbook or notebooks.
All of the exams are out of 100 points.
Homework is assigned after each chapter is covered. Each counts:
15 points  the ones for chapters 1 and 2.
20 points – the ones for appendix.
25 points  the ones for chapter 9.
10 points  the ones for chapter 6 and 7.
2.5 points  the ones for chapter 4 and 5.
In total, you will receive 100 points at maximum.
Hints for solving those assignments will be given in class. Therefore, if you
attend the
classes regularly, your score in “homework” section should be very good.
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