# Math Tools for Economists/Econ 1078-002

·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: 0-13-143209-5

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: 0-13-163170-5

·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, 7:30-10:00 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 two-course 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 non-native 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 high-school-level
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 1-9 and appendices of the textbook. Chapters 3 and 8
as well

as Sections 4.2-4.7, 5.2-5.6, 6.3-6.4 and 7.2-7.4 will be skipped. (Though some
important

topics might be discussed briefly.)

Chapters will be covered in the following way.

Appendices 1-8 → First Midterm → 1 → (4, 5) → Second Midterm → 2 → (6) → (7) →

Third Midterm → 9 → Final

Tuesday Jan 17 introduction Jan 24 A-1/A-2 Jan 31 A-4 Feb 7 A-6 Feb 14 A-8 Feb 21 1-1/1-2 Feb 28 1-4 Mar 7 5-1 Mar 14 2-1 Mar 21 2-3 (Mar 28 Spring Break: no class Apr 4 6-2 Apr 11 7-5 Apr 18 9-1/9-2/9-3 Apr 25 9-5 May 2 9-7 May 9 FINAL EXAM (7:30pm) |
Thursday Jan 19 pre-test Jan 26 A-3 Feb 2 A-5 Feb 9 A-7 Feb 16 MIDTERM 1 in class Feb 23 1-3 Mar 2 4-1 Mar 9 MIDTERM 2 in class Mar 16 2-2 Mar 23 6-1 Mar 30 Spring Break: no class) Apr 6 7-1 Apr 13 MIDTERM 3 in class Apr 20 9-4 Apr 27 9-6 May 4 general review |

Chapter coverage schedule may be changed depending on the
progress.

Appendix:

A-1 Algebra and real numbers

A-2 Basic operations on polynomial

A-3 Factoring polynomials

A-4 Basic operations on rational expressions

A-5 Integer Exponents

A-6 Rational exponents and radicals

A-7 Linear Equations and Inequalities in One Variable

A-8 Quadratic Equations

– Midterm 1 –

Chapter 1: A beginning Library of Elementary Functions

1-1 Functions

1-2 Elementary Functions: Graphs and Transformations

1-3 Linear Equations and Straight Lines

1-4 Quadratic Functions

Chapter 4: System of Linear Equations

4-1 System of Linear Equations in Two Variables

Chapter 5: Linear Inequalities and Linear Programming

5-1 System of Linear Inequalities in Two Variables

– Midterm 2 –

Chapter 2: Additional Elementary Functions

2-1 Polynomials and Rational Functions

2-2 Exponential Functions

2-3 Logarithmic Functions

Chapter 6: Logic, Sets, and Counting

6-1 Logic

6-2 Sets

Chapter 7: Probability

7-1 Sample Spaces, Events and Probability

7-5 Random Variable, Probability Distribution , and Expectation

– Midterm 3 –

Chapter 9: Calculus

9-1 Introduction to Limits

9-2 Continuity

9-3 The Derivative

9-4 Power Rule and Basic Differentiation Properties

9-5 Derivatives of Products and Quotients

9-6 General Power Rule (Chain Rule)

9-7 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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