# Introductory Mathematical Analysis

## Course Introduction

This course is designed for students who have completed
the equivalent of one and a half years of high

school algebra. The textbook emphasizes computational skills, ideas, and
problem- solving for business ,

economics, life sciences, and social sciences. Proofs of mathematical theories
are omitted except

where their inclusion is necessary. This course will prepare you to take MATH
1331, Introductory

Mathematical Analysis (Calculus for Business), or any introductory statistics
course. This course will

increase and reinforce your algebra skills by emphasizing the manipulation of
formulas, the graphing of

functions and the extensive use of problem-solving. Topics in this course
include an algebra review,

functions and their graphs, systems of linear equations and inequalities, linear
programming, interests,

annuities, probability, and data description.

## Prerequisites

None

## Textbook and Materials

The required textbook for this course is

Barnett, Raymond A.; Zieglar, Michael R.; and Byleen, Karl E. (2005), College
Mathematics for

Business, Economics, Life Sciences, and Social Sciences (10th ed.).
Prentice-Hall, Inc.

ISBN 0-13-143209-5

You will also need a graphing calculator .

## Course Organization

This course contains nine lessons and one final exam.

## Grading

The course grade is based on eight assignments worth 100
points each, and 100 points for the final

exam. To be successful in this course, you must send in your lesson assignments
regularly. To

encourage you, I will add 10% (bonus points) to your lesson scores if you
complete your course within

five months of your enrollment date.

Your final grade for the course will be determined as follows:

Lesson scores (plus 10% if you

finish within five months): 30%

Final examination score: 70%

## Lessons

**Lesson One: A Beginning Library of Elementary Functions**

Reading Assignment: Chapter 1, sections 1.1 through 1.4

Graded Assignment

** Lesson Two : Additional Elementary Functions**

Reading Assignment: Chapter 2, sections 2.1through 2.3

Graded Assignment

**Lesson Three: Mathematics of Finance**

Reading Assignment: Chapter 3, sections 3.1 through 3.4

Graded Assignment

**Lesson Four: Systems of Linear Equations **

Reading Assignment: Chapter 4, sections 4.1 through 4.3

Graded Assignment

**Lesson Five: Matrices**

Reading Assignment: Chapter 4, sections 4.4 through 4.6

Graded Assignment

**Lesson Six: Linear Inequalities and Linear Programming
(A Geometric Approach)
**Reading Assignment: Chapter 5, sections 5.1 and 5.2

Graded Assignment

**Lesson Seven: Sets and Counting**

Reading Assignment: Chapter 6, sections 6.2 through 6.4

Graded Assignment

**Lesson Eight: Sample Space, Events, and Probability**

Reading Assignment: Chapter 7, sections 7.1 and 7.2

Graded Assignment

**Lesson Nine: Conditional Probability, Bayes’ Formula ,
and Probability Distribution **

Reading Assignment: Chapter 7, sections 7.3 through 7.5

Graded Assignment

**Final Exam**

**Exam**

The final examination will be similar to the assigned
problems and will allow the use of a graphing

calculator and a 3” × 5” formula card that you prepare before you take your
final examination.

For the assignments and problems on the final examination,
the instructor will give partial credit if the

work warrants it. Also, the instructor won’t penalize you if your answer follows
from an earlier misstep.

**You must pass the final in order to pass the course.**

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