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# 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.

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.

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.

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

Lesson Two : Additional Elementary Functions
Reading Assignment: Chapter 2, sections 2.1through 2.3

Lesson Three: Mathematics of Finance
Reading Assignment: Chapter 3, sections 3.1 through 3.4

Lesson Four: Systems of Linear Equations
Reading Assignment: Chapter 4, sections 4.1 through 4.3

Lesson Five: Matrices
Reading Assignment: Chapter 4, sections 4.4 through 4.6

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

Lesson Seven: Sets and Counting
Reading Assignment: Chapter 6, sections 6.2 through 6.4

Lesson Eight: Sample Space, Events, and Probability
Reading Assignment: Chapter 7, sections 7.1 and 7.2

Lesson Nine: Conditional Probability, Bayes’ Formula , and Probability Distribution
Reading Assignment: Chapter 7, sections 7.3 through 7.5

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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