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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 problemsolving. 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.).
PrenticeHall, Inc.
ISBN 0131432095
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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