# Contemporary Mathematics

## 6. Course Objectives:

Basic course objective is to introduce the student to some
of the ideas of contemporary mathematics with

emphasis on applications. In particular, the objectives are

• To be able to approach a problem systematically

• To be able to realize math patterns and use these patterns to solve
problems

• To learn the basic ideas of logic used in elementary mathematics and
able to derive valid logical conclusions

• Understand the basic notions related to sets

• Be familiar with the basic notions of probability

• Able to read simple graphs and understand the basic notions of measures
of central tendency

• To be able to present data using line , bar and pie graphs

• Learn basic applications of matrices

• Appreciate and apply the basic concepts of Algebra and Geometry

## 7. Student Learning Outcomes:

Students will be able to:

a. Effectively express themselves in written and oral form

b. Demonstrate ability to think critically

c. Locate and use information

d. Demonstrate ability to integrate knowledge and idea in a coherent and
meaningful manner

e. Work effectively with others.

## 8. Topical Outline of the Course Content:

Chapter 1 | The Nature of Problem Solving |
.5 week |

1.1 Problem Solving | ||

1.2 Inductive and Deductive Reasoning | ||

1.3. Scientific Notation and Estimation | ||

Chapter 3 | The Nature of Logic |
.5 week |

3.1 Deductive Reasoning | ||

3.2 Truth Tables and Conditionals | ||

3.3 Operators and Laws of Logic | ||

3.2 The Nature of Proof | ||

Chapter 2 | The Nature of Sets |
.25 week |

2.1 Sets, Subsets and Venn Diagrams | ||

2.2 Combined Operations with Sets | ||

Chapter 12 | The Nature of Counting |
.25 week |

12.1 Permutations | ||

12.1 Combinations | ||

12.3 Counting without Counting | ||

Chapter 13 | The Nature of Probability |
.5 week |

13.1 Introduction to Probability | ||

13.2 Mathematical Expectation | ||

13.3 Probability Models | ||

13.4 Calculated Probabilities | ||

Chapter 14 | The Nature of Statistics |
.5 week |

14.1 Frequency Distribution and Graphs | ||

14.2 Descriptive Statistics | ||

14.3 Normal Curve | ||

14.4 Correlation and Regression | ||

Chapter 16 | The Nature of Mathematical Systems |
.5 week |

16.1 Systems of Linear Equations | ||

16.2 Problem Solving with Systems | ||

16.3 Matrix Solution of a System of Equations | ||

16.4 Inverse Matrices |

## 9. Teaching Methods:

This course is taught entirely on-line.

a. Six lessons and problem sets

b. Assignment Homework

c. Assignment Summaries

d. Final Exam

## 10. Course Expectations:

This course is run over the internet. Instead of attending
traditional lectures, you will study from the MATH 110

website, which serves as a comprehensive interactive online complement to the
textbook. The material of the

website covers some topics from the book The Nature of Mathematics, Edition 11E,
Karl J. Smith, Brooks/Cole

Publishing (2007).

MATH 110-Online is divided into six lessons. Each lesson
presents new material and it has the following

sections:

**• Lecture Notes**

Lectures introducing new topics to be studied.

**• Reading Assignments**

Chapters of the textbook that must be read and studied.

**• Problem Sets**

A list of representative problems from each chapter to help you understand the
weekly material. Problem sets

will constitute a minimum requirement to get to understand the course material.
You are encouraged to read

more topics on your own during (and after you finished this) course

**• Lesson Homework**

Every assignment has a corresponding homework, which is a list of exercises that
must be completed online

at the end of the week(s) allocated for the lesson.

**• Lesson Summary**

For each lesson you need to submit a short summary highlighting what you have
learned and consider most

important about the topics, including any real-world applications. It must be
submitted online. As with

homework assignments,

**• Final Exam**

**Academic Honesty**

Academic honesty is highly valued at online courses just as it is on William
Paterson University campus. You

must always submit work that represents your original words or ideas. If any
words or ideas are used that do not

represent your original words or ideas, you must cite all relevant sources. You
should also make clear the extent

to which such sources were used. Words or ideas that require citations include,
but are not limited to, all hardcopy

or electronic publications, whether copyrighted or not, and all verbal or visual
communication when the content

of such communication clearly originates from an identifiable source. All
submissions fall within the scope of

words and ideas that require citations if used by someone other than the
original author.

Academic dishonesty in an Online learning environment could involve:

• Having a tutor or friend complete a portion of
your assignments

• Having a reviewer make extensive revisions to an assignment

• Copying work submitted by another student to a public class meeting

• Using information from online information services without proper
citation

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