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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 online.
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 110Online 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 realworld 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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