This course provides an introduction in a nontechnical setting to selected topics in mathematics. Topics may include, but are not limited to, sets, logic, probability, statistics, matrices, mathematical systems, geometry, topology, mathematics of finance, and modeling. Upon completion, students should be able to understand a variety of mathematical applications, think logically, and be able to work collaboratively and independently.
This course will focus on basic principles of linear algebra, including systems of equations, matrices and linear programming, and basic principles of sets, probablility and statistics. The emphasis will be on solving problems by translating real situations and data into mathematical language.
The first half of the course will focus on linear algebra: solving systems of linear equations, matrix operations, and linear programming. The second half will focus on basic ideas in sets and counting, probability and statistics. Lessons will be about 2 weeks long, each with a quiz and an assignment to turn in. There will be three midterms and a final exam.
Wilson, Jessica D.
Jessica Wilson holds a Master of Science Degree in Applied Mathematics from the University of Missouri and a Bachelor of Science in Education from the University of Kansas. She taught and tutored students in math at both universities while completing her degrees, and afterward taught at Everett Community College in Washington. At the University of Missouri, she had the opportunity to teach disadvantaged students who needed extra support to transition from high school to college, and she helped develop a new calculus course for inservice teachers. Mrs. Wilson is now a homeschooling mother of four young boys, and a member of the Living Church of God in Indiana.
Upon successful completion of this course, students should be able to:
 Generate a linear equation to model a real situation; evaluate, solve, and graph linear functions;
 Generate a system of linear equations to model an application; demonstrate the use of a matrix to solve such a system;
 Demonstrate basic algebraic operations on matrices (addition, scalar multiplication, transposition, matrix multiplication, and inversion);
 Generate the constraining inequalities and the objective function for a linear programming problem and demonstrate its solution;
 Demonstrate basic operations on sets (union, intersection, complement) and generate a decision algorithm to compute the cardinality of a set;
 Demonstrate the probability of an event; and
 Demonstrate the measures of central tendency (mean, median) and variation (standard deviation) for a data set; identify the proper and improper uses of those statistics.
Waner, Stefan, and Steven R. Costenoble. Finite Mathematics. 5th ed. Boston: Brooks/Cole Cengage, 2011. (ISBN13: 9781439049242; ISBN10: 1439049246)
Optional Texts
Huff. How to Lie With Statistics. ISBN 9780393310726.
Polya. How to Solve It: A New Aspect of Mathematical Method. ISBN 9780691119663.
Lectures will primarily be PowerPoint slideshows with audio. If you do not have PowerPoint, you can download a free PowerPoint Viewer at http://www.microsoft.com/enus/download/details.aspx?id=13. To view the presentations, you will open the file, choose “slideshow” and “play from the beginning.” If you have trouble, please inform me as soon as possible.
Lesson  Topic and textbook sections 

1  Introduction: Algebra review (0.1, 0.3, 0.5, 0.7) 
2  Functions and linear models (1.1, 1.2, 1.3, 1.4) 
3  Systems of equations and matrices (2.1, 2.2, 2.3) 
Exam 1  
4  Matrix algebra and applications (3.1, 3.2, 3.3) 
5  Linear programming (4.1, 4.2) 
Exam 2  
6  Sets and counting (6.1, 6.2, 6.3, 6.4) 
7  Probability (7.1, 7.2, 7.3, 7.4, 7.5, 7.6) 
Exam 3  
8  Statistics (8.1, 8.2, 8.3, 8.4) 
Final Exam 
Submit assignments on time: Late assignments will not be accepted. In extreme circumstances, you may contact me to ask for an extension.
Icebreaker and Discussion Forum: Your very first assignment will be to post an introduction for yourself on the discussion board under the “Icebreaker” discussion. This assignment is worth 20 points. For most lessons, participation in the discussion forum is not required, but is encouraged. You can ask questions about the lectures and practice problems, and respond to others’ questions. Helping each other out this way can be beneficial for everyone.
Readings and Lectures: Due to the online format of this course, it will be especially important for you to read the assigned sections in the textbook. Be sure to read “actively”—take notes, work out the examples, and understand each concept before moving on. Then view the lectures to review the most important concepts and see examples that will help you when doing your homework.
Studying and Practice Exercises: Learning mathematics is learning a new language! Vocabulary is very important. Make notes of the most important formulae and terms as you read and listen to the lectures. You can use 3X5 notecards and put one term or formula on each card. Flip through these cards in preparation for quizzes and tests. Practice exercises will be oddnumbered problems from your text, so the answers can be found at the back of the book. It is imperative that you do all the practice exercises and check your answers, even though they will not be turned in. You will only learn the math by doing it.
Quizzes: Each lesson will have a short quiz, which is openbook and opennote. Most of the questions will be matching vocabulary terms and formulas with their definitions, and True/False questions about concepts presented in the chapter. Prepare for the quizzes by studying the vocabulary and formulae for the chapter. One retake will be allowed for each quiz, with the highest score kept.
Writing Assignments: Each lesson will have one writing assignment consisting of one or two “applications” (i.e., word problems), for which you will need to write equations and find solutions. Projects will be turned in as “.doc” or “.pdf” files. If you have Microsoft Office, then you already have Word, Excel and Equation Editor. Otherwise, you probably have a spreadsheet and wordprocessing program on your computer that can export files as PDF, and there are free online equation editors and graphing calculators. You will also want a basic calculator, which is almost certainly available on your computer.
Exams: The final exam will need to be proctored. Midterm exams will not be proctored—meaning you will be “on your honor” to follow the rules. NO books, notes, graphing calculators or online resources may be used during an exam. However, you may use a basic 4function calculator or scientific calculator. If you have any questions about whether your calculator is allowed, please ask well in advance of the exam due date. Exams will be primarily multiplechoice questions, and the final exam will be comprehensive.
Grades:

Points per assignment  Number of assignments  Totals 
Icebreaker 
20 points 
1 
20 points 
Quizzes 
25 points 
8 
200 points 
Writing Assignments 
35 points 
8 
280 points 
Midterm Exams 
100 points 
3 
300 points 
Final Exam 
200 points 
1 
200 points 
Total 


1000 points 
A 
900 to 1000 points 
B 
800 to 899 points 
C 
700 to 799 points 
D 
600 to 699 points 
F 
599 or fewer points 