TTh 12:30-1:45 pm
Methods from linear algebra and probability are developed and applied to problems in business and the social sciences. Topics include word problems, functions, graphs, systems of equations, matrices, linear programming, sets, probability, counting techniques, finite geometric series, and annuities.
MATH 1814 with a grade of C or better or appropriate assessment score
Course Alignment
General Education Outcomes are the knowledge, skills, abilities, attitudes, and behaviors that students are expected to develop as a result of their overall experiences with any aspect of the college, including courses, programs, and student services, both inside and outside of the classroom. The General Education Outcomes specifically learned in this course are:
- Critical Thinking
Relationship to academic programs and transferability: IAI: M1 906 Mathematics.
MATH 1713 – Finite Mathematics - was designed to meet specific student needs either individually or within a program and is designed to transfer to other colleges and universities. KCC participates in the Illinois Articulation Initiative (IAI), a statewide transfer agreement for general education courses. All colleges and universities participating in the IAI agree to accept a collective “package” of IAI general education courses; transfer of courses separately is not guaranteed. For more information about IAI, go to their website at www.itransfer.org and IAI. For the transferability of courses to specific four-year institutions, go to “MyCreditsTransfer” at www.itransfer.org.
Faculty Contact Information
MW 11am-12pm, TTh 11:30am-12pm and 2-3pm
I will be available in my office during those times without making an appointment. You will need to make an appointment outside of those times.
Email: rfabbro@kcc.edu
Course Information
At the end of this course, students will be able to:
- Apply linear functions to supply and demand and cost analysis problems.
- Find the least squares line for a set of data using a graphing utility.
- Solve a system of linear equations using matrices.
- Solve a linear programming problem using graphing.
- Solve a linear programming problem using the simplex method.
- Solve interest and annuity problems.
- Apply various methods to find probabilities.
- Slopes and equations of lines
- The least squares line
- Linear functions, linear systems and the Echelon method
- Linear systems and the Gauss-Jordan method
- Adding and subtracting matrices
- Multiplication of matrices and matrix inverses
- Solving linear systems using a matrix equation
- Input-output models
- Graphing linear inequalities
- Solving linear programming problems graphically
- Applications of linear programming
- Slack variables and the pivot
- Solving maximization problems using the simplex method
- Minimization problems
- Duality
- Nonstandard problems
- Simple and compound interest
- Future value of an annuity
- Present value of an annuity
- Amortization
- Sets and applications of Venn diagrams
- Basic concepts of probability
- Conditional probability and independent events
- Baye’s Theorem
- Counting principles and permutations
- Permutations and combinations
- Binomial probability
- Probability distributions and expected value
Finite Mathematics, 12th ed., by Lial, Greenwell, & Ritchey; published by Pearson, 2022
(book is optional, code is required and comes automatically with tuition)
TI84 Graphing Calculator
This course will be evaluated by performance on homework, quizzes, tests, and a comprehensive final exam.
- Homework = 25% of grade
- Quizzes = 5% of grade
- Tests = 50% of grade
- Final Exam = 20% of grade (Must be taken as scheduled on KCC’s Final Exam Schedule.)
Grading Scale:
Percentage | Final Grade |
90-100% | A |
80-89% | B |
70-79% | C |
60-69% | D |
0-59% | F |
Liberal Arts & Sciences
Dean, Jennifer Huggins; 815-802-8484; R310; jhuggins@kcc.edu; Division Office- W102; 815-802-8700
Attendance Policy: Attendance is expected and is recorded daily. As with any class, attendance is vital to success. It is understood that conflicts arise forcing students to miss class from time to time. If a student must miss class, the student is responsible for the material covered during the missed period. There will be no extensions of deadlines. Since a large amount of material is covered in each class meeting, frequent absences, late arrivals, or early departures will affect performance.
Homework: Homework will be assigned and completed using Pearson MyLab. As many opportunities as necessary are granted to achieve full credit, thus, persistence is the key. Homework is your opportunity to practice and master the material. Homework is due on the date listed in MyLab and is completed on your own time. For the most part, no late work is accepted. Your two lowest homework grades will be dropped.
Quizzes: There will be one or two take-home quizzes per chapter. You will upload the work to your quizzes by the due dates in Canvas. The morning after the quiz is due, I will upload an answer key and you are expected to write an analysis of your quiz after checking the answer key. This analysis should be provided in sentence form. Look at each problem that you got incorrect and explain what mistake you made and whether or not you now understand how to do the problem. You are not simply stating that you were incorrect or correct. Your lowest quiz score will be dropped.
Tests: There will be no makeup tests. Exceptions to this will be at the discretion of the instructor. I will replace your lowest test score with your final exam grade so if you miss a test, you will have the opportunity to replace the zero with your final exam grade.
Calculator Usage Policy: We will be using a TI84 Graphing Calculator throughout the course. If you do not wish to purchase one, you can borrow one from the library. Use of cell phone calculators or other electronic devices as a calculator during an exam is considered cheating and will result in a zero on any exam on which they are used.
Cell Phones and All Electronic Devises (including laptop computers): Please turn off (or silence) all cell phones and remove headphones before class begins. I would like you to be present and participate in class. If you receive a phone call that you must take, please step out of the classroom.
*Subject to change as semester progresses.
| Week | Material |
|---|---|
| Week 1 | Syllabus, Intro 1.1 Slopes and Equations of Lines 1.2 Linear Functions and Applications 1.3 The Least Squares Line |
| Week 2 | 2.1 Solution of Linear Systems by Echelon Method 2.2 Solution of Linear Systems by Gauss-Jordan Method 2.3 Addition and Subtraction of Matrices |
| Week 3 | 2.4 Multiplication of Matrices 2.5 Matrix Inverses 2.6 Input-Output Models |
| Week 4 | Review Unit 1 Test |
| Week 5 | 3.1 Graphing Linear Inequalities 3.2 Solving Linear Programming Problems Graphically 3.3 Applications of Linear Programming |
| Week 6 | 3.3 Applications of Linear Programming 4.1 Slack Variables and the Pivot 4.2 Maximization Problems |
| Week 7 | 4.3 Minimization Problems; Duality 4.4 Nonstandard Problems |
| Week 8 | Review Unit 2 Test |
| Week 9 | 5.1 Simple and Compound Interest 5.2 Future Value of an Annuity 5.3 Present Value of an Annuity; Amortization |
| Week 10 | Review Unit 3 Test |
| Week 11 | 7.1 Sets 7.2 Applications of Venn Diagrams 7.3 Introduction to Probability |
| Week 12 | 7.4 Basic Concepts of Probability 7.5 Conditional Probability; Independent Events 7.6 Bayes’ Theorem |
| Week 13 | 8.1 The Multiplication Principle; Permutations 8.2 Combinations 8.3 Probability Applications of Counting Principles |
| Week 14 | 8.4 Binomial Probability 8.5 Probability Distributions; Expected Value |
| Week 15 | Review Unit 4 Test |
| Week 16 | Review for Final |
| Tue, Dec. 8 | Final Exam Tuesday, Dec. 8, 12 – 1:50 PM |
College Policies, Resources and Supports
For information related to the Student Code of Conduct Policy, Withdrawal Policy, Email Policy, and Non- Attendance/Non-Participation Policy, please review the college’s Code of Campus Affairs and Regulations webpage, which can be found at catalog.kcc.edu under the Academic Regulations & Conduct Guide.
KCC offers various academic and personal resources for all students. Many services are offered virtually, as well as in person. Please visit Student Resources - Kankakee Community College to access student resources services such as:
- Clubs and organizations
- Counseling and referral services
- Office of disability services
- Student complaint policy
- Transfer services
- Tutoring services, etc.
The materials on this course are only for the use of students enrolled in this course for purposes associated with this course. Further information regarding KCC's copyright policy is available at https://kcc.libguides.com/copyright.
|Course syllabus/calendar is subject to change.