General Education Mathematics

I.     Course Prefix/Number: MAT 125

       Course Name: General Education Mathematics

       Credits: 4 (4 lecture; 0 lab)

II.    Prerequisite

MAT 110 or the equivalent with minimum grade of C or appropriate score on the Mathematics Placement Test.

III.   Course (Catalog) Description

Course focuses on mathematical reasoning and the solving of real-life problems. Topics include: counting techniques and probability, logic, set theory, and mathematics of finance. Calculators/computers used when appropriate.

IV.   Learning Objectives

1.   Apply various problem solving strategies, including estimation, and inductive/deductive reasoning, to solve problems involving personal decision-making.

2.   Construct and interpret Venn diagrams to solve problems using basic set vocabulary, notations, and operations.

3.   Determine the validity of logical arguments by translating statements into symbolic language and analyzing truth tables, applying DeMorgan's Law, and comparing the statements to       standard valid forms of arguments.

4.   Apply techniques of the mathematics of finance to common personal financial situations found in everyday life.

5.   Analyze and solve expected value and real-life problems using a variety of counting techniques to determine probability.

V.    Academic Integrity and Student Conduct

Students and employees at Oakton Community College are required to demonstrate academic integrity and follow Oakton's Code of Academic Conduct. This code prohibits:

• cheating,
• plagiarism (turning in work not written by you, or lacking proper citation),
• falsification and fabrication (lying or distorting the truth),
• helping others to cheat,
• unauthorized changes on official documents,
• pretending to be someone else or having someone else pretend to be you,
• making or accepting bribes, special favors, or threats, and
• any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Please review the Code of Academic Conduct and the Code of Student Conduct, both located online at
www.oakton.edu/studentlife/student-handbook.pdf

VI.   Sequence of Topics

1.  Set theory
  • Basic Set Concepts
  • Subsets
  • Venn Diagrams and Set Operations
  • Set Operations and Venn Diagrams with Three Sets
  • Survey problems
2.  Logic
  • Statements, Negations, and Quantified Statements
  • Compound Statements and Connectives
  • Truth Tables for Negations, Conjunction, and Disjunction
  • Truth Tables for the Conditional and Biconditonal
  • Negations  of Conditional Statements and De Morgan’s Laws
  • Arguments and Truth Tables
  • Arguments and Euler Diagrams
3.  Consumer Mathematics and Financial Management
  • Percent, Sales Tax, and Income Tax
  • Simple Interest
  • Compound Interest
  • Annuities, Stocks and Bonds
  • Installment Loans, Amortization, and Credit Cards
4. Counting Methods and Probability Theory
  • The Fundamental Counting Principle
  • Permutations
  • Combinations
  • Fundamentals of Probability
  • Probability with the Fundamental Counting Principle, Permutations, and Combinations
  • Events involving Not and Or; Odds
  • Events Involving And; Conditional Probability
  • Expected Value

VII.  Methods of Instruction

Methods of presentation include lecture, discussion, demonstration, group work, and regularly assigned homework. Techniques will emphasize critical thinking and applications. Calculators/computers will be used where appropriate.
Course may be taught as face-to-face, hybrid or online course.

VIII. Course Practices Required

(To be completed by instructor.)

IX.   Instructional Materials

Note: Current textbook information for each course and section is available on Oakton's Schedule of Classes.

Within the Schedule of Classes, textbooks can be found by clicking on an individual course section and looking for the words "View Book Information".

Textbooks can also be found at our Mathematics Textbooks page:  
http://www.oakton.edu/academics/academic_departments/math/syllabi

X.    Methods of Evaluating Student Progress

(To be completed by instructor.)

Evaluation methods can include assignments, quizzes, chapter or major tests, individual or group projects, computer assignments and/or a final examination.

XI.   Other Course Information



If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the Access and Disability Resource Center at the Des Plaines or Skokie campus. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.

Oakton Community College is committed to maintaining a campus environment emphasizing the dignity and worth of all members of the community, and complies with all federal and state Title IX requirements.

Resources and support for
  • pregnancy-related and parenting accommodations; and
  • victims of sexual misconduct
can be found at www.oakton.edu/title9/.

Resources and support for LGBTQ+ students can be found at www.oakton.edu/lgbtq.