Course Overview

Introduction to Finite Mathematics

MATH-M 118: Finite Mathematics is a college-level course designed to fulfill the Statewide Analytical Reasoning Competency Domain. The course introduces students to foundational concepts in finite mathematics, emphasizing problem-solving, analytical reasoning, and mathematical communication. The course is structured to develop skills in set theory, combinatorics, probability, statistics, linear algebra, and related applications.

Course Topics

Key Mathematical Areas Covered

• Set Theory: Understanding sets, Venn diagrams, and set operations.

• Combinatorics: Permutations and combinations for counting and probability.

• Probability: Simple and conditional probability, independence, Bayes' theorem, Bernoulli trials.

• Statistics: Central tendency, expected value, standard deviation, and normal distributions.

• Linear Algebra: Systems of equations, matrix algebra, and Markov chains.

• Linear Programming: Optimization using systems of inequalities and the fundamental theorem of linear programming.

Prerequisites

Required Background

• Students must have a sufficient background in algebra, demonstrated by an ALEKS placement score of 58 or higher or successful completion of prerequisite mathematics courses with a grade of C- or better within the last three terms.

Course Structure and Grading

Assessment Components

• Final Exam: 20% of the course grade; comprehensive and covers major topics.

• Tests: 60% of the course grade; four tests administered throughout the semester.

• MyLab Math Homework: 10% of the course grade; online assignments for each textbook section.

• MyLab Math Quizzes: 5% of the course grade; timed online quizzes for each section.

• Active Engagement: 5% of the course grade; includes in-class activities and participation.

Grading Scale

Course Policies

Attendance and Participation

• Regular attendance and active participation are required. Missing more than half of the required activities in the first 25% of the course may result in administrative withdrawal.

Calculator Policy

• Only TI-30Xa or TI-30XIIS scientific calculators are permitted during quizzes and exams. All other electronic devices are prohibited during assessments.

Make-Up and Incomplete Policies

• No make-up tests are allowed. The lowest test score (from Tests #1-4) may be replaced by the final exam score if it improves the overall grade.

• Incompletes are granted only under exceptional circumstances and require departmental approval.

Student Learning Outcomes

Skills and Competencies Developed

• Use the language and concepts of set theory, combinatorics, probability, statistics, linear equations, linear programming, matrix algebra, and Markov chains to solve problems.

• Apply mathematical techniques such as Venn diagrams, permutations, combinations, probability calculations, tree diagrams, Bayes' formula, binomial probability, expected value, standard deviation, and matrix operations.

• Analyze mathematical results for reasonableness and clearly explain solutions and interpretations.

Support and Resources

Academic Support

• Instructor office hours and email support are available for questions and assistance.

• Free tutoring and mentoring are offered through the Math Assistance Center (MAC).

Additional Campus Resources

• Disability accommodations are available through Accessible Educational Services (AES).

• Counseling and Psychological Services (CAPS) provide support for personal and academic challenges.

Academic Integrity

Expectations and Policies

• Students are expected to uphold academic honesty and integrity. Academic misconduct includes cheating, fabrication, plagiarism, and violation of course rules.

• Violations may result in penalties and disciplinary action according to university policies.

Important Dates

Key Academic Calendar Events

• Labor Day (No Class): Monday, September 7

• Test #1: September 23-29

• Test #2: October 14-22 (excluding October 19-20)

• Fall Break (No Class): October 19-20

• Last Day to Withdraw (Automatic W): Sunday, October 25

• Test #3: November 4-10

• Thanksgiving Break (No Class): November 25-27

• Test #4: December 2-8

• Final Exam: December 10-12

Summary Table: Course Assessment Breakdown

Course Learning Goals and Analytical Reasoning

Analytical Reasoning Competency

• Interpret and represent information in mathematical form.

• Demonstrate proficiency in mathematical procedures and problem-solving.

• Analyze and evaluate mathematical results for accuracy and reasonableness.

• Communicate mathematical solutions and interpretations clearly.

Additional Info

• This syllabus provides a comprehensive overview of course expectations, policies, and resources. For detailed schedules, assignments, and updates, students should refer to the course Canvas page and official university communications.