Jun 05, 2025

GRCC Curriculum Database (2024-2025 Academic Year)

MA 127 - Finite Mathematics with Applications

Description
MA 127 is designed to give business, economics, management, life sciences, and social sciences students a background in finite mathematics. Topics include linear functions, mathematical models, systems of linear equations and inequalities, matrices, linear programming using both the graphical and the simplex methods, mathematics of finance, sets, counting principles and concepts of probability and statistics.

Credit Hours: 4
Contact Hours: 4

School: School of STEM
Department: Mathematics
Discipline: MA

Major Course Revisions: Prerequisite, General Education Review
Last Revision Date Effective: 20220213T19:33:48
Course Review & Revision Year: 2026-2027

Course Type:
Elective- Offering designed to expand learning opportunities for degree seeking students. May or may not be required for students in a specific GRCC program.
Course Format:
Lecture - 1:1

General Education Requirement: Mathematics
General Education Learner Outcomes (GELO):
3. Critical Thinking: Gather and synthesize relevant information, evaluate alternative perspectives, or understand inquiry as a means of creating knowledge, 7. Problem-Solving: Apply theory, calculation, or experimentation to demonstrate effective problem-solving

Course Learning Outcomes:

Solve a system of equations by using various methods including elimination, Gauss-Jordan, and Inverse matrix.

Compute various matrix operations and apply them in application problems.

Identify the objective function and the constraints in an optimization problem.

Solve an optimization problem by drawing a feasible region or constructing a simplex tableau and performing simplex operations.

Distinguish between financial problems involving a single payment and a sequence of equal payments.

Compute future and present values for compound interest problems and annuity problems.

State the definitions and compute various set operations.

Draw a Venn diagram and analyze it to solve application problems.

Identify and apply appropriate counting techniques to solve enumeration problems.

Identify and apply appropriate rules to compute probabilities.

Compute and analyze measures of central tendency and measures of spread.
Gather and synthesize relevant information, evaluate alternative perspectives, or understand inquiry as a means of creating knowledge. (GELO3)
Apply theory, calculation, or experimentation to demonstrate effective problem-solving. (GELO7)

Approved for Online Delivery?: Yes

Course Outline:
I. Linear Model

A. Linear function

B. Slope and Equations of line

C. Linear mathematical models

II. Systems of Linear Equations and Matrices

A. Solutions of linear systems by echelon and Gauss-Jordan method

B. Introduction of matrices

C. Matrix operation

D. Inverse matrices

III. Linear Programming

A. Graphing system of linear inequalities

B. Graphical method of linear programming

C. Slack variables and simplex tableau

D. The simplex method for the standard maximization problems

E. The simplex method for the nonstandard minimization problems

F. applications of linear programming

IV. Mathematics of Finance

A. Simple and compound interest

B. Future value of annuity and sinking fund

C. Present value of annuity and amortization

V. Counting Techniques and Probability

A. Sets and Venn diagram

B. Addition and multiplication principles

C. Permutations and combination

D. Introduction to probability

E. Union, intersection, and complement events

F. Conditional probability and independent events

G. Bayes theorem

H. Probability distribution and expected value

VI. Statistics

A. Measures of central tendency

B. Measures of dispersion

C. Binomial distribution

D. Normal distribution

Mandatory CLO Competency Assessment Measures:
None

Name of Industry Recognize Credentials: None

Instructional Strategies:
Lecture: 10-80%

Facilitated discussion: 10-80%

Mediated instruction: 0-30%

Collaborative work: 10-30%

Mandatory Course Components:
None

Academic Program Prerequisite: None
Prerequisites/Other Requirements: C or Higher in the one of the following courses: MA 107, MA 108, MA 110, MA 131, MA 133, MA 134, MA 245, MA 250, MA 255, MA 257, MA 259, ALEKS score of 46 or Higher
English Prerequisite(s): None
Math Prerequisite(s): None
Course Corerequisite(s): None
Course-Specific Placement Test: None
Course Aligned with IRW: NA
Consent to Enroll in Course: No Department Consent Required

Total Lecture Hours Per Week: 4
Faculty Credential Requirements:
18 graduate credit hours in discipline being taught (HLC Requirement), Master’s Degree (GRCC general requirement)
Faculty Credential Requirement Details: Standard requirements for the mathematics department apply.

Maximum Course Enrollment: 30
Equivalent Courses: None
Dual Enrollment Allowed?: Yes
Accepted GRCC Advanced Placement (AP) Exam Credit: None
AP Min. Score: NA
Number of Times Course can be taken for credit: 1
Course Fees: $19.00
People Soft Course ID Number: 101078
Course CIP Code: 27.01

High School Articulation Agreements exist?: No
If yes, with which high schools?: NA
Non-Credit GRCC Agreement exist?: No
If yes, with which Departments?: NA
Corporate Articulation Agreement exist?: No
If yes, with which Companies?: NA