MA 124 - Mathematics for Liberal Arts Students
Description
MA 124 is intended for students majoring in liberal arts or other fields that do not have a specific mathematics requirement. Its purpose is to give students a broad exposure to a variety of real-world applications of mathematics. Topics include voting methods, apportionment, mathematics of finance, number theory, shapes and patterns in geometry, networks and directed graphs, counting methods, probability and statistics.
Credit Hours: 4
Contact Hours: 4
School: School of STEM
Department: Mathematics
Discipline: MA
Major Course Revisions: Prerequisite, Corequisite, General Education Review
Last Revision Date Effective: 20230307T11:41:23
Course Review & Revision Year: 2027-2028
Course Type:
General Education- Offering designed to meet the specific criteria for a GRCC Distribution Requirement. The course should be designated by the requirement it fulfills.
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:
1. Identify, compute, and compare a variety of voting methods. (GELO 3)
2. Distinguish and apply various methods of apportionment.
3. Construct a graph or a directed graph with specified properties.
4. Distinguish between Eulerian and Hamiltonian circuits.
5. Identify, distinguish between and apply various algorithms related to graph theory problems. (GELO 3)
6. Identify and apply counting techniques.
7. Draw tree diagrams and Venn diagrams for counting problems.
8. Apply appropriate rules to compute probabilities. (GELO 7)
9. Construct and interpret various ways of representing data. (GELO 7)
10. Compute measures of central tendency and measures of spread.
11. Compute compound interest and future value of an annuity.
12. Construct an amortization schedule.
Approved for Online Delivery?: Yes
Course Outline:
I. The mathematics of Voting and Apportionment
A. The plurality method
B. The Borda count method
C. The method of head-to-head comparison
D. The approval voting method
E. The quota methods
F. The divisor methods
G. Other apportionment methods
II. Graph Theory
A. Definitions of graph, directed graph, multigraph, pseudograph
B. Graph concepts and terminology
C. Modeling with graphs
D. Eulerian Circuit
E. Fleurys algorithm
F. Traveling salesman problems
G. Greedy and nearest-neighbor algorithms
H. Trees and their properties
I. Kruskals algorithm
J. Directed graphs and its application
III. Probability and Statistics
A. Counting techniques
B. Elementary Probability and tree diagrams
C. Rules of probability
D. Probabilities of unionsand intersection
E. Expected value
F. Gathering data
G. Organizing and displaying data
H. Measures of central tendency
I. Measures of spread
IV. Mathematics of Finance
A. Simple and compound interest
B. Annuities
C. Loan
D. Amortization schedule
V. Number Theory
A. Primes and divisibility test
B. Greatest common divisor and least common multiple
C. Modular arithmetic
D. Check digits
Mandatory CLO Competency Assessment Measures:
None
Name of Industry Recognize Credentials: None
Instructional Strategies:
Lecture: 10-80%
Facilitated Discussion: 0-80%
Mediated instruction: 10-30%
Collaborative Work: 10-30%
Mandatory Course Components:
None
Academic Program Prerequisite: None
Prerequisites/Other Requirements: C or Higer in one of the following courses MA 98 or MA 99 or MA 107 or ALEKS score of 30 or Higher.
English Prerequisite(s): None
Math Prerequisite(s): None
Course Corerequisite(s): MA 24 Corequisite for students with an ALEKS PPL placement score of 7-29.
Course-Specific Placement Test: None
Course Aligned with IRW: N/A
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: The instructor needs to have thorough knowledge of diverse area of mathematics including probability, statistics, elementary graph theory, and number theory.
Maximum Course Enrollment: 30
Equivalent Courses: None
Dual Enrollment Allowed?: Yes
Number of Times Course can be taken for credit: 1
Programs Where This Courses is a Requirement:
None
Course Fees: $19.00
People Soft Course ID Number: 101075
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
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