MTH 116 - Mathematics for Liberal Arts Students
Description
MTH 116 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.
Was previously MA 124.
Credit Hours: 4
Contact Hours: 4
Prerequisites/Other Requirements: MTH 112 (C or Higher) or Math Placement Score of 30 or Higher.
English Prerequisite(s): None
Math Prerequisite(s): None
Course Corequisite(s): MTH 16 Corequisite for students with a Math Placement Score of 7-29.
Academic Program Prerequisite: None
Consent to Enroll in Course: No Department Consent Required
Dual Enrollment Allowed?: Yes
Course Fees: $19.00
Number of Times Course can be taken for credit: 1
Programs Where This Course is a Requirement:
None
General Education Requirement:
Mathematics
General Education Learner Outcomes (GELO):
3. Critical Thinking: Gather and synthesize relevant information, evaluate alternative perspectives, or understand disciplinary strategies 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.
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
Approved for Online and Hybrid Delivery?:
Yes
Instructional Strategies:
Lecture: 10-80%
Facilitated Discussion: 0-70%
Mediated instruction: 10-30%
Collaborative Work: 10-30%
Mandatory Course Components:
None
Equivalent Courses:
None
Accepted GRCC Advanced Placement (AP) Exam Credit: None
AP Min. Score: NA
Name of Industry Recognize Credentials: None
Course prepares students to seek the following external certification:
No
Course-Specific Placement Test: None
Course Aligned with ARW/IRW Pairing: N/A
Mandatory Department Assessment Measures:
None
GRCC Course Type:
General Education: Meets the specific criteria for a GRCC Distribution Requirement. The course should be designated by the requirement it fulfills.
Course Format:
Lecture - 1:1
Total Lecture Hours Per Week: 4
People Soft Course ID Number: 101075
Course CIP Code: 27.01
Maximum Course Enrollment: 30
High School Articulation Agreements exist?: No
If yes, with which high schools?: NA
Non-Credit GRCC Articulation Agreement With What Area: No
Identify the Non Credit Programs this Course is Accepted: NA
School: School of STEM
Department: Mathematics
Discipline: MA
Faculty Credential Requirements:
Other (list below), 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.
Major Course Revisions: Prefix, Prerequisite, Course Number Change
Last Revision Date Effective: 20260304T10:58:05
Course Review & Revision Year: 2028-2029
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