MGF 1107 - Mathematics for Liberal Arts II

Mathematics Department

Credit(s): 3
Contact Hours: 47
Effective Term Fall 2020 (580)

Requisites

Appropriate score on an SPC approved assessment or
Completion of required developmental education coursework

Course Description

This course presents topics demonstrating the beauty and utility of mathematics to the general student population and to provide knowledge and skills useful for college, life, and career. The course will include topics related to history of mathematics, financial mathematics, linear and exponential growth, voting and apportionment methods and graph theory. Mathematical connections with music, art, architecture and nature will be explored. Critical thinking skills, problem solving strategies and appropriate use of technology will be used throughout the course.
Note: Students who have successfully completed MGF 1107 prior to Fall 2024 will satisfy the General Education Math core requirement. If completed after Fall 2024, the course will satisfy the General Education Math Elective.

Learning Outcomes and Objectives

  1. The student will employ historical aspects of mathematics by:
    1. using early and modern systems of numeration to write numbers.
    2. expanding another number system in terms of the base 10 system.
    3. converting numbers between base 10 and other base systems.
    4. constructing the Fibonacci sequence of numbers and identifying the occurrence of Fibonacci numbers in nature.
    5. calculating the Golden Ratio and describing its relationship to the Fibonacci sequence.
    6. identifying uses of the Golden Ratio in art and architecture.
    7. utilizing modular arithmetic to determine congruence of numbers and dates.
  2. The student will apply fundamental concepts of linear and exponential modeling as well as their applications to practical problems in today's society by:
    1. identifying and modeling change with linear and exponential functions.
    2. determining an appropriate linear model and predicting future outcomes given a set of data.
    3. determining an appropriate exponential model and predicting future outcomes given a set of data.
  3. The student will apply fundamental concepts of graph theory as well as their applications to practical problems in today's society by:
    1. distinguishing between graphs, paths, and circuits.
    2. creating and employing Euler and Hamiltonian paths and circuits.
    3. solving problems using spanning trees.
  4. The student will apply financial mathematical concepts by:
    1. calculating and comparing simple and compound interest rates.
    2. comparing different investment strategies and types of loans.
    3. analyzing the terms of credit card agreements and finance charges.
    4. determining the cost of home ownership including down payments, mortgages, monthly payments and interest.
  5. The student will apply voting and apportionment methods by:
    1. using preference tables to illustrate the results of an election.
    2. using the plurality, Borda Count, plurality with elimination and pairwise comparison methods to determine the outcome of an election.
    3. comparing and contrasting the voting paradoxes.
    4. calculating standard divisors and standard quotas for use with apportionment methods.
    5. comparing and contrasting the different apportionment plans.
    6. comparing and contrasting the apportionment paradoxes.

Criteria Performance Standard

Upon successful completion of the course the student will, with a minimum of 70% accuracy, demonstrate mastery of each of the above stated objectives through classroom measures developed by individual course instructors.

History of Changes

C&I 11/24/98; DBT 12/14/98 Effective Session 19991 C&I 10/23/01, BT 11/20/01 Effective yrtr 20021. C&I 11/8/05, BOT 12/20/05, Effective 20052(0360). Effective 20101(0430) C&I Approval: 05/25/2010, BOT Approval: 07/22/2010, Effective Term: Summer 2014 (485). C&I Approval: 11/20/2015, BOT Approval: 03/15/2016, Effective Term: Fall 2016 (520). C&I Approval: 02/14/2019, BOT Approval: 03/19/2019, Effective Term: Fall 2019 (565).
C&I Approval: , BOT Approval: , Effective Term: Fall 2020 (580)

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