MGF 1106 - Mathematics for Liberal Arts I

Mathematics Department

Credit(s): 3
Contact Hours: 47
Effective Term Fall 2022 (610)

Requisites

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

Course Description

This course is a general survey course in mathematics and covers a number of traditional, independent topics and will include concepts related to mathematical logic, sets, systematic counting, probability, statistics and geometry. (Note: Credit is only given for MGF 1113 or MGF 1119 or MGF 1106).

Note: Students who have successfully completed MGF 1106 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 apply set concepts by:
    1. using proper set notation and terminology.
    2. comparing subsets and proper subsets.
    3. constructing the intersection, union, and complement of sets.
    4. verifying the equality of sets using Venn diagrams, or equivalent.
    5. solving problems using Venn diagrams, or equivalent.
    6. explaining historical developments in set theory.
  2. The student will apply mathematical logic by:
    1. using proper logic notation and terminology.
    2. formulating conclusions using deductive and inductive reasoning.
    3. constructing truth tables for combinations of negations, conjunctions, disjunctions, conditional, and bi-conditional statements.
    4. verifying equivalent statements using laws and truth tables.
    5. explaining historical developments in the study of logic.
  3. The student will apply geometric concepts by:
    1. using proper geometry notation and terminology.
    2. calculating perimeter and area of a circle, square, rectangle, and triangle and combinations of these shapes.
    3. calculating volume of a sphere, rectangular solid, and right circular cylinder.
    4. calculating surface area of a sphere, rectangular solid, and right circular cylinder.
    5. explaining historical developments in geometry.
    6. computing conversions of measurements within the US customary system, within the metric system, and between the US customary and metric measurement systems.
  4. The student will apply probability concepts by:
    1. using proper probability notation and terminology.
    2. comparing empirical and theoretical probability.
    3. utilizing basic rules of probability to solve real-world problems.
    4. evaluating expected value.
    5. calculating simple and compound probability.
    6. using the fundamental principle of counting.
    7. explaining historical developments in probability.
  5. The student will apply statistical concepts by:
    1. using proper statistical notation and terminology including:
      1. comparing population and sample.
      2. differentiating between parameter and statistic.
      3. identifying variables, including categorical and quantitative variables.
    2. identifying different methods of data collection, including a census, survey, experiment and observational study.
    3. comparing and contrasting sampling techniques.
    4. evaluating measures of central tendency (mean, median, mode).
    5. evaluating measures of dispersion (range, variance, and standard deviation).
    6. summarizing data using distributions, including the Normal distribution.

Criteria Performance Standard

Upon successful completion of the course, in order to earn a grade of “C” or better, 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 Online session 2000 Eff20021. 2005 3 Year Review, eff20061(0370.) 3-Year Review 2009 C&I Approval: 10/23/2001, BOT Approval: 11/20/2001, Effective Term: Summer 2014 (485). C&I Approval: 04/24/2015, BOT Approval: 06/16/2015, Effective Term: Spring 2016 (510). 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).
C&I Approval: , BOT Approval: , Effective Term: Fall 2022 (610)

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