## Course Content and Outcome Guide for MTH 105

- Course Number:
- MTH 105
- Course Title:
- Explorations in Mathematics
- Credit Hours:
- 4
- Lecture Hours:
- 40
- Lecture/Lab Hours:
- 0
- Lab Hours:
- 0
- Special Fee:

#### Course Description

Students engage in the discovery and exploration of selected non-traditional topics in mathematics. Possible topics include mathematics of social choice, geometry, statistics, probability, and discrete mathematics. Technology will be used where appropriate. Students communicate results in oral and written form. Audit available.#### Addendum to Course Description

This class is a terminal course, thus it does not directly support other courses in mathematics and other disciplines. As such, students wishing to take MTH 112 or MTH 243 must still take MTH 111. The course serves the purpose of exploring mathematical ideas/concepts that can support a variety of disciplines. The course should cover few topics, but cover them in depth.

This course should be rigorous in that it challenges student to contemplate, understand, and synthesize mathematical concepts. The students should be able to communicate their understanding in a variety of ways. Instructors are encouraged to use technology to enhance the learning experience.

Instructors may be conditionally allowed to select and use alternative course materials instead of the SAC-approved textbook. All such materials must receive advance approval from the standing MTH 105 alternate course materials subcommittee, respecting time for review in advance of book order deadlines. Advance approval shall again be required before using any new or substantially revised version of such course materials. Interested instructors should consult their Math Department Chair for further details.

#### Intended Outcomes for the course

Upon successful completion students should be able to:

• Use appropriate mathematics, including correct mathematical terminology, notation and symbolic processes, to solve everyday problems.

• Recognize which mathematical concepts are applicable to a scenario, apply appropriate mathematics and technology in its analysis, and then accurately interpret, validate, and communicate the results.

• Support conclusions using logical thought, reflection, explanation and justification.

• Recognize that mathematics is sensible, useful and/or worthwhile in a variety of applications in everyday life and other academic disciplines.

#### Course Activities and Design

#### Outcome Assessment Strategies

1. At least one individual or group project culminating in a written report and/or an oral presentation.

#### Course Content (Themes, Concepts, Issues and Skills)

**COURSE CONTENT:**