### MTH 107 : SPECIAL TOPICS IN MATHEMATICS

Selected topics in mathematics. The topics in the course will vary depending on the available faculty and interest of the students.

Mathematics

- JESSICA L. SORRELLS, chair
- PETER H. BROWN
- JOSEPH S. BARRERA
- AMANDA J. MANGUM

The mission of the mathematics major is to provide the student with the opportunity to study the classical mathematics curriculum with the following student learning outcomes:

- Students will demonstrate the perspectives and the analytical skills required for efficient use and understanding of mathematics,
- Students will demonstrate the ability to read, communicate, and understand mathematical ideas in a variety of settings, both verbally and in writing, making use of numerical, graphical, and symbolic viewpoints,
- Students will formulate and produce valid mathematical proofs, and
- Students will demonstrate a basic historical perspective of mathematics.

The General Education Program is a requirement for all degrees. The requirements listed below are approved for the Bachelor of Arts, Bachelor of Science and Bachelor of Fine Arts.

ENG 101 | 3 hours |

Language and Culture | 9 hours |

MTH 108 or higher | 3 hours |

One course designated as Quantitative reasoning | 3–4 hours |

Health and Well-being Wellness | 2 hours |

Activity course | 1–2 hours |

Humanities | 6 hours |

Literature | 3 hours |

Fine Arts | 6 hours |

Natural Science | 7–8 hours |

Social Science | 6 hours |

Total |
49–52 hours |

Graduation requirements but not a separate course:

- First Year Seminar
- Writing Intensive course
- Non-European/non-Anglophone course Capstone experience.
- For more information see the GEP requirements in this catalog.

A student completing a bachelor’s degree with a mathematics major must take a minimum of 35 credit hours of coursework above MTH 115.

To earn a degree in mathematics or complete a minor in mathematics a student must have a minimum GPA of 2.0 in all required mathematics coursework. Grades in required non-mathematics courses (CSC 201, CSC 202) are not included in the GPA calculation.

For the Bachelor of Arts degree, only twelve elective credits will be included in the GPA calculation. For the Bachelor of Science degree, only six elective credits will be included in the GPA calculation.

If the student has more than the minimum required number of elective credits, the credits with the highest grades will be used in the GPA calculation.

Selected topics in mathematics. The topics in the course will vary depending on the available faculty and interest of the students.

Increased use of technology and the consequential rise of a data-driven society has changed the landscape of today’s society and workforce. However, it is not only quantitative experts who are needed to fill positions, but also quantitatively comfortable humanists. There is a great and growing need for college graduates both trained in the liberal arts and having the ability to remark intelligently on quantitative issues. This requires mathematics to serve not only the sciences, but also disciplines within the humanities and arts. This course will cover fundamental mathematical skills similar to those typically taught in finite mathematics or college algebra courses, but will place special emphasis on a wide range of applications.

These application categories divide the course into four units:

- Mathematics in Technology & Analytics
- Mathematics in the Social Sciences
- Mathematics in Economics & Finance
- Mathematics in Art

**GEP credit. Can replace MTH 108 requirement.**

A study of selected topics from finite mathematics. The topics may include probability, statistics, systems of linear equations, linear programming and the mathematics of finance. Offered most terms. Quantitative GEP requirement.

This course is designed as a “bridge” course to help students progress through the ALEKS system in order to prepare them for entering MTH 110 Elementary Functions. Topics include whole numbers, fractions, percentages, linear equations and inequalities, factoring, quadratic functions, polynomial functions, radical and rational expressions, basic geometry, and basic trigonometry. Typically offered every Fall term.

Placement into MTH 109.

A study of elementary functions and their graphs and applications, including polynomials, rational and algebraic functions, exponential, logarithmic, and trigonometric functions. Offered most terms.

Placement in MTH 110

This course will provide a comprehensive introduction to the models and methods used in statistics. Quantitative GEP requirement.

High School Algebra.

A one-term introduction to the elements of the differential and integral calculus, intended for students majoring in other departments. Offered on demand in Jan Term. Quantitative GEP requirement.

MTH 110, or equivalent.

A study of data and the questions that can be answered by studying data. This course will also introduce students to programming to explore and visualize data effectively. Algorithms and basic modeling techniques will also be discussed.

Completing of at least 1 Converse University mathematics course satisfying the GEP requirement (or equivalent) or permission of instructor.

A continuing study of data and the questions that can be answered by studying data. This course will build on the programming and visualization techniques introduced in Data Science I. Students will encounter more varied data sets and more methods for analyzing data.

MTH 117 or permission of instructor.

A study of the differential and integral calculus. Offered Fall and Spring Terms. Quantitative GEP requirement.

MTH 110, or equivalent.

First-Year Seminars (FYS) constitute a common and academically significant experience in a student’s first year at Converse. All incoming first-year students are required to take a 3 credit- hour FYS course in the fall semester, choosing from a variety of discipline specific topics. Each FYS carries the corresponding departmental prefix, but with a common course number (except designated honors sections). Each FYS course is designed to have no more than 18 students, and counts in some designated category of the General Education Program. Strong writing and speaking components are elements of the course.

This course is meant to serve as a transition from calculus to more abstract mathematics and ways of thinking. This course emphasizes the importance of proper proof writing style and covers basic set theory, logic, and the main proof techniques in higher mathematics: direct proof, proof by contradiction, proof by contrapositive, and mathematical induction. These topics are fundamental to communicating and understanding mathematical concepts learned in later courses.

MTH 120 or permission of instructor.

The course will introduce students to topics and techniques of discrete methods and combinatorial reasoning. Methods for approaching problems in counting, logic, and other Computer Science related topics will be accumulated. A wide variety of applications will be incorporated into the mathematics. Offered alternate years. Quantitative GEP requirement.

CSC 201 and MTH 110 or consent of the instructor.

A continuation of MTH 120. Offered every year. Quantitative GEP requirement.

MTH 120, or equivalent.

A continuation of MTH 210. Offered every year. Quantitative GEP requirement.

MTH 210, or equivalent.

This course is team taught by members in two departments and is open to Nisbet Honors Program participants and to others who meet Honors Program guidelines. All students registering for these courses must register not only through the Honors Program but also with their adviser and the Registrar’s Office. Quantitative GEP requirement.

A study of the integers and their divisibility properties with particular emphasis on the theory of congruences, prime numbers, Diophantine equation, and quadratic residues. Offered on demand. Quantitative GEP requirement.

Consent of the instructor.

A study of the foundation of Euclidean and non-Euclidean geometry. Offered alternate years. Quantitative GEP requirement.

Consent of the instructor or MTH 351.

This is a first course in numerical analysis. Topics include numerical techniques for solving equations and problems in calculus, understanding error, and computer solutions. Students will be required to complete coding assignments as part of the course.

MTH 210 and CSC 201, or permission of the instructor.

This course is an introduction to a relatively new area of mathematics study. A diverse collection of applications includes operations research, sociology and chemistry. An introduction to mathematical proofs is included, and various proof techniques are illustrated while developing the theory itself. Offered on demand in Jan Term. Quantitative GEP requirement.

MTH 351 or permission of the instructor.

A study of linear equations and matrices, vector spaces, determinants, linear mappings, inner products, and cross products of vectors. Offered alternate years. Quantitative GEP requirement.

MTH 210.

A study of selected topics from real analysis. Offered on demand. Quantitative GEP requirement.

MTH 220.

A study of differential equations and their physical applications. Offered alternate years. Quantitative GEP requirement.

MTH 220 or consent of the instructor.

A study of groups, rings, integral domains, and fields. Offered alternate years. Quantitative GEP requirement.

MTH 210.

A study of probability, distributions, sampling distribution theory, and estimation. Offered alternate years. Quantitative GEP requirement.

MTH 210, or equivalent.

The internship involves the student in a business or governmental agency related to the student’s career choice. Credit and work to be arranged according to the experience desired.

Minimum 2.5 major GPA and permission of the department chair.

Each offering will cover a topic of mathematics that is not in the regular curriculum. Quantitative GEP requirement.

Consent of the instructor.

A special course to allow the student to pursue a research project. May be repeated for a maximum of six credit hours.

MTH 210 or its equivalent and consent of the instructor.

Intensive independent study of a topic in mathematics which is not in the regular curriculum. This study will be directed by a cooperating faculty member. May be repeated for credit. Offered on demand. Quantitative GEP requirement.

Consent of the instructor and department chair.

This course is for qualified students pursuing honors in mathematics. Students perform independent research and write a thesis under the direction of a mathematics faculty member. Honors Thesis in mathematics demonstrates the student’s ability to conduct systematic research with the intention of producing a research paper.

MTH 210 or its equivalent, senior class standing, approval by the department, permission of the instructor (adviser), and other prerequisites as outlined in the Nisbet Honors Guidelines.

This course allows the student to investigate a topic of particular interest in mathematics or computer science. The student will have the opportunity to present a written and oral report on the student's topic. Offered every year. Quantitative GEP requirement. Capstone.