# Mathematics

## Minor

Students who would like to minor in mathematics have the flexibility to choose some mathematics courses applicable to industry, teaching, or business. The purpose of the minor is not just to expose the student to different areas of mathematics but equally as important to enhance the student’s critical thinking and problem solving skills in an appropriate context, once a fundamental calculus core has been completed. Additionally, mathematics courses are offered that support the majors in business, the natural sciences, the health sciences, and education. Some of these courses satisfy the quantitative reasoning component of the general education requirement.

• MAT2400 Calculus I
• MAT2500 Calculus II, plus laboratory
• MAT2600 Calculus III, plus laboratory

Choose one from the following courses:

• MAT2816 Linear Algebra
• MAT3801 Modern Abstract Algebra I

and one from the following courses:

• MAT3203 Differential Equations

### Course Descriptions

This course discusses limits, continuity, derivatives, maximum and minimum problems, related rates, and Mean Value Theorem. The course will make active use of technology by requiring the use of a graphing calculator and computer software.

This course includes the study of integration, applications of the definite integral, transcendental functions, and methods of integration. The course will make active use of technology by requiring the use of a graphing calculator.

This course includes the study of hyperbolic functions, polar coordinates, vectors and parametric equations, l’Hopital’s Rule, sequences, infinite series, limits, continuity, partial differentiation, optimization, and multiple integration for functions of several variables. The course will make active use of technology by requiring the use of a graphing calculator.

This course includes the study of Gauss-Jordan elimination, matrices, determinants, real vector spaces, dot product, Gram Schmidt process, linear transformations, and eigenvalues. The course will make active use of technology by requiring the use of a graphing calculator.

This course includes the study of integers, equivalence relations, partitions, and groups. The material on groups includes subgroups, group homomorphisms and factor groups as well as the fundamental group homomorphism theorem.

This course examines ordinary and partial differential equations, particularly of the first and second orders, including geometrical interpretations and applications.

This course covers an in-depth analysis of the fundamental properties of the real number system, including the completeness property, sequences, limits and continuity, differentiation through the Mean Value Theorem, and the Riemann integral.