Mathematics at Aquinas College

Mathematics Major (BS)

>Two-Year Rotation of Courses
*Two year course rotations are not binding and are subject to change

Major Requirements: Thirty-two (32) semester hours.

Required Courses:

  • MS121 (MS)
  • MS122 (MS)
  • MS231 (MS)
  • MS232 (MS)
  • MS321 (MS)
  • Thirteen (13) semester hours selected from courses having MS121 as a prerequisite (excluding MS375). Also, MS282 can count toward these 13 (thirteen) semester hours, as can one (1) hour from MS252 and CA210.

At least sixteen (16) semester hours of mathematics major requirements must be taken at Aquinas, and students must successfully complete the capstone requirement detailed below.

The Mathematics Department’s capstone requirement can be satisfied by taking Mathematics Capstone MS495.

Courses

  • MS121 Calculus I (4) MS

    Functions, limits, continuity, derivatives, antiderivatives, Fundamental Theorem of Calculus, solids of revolution. This course has five contact hours per week. Prerequisites: Three and one-half years of college-preparatory math, including trigonometry or MS114.

  • MS122 Calculus II (4) MS

    Inverse functions, integration techniques, integrals with applications, conic sections, polar coordinates, parametric equations, sequences and series. This course has five contact hours per week. Prerequisites: MS121

  • MS231 Multivariate Calculus (4) MS

    Vector and solid geometry, vector-valued functions, calculus of curves in space, functions of several variables, partial differentiation, multiple integration, and vector analysis. Prerequisite: MS122.

  • MS232 Linear Algebra (3) MS

    Systems of equations, matrices, determinants, vector spaces, linear transformation, eigenvalues, eigenvectors, and canonical forms. Prerequisite: MS122.

  • MS321 Abstract Algebra (4) MS, WI

    Sets, functions, equivalence relations, integers, mathematical induction, modular systems, permutations, groups, rings, fields, isomorphisms,and homomorphisms. Prerequisite: MS122, MS232 (MS240 recommended)

  • MS282 Applied Statistics with R (3) MS

    The course is designed to provide participants with a basic understanding of common statistical computing approaches and how to apply those approaches to common industry and research scenarios. Following completion of the course, students will possess the requisite programming skills to function as a programmer analyst in an analytical work environment. Topics include: importing/exporting data in various formats; character and numeric manipulation; merging; subsetting, and combining data sets; effective programing with common data structures; and producing high quality graphics and reports for end users. The free and open source R programming language will be used extensively throughout the course to teach fundamental programming concepts and applied statistical approaches. Introductory Statistics with R {Daalgard 2008} will serve as a supplemental text to aid in retention and understanding of the topics covered.

  • MS252 Statistics (3)

    Designed for students who have had at least three (3) years of high-school mathematics or its equivalent. Topics to be covered include frequency distributions, variability, probability, sampling, estimation, testing, hypotheses, analysis of variance, regression and correlation analysis, and nonparametric tests. (Course counts as three (3) semester hours toward a minor, but only one (1) semester hour toward a major.) Prerequisite: MS114.This course is not accepted for the General Education Mathematics requirement.

  • CA210 Math and Theology

    Three influential mathematical developments of the 20th century have had repercussions in theology: Gödel’s Incompleteness Theorems, Cantor’s transfinite cardinals and non-Euclidean geometries. We will learn enough math to support our understanding of these results. We will also consider the historical, philosophical and theological contexts in which these results were developed, exploring various controversies associated with these developments. This course also earns one (1) semester hour toward the math major or minor.

  • MS495 Mathematics Capstone SC

    An in-depth exploration of career options for mathematics majors. Each student, with the instructor’s assistance, will formulate and carry out a plan to gain first-hand knowledge of the kinds of work mathematics majors do after college. The knowledge will come by the way of job shadowing, classroom observations, attendance at career fairs, graduate school visits, conference participation, or other opportunities that will give students the opportunity to see how a degree in mathematics might be used in the world.