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Insight into the nature of mathematics

Develop the powers of clear and logical thinking, accuracy, and flexibility in problem solving.

Students in Mount Mercy’s mathematics program are fully integrated into an environment that supports a variety of research and learning opportunities.

Our faculty have mentored students in both pure and applied mathematics projects, such as growth models in conservation biology, applying statistics to the prediction of Iowa high school baseball brackets, regression analyses of local housing markets, and computations in low dimensional topology (knot theory).

While earning your degree, you’ll work closely with your professors and fellow students to develop vital teamwork skills. You’ll also learn to think logically, work accurately, and clearly express mathematical ideas while putting problem-solving skills into action.

Wyatt O'Connor Mathematics major

Since math isn’t most people’s cup of tea, it can be difficult for students, but every day I get to see the students learn. I love seeing it ‘click’ when they really get something.


A flexible curriculum lets you pursue the path that best matches your career goals.

Mathematics majors build skills that prepare them, for example, to: understand topics in pure and applied mathematics; perform rigorous mathematical proofs; apply mathematics and technology to solve problems in related fields such as science or business; and express mathematical ideas in standard English to a general audience.

What courses will I take?

Mathematics Major

CS 105Fundamentals Of Computer Science4
MA 162Discrete Mathematics3
MA 164Calculus I4
MA 165Calculus II4
MA 166Calculus III3
MA 202Linear Algebra3
MA 380Senior Seminar in Mathematics3
MA 245Differential Equations3
or MA 214 Probability And Statistics
MA 364Modern Algebra3
or MA 374 Analysis I
Choose Mathematics Electives (MA courses above 162. May include one CS course above 105 excluding CS 203.)12
Total Hours42

Students planning to pursue teacher education should follow the program guidelines within the education section of this Catalog and contact an advisor in the education department for assistance.

Academic Requirements

Minimum cumulative grade point average of 2.00 in courses required for the major. MA 364 Modern Algebra, MA 374 Analysis I and MA 380 Senior Seminar in Mathematics must be passed with a grade of C or better to be counted toward the major.

No major credit will be given for math courses below MA 162 Discrete Mathematics. Courses that are numbered higher than MA 162 Discrete Mathematics count as math electives. One computer science course numbered higher than CS 105 Fundamentals Of Computer Science, excluding CS 203 Information Ethics, may count as a math elective. 

Students cannot double major between Mathematics and Mathematics - Education

Mathematics Minor

MA 162Discrete Mathematics3
MA 164Calculus I4
MA 165Calculus II4
MA 166Calculus III3
MA 202Linear Algebra3
MA 245Differential Equations3
or MA 214 Probability And Statistics
Choose One of the Following: 3
CS 105
Fundamentals Of Computer Science
MA 210
Introduction To Graph Theory
MA 214
Probability And Statistics
MA 245
Differential Equations
MA 323
Foundations Of Modern Geometry
MA 364
Modern Algebra
MA 374
Analysis I
MA 399
Special Topics: Mathematics
Total Hours23

Academic Requirements

Minimum cumulative grade point average of 2.00 in courses required for the minor.

The following is the typical sequence of courses required for the major*:

MA 1644Domain3MA 1654
CS 1054 MA 1623
Writing Competency4 CO 1013
Portal3 Domain3
 15 3 13
MA 1663Domain3MA 2023
Required Choice 1 or Math Elective13 Domain or Required Course 113
Domain3 Domain3
Domain3 Domain3
 12 3 12
Required Course 2 or Math Elective13Math Elective13Domain3
Domain or Math Elective13 Required Choice 2 or Math Elective13
Domain3 Domain3
Domain3 Elective3
Elective3 Elective3
 15 3 15
Elective or Math Elective13Math Elective13MA 3803
Elective3 Elective or Math Elective13
Elective3 Elective3
Elective3 Elective3
Elective3 Elective2
 15 3 14
Total Hours: 123

Note: Elective courses could be used for a second major, a minor, a course of interest, internship or study abroad experience.

Note: See the Curriculum section for more information on Portal, Competency, Domain, and Capstone courses.


Required Choice 1: MA 245 Differential Equations or MA 214 Probability And Statistics

Required Choice 2: MA 364 Modern Algebra or MA 374 Analysis I

Math Electives: MA courses about MA 162 Discrete Mathematics. May include one CS course above CS 105 Fundamentals Of Computer Science excluding CS 203 Information Ethics


The course offerings, requirements, and policies of Mount Mercy University are under continual examination and revision. This Catalog presents the offerings, requirements, and policies in effect at the time of publication and in no way guarantees that the offerings, requirements, and policies will not change.

This plan of study represents a typical sequence of courses required for this major. It may not be applicable to every student. Students should contact a department faculty member to be sure of appropriate course sequence.


MA 004 Beginning Algebra: 1 semester hour

This course is designed to provide remedial work for those students who enter college poorly prepared in mathematics. Class will focus on basic computational skills, dimensional analysis, irrational numbers, scientific notation, interpretation of graphs, basic geometric concepts, and an introduction to basic algebra. Emphasis will be on problem solving and reading for math.

MA 006 Intermediate Algebra II: 2 semester hours

The class covers the topics of intermediate algebra including inequalities, linear equations, systems of linear equations, quadratic equations, exponents, ratio, proportion, variation, and graphing. Returning students who have not been in a math class for a number of years might find this course a good choice in preparation for their statistics or core curriculum mathematics course. It offers a review of mathematics concepts. For students placed in the class, it is a prerequisite for their core curriculum class choice.

MA 125 Fundamentals Of Arithmetic & Logic: 3 semester hours

This course will introduce some key concepts of mathematics: sets, logic, and numbers. We will use these to understand the Hindu Arabic numeration system, arithmetic, and measurement. In particular, we look at how numbers and operations correspond to reality and why our computational algorithms work. This course is designed to cover ideas of interest to the elementary education major; it does not prepare a student for the computational portion of the GRE. Elementary Education majors are given preference in enrolling in this course. Prerequisite: Two years of high school algebra or MA 006.

MA 130 Finite Mathematics: 3 semester hours

Finite mathematics will look briefly at a variety of topics, including systems of linear equations, matrices, linear programming, combinatorics, probability, sequences and series, and interest on money. Prerequisite: Two years of high school algebra or MA 006.

MA 132 Basic Mathematical Modeling: 3 semester hours

A mathematical model is a simplification of reality that is mathematically manageable. This course examines some specific models that are widely useful, but most of its focus is on choosing or creating a model, using the model to draw conclusions and refining a model when it is not sufficiently useful. Hence, mathematics is used to solve real life problems. Technology (e.g. Excel) will be used frequently. While algebra skills are needed, additional mathematics will be developed within the course; in particular, difference equations are necessary and logarithms are useful. Prerequisite: high school algebra 2 or MA 006 Intermediate Algebra, or departmental approval.

MA 135 Basic Statistics: 3 semester hours

This course is an introduction to the basics of probability as well as descriptive and inferential statistics. Topics include measures of central tendency, measure of dispersion, histograms, the normal and binomial distributions, hypothesis testing, confidence intervals, chi-square distribution, correlation, and prediction. Prerequisite: two years of high school algebra, MA 006, or departmental approval.

MA 139 Pre-Calculus: 4 semester hours

Pre-Calculus is a collection of topics necessary for the successful completion of a year of calculus. Basically, a good knowledge of pre-calculus is a comfortable familiarity with the idea of function and with most of the basic functions, including polynomials, rational functions, exponential, logarithmic and trigonometric functions. This comfortable familiarity allows one to solve equations and inequalities involving these various functions and to produce function rules from graphs or graphs from function rules. Prerequisite: three years of high school mathematics (including Algebra 2 and Geometry), an A- in MA 006, or the consent of the instructor.

MA 145 History of Mathematics for Elementary Education: 3 semester hours

This is a combination of the mathematics that elementary education majors have already seen with the history of mathematics. The goal is for elementary teachers to have a sense of what mathematics is and how the skills they will teach connect to modern mathematics. The course will include a study of the evolution of mathematics from ad hoc empirical techniques to the Greek notion of mathematics as a theoretical structure which gives certain knowledge about reality, which in turn yielded to modern mathematics - an abstract construct, possibly consistent, which does not of necessity illuminate reality. Prerequisite: At least 18 hours of the mathematics required for the original endorsement in elementary mathematics.

MA 162 Discrete Mathematics: 3 semester hours

The purpose of this course is to present various mathematical topics including an introduction to proof writing as well as topics that are essential to computer science. Topics to be covered include non-decimal numeration systems; prefix and postfix notation; the basic operations of sets, relations, and functions; induction and recursion; equivalence and congruence relations; propositional logic, truth tables, logical equivalence, and implications; non-decimal numeration systems; prefix and postfix notation; Boolean algebra and switching theory; matrices and determinants; permutations and combinations; graph theory and directed graphs. Prerequisite: MA 139 or equivalent, or permission of instructor.

MA 164 Calculus I: 4 semester hours

Introduction to Calculus I begins with a review of analytical geometry and basic functions. It then introduces limits, continuity, the derivative, and the antiderivative. Also included are the techniques of differentiation and applications of the derivative. Prerequisite: grade of C or better in MA 139 or equivalent course or permission of instructor.

MA 165 Calculus II: 4 semester hours

This course introduces the definite integral and its applications along with the techniques of integration. It also includes logarithmic and exponential functions, the trigonometric functions, and their universes. Prerequisite: grade of C or better in MA 164.

MA 166 Calculus III: 3 semester hours

Calculus III includes the more advanced topics of basic calculus. Included are polar coordinates, approximate integrations, indeterminate forms and improper integrals, solid analytic geometry, infinite series and functions of several variables. Prerequisite: grade of C or better in MA 165.

MA 202 Linear Algebra: 3 semester hours

This course introduces the basic topics and techniques of linear algebra. Topics include linear systems, matrices, determinants, general vector spaces, subspaces, basic and dimension, inner product spaces, orthonormal bases, changing bases, linear transformations and their properties, eigenvalues, eigenvectors, diagonalization. Students will gain mathematical maturity in writing proofs. Students are encouraged to take MA162 before this course. Prerequisite: MA 164.

MA 210 Introduction To Graph Theory: 3 semester hours

This course introduces concepts of graph theory and some of the most interesting and important theoretical results in the field. Concepts discussed include directed and undirected graphs, trees and general graphs, planarity in graphs, graph colorings, network flow and connectivity, matching and independent sets, and graph algorithms and applications. Prerequisite: MA 162.

MA 214 Probability And Statistics: 3 semester hours

The basic concepts of probability theory and mathematical statistics will be examined. Topics to be discussed include probability spaces, random variables, multivariate distributions, expectation, random sampling, central limit theorem, and confidence intervals. Prerequisite: MA 162 and MA 165.

MA 245 Differential Equations: 3 semester hours

Methods of solution for the first-order as well as higher order differential equations will be discussed. Other topics to be covered include problems in mechanics, rate problems, series solutions, and systems of linear differential equations. Corequisite: MA 166.

MA 250 Mathematical Theory of Interest: 3 semester hours

This course is an introduction to financial mathematics and is designed for those who want to study for the Society of Actuaries' exam on financial mathematics. Topics will include the measurement of interest, annuities using sequences and series, amortization schedules and other relevant topics. Prerequisite: MA 165.

MA 266 Introduction To Numerical Methods: 3 semester hours

The purpose of this course is to introduce the numerical techniques used in the solution of mathematical problems. Topics include interpolation, non-linear equations, systems of linear equations, error analysis and norms, matrix inversion, differentiation, integration, and curve fitting. Prerequisite: MA 165.

MA 323 Foundations Of Modern Geometry: 3 semester hours

This course aims at showing the student the need for a rigorous, abstract, deductive treatment of geometry. It includes a study of geometry developed without using a parallel postulate and goes on to show how separate geometrics evolve when different parallel postulates are added, in turn, to common body definitions, axioms, and theorems. Prerequisites: Grade of C or better in MA 162.

MA 330 Financial Mathematics for Actuaries I: 3 semester hours

This course serves as an introduction to derivative contracts and option combinations. It also covers Arbitrage-free option bounds & early exercise of American options. Arbitrage-free valuation and risk-neutral pricing are used to price vanilla and exotic contracts using the binomial asset pricing model in discrete time, and the quantitative strategies to hedge portfolios consisting of such assets are also discussed. Prerequisite: MA 164, MA 165, MA 202, MA 214, and MA 250.

MA 340 Financial Mathematics for Actuaries II: 3 semester hours

This course covers the rational valuation of stock and currency options and the application of option “Greeks" to solve a range of problems. It also serves as an introduction to lognormal pricing, Monte-Carlo simulations, and Brownian motion. Finally, it explores the interest rate models of Vasicek, Cox-Ross-Ingersoll, and Black-Derman-Toy to model and price derivatives on bounds. Prerequisite: MA 164, MA165, MA 202, MA 214, MA 250, MA 330.

MA 350 Actuarial Science and Risk Management: 3 semester hours

This course corresponds to the LCMC course Actuarial Science and Risk Management with R. The focus of this course is on team-based problem solving in actuarial science & risk management. Students will learn the fundamentals of the R programming language, RStudio and RMarkdown, and use these tools to complete a range of projects. Projects vary, but may include bond and loan amortization, analysis of the efficient frontier and the capital asset pricing method, insurance liability & estimates of expected loss. This course culminates in a capstone project that ties together skills from throughout the Actuarial Sciences program. Prerequisite: MA 164, MA165, MA 202, MA 214, MA 250, MA 330, MA 340.

MA 364 Modern Algebra: 3 semester hours

Modern algebra introduces the student tot groups, rings, integral domains, and fields using as examples the ring of integers and the fields of rational, real, and complex numbers. Also included are isomorphisms and homomorphism. Prerequisite: grade of C or better in MA 202 and MA 162.

MA 374 Analysis I: 3 semester hours

Analysis develops the theoretical underpinnings of calculus. The key idea is a precise definition of limit, one which never used the words "infinitely close" or "infinitely small". Using this fundamental definition, we revisit the ideas of calculus: continuity, the derivative and the integral. In addition, we consider sequences and the topology of the real numbers. Prerequisite: grade of C or better in MA 202 and MA 162.

MA 380 Senior Seminar in Mathematics: 3 semester hours

A capstone course in Mathematics or related field. Students will work independently or in groups on a project in mathematics or related field. This project will be developed in consultation with the instructor. Students will interact with professional mathematics via journals, monographs, books, etc. Students will regularly meet with the instructor to present findings, discuss problems, and determine future actions. This course includes substantial writing and speaking. Prerequisite: senior standing and at least 27 semester hours of math major credit or permission of instructor.

MA 399 Special Topics: Mathematics: 3 semester hours

This course gives students the opportunity to take electives in areas of special interest to them since the topic covered varies from one semester to the next. Topics selected from both pure and applied mathematics such as real analysis, complex analysis, number theory, set theory, optimization theory, graph theory, coding theory, fractals, and operations research will be taught. This course may be taken more than once provided a different topic is being taken each time. Prerequisite MA 162, MA 166, and MA 202 or permission of the instructor. (Offered every year).

MA 425 Internship in Mathematics: 3 semester hours

Special opportunities may be available with area businesses for an internship involving topics in mathematics. These internships include off-campus supervision at the business and periodic meetings with the on-campus instructor who will also determine any additional requirements on an individual basis. (Maximum of one semester credit for each forty hours worked at the business, up to a maximum of 6 semester hours, a maximum of 3 of which can count for a mathematics major elective.).

MA 445 Independent Study: 3 semester hours

Study topics will be negotiated by the student and his/ her advisor.

Careers in mathematics

Our graduates are in demand by many local employers.

A mathematics degree can lead to careers in medicine, finance, engineering, computer science, analysis, statistics, teaching, law and more.

Students who seek careers as secondary education teachers complete a double major in math and in secondary education. Other common programs to double major with include actuarial science or computer science. And for non-math majors seeking to enhance their mathematical foundations, Mount Mercy also offers a math minor.

Our graduates have worked for companies like Transamerica and Rockwell Collins using their mathematics major as the backbone of their career paths. Some alumni share their talents with the Armed Forces, while others are insurance professionals or work with computer technology.

Math majors can also advance to graduate schools including University of Iowa, Iowa State, or Colorado State University.

Graduates from Mount Mercy are now working in:

  • The Armed Forces 
  • Computer Programming 
  • Computer Networking 
  • Insurance 
  • College and High School Teaching

What are the next steps?

Mount Mercy offers competitive tuition and generous scholarships.

We also encourage all students to apply for federal, state, and other kinds of financial assistance.

Learn more about:

We make it easy by accepting applications year-round! No deadline, no fee, no pressure.

  1. Create your application
  2. Apply under standard admissions criteria or go "test optional"
  3. Request official transcripts from all institutions previously attended. Mail to:

* Mount Mercy University Admissions
  1330 Elmhurst Drive NE
  Cedar Rapids, Iowa 52402

* If you are applying for an accelerated program, please mail to "Accelerated Programs"

For more detailed instructions on how to apply, see our Admissions page.