# Mathematics

Mathematics Degrees with Certification

A student completing the Mathematics major should be able to attend graduate school or receive employment in such areas as mathematics, computing, engineering, business, economics, statistics, cartography, the physical sciences, and other fields requiring strong quantitative skills. The Mathematics major is also designed to prepare the student to teach the Mathematics courses commonly offered in middle and secondary schools. All majors are required to pass a Mathematics Department assessment examination. Mathematics courses numbered below 105 are not credited for the major. A maximum of three hours in internship may count toward the major.

CMU has a chapter of Kappa Mu Epsilon, the national honorary undergraduate mathematics fraternity (advisors: Prof. Pam Gordy and Dr. Grant Swicegood).

## Mission Statement

The mathematics major is designed to prepare students to work in areas which require critical thinking skills and the ability to work with mathematical concepts. Students who complete a mathematics major at CMU are prepared to enter the job force in jobs requiring mathematical expertise and critical thinking skills, to attend graduate school in mathematics, statistics and/or engineering, and to teach mathematics in the middle and secondary grades.

## Programmatics Learning Outcomes

1. Demonstrate Proficiency in Mathematics

2. Communicate Mathematical Concepts

3. Apply Mathematical Knowledge

## Mathematics Minor

Required Coursed (3-5):

MA112 Selected Topics in Calculus (3) OR MA118 Calculus and Analytic Geometry (5)

Electives in Mathematics (12-14 HOURS)

## Mathematics Courses

**MA090 Computer-Assisted Pre-algebra. **3 hours. This course is designed for students who lack the necessary arithmetic and/or
algebraic skills to undertake courses in mathematics and science. This course emphasizes
individualized instruction and computer-assisted learning. Concepts are divided into
modules which students must master to progress in the course. Students who complete
all the required modules have met the prerequisite for MA103 College Algebra (Intensive)
5 hr. course. Students are placed into the class based on University policy or by
permission of the Chair. Course hours will not count toward graduation.

**MA103 College Algebra (Intensive).** 5 hours. A study of equations and inequalities, functions and graphs, and systems
of equations and inequalities. This course is designed to allow students to study
algebra at a slower pace. Students are placed into this class based on University
policy or by permission of the Chair. (Student with an ACT Math subscore of 20 or
21, or who have successfully completed MA090 are eligible for this course)

**MA103 College Algebra.** 3 hours. A study of equations and inequalities, functions and graphs, and systems
of equations and inequalities. Prerequisite: ACT Math subscore greater than or equal
to 22. Fall/Spring.

**MA104 Analytic Geometry and Trigonometry.** 3 hours. Theory and application of the trigonometric functions. Primarily for students
preparing for calculus or physics. Prerequisite: ACT Math subscore greater than or
equal to 22; or MA103 or MA103I with a grade of C or better; or by permission of the
Chair. Spring.

**MA105 Elementary Statistics.** 3 hours. An introduction to basic statistical procedures and inference, with emphasis
on applications and statistical reasoning. Topics include data collection and presentation,
descriptive statistics, probability, probability distributions, confidence intervals,
hypothesis testing, correlation and regression. Prerequisite: ACT Math subscore greater
than or equal to 20; or MA090 with a grade of C or better; or by permission of the
Chair. For students with an ACT Math subscore of 21 or lower, MA103I College Algebra
or MA109I Quantitative Reasoning is strongly recommended. Fall/Spring.

**MA109 Quantitative Reasoning.** 3 hours. An introduction to important mathematical ideas and their impact on society,
with a focus on problem solving skills that can be applied to all fields. Topics include
proportional reasoning, modeling, and probability; may also include sets and Venn
Diagrams, logic, finance, voting systems, graph theory, game theory, and linear programming.
Prerequisite: ACT Math subscore greater than or equal to 22; or MA090 with a grade
of B or better; or by permission of the Chair. Fall/Spring.

**MA109I Quantitative Reasoning (Intensive).** 5 hours. This course provides additional support and supplemental instruction for
students who have met the prerequisites below. An introduction to important mathematical
ideas and their impact on society, with a focus on problem solving skills that can
be applied to all fields. Topics include proportional reasoning, modeling, and probability;
may also include sets and Venn Diagrams, logic, finance, voting systems, graph theory,
game theory, and linear programming. Prerequisite: ACT Math subscore of 20 or 21;
or have successfully completed MA090; or by permission of the Chair. Fall/Spring.

**MA112 Selected Topics in Calculus.** 3 hours. An introduction to the basic concepts of calculus with business and social
science applications. Prerequisite: Meet or exceed University policy for College Algebra
(3 hour course); or MA103 or MA103I with a C or better. Not open to students having
credit in MA118 or its equivalent. Even-numbered Springs.

**MA118 Calculus and Analytic Geometry I.** 5 hours. The differentiation and integration of algebraic functions and transcendental
functions of a single variable, and an introduction to analytic geometry. Prerequisites:
ACT Math subscore greater than or equal to 22; or MA103 or MA103I with a grade of C
or above; and MA104 with a grade of C or better; or by permission of the Chair. Students
having MA112 credit receive 3 hours for this course. Fall.

**MA202 Elements in Geometry. **3 hours. This course covers the general topics of Euclidean geometry. Students will
become familiar with geometry terminology, principles and proofs. Emphasis is on
deductive reasoning and problem solving, particularly in geometric based applications.
This course is recommended for all students majoring in BSE, Middle School Certification
with a Concentration in Mathematics. This class does not meet the geometry requirement
for mathematics majors. Prerequisite: Meet or exceed University policy for College
Algebra (3 hour course); or MA103 or MA103I with a grade of C or better; or by permission
of the Chair

**MA207 Discrete Mathematics. **3 hours. Introduction to discrete mathematics topics including counting methods, graph
theory, recursion, number theory, and writing proofs using direct and indirect reasoning
and induction. Prerequisite: ACT Math subscore greater than or equal to 22, or MA103
or MA103I with a grade of C or better; or by permission of Chair. Odd-numbered Spring.

**MA209 Calculus and Analytic Geometry II.** 5 hours. Applications of integration; the differentiation and integration of transcendental
functions, and topics in analytic geometry. Prerequisite: MA118. Spring.

**MA224 Mathematics for Elementary and Middle Grade Teachers.** 4 hours. Mathematics central to a comprehensive elementary and middle school mathematics
curriculum in a problem solving context. Includes the development of the real numbers
as a mathematical system and an informal introduction to geometric concepts. Only
Early Childhood majors may count this course for the General Education Common Core.
Fall and Spring.

**MA303 History of Mathematics.** 3 hours. A study of the history of mathematics. Prerequisite: MA112 or MA118 or instructor's
permission. Even-numbered Falls.

**MA305 Statistics II.** 3 hours. This is a continuation of the study of statistics that began in MA105. Topics
include but are not limited to experimental design, non-parametric techniques, regression
analysis, and ANOVA. Prerequisite: MA105 with a grade of C or better. Spring.

**MA308 Calculus and Analytic Geometry III.** 5 hours. The calculus of several variables, solid analytic geometry, and series.
Prerequisite: MA209. Fall.

**MA315 Differential Equations.** 3 hours. The study of ordinary differential equations using operational, transform
and/or series methods, with selected applications. Prerequisite: MA308. Spring. (subject
to enrollment).

**MA317 Modern Algebra.** 4 hours. Topics from number theory, groups, rings, integral domains and fields. Prerequisite:
MA209. Odd-numbered Fall..

**MA318 Matrices and Linear Algebra.** 3 hours. Introduction to matrix algebra and vector fields, with applications. Prerequisite:
MA118 or MA112. Spring.

**MA319 College Geometry.** 4 hours. The rigorous development of geometry from foundational axioms, with consideration
of absolute, Euclidean, and some non-Euclidean geometry. Prerequisite: MA118 or MA112;
or permission of instructor and division chair. Odd-numbered Fall.

**MA321 Introduction to Real Analysis.** 3 hours. Students will study the real number system, limits, sequences, series, and
convergence; completeness; limits and continuity; and selected topics from differentiation
and integration theory. Prerequisites: MA118, MA209, MA308 or equivalents. Even-numbered
Spring.

**MA322 Computers in the Mathematics Classroom.** 3 hours. This course is designed to prepare mathematics educators to write mathematical
documents that are of publishable quality. Students will also be instructed in the
use of current mathematical software that includes, but may not be limited to, Geogebra
and Desmos. Prerequisites: MA118 and MA209 or equivalent; or by instructor's permission.
Fall.

**MA360 Special Problems.** 1-5 hours.

**MA480 Senior Projects (Capstone).** 3 hours. A course tailored to the individual student's needs. Special projects will
be designed to extend each student's area of interest. Prerequisite: Math major with
Junior or Senior standing or with permission of the instructor.