Mathematics Degrees

All minors are required to complete successfully one of the courses:
Math 109: Statistical Methods
Math 210: Introduction to Statistical Analysis
All minors are required to complete successfully the the five courses:
Math 141: Calculus of a Single Variable I
Math 143: Calculus of a Single Variable II
Math 245: Multivariate Calculus
Math 309: Mathematical Statistics
Math 310: Applied Mathematical Statistics
Not open to mathematics majors.

The Mathematics and Computer Science Department may waive one or more of the foundation course requirements for students with advanced high school mathematics preparation.

The mathematics major gives a student a sound foundation in modern mathematics and its applications. The major is quite flexible, allowing for emphasis on pure or applied mathematics. In recent years mathematics majors have found excellent placement in a number of fields, including actuarial, computer applications, secondary teaching, and Ph.D. study.

Major Requirements

The mathematics major requires a total of 37 credit hours consisting of the following required courses:

MATH 151 Calculus I
MATH 152 Calculus II
MATH 253 Calculus III
MATH 254 Stokes’ and Green’s Theorems
MATH 271 Differential Equations
MATH 281 Foundations of Higher Mathematics
MATH 371 Linear Algebra
MATH 481 Modern Algebra
MATH 491 Advanced Calculus

Plus 6 hours of mathematics electives chosen from courses numbered above 300.

Most students pursuing a mathematics major choose their mathematics electives by following one of the following three options. The suggested advanced courses for the options include (but are not limited to) the following:

Business Option
MATH 351 Introduction to Operations Research
MATH 381 Mathematical Statistics
MATH 421 Numerical Mathematics

Scientific Option
MATH 381 Mathematical Statistics
MATH 401 Advanced Engineering Mathematics
MATH 421 Numerical Mathematics

Secondary Education Option
MATH 381 Mathematical Statistics
MATH 461 Geometry

MATH-06 Calculus with Elementary Functions
David A. Cox (Section 01)

MATH-11 Introduction to the Calculus
John D. Condon (Section 01)

MATH-12 Intermediate Calculus
Benjamin A. Hutz (Section 02)
Daniel J. Velleman (Section 01)

MATH-13 Multivariable Calculus
Robert L. Benedetto (Section 01)

MATH-15 Discrete Mathematics
David A. Cox (Section 01)

MATH-17 Introduction to Statistics
Amy S. Wagaman (Section 01)

MATH-20 Topics in Differential Equations
Tanya L. Leise (Section 01)

MATH-22 Linear Algebra with Applications
Tanya L. Leise (Section 01)

MATH-26 Groups, Rings and Fields
John D. Condon (Section 01)

MATH-28 Introduction to Analysis
Benjamin A. Hutz (Section 01)

MATH-30 Mathematical Statistics
Amy S. Wagaman (Section 01)

MATH-44 Topology
Robert L. Benedetto (Section 01)

The minor in Statistics provides the necessary background to do statistical analysis in professional or academic settings involving the collection and study of data. This minor is not open to Mathematics majors.

Students who minor in both Mathematics and Statistics can only apply MA 201, 202, 203 toward both minors.

1. Three courses in Mathematics
MA 201, 202, 203 Calculus I, II, III

2. Three courses in probability and statistics from the following:
MA 141 Elementary Statistics
MA 242 Intermediate Methods in Statistics
MA 341 Probability
MA 342, 343 Mathematical Statistics I, II

For many years, Arcadia University’s Computer Science and Mathematics Department has prepared students to pursue careers as actuaries—the highly paid insurance professionals who use mathematics to quantitatively assess risk. The Department’s actuarial science concentration is a program within the mathematics major. The program is administered by Dr. Louis Friedler, an Associate of the Society of Actuaries, and by Dr. Edward Wolff, a statistician with many years experience preparing students for actuarial careers.

To advance within the field of actuarial science, individuals must pass a series of exams administered by the Society of Actuaries and the Casualty Actuarial Society. These exams reflect the importance of both mathematics and business to this career. Arcadia University’s actuarial concentration offers courses covering the material for the first two of these exams.
Exam 1 / Exam P: Probability
Exam 2 / Exam MF: Mathematical Finance

The Department also offers Validation by Education Experience (VEE) actuarial credit in Applied Statistics, Finance, and Economics in cooperation with Arcadia’s Business Department. Details are available on the department’s Web page: http://gargoyle.arcadia.edu/mathcs.
Requirements

1. Required courses
MA 201, 202, 203 Calculus I, II, III
MA 221 Linear Algebra
MA 288 Actuarial Seminar
MA 341 Probability
MA 342 Mathematical Statistics I
MA 343 Mathematical Statistics II
MA 361 The Mathematical Theory of Interest

2. Required cognate courses (Students must satisfy the requirements for either the Bachelor of Arts or the Bachelor of Science. All BA and EC courses are three credits each.)
BA 201 Financial Accounting
BA 380 Principles of Finance
BA 382 Investments
EC 210 Principles of Macroeconomics
EC 211 Principles of Microeconomics
CS 201 Problem-Solving with Algorithms and Programming I

3. Recommended course
CS 104 Computer as a Tool

Academic Foundations Requirements
(See page 70) Students should consult with their advisors to determine if specific courses are necessary in order to satisfy the Academic Foundations requirements within this major. 37
Language Requirement (see page 114) 8
Required Core Courses
COMP 101 Fundamentals of Computer Science 4
COMP/MATH 305 Discrete Structures I 4
COMP/MATH 306 Discrete Structures II 4
COMP/MATH 371 Numerical Computing 3
COMP/MATH 372 Scientific Computing 3
MATH 110 Mathematical Computing 1
*MATH 112 Calculus I 4
MATH 113 Calculus II 4
MATH 301 Applied Linear Algebra 4
MATH 312 Multivariable Calculus 4
MATH/STAT 341 Probability 3
MATH 421 Algebraic Structures 3
MATH 498 Capstone Seminar V 1-3
STAT 441 Mathematical Statistics 3
Total Required Core Courses 45-47
Minor (Optional) 21
Electives 7-9
Total minimum credits required for degree 120

*May satisfy Academic Foundations requirements.

Certain courses in this program have prerequisites; students should check the course descriptions for required prerequisites.

SUGGESTED PLAN OF STUDY
Bachelor of Science Major in Mathematics
The following sample schedule is a suggested plan for students to follow in completing the Bachelor of Science Major in Mathematics. Due to course schedule changes and staff assignments, students may not be able to follow the plan exactly. Students should consult with their advisors to plan classes before registering each semester.First Year F S
ENGL 150 3
MATH 110 1
MATH 112 4
MATH 113 4
COMP 101 4
Language 4 4
Academic Foundations 6
Total 16 14
Second Year F S
MATH 301 4 4
MATH 312 4
Academic Foundations 8 10
Total 16 14
Third Year F S
COMP/MATH 305 4
COMP/MATH 306 4
MATH/STAT 341 3
STAT 441 3
Academic Foundations 3 3
Minor 6 5
Total 16 15
Fourth Year F S
COMP/MATH 371 3
COMP/MATH 372 3
MATH 421 3
MATH 498 3
Minor 5 8
Electives 4
Total 14 15

Elementary education majors may earn a concentration in mathematics by taking a total of 15 credit hours in mathematics, six of which must be from 300-level or above courses.

Track III: Actuarial Science Becoming an actuary

Students interested in becoming an actuary should elect this option. In addition to the foundation requirements, students must take;
MA220 Statistical Methods*
MA340 Calculus III
MA304 Probability and Mathematical Statistics
MA313 Numerical Analysis
MA314 Advanced Mathematical Statistics
MA499 Senior Seminar

The following courses are highly recommended.
EC100 Macroeconomics*
EC110 Microeconomics*
CS130 Computer Science I
AC230 Introduction to Financial Accounting
AC240 Introduction to Managerial Accounting
MK300 Introduction to Marketing
FI340 Introduction to Financial Management*
FI352 Investments

*Approved VEE Courses at Millikin University

The following courses have been approved by the Society of Actuaries for VEE at Millikin University:

VEE Economics – EC100 and EC110

VEE Statistical Methods (regression component) – MA220

VEE Corporate Finance – FI340

Students who have completed Track III and all highly recommended courses will be prepared to take the first two Actuarial Examinations (1/P and 2/FM) of the Casualty Actuarial Society and the Society of Actuaries.

Students who complete any two of the courses FI354, FI365, FI361, EC310, EC312 or EC322 in addition to all of the highly recommended courses will earn a minor in Finance from the Tabor School of Business.

Track IV: Computer Science

Students interested in computational mathematics and computer science should elect this option. In addition to the foundation requirements, students must take
MA340 Calculus III
MA313 Numerical Analysis
MA308 Theory of Computation
MA499 Senior Seminar
CS130 Computer Science I
CS230 Computer Science II
CS335 Advanced Computer Programming
CS337 Algorithms and Data Structures

For more information about majoring in mathematics at Millikin University please call Dr. Miller (217-424-6215 ).

Mathematics Major with Secondary Education Certification

Students interested in teacher certification should elect this option. In addition to the foundation requirements, students must take;
MA220 Statistical Methods
MA301 College Geometry
MA304 Probability and Mathematical Statistics
MA320 History of Mathematics
MA403 Abstract Algebra
MA425 Methods of Teaching Mathematics in Grades 6 through 12
Two (2) courses selected from:
MA340 Calculus III
MA305 Differential Equations
MA313 Numerical Analysis
MA314 Advanced Mathematics Statistics
MA471 Internship in Methods of Teaching Mathematics
MA491 Independent Study

Teacher certification also requires special coursework in education and other areas. See the School of Education section for details. Students should consider preparation in a second teaching field to increase the breadth of their knowledge and the probability of finding a teaching position upon graduation. Past experience indicates that biological, physical or general sciences, computer science or physical education (coaching) combinations with mathematics are sought by schools.

Students interested in immediate employment or graduate study in applied mathematics should elect this option. In addition to the foundation requirements, students must take;
MA340 Calculus III
MA305 Differential Equations
MA313 Numerical Analysis
MA403 Abstract Algebra
MA499 Senior Seminar
Two (2) courses selected from:
MA301 College Geometry
MA304 Probability and Mathematical Statistics
MA308 Theory of Computation
MA314 Advanced Mathematics Statistics
MA320 History of Mathematics
MA472 Internship
Computer Science I (CS130) is highly recommended for applied mathematics majors