The Science and Mathematics Department will be recognized as a center of excellence for pedagogical innovation.

**FOR INFORMATION contact**

Ken Williams, Ph.D.

Liberal Arts Building, Room 327

Direct: (313) 927-1318

E-Mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

**PROGRAMS OFFERED**

Bachelor of Science, Mathematics Major (B.S.)

Bachelor of Arts, Mathematics Major (B.A.)

Bachelor of Arts, Mathematics Major for Elementary Teaching (B.A.)

Mathematics Minor

Mathematics Minor for Elementary Teaching

Elementary and Secondary Teacher Certification

Elementary and Secondary Mathematics

Endorsement

Pre-engineering Program

FACULTY

Jana Abolins, Ph.D.

Charles Brian Crane, Ph.D.

Ken Williams, Ph.D.

**More Information**

**CAREER INFORMATION**

The demand for graduates with good mathematical and
analytical skills is always strong. Marygrove graduates are
currently working as teachers, systems analysts and computer
programmers. If you decide to pursue a career or graduate
studies after graduation, your mathematical knowledge will
be invaluable.

The department of mathematics offers undergraduate courses for students interested in a variety of careers. You might become an elementary or secondary teacher or work with computers. You might pursue a career in the natural or physical sciences, continue with graduate studies or, with additional statistics courses, become an actuary.

**POTENTIAL CAREERS**

Computer programmer • Systems Analyst • Statistician • Researcher • Engineer • Teacher • Actuary • Mathematician

**GENERAL INFORMATION**

The Mathematics Program offers undergraduate courses in
mathematics, a Bachelor of Science and a Bachelor of Arts
degree with a major in mathematics, a Bachelor of Arts degree
with a major in mathematics for elementary teaching, a
minor in mathematics, a minor in mathematics for elementary
teaching, and elementary and secondary mathematics
endorsement programs. You may take courses designed to build
basic math skills, as well as calculus, differential equations,
discrete mathematics, linear algebra, probability and statistics,
and college geometry.

**SPECIFIC INFORMATION**

The Bachelor of Science or Bachelor of Arts degree with a
major in mathematics prepares you to be a problem solver and
a part of the answer for tomorrow’s problems. Whether you
are interested in solving the problems of the nuclear industry,
population growth, natural resources, education or the stock
markets, mathematics is an essential element. The Bachelor
of Arts degree with a major in mathematics for elementary
teaching prepares you to be a leader in mathematics curriculum
and mathematics teaching in the elementary schools.

The B.S. mathematics major consists of 34 credit hours in mathematics, and 48 total credit hours in mathematics and science; the B.A. mathematics major consists of 34 credit hours in mathematics; and the mathematics major for elementary teaching consists of 31 credit hours in mathematics. The minor in mathematics will complement any major area of study. A total of 20 credit hours in mathematics is required for a minor. A minor in mathematics will provide you with the knowledge required for advanced study in computer science, economics or any of the natural or physical sciences. The minor is particularly useful as a secondary teaching minor.

The minor in mathematics for elementary teaching requires 23 credits in mathematics and is designed to be an elementary teaching minor.

Students interested in Pre-Engineering should declare a B.S. in Mathematics major and will take a program of study that will prepare students to transfer to Engineering and Engineering Technology programs at other institutions to complete their upper level courses for graduation.

**SPECIAL ELEMENTS OF THE PROGRAM**

**Program Scheduling**

The B.S or B.A. in mathematics programs are primarily day
programs, although some courses are offered in the evening
on a rotating schedule.

**Transfer Student Information**

The department accepts transfer credits according to the
college guidelines. However, major coursework older than
10 years, from time of admittance, will be transferred in as
elective credit and may not be applied to the major. Students
may petition to the department chair for the older credits to
be applied towards the major.

**Credit for Prior Learning**

Learning derived from life experiences and from individual
study is of significant academic value and can often be
equated with college-level studies. Students may earn credit by
examination, tutorial study and cooperative work experience.
Permission of the department chair is required to select
these options. Not more than four credit hours in cooperative
work experience may be counted within the 120 credit hours
required for a degree.

**Academic Performance Standard**

Only required courses with a grade of C or better can be applied to fulfill the Mathematics major or minor.

**Computer Literacy Requirement**

Proficiency in Microsoft Office (Word, Excel, PowerPoint) must
be achieved prior to graduation. Students’ computer literacy
will be evaluated and assessed through the MTH 325, and the
senior seminar course sequence.
Writing Intensive Requirement
All mathematics majors must take MTH 265 as their writing
intensive course.

**Senior Seminar Requirement**

Students must successfully complete MTH 496A and MTH 496B
in order to graduate with a Mathematics Degree (B.A or B.S.).
Internship/Cooperative Education
It is strongly encouraged that students participate in a summer
undergraduate research experience either with a Marygrove
College faculty member, or by securing an off-campus
internship or fellowship before they graduate. Students may receive elective credit for an internship through MTH 388,
MTH 488, and/or MTH 491.

**Sigma Zeta National Honor Society**

Sigma Zeta is a national science and mathematics honor society.
It was founded at Shurtleff College, in Alton, Illinois in 1926.
Today, more than sixty local chapters are active in colleges and
universities across the United States. The society encourages and
fosters achievement of greater knowledge in the fields of science
and mathematics. Outstanding scholastic achievement in the
fields is recognized through membership in this society.

**Awards**

Students may be eligible to win the following departmental
awards based on their scholarly work and academic
performance. The Maria Kostecke Murphy Scholarship is given
to a deserving woman majoring in mathematics. The Antoinette
Joiner Award is given to an outstanding graduating senior
majoring in mathematics.

The Bachelor of Science degree with a major in mathematics requires completion of the following components‚ including a minimum of 34 credit hours in mathematics and 48 total credit hours in mathematics and science.

*A. General Education Requirements*

See GENERAL EDUCATION section of this catalog.

*B. Required Mathematics Courses*

MTH 251 Calculus I

MTH 252 Calculus II

MTH 254 Calculus III

MTH 265 Discrete Mathematics

MTH 300 College Geometry

MTH 325 Probability and Statistics

MTH 353 Linear Algebra

MTH 371 Differential Equations

MTH 380 Abstract Algebra

MTH 496A Senior Seminar: Library Research

MTH 496B Senior Seminar: Conclusion

*C. Related Discipline Requirements*

PHY 285 Physics I: Mechanics and Sound

PHY 286 Physics II: Electricity and Light
Additional classes in mathematics and/or science to attain
the required 48 credit hours in mathematics and science.

**D. Non-teacher certification students, with department
approval, may substitute MTH 270, Graph Theory,
for one of the required courses.**

**E. Required for Secondary Teacher Certification Students:**

MTH 347 Methods in Teaching Secondary Mathematics

The Bachelor of Arts degree with a major in mathematics requires completion of the following components‚ including a minimum of 34 credit hours in mathematics.

*A. General Education Requirements
*

See GENERAL EDUCATION section of this catalog.

*B. Required Mathematics Courses
*

MTH 251 Calculus I

MTH 252 Calculus II

MTH 254 Calculus III

MTH 265 Discrete Mathematics

MTH 300 College Geometry

MTH 325 Probability and Statistics

MTH 353 Linear Algebra

MTH 371 Differential Equations

MTH 380 Abstract Algebra

MTH 496A Senior Seminar: Library Research

MTH 496B Senior Seminar: Conclusion

*C. Non-teacher certification students, with department
approval, may substitute MTH 270, Graph Theory,
for one of the required courses.*

*D. Required for Secondary Teacher Certification Students:*

MTH 347 Methods in Teaching Secondary Mathematics

The Bachelor of Arts degree with a major in mathematics for elementary teaching requires completion of the following components‚ including a minimum of 31 credit hours in mathematics.

*A. General Education Requirements
*

See GENERAL EDUCATION section of this catalog.

*B. Required Mathematics Courses*

MTH 110 Elementary Functions

MTH 251 Calculus I

MTH 265 Discrete Mathematics

MTH 300 College Geometry

MTH 310 Concepts in Elementary Mathematics I

MTH 311 Concepts in Elementary Mathematics II

MTH 325 Probability and Statistics

MTH 330 Teaching Probability and Statistics in Grades K-8

MTH 496A Senior Seminar: Library Research

MTH 496B Senior Seminar: Conclusion

*C. Non-teacher certification students, with department
approval, may substitute MTH 270, Graph Theory,
for one of the required courses.*

The mathematics minor requires 20 credit hours in mathematics.

**A. Required Mathematics Courses**

MTH 251 Calculus I

MTH 252 Calculus II

MTH 265 Discrete Mathematics

MTH 300 College Geometry

MTH 325 Probability and Statistics

*B. Choose one of the following:
*

MTH 254 Calculus III

MTH 270 Graph Theory

MTH 353 Linear Algebra (Required for
Secondary Teacher Certification Students)

MTH 371 Differential Equations

MTH 380 Abstract Algebra

**C. Required for Secondary Teacher Certification Students: **

MTH 347 Methods in Teaching Secondary Mathematics

The mathematics minor for elementary teaching requires 23 credits in mathematics.

**A. Required Mathematics Courses**

MTH 110 Elementary Functions

MTH 300 College Geometry

MTH 310 Concepts in Elementary Mathematics I

MTH 311 Concepts in Elementary Mathematics II

MTH 325 Probability and Statistics

MTH 330 Teaching Probability and Statistics in Grades K-8

**B. Choose one of the following:**

MTH 251 Calculus I (Required for Elementary Teacher
Certification Students)

MTH 265 Discrete Mathematics

MTH 270 Graph Theory

The secondary mathematics endorsement requires 23 credit hours in mathematics and is open only to students currently holding a secondary teaching certificate.

*Required Mathematics Courses*

MTH 251 Calculus I

MTH 252 Calculus II

MTH 265 Discrete Mathematics

MTH 300 College Geometry

MTH 325 Probability and Statistics

MTH 353 Linear Algebra

MTH 347 Methods for Teaching Secondary Mathematics

The elementary mathematics endorsement requires 24 credits in mathematics and is open only to students currently holding an elementary teaching certificate.

**Required Mathematics Courses
**

MTH 110 Elementary Functions

MTH 251 Calculus I

MTH 300 College Geometry

MTH 310 Concepts in Elementary Mathematics I

MTH 311 Concepts in Elementary Mathematics II

MTH 325 Probability and Statistics

MTH 330 Teaching Probability and Statistics in Grades K-8

Engineers help people and society by creating innovative designs ranging from limb prostheses, joint replacements and heart machines to automobiles, airplanes and computers, to clean water processes, wind turbines and solar panels for alternative energy. Engineers and Engineering Technologists then design and oversee the manufacturing processes to ensure quality products are provided to customers.

The Pre-Engineering program at Marygrove College can be a great stepping stone whether you want to be an architectural, electrical, mechanical, civil or any other engineer. Marygrove’s Pre-Engineering Program has been designed to give you a strong foundation in math, science and basic engineering principles that you can build upon through further and more specialized study. You will be introduced to the engineering professions through internships, field experiences, lectures and guest speakers, and learn about workplace expectations and problem-solving through teamwork.

Students interested in Pre-Engineering should declare a B.S. in Mathematics major and will take a program of study that will prepare students to transfer to Engineering and Engineering Technology programs at other institutions to complete their upper level courses for graduation. Dual diploma programs and integrated Master’s Degree programs are also being developed.

**Pre-Engineering Core:**

CHM 140 General Chemistry II

ISC 222 Introduction to Engineering

MTH 251 Calculus I

MTH 252 Calculus II

MTH 254 Calculus III

MTH 353 Linear Algebra

MTH 371 Differential Equations

PHY 285 Physics I

PHY 286 Physics II

Additional courses are needed depending on the type of engineering program you choose to pursue. Students must achieve a C or higher in the pre-engineering core courses and maintain a minimum overall GPA of 2.5.

**MTH 099 Pre-Algebra 3 hours **

*Term: fall, winter, summer; Fee: yes*

Basic principles and operations of arithmetic‚ elementary
algebra‚ informal geometry‚ systems of measurement, and
problem solving techniques to enable students to develop the
ability to understand and use basic mathematical methods.
Credit in this course does not count toward graduation. Must
be completed with at least a C-.

**MTH 100 Algebra 3 hours
**

*Prerequisites: MTH 099 with a grade of C- or better, or placement
recommendation; Term: fall, winter, summer; Fee: yes *

Linear equations and inequalities and their graphs, systems of
two equations in two unknowns, quadratic equations, factoring,
elementary operations with polynomials‚ rational expressions,
exponents and radicals, and word problems. This course may
not be used to fulfill general education requirements.

**MTH 103 Mathematics for Health Careers 4 hours
**

*Prerequisites: MTH 099 with a C or better; Term: fall, winter*

Applies basic mathematical skills in calculations required
for the usual dosage determinations, as well as solution
preparations using weight, metric, household, and apothecary
systems.

**MTH 105 Intermediate Algebra 4 hours**

*Prerequisite: MTH 100 or one year high school algebra;
Term: fall, winter, summer. *

Real numbers, operations with polynomials and rational
expressions, factoring, rational exponents and radicals, first
degree equations and inequalities, quadratic equations, systems
of equations, logarithms, scientific notation and applications.

**MTH 110 Elementary Functions 4 hours
**

*Prerequisites: MTH 105 or two years high school algebra,
department approval; Term: fall, winter, summer *

Elementary functions, their graphs and applications using a
graphing calculator, analytical geometry, polynomial and rational
functions, exponential and logarithmic functions, trigonometric
functions, trigonometric identities, sequences and series, and the
binomial theorem. Designed as a pre-calculus course.

**MTH 251 Calculus I 4 hours
**

*Prerequisites: MTH 110 or two years of high school algebra,
one year high school geometry, one-half year of trigonometry;
Term: fall, winter *

Analytic geometry in the plane, functions, limits and
continuity, derivatives and applications, and indefinite
integrals and applications.

**MTH 252 Calculus II 4 hours
**

*Prerequisite: MTH 251; Term: winter *

Exponential and logarithmic functions, trigonometric and inverse

trigonometric functions, techniques of integration, indeterminate

forms, improper integrals, Taylor’s formula, and infinite series.

**MTH 254 Calculus III 4 hours
**

*Prerequisite: MTH 252; Term: fall, offered alternate years [odd] *

Polar coordinates, vectors, vector-valued functions,
three dimensional analytic geometry, partial derivatives,
and multiple integration.

**MTH 265 Discrete Mathematics 3 hours
**

*Prerequisite: MTH 110; Term: fall *

Sets, functions, algorithms, mathematical induction, counting
methods, permutations and combinations, recurrence relations,
Boolean algebra, relations, and matrices. Writing intensive
course for math majors.

**MTH 270 Graph Theory 3 hours**

*Prerequisite: MTH 110; Term winter*

An introduction to topics and applications of graph theory.

Graph theory topics are selected from the following: paths,

cycles, circuits, Eulerian circuits, Hamiltonian cycles,

generalized pancyclicity, forbidden subgraphs, connectivity,

trees, social networks, planarity, graph colorings, directed

graphs, modeling. Additionally, the course includes an

introduction to set theory, and methods of proof (direct proof,

proof by contradiction, proof by cases, proof by induction).

**MTH 300 College Geometry 3 hours
**

*Prerequisite: MTH 110; Term: winter *

Properties of geometric figures, proofs, constructions, solving
applied problems, use of coordinate geometry and transformation
geometry, and Euclidean and non-Euclidean geometry.

**MTH 310 Concepts in Elementary Mathematics I 3 hours**

*Prerequisite: MTH 105; Term: fall *

Foundations for learning mathematics, sets, algebraic thinking,
numeration, fundamental operations of arithmetic, estimation,
number theory, integers, rational numbers, real numbers, and
explorations.

**MTH 311 Concepts in Elementary Mathematics II 3 hours**

*Prerequisite: MTH 310; Term: winter *

Ratio and proportion, percents, representing and interpreting
data, centers and spreads of distributions, concepts related
to chance, basic concepts of geometry, congruence, transformations,
symmetry and tessellations, similarity, perimeter,
area, volume, and explorations.

**MTH 325 Probability and Statistics 3 hours
**

*Prerequisite: MTH 110; Term: fall, summer*

Sample spaces, probability of events, random variables,
counting techniques, descriptive statistics, binomial and normal
distributions, confidence intervals, and hypothesis testing.

**MTH 330 Teaching Probability and Statistics
in Grades K–8 4 hours
**

*Prerequisite: MTH 325; Math Major or Minor for Elementary
Teaching; Term: winter, offered alternate years [odd] *

Statistical graphs, centers and spreads of distributions,
appropriate statistical software and student activities,
explorations and investigations, and current issues in
mathematics education.

**MTH 347 Methods in Teaching
Secondary Mathematics
3 hours**

*Prerequisites: EDU 240, EDU 241, EDU 347, Math major or minor,
junior or senior standing; Term: winter*

Philosophical basis for mathematics teaching, survey of special
programs in mathematics, specific objectives, materials and
curriculum planning for mathematics in middle and secondary
schools, emphasis on role of problem solving in mathematics
teaching. Observations of classroom teaching. Course offered
as needed.

**MTH 353 Linear Algebra 3 hours**

*Prerequisite: MTH 251; Term: winter, offered alternative
years [even] *

Matrices, linear systems, determinants, vector spaces,
linear transformations, eigenvalues and eigenvectors, and
applications.

**MTH 371 Differential Equations 3 hours**

*Prerequisite: MTH 252; Term: fall, offered alternative
years [even]*

Differential equations of the first order and first degree, as well
as their applications, linear dependence and independence,
linear differential equations of order two and higher, series
solutions of linear differential equations, and systems of linear
differential equations.

**MTH 380 Abstract Algebra 3 hours
**

*Prerequisite: MTH 265; Term: winter, offered alternate
years [odd] *

An introduction to topics and applications of abstract algebra
which includes an intensive study of fundamental algebraic
structures such as groups, rings, and fields. This course also
serves as an introduction to theoretical mathematics and proof writing.
Methods of proof utilized will include direct proof,
proof by contradiction, proof by induction, and proof
by cases. The course is writing-intensive and designed to
develop mathematical maturity.

**MTH 388 Cooperative Field Experience 1-4 hours**

*Prerequisites: Departmental approval, junior standing*

Supervised work experience in activity related to area of
specialization, which is planned in consultation with advisor,
co-op supervisor and employer. Recording, reporting, and
evaluation of experience will be required.

**MTH 491 Independent Study 1-4 hours
**

*Prerequisites: Permission of instructor, mathematics major,
junior or senior status; Term: 1, 2*

In-depth study of a student-selected topic in consultation with
a faculty member.

**MTH 496A Senior Seminar: Library Research 2 hours
**

*Prerequisites: Senior standing in the major; completion of
general education and writing requirements; completion of
preliminary summer library research project; Term: fall *

Investigation of a significant mathematical problem with the
direction of a faculty member. Use of computer for library
informational searches, scientific writing, data analysis and
word processing. Oral presentation and paper required. If you
intend to take MTH 496A, you must inform the department in
the preceding winter semester.

**MTH 496B Senior Seminar: Conclusion 2 hours**

*Prerequisite: MTH 496A; Term: winter*

The mathematical problem researched in MTH 496A is brought
to a conclusion. An oral presentation and a final research paper
are required.