FOR
INFORMATION, CONTACT
Ken Williams, Ph.D.
Liberal Arts Building, Room 327
Phone: (313) 927-1318
E-Mail: kwilliams@marygrove.edu
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
POTENTIAL CAREERS
Computer Programmer, Engineer , Systems Analyst and Teacher.
FACULTY
Jana Abolins, Ph.D.; Marylynn Russ,IHM, M.Ed. and Ken Williams, Ph.D.
GENERAL INFORMATION
The Department of Mathematics 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, and a minor in mathematics for elementary teaching. 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. The programs are intended for day and/or evening students.
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 mathematics major (B.S. or B.A.) consists of 32 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 21 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 and as an effective complement to a major in computer information systems.
The minor in mathematics for elementary teaching requires 20 credits in mathematics and is designed to be an elementary teaching minor.
It is recommended that all students majoring in mathematics participate in a National Assessment Instrument (i.e., MTTC, GRE, MCAT) prior to graduation.
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.
SPECIAL ELEMENTS OF THE PROGRAM
Academic performance is important and therefore only required courses
completed with a grade of C minus or better can be applied toward the
fulfillment of the mathematics major or minor.
BACHELOR OF SCIENCE, MATHEMATICS MAJOR (B.S.)
The Bachelor of Science with a major in mathematics requires completion
of the following components, including a minimum of 32 credit hours in
mathematics.
A. General Education Requirements
See general education requirements.
B. Required Mathematics Courses
MTH 110 Elementary Functions
MTH 251 Calculus I
MTH 252 Calculus II
MTH 254 Calculus III
MTH 265 Discrete Mathematics
MTH 353 Linear Algebra
MTH 371 Differential Equations
MTH 496A Senior Seminar: Library Research
MTH 496B Senior Seminar: Conclusion
C. Choose three credits from:
MTH 300 College Geometry
MTH 325 Probability and Statistics
D. You must take additional classes in mathematics and/or science courses to attain the required 48 credit hours for the Bachelor of Science degree.
E. Required for Secondary Teacher Certification Students:
MTH 347 Methods in Teaching Mathematics
BACHELOR OF ARTS, MATHEMATICS MAJOR (B.A.)
A. General Education Requirements
See page 61.
B. Required Mathematics Courses
MTH 110 Elementary Functions
MTH 251 Calculus I
MTH 252 Calculus II
MTH 254 Calculus III
MTH 265 Discrete Mathematics
MTH 353 Linear Algebra
MTH 371 Differential Equations
MTH 496A Senior Seminar: Library Research
MTH 496B Senior Seminar: Conclusion
C. Choose three credits from:
MTH 300 College Geometry
MTH 325 Probability and Statistics
D. Required for Secondary Teacher Certification Students:
MTH 347 Methods in Teaching Mathematics
BACHELOR OF ARTS, MATHEMATICS MAJOR FOR ELEMENTARY TEACHING (B.A.)
A. General Education Requirements
See general education requirements.
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
MATHEMATICS MINOR
The mathematics minor requires 21 credit hours in mathematics.
A. Required Mathematics Courses
MTH 110 Elementary Functions
MTH 251 Calculus I
MTH 252 Calculus II
MTH 265 Discrete Mathematics
MTH 300 College Geometry
MTH 325 Probability and Statistics
B. Required for Secondary Teacher Certification Students:
MTH 347 Methods in Teaching Mathematics
MATHEMATICS MINOR FOR ELEMENTARY TEACHING
The mathematics minor for elementary teaching requires 20 credits in mathematics.
A. Required Mathematics Courses
MTH 110 Elementary Functions
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 the remaining credits from:
MTH 251 Calculus I
MTH 265 Discrete Mathematics
MTH 300 College Geometry
MTH 099 Pre-Algebra 3 hours
Term 1, 2, 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: 1, 2, 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 105 Intermediate Algebra 4 hours
Prerequisite: MTH 100 or one year high school algebra; Term: 1, 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: 2, 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: 1
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: 2
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: 1
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: 2
Sets, functions, algorithms, mathematical induction, counting methods,
permutations and combinations, recurrence relations, Boolean algebra,
relations, and matrices. Writing intensive course for math majors.
MTH 300 College Geometry 3 hours
Prerequisite: MTH 110; Term: 2
Properties of geometric figures, proofs, constructions, solving applied
problems, use of coor-dinate geometry and transformation geometry, and
Euclidean and non-Euclidean geometry.
MTH 310 Concepts in Elementary Mathematics I 3 hours
Prerequisite: MTH 105; Math Major or Minor for Elementary Teaching;
Term: 1
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; Math Major or Minor for Elementary Teaching;
Term: 2
Ratio and proportion, percents, representing and interpreting data, centers
and spreads of distributions, concepts related to chance, basic concepts
of geometry, congruence, trans-formations, symmetry and tessellations,
similarity, perimeter, area, volume, and explorations.
MTH 325 Probability and Statistics 3 hours
Prerequisite: MTH 110; Term 1
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 2
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 Mathematics 3 hours
Prerequisites: EDU 240, EDU 241, EDU 347, Math major or minor, junior
or senior standing; Term 2
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 252; Term: 2
Matrices, linear systems, determinants, vector spaces, linear transformations,
eigenvalues and eigenvectors, and applications.
MTH 371 Differential Equations 3 hours
Prerequisite: MTH 252; Term: 1
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 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: 1
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: 2
The mathematical problem researched in MTH 496A is brought to a conclusion.
An oral presentation and a final research paper are required.
last updated 7/07