Master of Arts in Pure Mathematics
Master of Arts in Statistics and Applied
Mathematics
T
eacher Education Programs in Adolescent Mathematics
(Grades 7-12)
MASTER
of ARTS in PURE MATHEMATICS
Admission Requirements
The general college admission requirements must be satisfied.
These include the Graduate Record Examination and two letters of recommendation.
The Department’s requirements are flexible. They are intended
to encourage students without a prior specialization in mathematics
to pursue a degree in mathematics.
Degree Requirements
Ten courses, 30 credits, chosen as described below
Four comprehensive examinations
Language competency
Core Curriculum (15 credits, 5 courses)
Algebra Core
MATH 721 Modern Algebra I and
either MATH 722 Modern Algebra II
or
MATH 725 Advanced Linear Algebra
Analysis Core
MATH 746 Theory of Functions of a Real
Variable I and
either MATH 747 Theory
of Functions of a Real Variable II
or
MATH 742 Analytic Functions
Geometry and Topology Core
MATH 750 Calculus on Manifolds
or MATH 751 General Topology
Electives (15 credits, 5 courses)
Fifteen credits in mathematics and statistics to constitute
a cohesive program. The student’s selection of elective courses
must have advisor approval. The 600-level courses are intended as preparation.
Due to the rotation schedule, however, a 700-level course may not be available to
a student. A limited number of 600-level courses may be used as electives to ensure that students graduate in a timely fashion.
Comprehensive Examinations
Students must complete comprehensive examinations in
four areas of mathematics during their final semester. Examinations
in algebra and analysis are required, and the other two topics can be
selected with an advisor's approval. A failed examination may be repeated.
After two failures the student must have the approval of a committee
formed by the department chair to review the case. The student may be
allowed to repeat the exam or may be required to leave the program.
Language Examination
Students must exhibit a working knowledge of a foreign
language by translating a mathematical passage into English.
For further information on the MA in Pure Mathematics, please contact
Professor John Loustau: jloustau@msn.com.
MASTER
of ARTS in STATISTICS and APPLIED MATHEMATICS:
Admission Requirements
The general college admission requirements must be satisfied.
These include the Graduate Record Examination and two letters of recommendation.
In addition, the Department requires one semester of Linear Algebra (MATH 260) and one semester of Multivariate Calculus (MATH 250). The
Department’s requirements are minimal. They are intended to encourage
students without a previous specialization in mathematics to pursue
a degree in statistics and applied mathematics.
Four program sequences are available for the MA in
Statistics and Applied Mathematics -
Track I: Statistics,
Track II: Applied Mathematics, Track III:
Bioinformatics, and Track IV: Mathematical Finance.
Track I: STATISTICS
Degree Requirements
Thirty credits (10 courses)*, chosen as described below:
Core Curriculum** (15 credits, 5 courses)
1. STAT 701 Advanced Probability Theory I
2. STAT 702 Advanced Probability Theory II
3. STAT 703 Mathematical Statistics
4. STAT 706 General Linear Models I
5. STAT 707 General Linear Models II
Electives (12 credits, 4 courses)
Twelve credits in statistics, computer science, mathematics,
or relevant areas of application, selected to constitute a cohesive
program. Typically, these courses are at the MATH 700 and/or STAT 700
level. Electives must be approved by the Graduate Statistics and Applied
Mathematics Advisor.
Project (3 credits, 1 course)
STAT 790 Case Seminar
The student, guided by a member of the faculty, prepares a project in
statistics. The student presents the results to faculty and students
in a seminar during the student’s final semester. This replaces
the comprehensive examination requirement.
Students must exhibit a working knowledge of two useful computer
languages or data analysis packages. This replaces the foreign language
requirement. Typically, this is satisfied by learning and using R, MATHEMATICA, SPSS, or SAS. MATHEMATICA is used in Math 685, and R in Stat 706, 707, 715, 716, and 717.
For further information on the MA in Statistics, please contact
the statistics advisor.
*The 30 credits (10 courses) must be approved by an advisor and constitute
a concentration.
**Courses already taken as an undergraduate will satisfy specific course
requirements but are not included in the 30-credit (10-course) total.
Track II: APPLIED MATHEMATICS
Degree Requirements
Thirty credits (10 courses)*, chosen as described below:
Core Curriculum** (15 credits, 5 courses)
1. MATH 68500 Numerical Methods 3.0 cr
2. STAT 70100 Advanced Probability Theory I 3.0 cr
3. STAT 78600 Modeling and Visualization 3.0 cr
4. One of:
- MATH 74600 Theory of Functions of a Real Variable I 3.0 cr
- MATH 74700 Theory of Functions of a Real Variable II 3.0 cr
5. One of:
- MATH 72100 Modern Algebra I 3.0 cr
- MATH 72500 Advanced Linear Algebra 3.0 cr
- MATH 78500 Advanced Numerical Analysis, Finite Differences, and Collocation 3.0 cr
- MATH 79562 Stochastic Optimization: Computation and Simulation 3.0 cr
Electives (12 credits, 4 courses)
Twelve credits in statistics, computer science, mathematics, or relevant
areas of application, selected to constitute a cohesive program. Typically,
these courses are at the MATH 70000 and/or STAT 70000 level. Electives must
be approved by the Graduate Applied Mathematics Advisor. Alternatives to required courses that were
not selected may be used as electives.
Suggested electives are:
MATH 64200 Introduction to Theory of Functions of a Complex Variable 3.0 cr
MATH 65400 Dynamical Systems and Chaos 3.0 cr
MATH 78500 Advanced Numerical Analysis, Finite Differences, and Collocation 3.0 cr
MATH 74700 Theory of Functions of a Real Variable II
STAT 70300 Mathematical Statistics 3.0 cr
STAT 70600 General Linear Models I 3.0 cr
STAT 71500 Time Series Analysis 3.0 cr
STAT 72200 Theory of Games 3.0 cr
STAT 72600 The Theory and Methods of Sampling 3.0 cr
STAT 73900 Bayesian Statistics 3.0 cr
STAT 76100 Advanced Concepts in Financial Markets 3.0 cr
STAT 78700 Statistical Models for Spatial Data 3.0 cr
Project (3 credits, 1 course)
STAT 790 Case Seminar
The student, guided by a member of the faculty, prepares a project in
applied mathematics. The student presents the results to faculty and
students in a seminar during the student’s final semester. This
replaces the comprehensive examination requirement.
Also, the student must exhibit a working knowledge of two useful
computer languages or data analysis packages. This replaces the foreign
language requirement. Typically, this is satisfied by learning and using R, MATHEMATICA, SPSS, or SAS. MATHEMATICA is used in Math 68500, and R in Stat 70600, 70700, 71500, 71600, and 71700.
For further information on the MA in Applied Mathematics, please
contact Professor John Loustau: jloustau@msn.com.
*The 30 credits (10 courses) must be approved by an advisor and
constitute a concentration.
**Courses already taken as an undergraduate will satisfy specific course
requirements but are not included in the 30-credit (10-course) total.
Track III: BIOINFORMATICS
Additional Admission Requirements
The Bioinformatics track allows students with career plans in the biomedical
sciences and without a previous specialization in mathematics to pursue
a degree in statistics and applied mathematics. In addition to the above
departmental requirements for admission to the MA program in Statistics
and Applied Mathematics, it is required that the student have an adequate
undergraduate training in biological sciences, chemistry, or related
fields, as well as strong computer programming skills. The following
track requirements, or their equivalents, are the minimal requirements
that the student must meet in order to enter the Bioinformatics track:
1. One semester of introductory biology (BIOL 100 or equivalent)
2. One year of general chemistry (CHEM 102-105 or equivalent)
3. One semester of organic chemistry (CHEM 222 or equivalent)
4. One semester of biological chemistry (BIOL 300 or equivalent)
5. Familiarity with UNIX and database programming (CSCI 132-232 or equivalent)
Degree Requirements
Thirty credits (10 courses)*, from courses chosen as follows:
Core Curriculum** (15 credits,
5 courses)
1. STAT 701 Advanced Probability I
2. STAT 703 Mathematical Statistics
3. STAT 706 General Linear Models I
4. STAT 716 Data Analysis -or- STAT 717 Multivariate
Analysis
5. STAT 739 Bayesian Statistics
Electives (12 credits, 4 courses)
Four graduate courses in biology, chemistry, or related fields. Those
must constitute a cohesive curriculum in bioinformatics, and must be
approved by the Graduate Bioinformatics Advisor.
Suggested electives in the natural sciences are:
ANTH 790 Biological Anthropology
ANTH 793 Human Evolutionary Genetics
BIOL 700.05 Genetics
BIOL 710.13 Molecular Biology Lecture
BIOL 750.03 Developmental Biology
BIOL 790.49 Computational Molecular Biology
CHEM 698.03 Chemical Genomics
Project (3 credits, 1 course)
STAT 790 Case Seminar
The student, guided by a member of the faculty,
prepares a project in bioinformatics. The student presents the results
to faculty and students in a seminar during the student's final semester.
This replaces the comprehensive examination requirement.
Students must exhibit a working knowledge of two useful computer
languages or data analysis packages. This replaces the foreign language
requirement. Typically, this is satisfied by learning and using R, MATHEMATICA, SPSS, or SAS. MATHEMATICA is used in Math 685, and R in Stat 706, 707, 715, 716, and 717.
For further information on the MA in Bioinformatics,
please contact the statistics advisor.
*The 30 credits (10 courses) must be approved by an advisor and
constitute a concentration.
**Courses already taken as an undergraduate will satisfy specific course
requirements but are not included in the 30-credit (10-course) total.
Track IV: MATHEMATICAL FINANCE
Degree Requirements
Thirty credits (10 courses) as described below.
Required Core (24 credits, 8 courses)
STAT 701 Advanced Probability Theory I
STAT 702 Advanced Probability Theory II
STAT 703 Mathematical Statistics
MATH 685 Numerical Methods
STAT/ECO 761 Advanced Concepts in Financial Markets
STAT 762 Stochastic Models in Finance
ECO 701 Microeconomic Theory
ECO 760 Financial Economics
Electives (3 credits, 1 course)
ECO 711 Banking and Financial Markets
ECO 721 Linear Econometric Analysis
STAT 715 Time Series
STAT 722 Theory of Games
ECO 760 Games and Information
Project (3 credits, 1 course)
STAT 790 Case Seminar
The student, guided by a member of the faculty, prepares a project in
mathematical finance. The student presents the results to faculty and
students in a seminar during the student’s final semester. This
replaces the comprehensive examination requirement.
Students must exhibit a working knowledge of two useful
computer languages or data analysis packages. This replaces the foreign
language requirement. Typically, this is satisfied by learning and using R, MATHEMATICA, SPSS, or SAS. MATHEMATICA is used in Math 685, and R in Stat 706, 707, 715, 716, and 717.
For further information on the MA in Mathematical Finance, please contact
the statistics advisor.
TEACHER EDUCATION PROGRAMS
in ADOLESCENT MATHEMATICS (Grades 7-12):
Three graduate programs are available: an MA
in adolescent mathematics education, an Advanced
Certificate in mathematics, and Professional
Certification in mathematics education.
A. Master of Arts in Adolescent Mathematics Education
This is a 41- to 42-credit MA program designed for individuals who completed
an undergraduate major in mathematics but have little or no background
in teacher education. The program is offered in collaboration with the
School of Education and leads to New York State initial certification.
Admission Requirements
1. A bachelor’s degree from an accredited institution acceptable
to Hunter College with an overall cumulative grade point average (GPA)
of 3.0.
2. 24 or more credits in mathematics approved by the mathematics education
advisor, including a course in elementary statistics, a year of calculus,
and a course in matrix algebra or linear algebra. Applicants may be
admitted on the condition that they complete up to 12 credits of additional
course work in mathematics. A transcript review will determine which
additional credits, if any, are needed.
3. A grade point average of at least 2.7 in mathematics courses.
4. A general education core in the liberal arts and sciences to include
the following in addition to math: 6 credits in English, 6 credits in
a language other than English (3 years of high school study in the same
foreign language with grades of C or better documented by a high school
transcript will meet this requirement), 6 credits in social studies
(to include at least one course in U.S. history or U.S. geography),
6 credits in science/technology, 3 credits in the arts.
Degree Requirements
Education (26-27 credits)
See the School of Education section of the graduate catalog for specification
of courses.
Mathematics (15 credits)
MATH 620 Secondary School Mathematics from an Advanced Perspective I
MATH 630 Secondary School Mathematics from an Advanced Perspective II
MATH 633* Axiomatic Geometry
MATH 635* Problem Solving Explorations in Mathematics
STAT 612*/** Discrete Probability or STAT 614*/** Data Analysis Using Statistical Software
Comprehensive Examination
Also required is passing a comprehensive examination in mathematics
consisting of three parts covering the material in MATH 620, 630 and
633. Students may sit for the comprehensive examination only after having
taken all three courses. Students who fail any part of the examination
need only retake that part of the examination. A student can take any
part of the comprehensive exam in mathematics twice; after that, a committee
formed by the Mathematics/Statistics Chairperson and consisting of members
from the Department of Mathematics and Statistics and the Department
of Curriculum and Teaching, will decide if the student can take the
exam a third and final time.
*With approval of the graduate mathematics adviser, students who have
had substantial coverage of a given area within an undergraduate curriculum
may be allowed to replace a course or courses in this category with
electives, preferably elective courses at a more advanced level in the
same area.
**Although students are required to take EITHER STAT 612 OR STAT 614,
students are encouraged to take both courses.
B. Advanced Certificate in Mathematics
The School of Education offers an Advanced Certificate Program in Mathematics
Education that leads to initial certification. This program is designed
for individuals who already have a master’s degree in mathematics,
but who need the appropriate pedagogical preparation for teaching mathematics
in grades 7-12. For more information, go to:
http://hunter.cuny.edu/school-of-education/programs/graduate/adolescent/mathematics.
If the link does not work, please copy the address in the URL box.
C. Professional Certification
in Mathematics Education
This master’s degree in mathematics education is designed for
teachers who already hold New York State certification in mathematics
7-12. The program meets the academic requirements for professional certification
in mathematics 7-12. Graduates of the program also need to have completed
three years of full-time teaching in order to obtain professional certification.
For more information, go to: http://hunter.cuny.edu/school-of-education/programs/graduate/adolescent/mathematics.
If the link does not work, please copy the address in the URL box.
For further information on the graduate programs in Adolescent Mathematics
Education,
please contact Dr. Patrick Burke, pburke@hunter.cuny.edu .